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@article{Butz2014,
title = {Homeostatic Structural Plasticity Increases the Efficiency of Small-World Networks},
volume = {6},
issn = {1663-3563},
url = {http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3978244/},
doi = {10.3389/fnsyn.2014.00007},
abstract = {In networks with small-world topology, which are characterized by a high clustering coefficient and a short characteristic path length, information can be transmitted efficiently and at relatively low costs. The brain is composed of small-world networks, and evolution may have optimized brain connectivity for efficient information processing. Despite many studies on the impact of topology on information processing in neuronal networks, little is known about the development of network topology and the emergence of efficient small-world networks. We investigated how a simple growth process that favors short-range connections over long-range connections in combination with a synapse formation rule that generates homeostasis in post-synaptic firing rates shapes neuronal network topology. Interestingly, we found that small-world networks benefited from homeostasis by an increase in efficiency, defined as the averaged inverse of the shortest paths through the network. Efficiency particularly increased as small-world networks approached the desired level of electrical activity. Ultimately, homeostatic small-world networks became almost as efficient as random networks. The increase in efficiency was caused by the emergent property of the homeostatic growth process that neurons started forming more long-range connections, albeit at a low rate, when their electrical activity was close to the homeostatic set-point. Although global network topology continued to change when neuronal activities were around the homeostatic equilibrium, the small-world property of the network was maintained over the entire course of development. Our results may help understand how complex systems such as the brain could set up an efficient network topology in a self-organizing manner. Insights from our work may also lead to novel techniques for constructing large-scale neuronal networks by self-organization.},
journaltitle = {Frontiers in Synaptic Neuroscience},
shortjournal = {Front Synaptic Neurosci},
urldate = {2014-10-06},
date = {2014-04-01},
author = {Butz, Markus and Steenbuck, Ines D. and van Ooyen, Arjen},
options = {useprefix=true},
file = {/home/fh/lib/articles/Butz2014.pdf},
eprinttype = {pmid},
eprint = {24744727},
pmcid = {PMC3978244}
}
@article{Vogels2011,
langid = {english},
title = {Inhibitory {{Plasticity Balances Excitation}} and {{Inhibition}} in {{Sensory Pathways}} and {{Memory Networks}}},
volume = {334},
issn = {0036-8075, 1095-9203},
url = {http://www.sciencemag.org/content/334/6062/1569},
doi = {10.1126/science.1211095},
abstract = {Cortical neurons receive balanced excitatory and inhibitory synaptic currents. Such a balance could be established and maintained in an experience-dependent manner by synaptic plasticity at inhibitory synapses. We show that this mechanism provides an explanation for the sparse firing patterns observed in response to natural stimuli and fits well with a recently observed interaction of excitatory and inhibitory receptive field plasticity. The introduction of inhibitory plasticity in suitable recurrent networks provides a homeostatic mechanism that leads to asynchronous irregular network states. Further, it can accommodate synaptic memories with activity patterns that become indiscernible from the background state but can be reactivated by external stimuli. Our results suggest an essential role of inhibitory plasticity in the formation and maintenance of functional cortical circuitry.},
number = {6062},
journaltitle = {Science},
shortjournal = {Science},
urldate = {2014-10-06},
date = {2011-12-16},
pages = {1569--1573},
author = {Vogels, T. P. and Sprekeler, H. and Zenke, F. and Clopath, C. and Gerstner, W.},
file = {/home/fh/lib/articles/Vogels2011.pdf},
eprinttype = {pmid},
eprint = {22075724}
}
@article{Kuljis2010,
title = {Integrative Understanding of Emergent Brain Properties, Quantum Brain Hypotheses, and Connectome Alterations in Dementia Are Key Challenges to Conquer {{Alzheimer}}'s Disease},
volume = {1},
url = {http://journal.frontiersin.org/Journal/10.3389/fneur.2010.00015/full},
doi = {10.3389/fneur.2010.00015},
abstract = {The biological substrate for cognition remains a challenge as much as defining this function of living beings. Here, we examine some of the difficulties to understand normal and disordered cognition in humans. We use aspects of Alzheimer's disease and related disorders to illustrate how the wealth of information at many conceptually separate, even intellectually decoupled, physical scales \textendash{} in particular at the Molecular Neuroscience versus Systems Neuroscience/Neuropsychology levels \textendash{} presents a challenge in terms of true interdisciplinary integration towards a coherent understanding. These unresolved dilemmas include critically the as yet untested quantum brain hypothesis, and the embryonic attempts to develop and define the so-called connectome in humans and in non-human models of disease. To mitigate these challenges, we propose a scheme incorporating the vast array of scales of the space and time (space\textendash{}time) manifold from at least the subatomic through cognitive-behavioral dimensions of inquiry, to achieve a new understanding of both normal and disordered cognition, that is essential for a new era of progress in the Generative Sciences and its application to translational efforts for disease prevention and treatment.},
journaltitle = {Dementia},
shortjournal = {Front. Neur},
urldate = {2014-11-21},
date = {2010},
pages = {15},
keywords = {Connectome,Alzheimer’s disease,cognition,mesoscale,quantum brain},
author = {Kulji{\v s}, Rodrigo O.},
file = {/home/fh/lib/articles/Kuljiš2010.pdf}
}
@online{zotero-null-4,
title = {{{LaTeX}}-Examples},
url = {https://github.com/MartinThoma/LaTeX-examples},
abstract = {LaTeX-examples - Examples for the usage of LaTeX},
journaltitle = {GitHub},
urldate = {2014-01-21}
}
@article{Park2013,
langid = {english},
title = {Structural and {{Functional Brain Networks}}: {{From Connections}} to {{Cognition}}},
volume = {342},
issn = {0036-8075, 1095-9203},
url = {http://www.sciencemag.org/content/342/6158/1238411},
doi = {10.1126/science.1238411},
shorttitle = {Structural and {{Functional Brain Networks}}},
abstract = {How rich functionality emerges from the invariant structural architecture of the brain remains a major mystery in neuroscience. Recent applications of network theory and theoretical neuroscience to large-scale brain networks have started to dissolve this mystery. Network analyses suggest that hierarchical modular brain networks are particularly suited to facilitate local (segregated) neuronal operations and the global integration of segregated functions. Although functional networks are constrained by structural connections, context-sensitive integration during cognition tasks necessarily entails a divergence between structural and functional networks. This degenerate (many-to-one) function-structure mapping is crucial for understanding the nature of brain networks. The emergence of dynamic functional networks from static structural connections calls for a formal (computational) approach to neuronal information processing that may resolve this dialectic between structure and function.
Background The human brain presents a puzzling and challenging paradox: Despite a fixed anatomy, characterized by its connectivity, its functional repertoire is vast, enabling action, perception, and cognition. This contrasts with organs like the heart that have a dynamic anatomy but just one function. The resolution of this paradox may reside in the brain's network architecture, which organizes local interactions to cope with diverse environmental demands\textemdash{}ensuring adaptability, robustness, resilience to damage, efficient message passing, and diverse functionality from a fixed structure. This review asks how recent advances in understanding brain networks elucidate the brain's many-to-one (degenerate) function-structure relationships. In other words, how does diverse function arise from an apparently static neuronal architecture? We conclude that the emergence of dynamic functional connectivity, from static structural connections, calls for formal (computational) approaches to neuronal information processing that may resolve the dialectic between structure and function.
Schematic of the multiscale hierarchical organization of brain networks. Brain function or cognition can be described as the global integration of local (segregated) neuronal operations that underlies hierarchical message passing among cortical areas, and which is facilitated by hierarchical modular network architectures.
Advances Much of our understanding of brain connectivity rests on the way that it is measured and modeled. We consider two complementary approaches: the first has its basis in graph theory that aims to describe the network topology of (undirected) connections of the sort measured by noninvasive brain imaging of anatomical connections and functional connectivity (correlations) between remote sites. This is compared with model-based definitions of context-sensitive (directed) effective connectivity that are grounded in the biophysics of neuronal interactions. Recent topological network analyses of brain circuits suggest that modular and hierarchical structural networks are particularly suited for the functional integration of local (functionally specialized) neuronal operations that underlie cognition. Measurements of spontaneous activity reveal functional connectivity patterns that are similar to structural connectivity, suggesting that structural networks constrain functional networks. However, task-related responses that require context-sensitive integration disclose a divergence between function and structure that appears to rest mainly on long-range connections. In contrast to methods that describe network topology phenomenologically, model-based theoretical and computational approaches focus on the mechanisms of neuronal interactions that accommodate the dynamic reconfiguration of effective connectivity. We highlight the consilience between hierarchical topologies (based on structural and functional connectivity) and the effective connectivity that would be required for hierarchical message passing of the sort suggested by computational neuroscience.
