Article ; Online: Stopping a reaction-diffusion front.
2021 Volume 103, Issue 3-1, Page(s) 32210
Abstract: 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 ...
| Abstract | 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 independent 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. |
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| Language | English |
| Publishing date | 2021-04-16 |
| Publishing country | United States |
| Document type | Journal Article |
| ZDB-ID | 2844562-4 |
| ISSN | 2470-0053 ; 2470-0045 |
| ISSN (online) | 2470-0053 |
| ISSN | 2470-0045 |
| DOI | 10.1103/PhysRevE.103.032210 |
| Database | MEDical Literature Analysis and Retrieval System OnLINE |
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