A diffusion model for cell polarization with interactions on the membrane

作者：Morita Yoshihisa; Sakamoto Kunimochi

来源：Japan Journal of Industrial and Applied Mathematics, 2018, 35(1): 261-276.

DOI：10.1007/s13160-017-0290-8

• Diffusion system
• Nonlinear boundary value problem
• Linearized stability
• Bifurcations

We deal with a two-component system of linear diffusion equations in the bulk, under nonlinear interactions on the boundary. We give discussions on the existence and stability of equilibrium solutions. In particular, a stable non-uniform equilibrium solution is considered as representing a polarized state of a cell. Conditions for the stability of equilibrium solutions are given. To illustrate the results in concrete terms, we also analyze one dimensional problem in detail.

• 出版日期2018-3