Outlook In summary, neuronal interactions represent dynamics on a fixed structural connectivity that underlie cognition and behavior. Such divergence of function from structure is, perhaps, the most intriguing property of the brain and invites intensive future research. By studying the dynamics and self-organization of functional networks, we may gain insight into the true nature of the brain as the embodiment of the mind. The repertoire of functional networks rests upon the (hidden) structural architecture of connections that enables hierarchical functional integration. Understanding these networks will require theoretical models of neuronal processing that underlies cognition.},
number = {6158},
journaltitle = {Science},
shortjournal = {Science},
urldate = {2014-06-16},
date = {2013-01-11},
pages = {1238411},
author = {Park, Hae-Jeong and Friston, Karl},
file = {/home/fh/lib/articles/Park2013.pdf},
eprinttype = {pmid},
eprint = {24179229}
}
@article{Pernice2011,
title = {How {{Structure Determines Correlations}} in {{Neuronal Networks}}},
volume = {7},
url = {http://dx.doi.org/10.1371/journal.pcbi.1002059},
doi = {10.1371/journal.pcbi.1002059},
abstract = {Author Summary
Many biological systems have been described as networks whose complex properties influence the behaviour of the system. Correlations of activity in such networks are of interest in a variety of fields, from gene-regulatory networks to neuroscience. Due to novel experimental techniques allowing the recording of the activity of many pairs of neurons and their importance with respect to the functional interpretation of spike data, spike train correlations in neural networks have recently attracted a considerable amount of attention. Although origin and function of these correlations is not known in detail, they are believed to have a fundamental influence on information processing and learning. We present a detailed explanation of how recurrent connectivity induces correlations in local neural networks and how structural features affect their size and distribution. We examine under which conditions network characteristics like distance dependent connectivity, hubs or patches markedly influence correlations and population signals.},
number = {5},
journaltitle = {PLoS Comput Biol},
shortjournal = {PLoS Comput Biol},
urldate = {2014-01-23},
date = {2011-05-19},
pages = {e1002059},
author = {Pernice, Volker and Staude, Benjamin and Cardanobile, Stefano and Rotter, Stefan},
file = {/home/fh/lib/articles/Pernice2011.pdf}
}
@book{Bang-Jensen2002,
langid = {english},
title = {Digraphs},
isbn = {1-85233-611-0},
publisher = {{Springer}},
date = {2002-08-05},
author = {Bang-Jensen, Jorgen and Gutin, Gregory Z. and Gutin, Gregory},
file = {/home/fh/lib/books/Bang-Jensen2002_Digraphs.pdf}
}
@article{Roxin2011a,
title = {The {{Role}} of {{Degree Distribution}} in {{Shaping}} the {{Dynamics}} in {{Networks}} of {{Sparsely Connected Spiking Neurons}}},
volume = {5},
issn = {1662-5188},
url = {http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3058136/},
doi = {10.3389/fncom.2011.00008},
abstract = {Neuronal network models often assume a fixed probability of connection between neurons. This assumption leads to random networks with binomial in-degree and out-degree distributions which are relatively narrow. Here I study the effect of broad degree distributions on network dynamics by interpolating between a binomial and a truncated power-law distribution for the in-degree and out-degree independently. This is done both for an inhibitory network (I network) as well as for the recurrent excitatory connections in a network of excitatory and inhibitory neurons (EI network). In both cases increasing the width of the in-degree distribution affects the global state of the network by driving transitions between asynchronous behavior and oscillations. This effect is reproduced in a simplified rate model which includes the heterogeneity in neuronal input due to the in-degree of cells. On the other hand, broadening the out-degree distribution is shown to increase the fraction of common inputs to pairs of neurons. This leads to increases in the amplitude of the cross-correlation (CC) of synaptic currents. In the case of the I network, despite strong oscillatory CCs in the currents, CCs of the membrane potential are low due to filtering and reset effects, leading to very weak CCs of the spike-count. In the asynchronous regime of the EI network, broadening the out-degree increases the amplitude of CCs in the recurrent excitatory currents, while CC of the total current is essentially unaffected as are pairwise spiking correlations. This is due to a dynamic balance between excitatory and inhibitory synaptic currents. In the oscillatory regime, changes in the out-degree can have a large effect on spiking correlations and even on the qualitative dynamical state of the network.},
journaltitle = {Frontiers in Computational Neuroscience},
shortjournal = {Front Comput Neurosci},
urldate = {2013-12-18},
date = {2011-03-08},
author = {Roxin, Alex},
file = {/home/fh/lib/articles/Roxin2011.pdf},
eprinttype = {pmid},
eprint = {21556129},
pmcid = {PMC3058136}
}
@book{Mardia2000a,
langid = {english},
location = {{Chichester; New York}},
title = {Directional Statistics},
isbn = {0-471-95333-4 978-0-471-95333-3},
publisher = {{J. Wiley}},
date = {2000},
author = {Mardia, K. V and Jupp, Peter E},
file = {/home/fh/lib/books/Mardia2000_Directional-statistics.pdf}
}
@article{Song2005,
title = {Highly {{Nonrandom Features}} of {{Synaptic Connectivity}} in {{Local Cortical Circuits}}},
volume = {3},
url = {http://dx.doi.org/10.1371/journal.pbio.0030068},
doi = {10.1371/journal.pbio.0030068},
abstract = {A dataset of hundreds of recordings in which four neurons were simultaneously monitored reveals clustered connectivity patterns among cortical neurons.},
number = {3},
journaltitle = {PLoS Biol},
shortjournal = {PLoS Biol},
urldate = {2013-12-18},
date = {2005-03-01},
pages = {e68},
keywords = {bidirs},
author = {Song, Sen and Sj{\"o}str{\"o}m, Per Jesper and Reigl, Markus and Nelson, Sacha and Chklovskii, Dmitri B},
file = {/home/fh/lib/articles/Song2005.pdf}
}
@online{zotero-null-14,
title = {Python, Extract File Name from Path, No Matter What the Os/Path Format},
url = {http://stackoverflow.com/questions/8384737/python-extract-file-name-from-path-no-matter-what-the-os-path-format},
abstract = {Which Python library can I use to extract file names from paths, no matter what the operating system or path format could be ?
For example, I'd like all of these paths to return me "c" :
a/b/c/
...},
urldate = {2014-05-11}
}
@article{Ko2011,
langid = {english},
title = {Functional Specificity of Local Synaptic Connections in Neocortical Networks},
volume = {473},
issn = {0028-0836},
url = {http://www.nature.com/nature/journal/v473/n7345/full/nature09880.html?WT.ec_id=NATURE-20110505},
doi = {10.1038/nature09880},
abstract = {Neuronal connectivity is fundamental to information processing in the brain. Therefore, understanding the mechanisms of sensory processing requires uncovering how connection patterns between neurons relate to their function. On a coarse scale, long-range projections can preferentially link cortical regions with similar responses to sensory stimuli. But on the local scale, where dendrites and axons overlap substantially, the functional specificity of connections remains unknown. Here we determine synaptic connectivity between nearby layer 2/3 pyramidal neurons in vitro, the response properties of which were first characterized in mouse visual cortex in vivo. We found that connection probability was related to the similarity of visually driven neuronal activity. Neurons with the same preference for oriented stimuli connected at twice the rate of neurons with orthogonal orientation preferences. Neurons responding similarly to naturalistic stimuli formed connections at much higher rates than those with uncorrelated responses. Bidirectional synaptic connections were found more frequently between neuronal pairs with strongly correlated visual responses. Our results reveal the degree of functional specificity of local synaptic connections in the visual cortex, and point to the existence of fine-scale subnetworks dedicated to processing related sensory information.},
number = {7345},
journaltitle = {Nature},
shortjournal = {Nature},
urldate = {2014-05-23},
date = {2011-05-05},
pages = {87--91},
keywords = {Neuroscience},
author = {Ko, Ho and Hofer, Sonja B. and Pichler, Bruno and Buchanan, Katherine A. and Sj{\"o}str{\"o}m, P. Jesper and Mrsic-Flogel, Thomas D.},
file = {/home/fh/lib/articles/Ko2011.pdf}
}
@article{Sporns2007,
title = {Brain Connectivity},
volume = {2},
issn = {1941-6016},
url = {http://www.scholarpedia.org/article/Brain_connectivity},
doi = {10.4249/scholarpedia.4695},
number = {10},
journaltitle = {Scholarpedia},
urldate = {2013-12-18},
date = {2007},
pages = {4695},
author = {Sporns, Olaf}
}
@article{Petersen2003,
langid = {english},
title = {Spatiotemporal {{Dynamics}} of {{Sensory Responses}} in {{Layer}} 2/3 of {{Rat Barrel Cortex Measured In Vivo}} by {{Voltage}}-{{Sensitive Dye Imaging Combined}} with {{Whole}}-{{Cell Voltage Recordings}} and {{Neuron Reconstructions}}},
volume = {23},
issn = {0270-6474, 1529-2401},
url = {http://www.jneurosci.org/content/23/4/1298},
abstract = {The spatiotemporal dynamics of the sensory response in layer 2/3 of primary somatosensory cortex evoked by a single brief whisker deflection was investigated by simultaneous voltage-sensitive dye (VSD) imaging and whole-cell (WC) voltage recordings in the anesthetized rat combined with reconstructions of dendritic and axonal arbors of L2/3 pyramids. Single and dual WC recordings from pyramidal cells indicated a strong correlation between the local VSD population response and the simultaneously measured subthreshold postsynaptic potential changes in both amplitude and time course. The earliest VSD response was detected 10\textendash{}12 msec after whisker deflection centered above the barrel isomorphic to the stimulated principal whisker. It was restricted horizontally to the size of a single barrel-column coextensive with the dendritic arbor of barrel-column-related pyramids in L2/3. The horizontal spread of excitation remained confined to a single barrel-column with weak whisker deflection. With intermediate deflections, excitation spread into adjacent barrel-columns, propagating twofold more rapidly along the rows of the barrel field than across the arcs, consistent with the preferred axonal arborizations in L2/3 of reconstructed pyramidal neurons. Finally, larger whisker deflections evoked excitation spreading over the entire barrel field within $\sim$50 msec before subsiding over the next $\sim$250 msec. Thus the subthreshold cortical map representing a whisker deflection is dynamic on the millisecond time scale and strongly depends on stimulus strength. The sequential spatiotemporal activation of the excitatory neuronal network in L2/3 by a simple sensory stimulus can thus be accounted for primarily by the columnar restriction of L4 to L2/3 excitatory connections and the axonal field of barrel-related pyramids.},
number = {4},
journaltitle = {The Journal of Neuroscience},
shortjournal = {J. Neurosci.},
urldate = {2014-03-09},
date = {2003-02-15},
pages = {1298--1309},
keywords = {barrel cortex,imaging,in vivo,layer 2/3,sensory response,voltage-sensitive dye},
author = {Petersen, Carl C. H. and Grinvald, Amiram and Sakmann, Bert},
file = {/home/fh/lib/articles/Petersen2003.pdf},
eprinttype = {pmid},
eprint = {12598618}
}
@article{Perin2011,
langid = {english},
title = {A Synaptic Organizing Principle for Cortical Neuronal Groups},
