Getting in shape and swimming: the role of cortical forces and membrane heterogeneity in eukaryotic cells
Hao Wu, Marco Avila Ponce de Leon, Hans G. Othmer

TL;DR
This paper investigates how cortical forces and membrane heterogeneity influence cell shape and motility, focusing on tension gradients that enable swimming without cyclic shape changes, and analyzes their effects on cell movement and efficiency.
Contribution
It introduces a model of cell swimming driven by membrane tension gradients without cyclic shape changes, exploring the influence of membrane heterogeneity and fluid interactions.
Findings
Membrane tension gradients can induce diverse cell shapes.
Tension and bending modulus distributions determine movement direction.
Cell motility efficiency depends on fluid properties and membrane heterogeneity.
Abstract
Recent research has shown that motile cells can adapt their mode of propulsion to the mechanical properties of the environment in which they find themselves--crawling in some environments while swimming in others. The latter can involve movement by blebbing or other cyclic shape changes, and both highlysimplified and more realistic models of these modes have been studied previously. Herein we study swimming that is driven by membrane tension gradients that arise from flows in the actin cortex underlying the membrane, and does not involve imposed cyclic shape changes. Such gradients can lead to a number of different characteristic cell shapes, and our first objective is to understand how different distributions of membrane tension influence the shape of cells in an inviscid quiescent fluid. We then analyze the effects of spatial variation in other membrane properties, and how they…
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