A diffusion model for cell polarization with interactions on the membrane
A diffusion model for cell polarization with interactions on the membrane
复制标题
细胞极化与膜上相互作用的扩散模型
DOI：
10.1007/s13160-017-0290-8
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Y. Morita and K. Sakamoto
中科院分区：
文献类型：
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作者：
谷田知史;都甲将;山本瑛久;古閑一憲;白谷正治;Y. Morita and K. Sakamoto
在边界上存在非线性相互作用的情况下，我们研究了一类两分量线性扩散方程组。讨论了平衡解的存在性和稳定性。特别是，稳定的非均匀平衡解被认为代表了细胞的极化状态。给出了平衡解稳定的条件。为了具体说明结果，我们还对一维问题进行了详细的分析。
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.