volume = {108},
issn = {0027-8424, 1091-6490},
url = {http://www.pnas.org/content/108/13/5419},
doi = {10.1073/pnas.1016051108},
abstract = {Neuronal circuitry is often considered a clean slate that can be dynamically and arbitrarily molded by experience. However, when we investigated synaptic connectivity in groups of pyramidal neurons in the neocortex, we found that both connectivity and synaptic weights were surprisingly predictable. Synaptic weights follow very closely the number of connections in a group of neurons, saturating after only 20\% of possible connections are formed between neurons in a group. When we examined the network topology of connectivity between neurons, we found that the neurons cluster into small world networks that are not scale-free, with less than 2 degrees of separation. We found a simple clustering rule where connectivity is directly proportional to the number of common neighbors, which accounts for these small world networks and accurately predicts the connection probability between any two neurons. This pyramidal neuron network clusters into multiple groups of a few dozen neurons each. The neurons composing each group are surprisingly distributed, typically more than 100 $\mu$m apart, allowing for multiple groups to be interlaced in the same space. In summary, we discovered a synaptic organizing principle that groups neurons in a manner that is common across animals and hence, independent of individual experiences. We speculate that these elementary neuronal groups are prescribed Lego-like building blocks of perception and that acquired memory relies more on combining these elementary assemblies into higher-order constructs.},
number = {13},
journaltitle = {Proceedings of the National Academy of Sciences},
shortjournal = {PNAS},
urldate = {2013-12-18},
date = {2011-03-29},
pages = {5419--5424},
keywords = {Edelman,Hebb,brain development,cell assemblies,learning,bidirs},
author = {Perin, Rodrigo and Berger, Thomas K. and Markram, Henry},
file = {/home/fh/lib/articles/Perin2011_commentary.pdf;/home/fh/lib/articles/Perin2011_SI.pdf;/home/fh/lib/articles/Perin2011.pdf},
eprinttype = {pmid},
eprint = {21383177}
}
@article{Sporns2004,
title = {Motifs in {{Brain Networks}}},
volume = {2},
url = {http://dx.doi.org/10.1371/journal.pbio.0020369},
doi = {10.1371/journal.pbio.0020369},
abstract = {Analysis of characteristic patterns of connectivity in neuroanatomical datasets suggests that nervous systems evolved to maximize functional repertoires and support highly efficient integration of information.},
number = {11},
journaltitle = {PLoS Biol},
shortjournal = {PLoS Biol},
urldate = {2013-12-18},
date = {2004-10-26},
pages = {e369},
author = {Sporns, Olaf and K{\"o}tter, Rolf},
file = {/home/fh/lib/articles/Sporns2004.pdf}
}
@article{Watt2010,
title = {Homeostatic {{Plasticity}} and {{STDP}}: {{Keeping}} a {{Neuron}}'s {{Cool}} in a {{Fluctuating World}}},
volume = {2},
issn = {1663-3563},
url = {http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3059670/},
doi = {10.3389/fnsyn.2010.00005},
shorttitle = {Homeostatic {{Plasticity}} and {{STDP}}},
abstract = {Spike-timing-dependent plasticity (STDP) offers a powerful means of forming and modifying neural circuits. Experimental and theoretical studies have demonstrated its potential usefulness for functions as varied as cortical map development, sharpening of sensory receptive fields, working memory, and associative learning. Even so, it is unlikely that STDP works alone. Unless changes in synaptic strength are coordinated across multiple synapses and with other neuronal properties, it is difficult to maintain the stability and functionality of neural circuits. Moreover, there are certain features of early postnatal development (e.g., rapid changes in sensory input) that threaten neural circuit stability in ways that STDP may not be well placed to counter. These considerations have led researchers to investigate additional types of plasticity, complementary to STDP, that may serve to constrain synaptic weights and/or neuronal firing. These are collectively known as ``homeostatic plasticity'' and include schemes that control the total synaptic strength of a neuron, that modulate its intrinsic excitability as a function of average activity, or that make the ability of synapses to undergo Hebbian modification depend upon their history of use. In this article, we will review the experimental evidence for homeostatic forms of plasticity and consider how they might interact with STDP during development, and learning and memory.},
journaltitle = {Frontiers in Synaptic Neuroscience},
shortjournal = {Front Synaptic Neurosci},
urldate = {2014-02-20},
date = {2010-06-07},
author = {Watt, Alanna J. and Desai, Niraj S.},
file = {/home/fh/lib/articles/Watt2010.pdf},
eprinttype = {pmid},
eprint = {21423491},
pmcid = {PMC3059670}
}
@book{Batschelet1981,
langid = {english},
location = {{London; New York}},
title = {Circular Statistics in Biology},
isbn = {0-12-081050-6 978-0-12-081050-5},
publisher = {{Academic Press}},
date = {1981},
author = {Batschelet, Edward}
}
@article{Zalesky2012,
title = {On the Use of Correlation as a Measure of Network Connectivity},
volume = {60},
issn = {1053-8119},
url = {http://www.sciencedirect.com/science/article/pii/S1053811912001784},
doi = {10.1016/j.neuroimage.2012.02.001},
abstract = {Numerous studies have demonstrated that brain networks derived from neuroimaging data have nontrivial topological features, such as small-world organization, modular structure and highly connected hubs. In these studies, the extent of connectivity between pairs of brain regions has often been measured using some form of statistical correlation. This article demonstrates that correlation as a measure of connectivity in and of itself gives rise to networks with non-random topological features. In particular, networks in which connectivity is measured using correlation are inherently more clustered than random networks, and as such are more likely to be small-world networks. Partial correlation as a measure of connectivity also gives rise to networks with non-random topological features. Partial correlation networks are inherently less clustered than random networks. Network measures in correlation networks should be benchmarked against null networks that respect the topological structure induced by correlation measurements. Prevalently used random rewiring algorithms do not yield appropriate null networks for some network measures. Null networks are proposed to explicitly normalize for the inherent topological structure found in correlation networks, resulting in more conservative estimates of small-world organization. A number of steps may be needed to normalize each network measure individually and control for distinct features (e.g. degree distribution). The main conclusion of this article is that correlation can and should be used to measure connectivity, however appropriate null networks should be used to benchmark network measures in correlation networks.},
number = {4},
journaltitle = {NeuroImage},
shortjournal = {NeuroImage},
urldate = {2014-02-03},
date = {2012-05-01},
pages = {2096--2106},
keywords = {Brain connectivity,Connectome,Correlation,Partial correlation,Small-world network,Transitivity},
author = {Zalesky, Andrew and Fornito, Alex and Bullmore, Ed},
file = {/home/fh/lib/articles/Zalesky2012.pdf}
}
@article{Zhao2011,
title = {Synchronization from {{Second Order Network Connectivity Statistics}}},
volume = {5},
issn = {1662-5188},
url = {http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3134837/},
doi = {10.3389/fncom.2011.00028},
abstract = {We investigate how network structure can influence the tendency for a neuronal network to synchronize, or its synchronizability, independent of the dynamical model for each neuron. The synchrony analysis takes advantage of the framework of second order networks, which defines four second order connectivity statistics based on the relative frequency of two-connection network motifs. The analysis identifies two of these statistics, convergent connections, and chain connections, as highly influencing the synchrony. Simulations verify that synchrony decreases with the frequency of convergent connections and increases with the frequency of chain connections. These trends persist with simulations of multiple models for the neuron dynamics and for different types of networks. Surprisingly, divergent connections, which determine the fraction of shared inputs, do not strongly influence the synchrony. The critical role of chains, rather than divergent connections, in influencing synchrony can be explained by their increasing the effective coupling strength. The decrease of synchrony with convergent connections is primarily due to the resulting heterogeneity in firing rates.},
journaltitle = {Frontiers in Computational Neuroscience},
shortjournal = {Front Comput Neurosci},
urldate = {2013-12-18},
date = {2011-07-08},
author = {Zhao, Liqiong and Beverlin, Bryce and Netoff, Theoden and Nykamp, Duane Q.},
file = {/home/fh/lib/articles/Zhao2011.pdf},
eprinttype = {pmid},
eprint = {21779239},
pmcid = {PMC3134837}
}
@article{Kriener2009,
langid = {english},
title = {Correlations in Spiking Neuronal Networks with Distance Dependent Connections},
volume = {27},
issn = {0929-5313, 1573-6873},
url = {http://link.springer.com/article/10.1007/s10827-008-0135-1},
doi = {10.1007/s10827-008-0135-1},
abstract = {Can the topology of a recurrent spiking network be inferred from observed activity dynamics? Which statistical parameters of network connectivity can be extracted from firing rates, correlations and related measurable quantities? To approach these questions, we analyze distance dependent correlations of the activity in small-world networks of neurons with current-based synapses derived from a simple ring topology. We find that in particular the distribution of correlation coefficients of subthreshold activity can tell apart random networks from networks with distance dependent connectivity. Such distributions can be estimated by sampling from random pairs. We also demonstrate the crucial role of the weight distribution, most notably the compliance with Dales principle, for the activity dynamics in recurrent networks of different types.},
number = {2},
journaltitle = {Journal of Computational Neuroscience},
shortjournal = {J Comput Neurosci},
urldate = {2014-01-21},
date = {2009-10-01},
pages = {177--200},
keywords = {Distribution of correlation coefficients,Human Genetics,Neurology,Neurosciences,Pairwise correlations,Small-world networks,Spiking neural networks,Theory of Computation},
author = {Kriener, Birgit and Helias, Moritz and Aertsen, Ad and Rotter, Stefan},
file = {/home/fh/lib/articles/Kriener2009.pdf}
}
@article{Weckstrom2010,
title = {Intracellular Recording},
volume = {5},
issn = {1941-6016},
url = {http://www.scholarpedia.org/article/Intracellular_recording},
doi = {10.4249/scholarpedia.2224},
number = {8},
journaltitle = {Scholarpedia},
urldate = {2013-12-18},
date = {2010},
pages = {2224},
author = {Weckstrom, Matti}
}
@book{Janson2000a,
langid = {english},
location = {{New York; Chichester}},
title = {Theory of Random Graphs},
isbn = {0-471-17541-2 978-0-471-17541-4},
publisher = {{John Wiley \& Sons}},
date = {2000},
author = {Janson, Svante and {\L}uczak, Tomasz and Ruci{\'n}ski, Andrzej}
}
@book{Peters1984,
langid = {english},
location = {{New York}},
title = {Cerebral Cortex},
isbn = {0-306-41544-5 978-0-306-41544-9 0-306-43635-3 978-0-306-43635-2 0-306-45727-X 978-0-306-45727-2 0-306-44605-7 978-0-306-44605-4 0-306-45530-7 978-0-306-45530-8},
publisher = {{Plenum Press}},
date = {1984},
author = {Peters, Alan and Jones, Edward G}
