Dynamics of the cytokinetic ring in weak flow coupling limit release_o2imkfkwu5gnvdobxlht4jnrce

by Mainak Chatterjee, Arkya Chatterjee, Amitabha Nandi, Anirban Sain

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Contraction of the cytokinetic ring during cell division leads to physical partitioning of a cell into two daughter cells. This contraction involves flows of actin filaments and myosin motors in the growing membrane interface that causes this separation. Within a continuum gel theory framework, we explore a weak flow coupling approximation where the dynamics of the order parameter, namely the degree of alignment of the acto-myosin filaments, is not significantly affected by the flow, however the flow is influenced by the active stresses generated by the filaments. This allows exact solution of the dynamical equations, producing good agreement with experimental observations. While the relevant time scale of the dynamics turns out to be the ratio of flow viscosity and acto-myosin activity, our theory captures how the effective tension in the ring decreases with its radius. We show how this effect significantly slows down the contraction process at later times.
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Date   2020-07-27
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arXiv  2007.13441v1
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