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Anotida Madzvamuse 9-Published-6.08.20.pdf (2.12 MB)

Integrating actin and myosin II in a viscous model for cell migration

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posted on 2023-06-09, 21:32 authored by Anotida Madzvamuse, Benard Kipchumba Kiplangat
This article presents a mathematical and computational model for cell migration that couples a system of reaction-advection-diffusion equations describing the bio-molecular interactions between F-actin and myosin II to a force balance equation describing the structural mechanics of the actin-myosin network. In eukaryotic cells, cell migration is largely powered by a system of actin and myosin dynamics. We formulate the model equations on a two-dimensional cellular migrating evolving domain to take into account the convective and dilution terms for the biochemical reaction-diffusion equations, with hypothetically proposed reaction-kinetics. We employ the evolving finite element method to compute approximate numerical solutions of the coupled biomechanical model in two dimensions. Numerical experiments exhibit cell polarization through symmetry breaking which are driven by the F-actin and myosin II. This conceptual hypothetical proof-of-concept framework set premises for studying experimentally-driven actin-myosin reaction-kinetic network interactions with generalizations to multi-dimensions.

Funding

New predictive mathematical and computational models in experimental sciences; G1949; ROYAL SOCIETY; WM160017

Unravelling new mathematics for 3D cell migration; G1438; LEVERHULME TRUST; RPG-2014-149

InCeM: Research Training Network on Integrated Component Cycling in Epithelial Cell Motility; G1546; EUROPEAN UNION; 642866 - InCeM

History

Publication status

  • Published

File Version

  • Published version

Journal

Frontiers in Applied Mathematics and Statistics

ISSN

2297-4687

Publisher

Frontiers Media

Issue

a26

Volume

6

Page range

1-17

Pages

17.0

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2020-09-09

First Open Access (FOA) Date

2020-09-09

First Compliant Deposit (FCD) Date

2020-09-08

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