}
@article{Dong2007,
title = {Random Graph Theory Based Connectivity Analysis in Wireless Sensor Networks with {{Rayleigh}} Fading Channels},
doi = {10.1109/APCC.2007.4433515},
abstract = {Connectivity is an essential merit of wireless sensor networks. There has been great interest in exploring the minimum density of sensor nodes that is needed to achieve a connected wireless network. This becomes difficult when uncertain features increase, such as Rayleigh fading channels. In this paper, we describe a range-dependent model for sensor networks by using random graph theory, and study the connectivity problem with this model. We calculate the probability of an arbitrary node being isolated, and thus obtain the probability of the whole network being connected. By giving the required minimum density, our work can guide in designing of the wireless sensor networks with fading channels. Moreover, the numerical results shows that the fading effect would degrade the connectivity of the wireless sensor networks.},
journaltitle = {Asia-Pacific Conference on Communications, 2007. APCC 2007},
date = {2007},
pages = {123--126},
keywords = {Degradation,Fading,Lattices,Mobile communication,Monitoring,Probability,Rayleigh channels,Rayleigh fading channels,Sensor phenomena and characterization,Shadow mapping,arbitrary node probability,graph theory,random graph theory,range-dependent model,sensor nodes,wireless sensor networks},
author = {Dong, Jingbo and Chen, Qing and Niu, Zhisheng},
file = {/home/fh/lib/articles/Dong2007.pdf}
}
@book{Braitenberg1998,
langid = {english},
location = {{Berlin; New York}},
title = {Cortex: Statistics and Geometry of Neuronal Connectivity},
edition = {2nd edition},
isbn = {3-540-63816-4 978-3-540-63816-2},
shorttitle = {Cortex},
publisher = {{Springer}},
date = {1998},
author = {Braitenberg, Valentino and Sch{\"u}z, A and Braitenberg, Valentino},
file = {/home/fh/lib/books/Braitenberg1998_Cortex-statistics-and-geometry-of-neuronal-connectivity.pdf}
}
@book{Brette2012,
langid = {english},
location = {{Cambridge}},
title = {Handbook of Neural Activity Measurement},
isbn = {978-1-139-54906-6 1-139-54906-5 1-139-55156-6 978-1-139-55156-4 978-0-511-97995-8 0-511-97995-9 1-139-55402-6 978-1-139-55402-2},
abstract = {"Neuroscientists employ many different techniques to observe the activity of the brain, from single-channel recording to functional imaging (fMRI). Many practical books explain how to use these techniques, but in order to extract meaningful information from the results it is necessary to understand the physical and mathematical principles underlying each measurement. This book covers an exhaustive range of techniques, with each chapter focusing on one in particular. Each author, a leading expert, explains exactly which quantity is being measured, the underlying principles at work, and most importantly the precise relationship between the signals measured and neural activity. The book is an important reference for neuroscientists who use these techniques in their own experimental protocols and need to interpret their results precisely; for computational neuroscientists who use such experimental results in their models; and for scientists who want to develop new measurement techniques or enhance existing ones"--Provided by publisher.},
publisher = {{Cambridge University Press}},
date = {2012},
author = {Brette, Romain and Destexhe, Alain},
file = {/home/fh/lib/books/Brette2012_Handbook-of-neural-activity-measurement.pdf}
}
@book{Burgi2008,
langid = {english},
title = {Structure {{Correlation}}},
isbn = {978-3-527-61608-4},
abstract = {This book leaves the conventional view of chemical structures far behind: it demonstrates how a wealth of valuable, but hitherto unused information can be extracted from available structural data. For example, a single structure determination does not reveal much about a reaction pathway, but a sufficiently large number of comparable structures does. Finding the 'right' question is as important as is the intelligent use of crystallographic databases.Contributions by F.H. Allen, T.L. Blundell, I.D. Brown, H.B. B{\"u}rgi, J.D. Dunitz, L. Leiserowitz and others, authoritatively discuss the structure correlation method as well as illustrative results in detail, covering such apparently unrelated subjects as * Bond strength relations in soldis* Crystal structure prediction* Reaction pathways of organic molecules* Ligand/receptor interactions and enzyme mechanismsThis book will be useful to the academic and industrial reader alike. It offers both fundamental aspects and diverse applications of what will surely become a powerful branch of structural chemistry.},
pagetotal = {922},
publisher = {{John Wiley \& Sons}},
date = {2008-07-11},
keywords = {Science / Chemistry / Physical & Theoretical},
author = {B{\"u}rgi, Hans-Beat and Dunitz, Jack D.}
}
@article{Rickert2009,
langid = {english},
title = {Dynamic {{Encoding}} of {{Movement Direction}} in {{Motor Cortical Neurons}}},
volume = {29},
issn = {0270-6474, 1529-2401},
url = {http://www.jneurosci.org/content/29/44/13870},
doi = {10.1523/JNEUROSCI.5441-08.2009},
abstract = {When we perform a skilled movement such as reaching for an object, we can make use of prior information, for example about the location of the object in space. This helps us to prepare the movement, and we gain improved accuracy and speed during movement execution. Here, we investigate how prior information affects the motor cortical representation of movements during preparation and execution. We trained two monkeys in a delayed reaching task and provided a varying degree of prior information about the final target location. We decoded movement direction from multiple single-unit activity recorded from M1 (primary motor cortex) in one monkey and from PMd (dorsal premotor cortex) in a second monkey. Our results demonstrate that motor cortical cells in both areas exhibit individual encoding characteristics that change dynamically in time and dependent on prior information. On the population level, the information about movement direction is at any point in time accurately represented in a neuronal ensemble of time-varying composition. We conclude that movement representation in the motor cortex is not a static one, but one in which neurons dynamically allocate their computational resources to meet the demands defined by the movement task and the context of the movement. Consequently, we find that the decoding accuracy decreases if the precise task time, or the previous information that was available to the monkey, were disregarded in the decoding process. An optimal strategy for the readout of movement parameters from motor cortex should therefore take into account time and contextual parameters.},
number = {44},
journaltitle = {The Journal of Neuroscience},
shortjournal = {J. Neurosci.},
urldate = {2013-12-18},
date = {2009-04-11},
pages = {13870--13882},
author = {Rickert, J{\"o}rn and Riehle, Alexa and Aertsen, Ad and Rotter, Stefan and Nawrot, Martin P.},
file = {/home/fh/lib/articles/Rickert2009.pdf},
eprinttype = {pmid},
eprint = {19889998}
}
@book{Fisher1995,
langid = {english},
location = {{Cambridge [u.a.}},
title = {Statistical Analysis of Circular Data},
isbn = {0-521-35018-2 978-0-521-35018-1 0-521-56890-0 978-0-521-56890-6},
publisher = {{Univ. Press}},
date = {1995},
author = {Fisher, Nicholas I},
file = {/home/fh/lib/books/Fisher1995_Statistical-analysis-of-circular-data.pdf}
}
@article{Gilbert1959,
langid = {english},
title = {Random {{Graphs}}},
volume = {30},
issn = {0003-4851, 2168-8990},
url = {http://projecteuclid.org/euclid.aoms/1177706098},
doi = {10.1214/aoms/1177706098},
abstract = {Project Euclid - mathematics and statistics online},
number = {4},
journaltitle = {The Annals of Mathematical Statistics},
shortjournal = {Ann. Math. Statist.},
urldate = {2014-01-23},
date = {1959-12},
pages = {1141--1144},
author = {Gilbert, E. N.},
file = {/home/fh/lib/articles/Gilbert1959.pdf},
note = {Mathematical Reviews number (MathSciNet) MR108839, Zentralblatt MATH identifier0168.40801}
}
@article{Costa2013,
title = {Probabilistic Inference of Short-Term Synaptic Plasticity in Neocortical Microcircuits},
volume = {7},
issn = {1662-5188},
url = {http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3674479/},
doi = {10.3389/fncom.2013.00075},
abstract = {Short-term synaptic plasticity is highly diverse across brain area, cortical layer, cell type, and developmental stage. Since short-term plasticity (STP) strongly shapes neural dynamics, this diversity suggests a specific and essential role in neural information processing. Therefore, a correct characterization of short-term synaptic plasticity is an important step towards understanding and modeling neural systems. Phenomenological models have been developed, but they are usually fitted to experimental data using least-mean-square methods. We demonstrate that for typical synaptic dynamics such fitting may give unreliable results. As a solution, we introduce a Bayesian formulation, which yields the posterior distribution over the model parameters given the data. First, we show that common STP protocols yield broad distributions over some model parameters. Using our result we propose a experimental protocol to more accurately determine synaptic dynamics parameters. Next, we infer the model parameters using experimental data from three different neocortical excitatory connection types. This reveals connection-specific distributions, which we use to classify synaptic dynamics. Our approach to demarcate connection-specific synaptic dynamics is an important improvement on the state of the art and reveals novel features from existing data.},
journaltitle = {Frontiers in Computational Neuroscience},
shortjournal = {Front Comput Neurosci},
urldate = {2014-11-04},
date = {2013-06-06},
author = {Costa, Rui P. and Sjostrom, P. Jesper and van Rossum, Mark C. W.},
options = {useprefix=true},
file = {/home/fh/lib/articles/Costa2013.pdf},
eprinttype = {pmid},
eprint = {23761760},
pmcid = {PMC3674479}
}
@article{Clopath2010,
langid = {english},
title = {Connectivity Reflects Coding: A Model of Voltage-Based {{STDP}} with Homeostasis},
volume = {13},
issn = {1097-6256},
url = {http://www.nature.com/neuro/journal/v13/n3/full/nn.2479.html#/supplementary-information},
doi = {10.1038/nn.2479},
shorttitle = {Connectivity Reflects Coding},
abstract = {Electrophysiological connectivity patterns in cortex often have a few strong connections, which are sometimes bidirectional, among a lot of weak connections. To explain these connectivity patterns, we created a model of spike timing\textendash{}dependent plasticity (STDP) in which synaptic changes depend on presynaptic spike arrival and the postsynaptic membrane potential, filtered with two different time constants. Our model describes several nonlinear effects that are observed in STDP experiments, as well as the voltage dependence of plasticity. We found that, in a simulated recurrent network of spiking neurons, our plasticity rule led not only to development of localized receptive fields but also to connectivity patterns that reflect the neural code. For temporal coding procedures with spatio-temporal input correlations, strong connections were predominantly unidirectional, whereas they were bidirectional under rate-coded input with spatial correlations only. Thus, variable connectivity patterns in the brain could reflect different coding principles across brain areas; moreover, our simulations suggested that plasticity is fast.},
number = {3},
journaltitle = {Nature Neuroscience},
shortjournal = {Nat Neurosci},
urldate = {2014-09-30},
date = {2010-03},
pages = {344--352},
keywords = {STDP},
