Anotida Madzvamuse 9-Published-6.08.20.pdf (2.12 MB)
Integrating actin and myosin II in a viscous model for cell migration
journal contribution
posted on 2023-06-09, 21:32 authored by Anotida Madzvamuse, Benard Kipchumba KiplangatThis 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 StatisticsISSN
2297-4687Publisher
Frontiers MediaExternal DOI
Issue
a26Volume
6Page range
1-17Pages
17.0Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2020-09-09First Open Access (FOA) Date
2020-09-09First Compliant Deposit (FCD) Date
2020-09-08Usage metrics
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