MORPHOLOGICAL AND CHEMICAL OSCILLATIONS IN A DOUBLE-MEMBRANE SYSTEM

A theory of the nonlinear dynamics of a biological double membrane with nonequilibrium chemical fluxes across both membranes is presented. A phenomenological free-energy functional is formulated that couples the intermembrane distance and the concentration between the membranes, as well as the depen...

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Bibliographic Details
Published inSIAM journal on applied mathematics Vol. 71; no. 2; pp. 622 - 634
Main Authors SAMPLE, CHRISTINE, GOLOVIN, ALEXANDER A.
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.01.2011
Subjects
Acting
Applied mathematics
Boundary conditions
Cell membranes
Curvature
Dynamical systems
Fluxes
Geometric shapes
Grain boundaries
Hydrodynamics
Mathematical analysis
Mathematical models
Membranes
Nonlinear dynamics
Nonlinear equations
Oscillations
Oscillators
P branes
Studies
Traveling waves
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Summary:A theory of the nonlinear dynamics of a biological double membrane with nonequilibrium chemical fluxes across both membranes is presented. A phenomenological free-energy functional is formulated that couples the intermembrane distance and the concentration between the membranes, as well as the dependence of the chemical fluxes on the intermembrane distance and membrane curvature. The derived nonlinear evolution equations for the double membrane dynamics are studied analytically and numerically. The linear stability analysis is performed and the domains of parameters are found in which the double membrane is stable. For the parameter values corresponding to an unstable membrane numerical simulations are performed that reveal oscillations in the chemical concentration and membrane shape.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0036-1399
1095-712X
DOI:10.1137/100800154