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Mathematical analysis to test how lamellar bilayers fit within different bicontinuous cubic space groups

  • FATSLiM.yml contains the conda environment to run the FATSLiM membrane thickness calculation
METADATA FOR GEOMETRIC PORE-TO-PORE DISTANCE DISTRIBUTIONS
  • Data were generated with the following command:

    • python geometric_analysis.py -s gyroid schwarz primitive -n 10000 -o pore2pore
  • This produces probability density distributions for each of the three space groups using 10,000 samples.

  • The hard-coded parameters for this analysis are:

    • n, grid size of 100 by 100 by 100 for the discretized nodal approximations
    • box, 9.4 nm -- experimental unit cell size
    • struct_tol, 0.01 -- tolerance for discretized points on surface
    • guess, 4.6 nm -- initial guess for the pore-to-pore distance from bilayer simulation
  • The kernel density estimation used to smooth the distribution was a Gaussian kernel.

    • Bandwidth was determined by 10-fold cross-validation -- 0.1 for every space group