Name
Abstract | ||
|---|---|---|
The amplification of an external signal is a key step in direction sensing of biological cells. We consider a simple model for the response to a time-depending signal, which was previously proposed by the last three authors. The model consists of a bulk-surface reaction-diffusion model. We prove that in a suitable asymptotic limit the system converges to a bulk-surface parabolic obstacle-type problem. For this model and a reduction to a nonlocal surface equation we show an L-1-contraction property and, in the case of time-constant signals, the stability of stationary states. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1137/20M1349114 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | DocType | Volume |
PDEs on surfaces, obstacle-type problem, stability of steady states | Journal | 53 |
Issue | ISSN | Citations |
1 | 0036-1410 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anna Logioti | 1 | 0 | 0.34 |
| BARBARA NIETHAMMER | 2 | 15 | 5.87 |
| Matthias Röger | 3 | 6 | 2.49 |
| J. J. L. Velázquez | 4 | 13 | 8.41 |