author = {Clopath, Claudia and B{\"u}sing, Lars and Vasilaki, Eleni and Gerstner, Wulfram},
file = {/home/fh/lib/articles/Clopath2010.pdf}
}
@book{Bear2006,
langid = {english},
location = {{Philadelphia, PA}},
title = {Neuroscience: {{Exploring}} the {{Brain}}, 3rd {{Edition}}},
edition = {3rd edition},
isbn = {978-0-7817-6003-4},
shorttitle = {Neuroscience},
abstract = {Widely praised for its student-friendly style and exceptional artwork and pedagogy, Neuroscience: Exploring the Brain is a leading undergraduate textbook on the biology of the brain and the systems that underlie behavior. This edition provides increased coverage of taste and smell, circadian rhythms, brain development, and developmental disorders and includes new information on molecular mechanisms and functional brain imaging. Path of Discovery boxes, written by leading researchers, highlight major current discoveries. In addition, readers will be able to assess their knowledge of neuroanatomy with the Illustrated Guide to Human Neuroanatomy, which includes a perforated self-testing workbook.This edition's robust ancillary package includes a bound-in student CD-ROM, an Instructor's Resource CD-ROM, and resources online.},
pagetotal = {928},
publisher = {{Lippincott Williams and Wilkins}},
date = {2006-02-07},
author = {Bear, Mark F. and Connors, Barry W. and Paradiso, Michael A.},
file = {/home/fh/lib/books/Bear2006_Neuroscience-Exploring-the-Brain,-3rd-Edition.pdf}
}
@article{Bi1998,
langid = {english},
title = {Synaptic {{Modifications}} in {{Cultured Hippocampal Neurons}}: {{Dependence}} on {{Spike Timing}}, {{Synaptic Strength}}, and {{Postsynaptic Cell Type}}},
volume = {18},
issn = {0270-6474, 1529-2401},
url = {http://www.jneurosci.org/content/18/24/10464},
shorttitle = {Synaptic {{Modifications}} in {{Cultured Hippocampal Neurons}}},
abstract = {In cultures of dissociated rat hippocampal neurons, persistent potentiation and depression of glutamatergic synapses were induced by correlated spiking of presynaptic and postsynaptic neurons. The relative timing between the presynaptic and postsynaptic spiking determined the direction and the extent of synaptic changes. Repetitive postsynaptic spiking within a time window of 20 msec after presynaptic activation resulted in long-term potentiation (LTP), whereas postsynaptic spiking within a window of 20 msec before the repetitive presynaptic activation led to long-term depression (LTD). Significant LTP occurred only at synapses with relatively low initial strength, whereas the extent of LTD did not show obvious dependence on the initial synaptic strength. Both LTP and LTD depended on the activation of NMDA receptors and were absent in cases in which the postsynaptic neurons were GABAergic in nature. Blockade of L-type calcium channels with nimodipine abolished the induction of LTD and reduced the extent of LTP. These results underscore the importance of precise spike timing, synaptic strength, and postsynaptic cell type in the activity-induced modification of central synapses and suggest that Hebb's rule may need to incorporate a quantitative consideration of spike timing that reflects the narrow and asymmetric window for the induction of synaptic modification.},
number = {24},
journaltitle = {The Journal of Neuroscience},
shortjournal = {J. Neurosci.},
urldate = {2014-10-06},
date = {1998-12-15},
pages = {10464--10472},
keywords = {Hebbian,Hebb’s rule,LTD,LTP,cell culture,correlated-activity,hippocampal neurons,plasticity,spike timing,spiking,synaptic modification,target specificity},
author = {Bi, Guo-qiang and Poo, Mu-ming},
file = {/home/fh/lib/articles/Bi1998.pdf},
eprinttype = {pmid},
eprint = {9852584}
}
@collection{Kandel2012,
langid = {english},
location = {{New York}},
title = {Principles of {{Neural Science}}, {{Fifth Edition}}},
edition = {5th edition},
isbn = {978-0-07-139011-8},
abstract = {Now updated: the definitive neuroscience resource\textemdash{}from Eric R. Kandel, MD (winner of the Nobel Prize in 2000); James H. Schwartz, MD, PhD; Thomas M. Jessell, PhD; Steven A. Siegelbaum, PhD; and A. J. Hudspeth, PhD 900 full-color illustrations Deciphering the link between the human brain and behavior has always been one of the most intriguing\textemdash{}and often challenging\textemdash{}aspects of scientific endeavor. The sequencing of the human genome, and advances in molecular biology, have illuminated the pathogenesis of many neurological diseases and have propelled our knowledge of how the brain controls behavior. To grasp the wider implications of these developments and gain a fundamental understanding of this dynamic, fast-moving field, Principles of Neuroscience stands alone as the most authoritative and indispensible resource of its kind. In this classic text, prominent researchers in the field expertly survey the entire spectrum of neural science, giving an up-to-date, unparalleled view of the discipline for anyone who studies brain and mind. Here, in one remarkable volume, is the current state of neural science knowledge\textemdash{}ranging from molecules and cells, to anatomic structures and systems, to the senses and cognitive functions\textemdash{}all supported by more than 900 precise, full-color illustrations. In addition to clarifying complex topics, the book also benefits from a cohesive organization, beginning with an insightful overview of the interrelationships between the brain, nervous system, genes, and behavior. Principles of Neural Science then proceeds with an in-depth examination of the molecular and cellular biology of nerve cells, synaptic transmission, and the neural basis of cognition. The remaining sections illuminate how cells, molecules, and systems give us sight, hearing, touch, movement, thought, learning, memories, and emotions. The new fifth edition of Principles of Neural Science is thoroughly updated to reflect the tremendous amount of research, and the very latest clinical perspectives, that have significantly transformed the field within the last decade. Ultimately, Principles of Neural Science affirms that all behavior is an expression of neural activity, and that the future of clinical neurology and psychiatry hinges on the progress of neural science. Far exceeding the scope and scholarship of similar texts, this unmatched guide offers a commanding, scientifically rigorous perspective on the molecular mechanisms of neural function and disease\textemdash{}one that you'll continually rely on to advance your comprehension of brain, mind, and behavior. FEATURES The cornerstone reference in the field of neuroscience that explains how the nerves, brain, and mind function Clear emphasis on how behavior can be examined through the electrical activity of both individual neurons and systems of nerve cells Current focus on molecular biology as a tool for probing the pathogenesis of many neurological diseases, including muscular dystrophy, Huntington disease, and certain forms of Alzheimer's disease More than 900 engaging full-color illustrations\textemdash{}including line drawings, radiographs, micrographs, and medical photographs clarify often-complex neuroscience concepts Outstanding section on the development and emergence of behavior, including important coverage of brain damage repair, the sexual differentiation of the nervous system, and the aging brain NEW! More detailed discussions of cognitive and behavioral functions, and an expanded review of cognitive processes NEW! A focus on the increasing importance of computational neural science, which enhances our ability to record the brain's electrical activity and study cognitive processes more directly NEW! Chapter-opening Key Concepts provide a convenient, study-enhancing introduction to the material covered in each chapter Selected Readings and full reference citations at the close of each chapter facilitate further study and research Helpful appendices highlight basic circuit theory; the neurological examination of the patient; circulation of the brain; the blood-brain barrier, choroid plexus, and cerebrospinal fluid; neural networks; and theoretical approaches to neuroscience/ul$>$},
pagetotal = {1760},
publisher = {{McGraw-Hill Professional}},
date = {2012-10-26},
editor = {Kandel, Eric R. and Schwartz, James H. and Jessell, Thomas M. and Siegelbaum, Steven A. and Hudspeth, A. J.},
file = {/home/fh/lib/books/Kandel2012_Principles-of-Neural-Science,-Fifth-Edition.epub;/home/fh/lib/books/Kandel2012_Principles-of-Neural-Science,-Fifth-Edition.pdf}
}
@article{Okun2008,
langid = {english},
title = {Instantaneous Correlation of Excitation and Inhibition during Ongoing and Sensory-Evoked Activities},
volume = {11},
issn = {1097-6256},
url = {http://www.nature.com/neuro/journal/v11/n5/abs/nn.2105.html},
doi = {10.1038/nn.2105},
abstract = {Temporal and quantitative relations between excitatory and inhibitory inputs in the cortex are central to its activity, yet they remain poorly understood. In particular, a controversy exists regarding the extent of correlation between cortical excitation and inhibition. Using simultaneous intracellular recordings in pairs of nearby neurons in vivo, we found that excitatory and inhibitory inputs are continuously synchronized and correlated in strength during spontaneous and sensory-evoked activities in the rat somatosensory cortex.},
number = {5},
journaltitle = {Nature Neuroscience},
shortjournal = {Nat Neurosci},
urldate = {2014-10-06},
date = {2008-05},
pages = {535--537},
author = {Okun, Michael and Lampl, Ilan},
file = {/home/fh/lib/articles/Okun2008.pdf}
}
@article{Sjostrom2001,
title = {Rate, {{Timing}}, and {{Cooperativity Jointly Determine Cortical Synaptic Plasticity}}},
volume = {32},
issn = {0896-6273},
url = {http://www.sciencedirect.com/science/article/pii/S0896627301005426},
doi = {10.1016/S0896-6273(01)00542-6},
abstract = {Cortical long-term plasticity depends on firing rate, spike timing, and cooperativity among inputs, but how these factors interact during realistic patterns of activity is unknown. Here we monitored plasticity while systematically varying the rate, spike timing, and number of coincident afferents. These experiments demonstrate a novel form of cooperativity operating even when postsynaptic firing is evoked by current injection, and reveal a complex dependence of LTP and LTD on rate and timing. Based on these data, we constructed and tested three quantitative models of cortical plasticity. One of these models, in which spike-timing relationships causing LTP ``win'' out over those favoring LTD, closely fits the data and accurately predicts the build-up of plasticity during random firing. This provides a quantitative framework for predicting the impact of in vivo firing patterns on synaptic strength.},
number = {6},
journaltitle = {Neuron},
shortjournal = {Neuron},
urldate = {2014-10-05},
date = {2001-12-20},
pages = {1149--1164},
author = {Sj{\"o}str{\"o}m, Per Jesper and Turrigiano, Gina G and Nelson, Sacha B},
file = {/home/fh/lib/articles/Sjöström2001.pdf;/home/fh/.mozilla/firefox/lbe84bnd.default/zotero/storage/BBEEGW2W/S0896627301005426.html}
}
@article{Bi2001,
title = {Synaptic Modification by Correlated Activity : {{Hebb}}'s {{Postulate}} Revisited},
volume = {24},
url = {http://dx.doi.org/10.1146/annurev.neuro.24.1.139},
doi = {10.1146/annurev.neuro.24.1.139},
shorttitle = {{{SYNAPTIC MODIFICATION BY CORRELATED ACTIVITY}}},
