Name
Abstract | ||
|---|---|---|
Motivated by various cellular transport processes, we consider diffusion in a potential and analyzethe escape time to boundaries that randomly switch between absorbing and reflecting states. Combiningdisparate tools from PDEs and probability theory, we study both (a) the escape to the boundary inwhich the entire boundary switches and (b) the escape to one of $N$ small pieces of the boundarythat each randomly switch. For (a), we show how the switching boundary affects the classical rateof escape from a potential well. For (b), we significantly generalize a known result for the gatednarrow escape problem and give this result an intuitive probabilistic interpretation. In both cases,our results illustrate the complementary perspectives that PDE and probabilistic methods offer escape problems. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1137/15M1019258 | Multiscale Modeling & Simulation |
Keywords | Field | DocType |
diffusion,cell biology | Mathematical optimization,Piecewise-deterministic Markov process,Probabilistic method,Narrow escape problem,Probabilistic logic,Probability theory,Mathematics | Journal |
Volume | Issue | ISSN |
13 | 4 | 1540-3459 |
Citations | PageRank | References |
2 | 0.61 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Paul C. Bressloff | 1 | 338 | 42.09 |
| sean d lawley | 2 | 11 | 6.68 |