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Dynamic regimes and bifurcations in a model of actin-based motility

Item Type:Article
Title:Dynamic regimes and bifurcations in a model of actin-based motility
Creators Name:Enculescu, M. and Gholami, A. and Falcke, M.
Abstract:Propulsion by actin polymerization is widely used in cell motility. Here, we investigate a model of the brush range of an actin gel close to a propelled object, describing the force generation and the dynamics of the propagation velocity. We find transitions between stable steady states and relaxation oscillations when the attachment rate of actin filaments to the obstacle is varied. The oscillations set in at small values of the attachment rate via a homoclinic bifurcation. A second transition from a stable steady state to relaxation oscillations, found for higher values of the attachment rate, occurs via a supercritical Hopf bifurcation. The behavior of the model near the second transition is similar that of a system undergoing a canard explosion. Consequently, we observe excitable dynamics also. The model further exhibits bistability between stationary states or stationary states and limit cycles. Therefore, the brush of actin filament ends appears to have a much richer dynamics than was assumed until now.
Keywords:Actins, Algorithms, Biophysics, Cell Movement, Entropy, Hot Temperature, Kinetics, Listeria Monocytogenes, Microfilaments, Statistical Models, Theoretical Models, Oscillometry, Polymers, Time Factors
Source:Physical Review E
ISSN:1539-3755
Publisher:American Physical Society (U.S.A.)
Volume:78
Number:3 Pt 1
Page Range:031915
Date:September 2008
Official Publication:https://doi.org/10.1103/PhysRevE.78.031915
PubMed:View item in PubMed

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