abstract = {Correlated spiking of pre- and postsynaptic neurons can result in strengthening or weakening of synapses, depending on the temporal order of spiking. Recent findings indicate that there are narrow and cell type\textendash{}specific temporal windows for such synaptic modification and that the generally accepted input- (or synapse-) specific rule for modification appears not to be strictly adhered to. Spike timing\textendash{}dependent modifications, together with selective spread of synaptic changes, provide a set of cellular mechanisms that are likely to be important for the development and functioning of neural networks. When an axon of cell A is near enough to excite cell B or repeatedly or consistently takes part in firing it, some growth or metabolic change takes place in one or both cells such that A's efficiency, as one of the cells firing B, is increased. Donald Hebb (1949)},
number = {1},
journaltitle = {Annual Review of Neuroscience},
urldate = {2014-10-06},
date = {2001},
pages = {139--166},
keywords = {Hebbian synapse,LTD,LTP,input specificity,spike timing},
author = {Bi, Guo-qiang and Poo, Mu-ming},
file = {/home/fh/lib/articles/Bi2001.pdf},
eprinttype = {pmid},
eprint = {11283308}
}
@article{Kleindienst2011,
title = {Activity-{{Dependent Clustering}} of {{Functional Synaptic Inputs}} on {{Developing Hippocampal Dendrites}}},
volume = {72},
issn = {0896-6273},
url = {http://www.sciencedirect.com/science/article/pii/S0896627311009263},
doi = {10.1016/j.neuron.2011.10.015},
abstract = {Summary
During brain development, before sensory systems become functional, neuronal networks spontaneously generate repetitive bursts of neuronal activity, which are typically synchronized across many neurons. Such activity patterns have been described on the level of networks and cells, but the fine-structure of inputs received by an individual neuron during spontaneous network activity has not been studied. Here, we used calcium imaging to record activity at many synapses of hippocampal pyramidal neurons simultaneously to establish the activity patterns in the majority of synapses of an entire cell. Analysis of the spatiotemporal patterns of synaptic activity revealed a fine-scale connectivity rule: neighboring synapses (\<16~$\mu$m intersynapse distance) are more likely to be coactive than synapses that are farther away from each other. Blocking spiking activity or NMDA receptor activation revealed that the clustering of synaptic inputs required neuronal activity, demonstrating a role of developmentally expressed spontaneous activity for connecting neurons with subcellular precision.},
number = {6},
journaltitle = {Neuron},
shortjournal = {Neuron},
urldate = {2014-10-06},
date = {2011-12-22},
pages = {1012--1024},
author = {Kleindienst, Thomas and Winnubst, Johan and Roth-Alpermann, Claudia and Bonhoeffer, Tobias and Lohmann, Christian},
file = {/home/fh/lib/articles/Kleindienst2011.pdf}
}
@article{Memmesheimer2014,
title = {Learning {{Precisely Timed Spikes}}},
volume = {82},
issn = {0896-6273},
url = {http://www.sciencedirect.com/science/article/pii/S0896627314002566},
doi = {10.1016/j.neuron.2014.03.026},
abstract = {Summary
To signal the onset of salient sensory features or execute well-timed motor sequences, neuronal circuits must transform streams of incoming spike trains into precisely timed firing. To address the efficiency and fidelity with which neurons can perform such computations, we developed a theory to characterize the capacity of feedforward networks to generate desired spike sequences. We find the maximum number of desired output spikes a neuron can implement to be 0.1\textendash{}0.3 per synapse. We further present a biologically plausible learning rule that allows feedforward and recurrent networks to learn multiple mappings between inputs and desired spike sequences. We apply this framework to reconstruct synaptic weights from spiking activity and study the precision with which the temporal structure of ongoing behavior can be inferred from the spiking of premotor neurons. This work provides a powerful approach for characterizing the computational and learning capacities of single neurons and neuronal circuits.},
number = {4},
journaltitle = {Neuron},
shortjournal = {Neuron},
urldate = {2014-10-06},
date = {2014-05-21},
pages = {925--938},
author = {Memmesheimer, Raoul-Martin and Rubin, Ran and {\"O}lveczky, Bence P. and Sompolinsky, Haim},
file = {/home/fh/lib/articles/Memmesheimer2014.pdf}
}
@article{Froemke2007,
langid = {english},
title = {A Synaptic Memory Trace for Cortical Receptive Field Plasticity},
volume = {450},
issn = {0028-0836},
url = {http://www.nature.com/nature/journal/v450/n7168/abs/nature06289.html},
doi = {10.1038/nature06289},
abstract = {Receptive fields of sensory cortical neurons are plastic, changing in response to alterations of neural activity or sensory experience. In this way, cortical representations of the sensory environment can incorporate new information about the world, depending on the relevance or value of particular stimuli. Neuromodulation is required for cortical plasticity, but it is uncertain how subcortical neuromodulatory systems, such as the cholinergic nucleus basalis, interact with and refine cortical circuits. Here we determine the dynamics of synaptic receptive field plasticity in the adult primary auditory cortex (also known as AI) using in vivo whole-cell recording. Pairing sensory stimulation with nucleus basalis activation shifted the preferred stimuli of cortical neurons by inducing a rapid reduction of synaptic inhibition within seconds, which was followed by a large increase in excitation, both specific to the paired stimulus. Although nucleus basalis was stimulated only for a few minutes, reorganization of synaptic tuning curves progressed for hours thereafter: inhibition slowly increased in an activity-dependent manner to rebalance the persistent enhancement of excitation, leading to a retuned receptive field with new preference for the paired stimulus. This restricted period of disinhibition may be a fundamental mechanism for receptive field plasticity, and could serve as a memory trace for stimuli or episodes that have acquired new behavioural significance.},
number = {7168},
journaltitle = {Nature},
shortjournal = {Nature},
urldate = {2014-10-06},
date = {2007-11-15},
pages = {425--429},
author = {Froemke, Robert C. and Merzenich, Michael M. and Schreiner, Christoph E.},
file = {/home/fh/lib/articles/Froemke2007.pdf}
}
@article{Butz2013,
title = {A {{Simple Rule}} for {{Dendritic Spine}} and {{Axonal Bouton Formation Can Account}} for {{Cortical Reorganization}} after {{Focal Retinal Lesions}}},
volume = {9},
url = {http://dx.doi.org/10.1371/journal.pcbi.1003259},
doi = {10.1371/journal.pcbi.1003259},
abstract = {Author SummaryThe adult brain is less hard-wired than traditionally thought. About ten percent of synapses in the mature visual cortex is continually replaced by new ones (structural plasticity). This percentage greatly increases after lasting changes in visual input. Due to the topographically organized nerve connections from the retina in the eye to the primary visual cortex in the brain, a small circumscribed lesion in the retina leads to a defined area in the cortex that is deprived of input. Recent experimental studies have revealed that axonal sprouting and dendritic spine turnover are massively increased in and around the cortical area that is deprived of input. However, the driving forces for this structural plasticity remain unclear. Using a novel computational model, we examine whether the need for activity homeostasis of individual neurons may drive cortical reorganization after lasting changes in input activity. We show that homeostatic growth rules indeed give rise to structural and functional reorganization of neuronal networks similar to the cortical reorganization observed experimentally. Understanding the principles of structural plasticity may eventually lead to novel treatment strategies for stimulating functional reorganization after brain damage and neurodegeneration.},
number = {10},
journaltitle = {PLoS Comput Biol},
shortjournal = {PLoS Comput Biol},
urldate = {2014-10-05},
date = {2013-10-10},
pages = {e1003259},
author = {Butz, Markus and van Ooyen, Arjen},
options = {useprefix=true},
file = {/home/fh/lib/articles/Butz2013.pdf;/home/fh/.mozilla/firefox/lbe84bnd.default/zotero/storage/UIZ7AQAG/infodoi10.1371journal.pcbi.html}
}
@article{Kriener2008,
title = {Correlations and {{Population Dynamics}} in {{Cortical Networks}}},
volume = {20},
issn = {0899-7667},
url = {http://dx.doi.org/10.1162/neco.2008.02-07-474},
doi = {10.1162/neco.2008.02-07-474},
abstract = {The function of cortical networks depends on the collective interplay between neurons and neuronal populations, which is reflected in the correlation of signals that can be recorded at different levels. To correctly interpret these observations it is important to understand the origin of neuronal correlations. Here we study how cells in large recurrent networks of excitatory and inhibitory neurons interact and how the associated correlations affect stationary states of idle network activity. We demonstrate that the structure of the connectivity matrix of such networks induces considerable correlations between synaptic currents as well as between subthreshold membrane potentials, provided Dale's principle is respected. If, in contrast, synaptic weights are randomly distributed, input correlations can vanish, even for densely connected networks. Although correlations are strongly attenuated when proceeding from membrane potentials to action potentials (spikes), the resulting weak correlations in the spike output can cause substantial fluctuations in the population activity, even in highly diluted networks. We show that simple mean-field models that take the structure of the coupling matrix into account can adequately describe the power spectra of the population activity. The consequences of Dale's principle on correlations and rate fluctuations are discussed in the light of recent experimental findings.},
number = {9},
journaltitle = {Neural Computation},
shortjournal = {Neural Computation},
urldate = {2014-10-06},
date = {2008-04-25},
pages = {2185--2226},
author = {Kriener, Birgit and Tetzlaff, Tom and Aertsen, Ad and Diesmann, Markus and Rotter, Stefan},
file = {/home/fh/lib/articles/Kriener2008.pdf}
}
@article{Ko2013,
langid = {english},
title = {The Emergence of Functional Microcircuits in Visual Cortex},
volume = {496},
issn = {0028-0836},
url = {http://www.nature.com/nature/journal/v496/n7443/abs/nature12015.html},
doi = {10.1038/nature12015},
abstract = {Sensory processing occurs in neocortical microcircuits in which synaptic connectivity is highly structured and excitatory neurons form subnetworks that process related sensory information. However, the developmental mechanisms underlying the formation of functionally organized connectivity in cortical microcircuits remain unknown. Here we directly relate patterns of excitatory synaptic connectivity to visual response properties of neighbouring layer 2/3 pyramidal neurons in mouse visual cortex at different postnatal ages, using two-photon calcium imaging in vivo and multiple whole-cell recordings in vitro. Although neural responses were already highly selective for visual stimuli at eye opening, neurons responding to similar visual features were not yet preferentially connected, indicating that the emergence of feature selectivity does not depend on the precise arrangement of local synaptic connections. After eye opening, local connectivity reorganized extensively: more connections formed selectively between neurons with similar visual responses and connections were eliminated between visually unresponsive neurons, but the overall connectivity rate did not change. We propose a sequential model of cortical microcircuit development based on activity-dependent mechanisms of plasticity whereby neurons first acquire feature preference by selecting feedforward inputs before the onset of sensory experience\textemdash{}a process that may be facilitated by early electrical coupling between neuronal subsets\textemdash{}and then patterned input drives the formation of functional subnetworks through a redistribution of recurrent synaptic connections.},
