An Integrodifferential Model for Orientational Distributions of F-actin in Cells

SIAM Epidemiology Collection In response to the outbreak of the novel coronavirus SARS-CoV-2 and the associated disease COVID-19, SIAM has made the following collection freely available

Alexander Mogilner; Edith Geigant; Karina Ladizhansky

2003

Scholarcy highlights

  • SIAM Epidemiology Collection In response to the outbreak of the novel coronavirus SARS-CoV-2 and the associated disease COVID-19, SIAM has made the following collection freely available
  • Angular self-organization of the actin cytoskeleton is modeled as a process of instant changing of filament orientation in the course of specific actin-actin interactions
  • When restricted to a two-dimensional configuration, the mathematical model consists of a single Boltzmann-like integrodifferential equation for the one-dimensional angular distribution
  • Asymptotic analysis, and numerical results reveal that at certain parameter values of actin-actin interactions, spontaneous alignment of filaments in the form of unipolar or bipolar bundles or orthogonal networks can be expected

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