论文标题

停止反应扩散前线

Stopping a reaction-diffusion front

论文作者

Caputo, Jean-Guy, Cruz-Pacheco, Gustavo, Sarels, Benoit

论文摘要

我们重新审视了通过缺陷固定反应扩散前部的问题,特别是通过无反应区域。使用集体变量进行前部和数值模拟,我们比较了双稳定前线的行为。可以通过固定标准,对时间独立问题的分析和模拟来确认,可以固定出Bistable的前部。相反,一个单一的前部永远无法固定,它会导致次要脉冲超过缺陷,并计算出该脉冲出现的时间。这些根本不同的行为和单一可单位的前沿为特定生物学领域的建模者带来了问题,例如,在存在不同组织的情况下研究肿瘤生长。

We revisit the problem of pinning a reaction-diffusion front by a defect, in particular by a reaction-free region. Using collective variables for the front and numerical simulations, we compare the behaviors of a bistable and monostable front. A bistable front can be pinned as confirmed by a pinning criterion, the analysis of the time independant problem and simulations. Conversely, a monostable front can never be pinned, it gives rise to a secondary pulse past the defect and we calculate the time this pulse takes to appear. These radically different behaviors of bistable and monostable fronts raise issues for modelers in particular areas of biology, as for example, the study of tumor growth in the presence of different tissues.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源