number = {7443},
journaltitle = {Nature},
shortjournal = {Nature},
urldate = {2014-10-06},
date = {2013-04-04},
pages = {96--100},
keywords = {Cellular neuroscience,Striate cortex,Synaptic development},
author = {Ko, Ho and Cossell, Lee and Baragli, Chiara and Antolik, Jan and Clopath, Claudia and Hofer, Sonja B. and Mrsic-Flogel, Thomas D.},
file = {/home/fh/lib/articles/Ko2013.pdf}
}
@article{Pouget2013,
langid = {english},
title = {Probabilistic Brains: Knowns and Unknowns},
volume = {16},
issn = {1097-6256},
url = {http://www.nature.com/neuro/journal/v16/n9/full/nn.3495.html},
doi = {10.1038/nn.3495},
shorttitle = {Probabilistic Brains},
abstract = {There is strong behavioral and physiological evidence that the brain both represents probability distributions and performs probabilistic inference. Computational neuroscientists have started to shed light on how these probabilistic representations and computations might be implemented in neural circuits. One particularly appealing aspect of these theories is their generality: they can be used to model a wide range of tasks, from sensory processing to high-level cognition. To date, however, these theories have only been applied to very simple tasks. Here we discuss the challenges that will emerge as researchers start focusing their efforts on real-life computations, with a focus on probabilistic learning, structural learning and approximate inference.},
number = {9},
journaltitle = {Nature Neuroscience},
shortjournal = {Nat Neurosci},
urldate = {2014-10-05},
date = {2013-09},
pages = {1170--1178},
author = {Pouget, Alexandre and Beck, Jeffrey M. and Ma, Wei Ji and Latham, Peter E.},
file = {/home/fh/lib/articles/Pouget2013.pdf;/home/fh/.mozilla/firefox/lbe84bnd.default/zotero/storage/ZSZCM73F/nn.3495.html}
}
@article{Grabska-Barwinska2014,
langid = {english},
title = {How Well Do Mean Field Theories of Spiking Quadratic-Integrate-and-Fire Networks Work in Realistic Parameter Regimes?},
volume = {36},
issn = {0929-5313, 1573-6873},
url = {http://link.springer.com/article/10.1007/s10827-013-0481-5},
doi = {10.1007/s10827-013-0481-5},
abstract = {We use mean field techniques to compute the distribution of excitatory and inhibitory firing rates in large networks of randomly connected spiking quadratic integrate and fire neurons. These techniques are based on the assumption that activity is asynchronous and Poisson. For most parameter settings these assumptions are strongly violated; nevertheless, so long as the networks are not too synchronous, we find good agreement between mean field prediction and network simulations. Thus, much of the intuition developed for randomly connected networks in the asynchronous regime applies to mildly synchronous networks.},
number = {3},
journaltitle = {Journal of Computational Neuroscience},
shortjournal = {J Comput Neurosci},
urldate = {2014-10-05},
date = {2014-06-01},
pages = {469--481},
keywords = {Human Genetics,Neurology,Neurosciences,Theory of Computation,Mean field theory,Quadratic integrate and fire neuron,Random networks,Recurrent network,Synchronization,Theta neuron},
author = {Grabska-Barwi{\'n}ska, Agnieszka and Latham, Peter E.},
file = {/home/fh/lib/articles/Grabska-Barwińska2014.pdf;/home/fh/.mozilla/firefox/lbe84bnd.default/zotero/storage/EQ8GSMBH/10.html}
}
@book{Izhikevich2010,
langid = {english},
location = {{Cambridge, Mass.; London}},
title = {Dynamical {{Systems}} in {{Neuroscience}}: {{The Geometry}} of {{Excitability}} and {{Bursting}}},
isbn = {978-0-262-51420-0},
shorttitle = {Dynamical {{Systems}} in {{Neuroscience}}},
abstract = {In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want to learn the basic facts of electrophysiology. Dynamical Systems in Neuroscience presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons. It emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties. The book introduces dynamical systems, starting with one- and two-dimensional Hodgkin-Huxley-type models and continuing to a description of bursting systems. Each chapter proceeds from the simple to the complex, and provides sample problems at the end. The book explains all necessary mathematical concepts using geometrical intuition; it includes many figures and few equations, making it especially suitable for non-mathematicians. Each concept is presented in terms of both neuroscience and mathematics, providing a link between the two disciplines.Nonlinear dynamical systems theory is at the core of computational neuroscience research, but it is not a standard part of the graduate neuroscience curriculum -- or taught by math or physics department in a way that is suitable for students of biology. This book offers neuroscience students and researchers a comprehensive account of concepts and methods increasingly used in computational neuroscience.An additional chapter on synchronization, with more advanced material, can be found at the author's website, www.izhikevich.com.},
pagetotal = {464},
publisher = {{The MIT Press}},
date = {2010-01-22},
author = {Izhikevich, Eugene M.},
file = {/home/fh/lib/books/Izhikevich2010_Dynamical-Systems-in-Neuroscience-The-Geometry-of-Excitability-and-Bursting.pdf}
}
@article{Hilgetag2004,
langid = {english},
title = {Clustered Organization of Cortical Connectivity},
volume = {2},
issn = {1539-2791, 1559-0089},
url = {http://link.springer.com/article/10.1385/NI%3A2%3A3%3A353},
doi = {10.1385/NI:2:3:353},
abstract = {Long-range corticocortical connectivity in mammalian brains possesses an intricate, nonrandom organization. Specifically, projections are arranged in `small-world' networks, forming clusters of cortical areas, which are closely linked among each other, but less frequently with areas in other clusters. In order to delineate the structure of cortical clusters and identify their members, we developed a computational approach based on evolutionary optimization. In different compilations of connectivity data for the cat and macaque monkey brain, the algorithm identified a small number of clusters that broadly agreed with functional cortical subdivisions. We propose a simple spatial growth model for evolving clustered connectivity, and discuss structural and functional implications of the clustered, small-world organization of cortical networks.},
number = {3},
journaltitle = {Neuroinformatics},
shortjournal = {Neuroinform},
urldate = {2015-01-23},
date = {2004-09-01},
pages = {353--360},
keywords = {Neurology,Small-world networks,Biotechnology,Engineering; general,Rhesus macaque monkey,cat,cluster analysis,neural networks,cortical development,robustness,vulnerability,network function,scale-free networks,spatial growth},
author = {Hilgetag, Claus C. and Kaiser, Marcus},
file = {/home/fh/lib/articles/Hilgetag2004.pdf;/home/fh/.mozilla/firefox/lbe84bnd.default/zotero/storage/NNQ3KQ9C/NI23353.html}
}
@article{Stepanyants2005,
title = {Neurogeometry and Potential Synaptic Connectivity},
volume = {28},
issn = {0166-2236},
url = {http://www.sciencedirect.com/science/article/pii/S0166223605001311},
doi = {10.1016/j.tins.2005.05.006},
abstract = {The advent of high-quality 3D reconstructions of neuronal arbors has revived the hope of inferring synaptic connectivity from the geometric shapes of axons and dendrites, or `neurogeometry'. A quantitative description of connectivity must be built on a sound theoretical framework. Here, we review recent developments in neurogeometry that can provide such a framework. We base the geometric description of connectivity on the concept of a `potential synapse' \textendash{} the close apposition between axons and dendrites necessary to form an actual synapse. In addition to describing potential synaptic connectivity in neuronal circuits, neurogeometry provides insight into basic features of functional connectivity, such as specificity and plasticity.},
number = {7},
journaltitle = {Trends in Neurosciences},
shortjournal = {Trends in Neurosciences},
urldate = {2014-12-09},
date = {2005-07},
pages = {387--394},
author = {Stepanyants, Armen and Chklovskii, Dmitri B.},
file = {/home/fh/lib/articles/Stepanyants2005.pdf;/home/fh/.mozilla/firefox/lbe84bnd.default/zotero/storage/HPBWA3MW/S0166223605001311.html}
}
@misc{Hoffmann2014,
title = {Structural and Dynamical Aspects of Neural Networks with Anisotropic Tissue Geometry},
abstract = {Non-random connectivity has been repeatedly reported in cortical
networks, yet underlying connection principles of these patterns
remain elusive. Proposing an abstract geometric network model
reflecting stereotypical axonal and dendritic morphology of local
cortical layer 5 networks, we here investigate in how far anisotropy
in connectivity can constitute such an underlying connectivity
rule. Using a combination of analytical considerations and numerical
analysis, we find that while standard network measures and pair
connectivity remain unaffected, higher order connectivity is strongly
influenced by anisotropy, in many cases reflecting patterns found in
local cortical circuits. Presenting an abstract network model
featuring connectivity principles beyond distance-dependency, the
results shown here not only make a strong case for morphology-induced
rules as underlying connection principles of non-random patterns, but
may provide another step towards a network archetype greatly improving
upon the standard random model.},
date = {2014-06-17},
author = {Hoffmann, Felix},
file = {/home/fh/lib/documents/Hoffmann2014.pdf}
}
@book{Filo2010,
location = {{Hoboken, N.J}},
title = {Information Processing by Biochemical Systems: Neural Network-Type Configurations},
isbn = {978-0-470-50094-1},
shorttitle = {Information Processing by Biochemical Systems},
pagetotal = {148},
publisher = {{John Wiley \& Sons}},
date = {2010},
keywords = {Biocomputers,Neural networks (Computer science),Information technology,Automatic Data Processing,Biochemical Phenomena,Neural Networks (Computer)},
author = {Filo, Orna and Lotan, Noah},
file = {/home/fh/lib/books/Filo2010_Information-processing-by-biochemical-systems-neural-network-type-configurations.pdf}
}
@book{Abeles2011,
langid = {english},
location = {{S.l.}},
title = {Local {{Cortical Circuits}}: {{An Electrophysiological Study}}},
edition = {Softcover reprint of the original 1st ed. 1982 edition},
isbn = {978-3-642-81710-6},
shorttitle = {Local {{Cortical Circuits}}},
abstract = {Neurophysiologists are often accused by colleagues in the physical sci$\-$ ences of designing experiments without any underlying hypothesis. This impression is attributable to the ease of getting lost in the ever-increasing sea of professional publications which do not state explicitly the ultimate goal of the research. On the other hand, many of the explicit models for brain function in the past were so far removed from experimental reality that they had very little impact on further research. It seems that one needs much intimate experience with the real nerv-. ous system before a reasonable model can be suggested. It would have been impossible for Copernicus to suggest his model of the solar system without the detailed observations and tabulations of star and planet motion accu$\-$ mulated by the preceeding generations. This need for intimate experience with the nervous system before daring to put forward some hypothesis about its mechanism of action is especially apparent when theorizing about cerebral cortex function. There is widespread agreement that processing of information in the cor$\-$ tex is associated with complex spatio-temporal patterns of activity. Yet the vast majority of experimental work is based on single neuron recordings or on recordings made with gross electrodes to which tens of thousands of neurons contribute in an unknown fashion. Although these experiments have taught us a great deal about the organization and function of the cor$\-$ tex, they have not enabled us to examine the spatio-temporal organization of neuronal activity in any detail.},
