TY - JOUR

T1 - Integrodifferential model for orientational distributions of F-actin in cells

AU - Geigant, Edith

AU - Ladizhansky, Karina

AU - Mogilner, Alexander

PY - 1998/12

Y1 - 1998/12

N2 - 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.

AB - 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.

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U2 - 10.1137/s0036139996309539

DO - 10.1137/s0036139996309539

M3 - Article

AN - SCOPUS:0344211073

SN - 0036-1399

VL - 59

SP - 787

EP - 809

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 3

ER -