Name
Abstract | ||
|---|---|---|
AbstractThe long range movement of certain organisms in the presence of a chemoattractant can be governed by long distance runs, according to an approximate Leźvy distribution. This article clarifies the form of biologically relevant model equations. We derive Patlak--Keller--Segel-like equations involving nonlocal, fractional Laplacians from a microscopic model for cell movement. Starting from a power-law distribution of run times, we derive a kinetic equation in which the collision term takes into account the long range behavior of the individuals. A fractional chemotactic equation is obtained in a biologically relevant regime. Apart from chemotaxis, our work has implications for biological diffusion in numerous processes. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1137/17M1142867 | Periodicals |
Keywords | Field | DocType |
chemotaxis,Patlak-Keller-Segel equation,velocity jump model,nonlocal diffusion,Levy walk,cell motility | Statistical physics,Chemotaxis,Cell movement,Mathematical analysis,Lévy flight,Collision,Kinetic equations,Lévy distribution,Mathematics | Journal |
Volume | Issue | ISSN |
78 | 2 | 0036-1399 |
Citations | PageRank | References |
1 | 0.43 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gissell Estrada-Rodriguez | 1 | 1 | 0.77 |
| Heiko Gimperlein | 2 | 7 | 3.07 |
| Kevin J. Painter | 3 | 1 | 0.77 |