pagetotal = {116},
publisher = {{Springer}},
date = {2011-12-30},
author = {Abeles, Moshe},
file = {/home/fh/lib/books/Abeles2011_Local-Cortical-Circuits-An-Electrophysiological-Study.pdf}
}
@book{Ross2009,
langid = {english},
location = {{Upper Saddle River, N.J}},
title = {A {{First Course}} in {{Probability}}},
edition = {8th edition},
isbn = {978-0-13-603313-4},
abstract = {A First Course in Probability, Eighth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.},
pagetotal = {552},
publisher = {{Pearson Prentice Hall}},
date = {2009-01-07},
author = {Ross, Sheldon},
file = {/home/fh/lib/books/Ross2009_A-First-Course-in-Probability.pdf}
}
@collection{Feldmeyer2010,
langid = {english},
location = {{New York ; London}},
title = {New {{Aspects}} of {{Axonal Structure}} and {{Function}}},
edition = {2010 edition},
isbn = {978-1-4419-1675-4},
abstract = {Axons are neuronal output elements and are responsible for the transfer and processing of signals from one neuron to another, even over very large distances. For a given neuronal cell type, axons are unique and display very heterogeneous patterns with respect to shape, length and target structure. Axons are the usually long process of a nerve fiber that generally conducts impulses away from the body of the nerve cell. This book is intended to summarize recent findings covering morphological, physiological, developmental, computational and pathophysiological aspects of axons. It attempts to cover new findings concerning axonal structure and functions together with their implications for signal transduction, processes implicated in the formation of axonal arbors and the transport of subcellular elements to their targets, and finally how a dysfunction in one or several of these steps could lead to axonal degeneration and ultimately to neurodegenerative diseases.},
pagetotal = {237},
publisher = {{Springer}},
date = {2010-08-31},
editor = {Feldmeyer, Dirk and L{\"u}bke, Joachim},
file = {/home/fh/lib/books/Feldmeyer2010_New-Aspects-of-Axonal-Structure-and-Function.pdf}
}
@article{Lefort2009,
title = {The {{Excitatory Neuronal Network}} of the {{C2 Barrel Column}} in {{Mouse Primary Somatosensory Cortex}}},
volume = {61},
issn = {0896-6273},
url = {http://www.sciencedirect.com/science/article/pii/S0896627308010921},
doi = {10.1016/j.neuron.2008.12.020},
abstract = {Summary
Local microcircuits within neocortical columns form key determinants of sensory processing. Here, we investigate the excitatory synaptic neuronal network of an anatomically defined cortical column, the C2 barrel column of mouse primary somatosensory cortex. This cortical column is known to process tactile information related to the C2 whisker. Through multiple simultaneous whole-cell recordings, we quantify connectivity maps between individual excitatory neurons located across all cortical layers of the C2 barrel column. Synaptic connectivity depended strongly upon somatic laminar location of both presynaptic and postsynaptic neurons, providing definitive evidence for layer-specific signaling pathways. The strongest excitatory influence upon the cortical column was provided by presynaptic layer 4 neurons. In all layers we found rare large-amplitude synaptic connections, which are likely to contribute strongly to reliable information processing. Our data set provides the first functional description of the excitatory synaptic wiring diagram of a physiologically relevant and anatomically well-defined cortical column at single-cell resolution.},
number = {2},
journaltitle = {Neuron},
shortjournal = {Neuron},
urldate = {2014-10-08},
date = {2009-01-29},
pages = {301--316},
keywords = {SYSNEURO},
author = {Lefort, Sandrine and Tomm, Christian and Floyd Sarria, J. -C. and Petersen, Carl C. H.},
file = {/home/fh/lib/articles/Lefort2009.pdf;/home/fh/.mozilla/firefox/lbe84bnd.default/zotero/storage/8ZBRIFJ8/S0896627308010921.html}
}
@book{Dayan2001,
langid = {english},
location = {{Cambridge, Mass}},
title = {Theoretical {{Neuroscience}}: {{Computational}} and {{Mathematical Modeling}} of {{Neural Systems}}},
edition = {1st edition},
isbn = {978-0-262-04199-7},
shorttitle = {Theoretical {{Neuroscience}}},
abstract = {Theoretical neuroscience provides a quantitative basis for describing what nervous systems do, determining how they function, and uncovering the general principles by which they operate. This text introduces the basic mathematical and computational methods of theoretical neuroscience and presents applications in a variety of areas including vision, sensory-motor integration, development, learning, and memory. The book is divided into three parts. Part I discusses the relationship between sensory stimuli and neural responses, focusing on the representation of information by the spiking activity of neurons. Part II discusses the modeling of neurons and neural circuits on the basis of cellular and synaptic biophysics. Part III analyzes the role of plasticity in development and learning. An appendix covers the mathematical methods used, and exercises are available on the book's Web site.},
pagetotal = {576},
publisher = {{The MIT Press}},
date = {2001-12-01},
author = {Dayan, Peter and Abbott, L. F.},
file = {/home/fh/lib/books/Dayan2001_Theoretical-Neuroscience-Computational-and-Mathematical-Modeling-of-Neural-Systems.pdf}
}
@collection{Bower2013,
langid = {english},
location = {{New York}},
title = {20 {{Years}} of {{Computational Neuroscience}}},
edition = {2013 edition},
isbn = {978-1-4614-1423-0},
abstract = {When funding agencies and policy organizations consider the role of modeling and simulation in modern biology, the question is often posed, what has been accomplished ? This book will be organized around a symposium on the 20 year history of the CNS meetings, to be held as part of CNS 2010 in San Antonio Texas in July 2010. The book, like the symposium is intended to summarize progress made in Computational Neuroscience over the last 20 years while also considering current challenges in the field. As described in the table of contents, the chapter's authors have been selected to provide wide coverage of the applications of computational techniques to a broad range of questions and model systems in neuroscience. The proposed book will include several features that establish the history of the field. For each article, its author will select an article originally appearing in a CNS conference proceedings from 15 \textendash{} 20 years ago. These short (less than 6 page) articles will provide illustrations of the state of the field 20 years ago. The new articles will describe what has been learned about the subject in the following 20 years, and pose specific challenges for the next 20 years. The second historical mechanism will be the reproduction of the first 12 years of posters from the CNS meeting. These posters in and of themselves have become famous in the field (they hang in the halls of the NIH in Bethesda Maryland) and were constructed as allegories for the state and development of computational neuroscience. The posters were designed by the book's editor, who will, for the first time, provide a written description of each poster.},
pagetotal = {283},
publisher = {{Springer}},
date = {2013-07-25},
editor = {Bower, James M.},
file = {/home/fh/lib/books/Bower2013_20-Years-of-Computational-Neuroscience.pdf}
}
@book{Jianfeng2007,
langid = {english},
title = {Computational {{Neuroscience}}: {{A Comprehensive Approach}}},
edition = {1 edition},
shorttitle = {Computational {{Neuroscience}}},
abstract = {No description available},
pagetotal = {656},
publisher = {{CRC Press}},
date = {2007-04-17},
author = {Jianfeng, Feng},
editor = {Feng, Jianfeng},
file = {/home/fh/lib/books/Jianfeng2007_Computational-Neuroscience-A-Comprehensive-Approach.pdf}
}
@article{Kalisman2003,
langid = {english},
title = {Deriving Physical Connectivity from Neuronal Morphology},
volume = {88},
issn = {0340-1200, 1432-0770},
url = {http://link.springer.com/article/10.1007/s00422-002-0377-3},
doi = {10.1007/s00422-002-0377-3},
abstract = {A model is presented that allows prediction of the probability for the formation of appositions between the axons and dendrites of any two neurons based only on their morphological statistics and relative separation. Statistics of axonal and dendritic morphologies of single neurons are obtained from 3D reconstructions of biocytin-filled cells, and a statistical representation of the same cell type is obtained by averaging across neurons according to the model. A simple mathematical formulation is applied to the axonal and dendritic statistical representations to yield the probability for close appositions. The model is validated by a mathematical proof and by comparison of predicted appositions made by layer 5 pyramidal neurons in the rat somatosensory cortex with real anatomical data. The model could be useful for studying microcircuit connectivity and for designing artificial neural networks.},
number = {3},
journaltitle = {Biological Cybernetics},
shortjournal = {Biol. Cybern.},
urldate = {2014-12-05},
date = {2003-03-01},
pages = {210--218},
author = {Kalisman, Nir and Silberberg, Gilad and Markram, Henry},
file = {/home/fh/lib/articles/Kalisman2003.pdf;/home/fh/.mozilla/firefox/lbe84bnd.default/zotero/storage/5N835XB9/10.html}
}
@article{Rochefort2011,
title = {Development of {{Direction Selectivity}} in {{Mouse Cortical Neurons}}},
volume = {71},
issn = {0896-6273},
url = {http://www.sciencedirect.com/science/article/pii/S0896627311005186},
doi = {10.1016/j.neuron.2011.06.013},
abstract = {Summary
Previous studies of the ferret visual cortex indicate that the development of direction selectivity requires visual experience. Here, we used two-photon calcium imaging to study the development of direction selectivity in layer 2/3 neurons of the mouse visual cortex in~vivo. Surprisingly, just after eye opening nearly all orientation-selective neurons were also direction selective. During later development, the number of neurons responding to drifting gratings increased in parallel with the fraction of neurons that were orientation, but not direction, selective. Our experiments demonstrate that direction selectivity develops normally in dark-reared mice, indicating that the early development of direction selectivity is independent of visual experience. Furthermore, remarkable functional similarities exist between the development of direction selectivity in cortical neurons and the previously reported development of direction selectivity in the mouse retina. Together, these findings provide strong evidence that the development of orientation and direction selectivity in the mouse brain is distinctly different from that in ferrets.},
number = {3},
journaltitle = {Neuron},
shortjournal = {Neuron},
urldate = {2014-12-16},
date = {2011-08-11},
pages = {425--432},
author = {Rochefort, Nathalie L. and Narushima, Madoka and Grienberger, Christine and Marandi, Nima and Hill, Daniel N. and Konnerth, Arthur},
file = {/home/fh/lib/articles/Rochefort2011.pdf;/home/fh/.mozilla/firefox/lbe84bnd.default/zotero/storage/FTHZG2PV/S0896627311005186.html}
}
@article{Shepherd2005,
langid = {english},
title = {Geometric and Functional Organization of Cortical Circuits},
volume = {8},