Representation formulas for stationary solutions of a cell polarization model
Representation formulas for stationary solutions of a cell polarization model
复制标题
细胞极化模型稳态解的表示公式
DOI：
10.1007/s13160-022-00537-8
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
T. Tsujikawa and S. Yotsutani
中科院分区：
文献类型：
--
作者：
T. Mori;T. Tsujikawa and S. Yotsutani
我们对Y. Mori, a . Jilkine和L. edelstein - kesshet提出的具有质量守恒的细胞极化模型中出现的具有非局部约束（SLP）的非线性边值问题解的全局分岔结构感兴趣。我们得到了所有解的原始表示公式，并研究了一个由所有具有高度的分岔图组成的曲面。然而，我们找不到曲面的任何参数化。本文给出了（SLP）所有全局分岔图的曲面参数化和具体表示公式。这些结果也有利于数值计算得到所有的分岔图。鉴于这些问题，我们提出了新的方法。
We are interested in the global bifurcation structure of solutions for a nonlinear boundary value problem with nonlocal constraint (SLP) that appears in a cell polarization model with mass conservation proposed by Y. Mori, A. Jilkine and L. Edelstein-Keshet. We obtained primitive representation formulas of all solutions and investigated a surfaceconsisting of all bifurcation diagrams with heights. However, we could not find any parameterization of the surface. In this paper, we show parameterizations of the surfaceand concrete representation formulas of all global bifurcation diagrams of (SLP). These results are also beneficial for numerical computations to get all bifurcation diagrams. We propose new methods in view of them.