Actin filaments growing against an elastic membrane: Effect of membrane tension

Physical Review. E
Raj Kumar Sadhu, Sakuntala Chatterjee

Abstract

We study the force generation by a set of parallel actin filaments growing against an elastic membrane. The elastic membrane tries to stay flat and any deformation from this flat state, either caused by thermal fluctuations or due to protrusive polymerization force exerted by the filaments, costs energy. We study two lattice models to describe the membrane dynamics. In one case, the energy cost is assumed to be proportional to the absolute magnitude of the height gradient (gradient model) and in the other case it is proportional to the square of the height gradient (Gaussian model). For the gradient model we find that the membrane velocity is a nonmonotonic function of the elastic constant μ and reaches a peak at μ=μ^{*}. For μ<μ^{*} the system fails to reach a steady state and the membrane energy keeps increasing with time. For the Gaussian model, the system always reaches a steady state and the membrane velocity decreases monotonically with the elastic constant ν for all nonzero values of ν. Multiple filaments give rise to protrusions at different regions of the membrane and the elasticity of the membrane induces an effective attraction between the two protrusions in the Gaussian model which causes the protrusions to merge an...Continue Reading

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Jul 15, 2016·Physical Review. E·Raj Kumar Sadhu, Sakuntala Chatterjee

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Citations

Oct 3, 2019·Physical Review. E·Raj Kumar Sadhu, Sakuntala Chatterjee
Feb 17, 2019·The European Physical Journal. E, Soft Matter·Raj Kumar Sadhu, Sakuntala Chatterjee
Nov 28, 2019·Physical Review. E·Anthony J WoodMartin R Evans
Apr 14, 2021·Scientific Reports·Hiroshi Noguchi, Olivier Pierre-Louis
Dec 15, 2020·Developmental Cell·Erik S WelfGaudenz Danuser
Oct 5, 2021·Soft Matter·Subhadip GhoshDebasish Chaudhuri

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