Reaction front propagation of actin polymerization in a comb-reaction system

Iomin A, Zaburdaev V, Pfohl T (2016)

Publication Status: Published

Publication Type: Journal article

Publication year: 2016

Journal

Chaos Solitons & Fractals Elsevier

Publisher: PERGAMON-ELSEVIER SCIENCE LTD

Book Volume: 92

Pages Range: 115-122

DOI: 10.1016/j.chaos.2016.09.011

Abstract

We develop a theoretical model of anomalous transport with polymerization-reaction dynamics. We are motivated by the experimental problem of actin polymerization occurring in a microfluidic device with a comb-like geometry. Depending on the concentration of reagents, two limiting regimes for the propagation of reaction are recovered: the failure of the reaction front propagation and a finite speed of the reaction front corresponding to the Fisher-Kolmogorov-Petrovskii-Piscounov (FKPP) at the long time asymptotic regime. To predict the relevance of these regimes we obtain an explicit expression for the transient time as a function of geometry and parameters of the experimental setup. Explicit analytical expressions of the reaction front velocity are obtained as functions of the experimental setup. (C) 2016 Elsevier Ltd. All rights reserved.

Authors with CRIS profile

Vasily Zaburdaev

Additional Organisation(s)

Lehrstuhl für Mathematik in den Lebenswissenschaften

Involved external institutions

Technion - Israel Institute of Technology IL Israel (IL) Max-Planck-Institut für Physik komplexer Systeme (MPI PKS) / Max Planck Institute for the Physics of Complex Systems DE Germany (DE) Universität Basel CH Switzerland (CH)

How to cite

APA:

Iomin, A., Zaburdaev, V., & Pfohl, T. (2016). Reaction front propagation of actin polymerization in a comb-reaction system. Chaos Solitons & Fractals, 92, 115-122. https://doi.org/10.1016/j.chaos.2016.09.011

MLA:

Iomin, A., Vasily Zaburdaev, and Thomas Pfohl. "Reaction front propagation of actin polymerization in a comb-reaction system." Chaos Solitons & Fractals 92 (2016): 115-122.

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