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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| Published in | SIAM journal on applied mathematics Vol. 71; no. 2; pp. 622 - 634 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Philadelphia
Society for Industrial and Applied Mathematics
01.01.2011
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| Abstract | 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. |
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| AbstractList | 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. 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. [PUBLICATION ABSTRACT] |
| Author | SAMPLE, CHRISTINE GOLOVIN, ALEXANDER A. |
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| CitedBy_id | crossref_primary_10_6000_1927_5129_2014_10_52 |
| Cites_doi | 10.1103/PhysRevE.72.051921 10.1103/PhysRevE.76.031925 10.1103/PhysRevE.71.051906 10.1016/0959-440X(95)80040-9 10.1103/PhysRevE.75.051906 10.1529/biophysj.104.041749 10.1088/0031-8949/57/1/011 10.1103/PhysRevLett.76.4444 10.1134/1.558585 10.1103/PhysRevLett.94.088102 10.1103/PhysRevE.64.021908 10.1099/00221287-148-11-3715 10.1103/PhysRevLett.92.168101 10.1074/jbc.M703484200 10.1016/S0167-2789(98)00038-4 10.1209/epl/i1996-00340-1 10.1016/j.bpj.2009.07.008 10.1016/S0167-2789(02)00733-9 10.1016/0003-9861(74)90538-4 10.1016/S0301-4622(97)00139-7 10.1103/PhysRevE.66.031914 10.1016/0006-291X(65)90409-2 10.1016/j.jtbi.2006.05.025 10.1103/PhysRevLett.93.268104 10.1103/PhysRevE.60.4610 10.1515/znc-1973-11-1209 10.1016/S0167-2789(03)00014-9 10.1529/biophysj.106.087817 10.1103/PhysRevLett.84.3494 |
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| Copyright | Copyright ©2011 Society for Industrial and Applied Mathematics Copyright Society for Industrial and Applied Mathematics 2011 |
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| Snippet | A theory of the nonlinear dynamics of a biological double membrane with nonequilibrium chemical fluxes across both membranes is presented. A phenomenological... |
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| SubjectTerms | 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 |
| Title | MORPHOLOGICAL AND CHEMICAL OSCILLATIONS IN A DOUBLE-MEMBRANE SYSTEM |
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