Integrodifferential model for orientational distributions of F-actin in cells

Edith Geigant, Karina Ladizhansky, Alexander Mogilner

Research output: Contribution to journalArticle

Abstract

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. These interactions are modified by cross-linking actin-binding proteins. This problem was raised first by Civelekoglu and Edelstein-Keshet [Bull. Math. Biol., 56 (1994), pp. 587-616]. When restricted to a two-dimensional configuration, the mathematical model consists of a single Boltzmann-like integrodifferential equation for the one-dimensional angular distribution. Linear stability analysis, 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.

Original languageEnglish (US)
Pages (from-to)787-809
Number of pages23
JournalSIAM Journal on Applied Mathematics
Volume59
Issue number3
DOIs
StatePublished - Dec 1998

ASJC Scopus subject areas

  • Applied Mathematics

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