MORPHOLOGICAL AND CHEMICAL OSCILLATIONS IN A DOUBLE-MEMBRANE SYSTEM

• Published in: SIAM journal on applied mathematics Vol. 71; no. 2; pp. 622 - 634
• Main Authors: SAMPLE, CHRISTINE, GOLOVIN, ALEXANDER A.
• Format: Journal Article
• Language: English
• 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

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...