Name
Title | ||
|---|---|---|
A NOVEL DERIVATION OF RIGOROUS MACROSCOPIC LIMITS FROM A MICRO-MESO DESCRIPTION OF SIGNAL-TRIGGERED CELL MIGRATION IN FIBROUS ENVIRONMENTS |
Abstract | ||
|---|---|---|
In this work we upscale a prototypical kinetic equation model for a cell population moving in a fibrous environment with a chemo-or haptotactic signal influencing both the direction and the magnitude of the cell velocity. The presented approach to scaling does not rely on orthogonality and treats parabolic and hyperbolic scalings in a unified manner. It is shown that the steps of the formal limit procedures are mirrored by rigorous operations with finite measures provided that the measure-valued position-direction fiber distribution enjoys some spatial continuity. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1137/20M1365442 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | DocType | Volume |
kinetic transport equations, hyperbolic, parabolic scaling, cell movement, reaction-diffusion-taxis equations, measure-valued solutions, multiscale modeling | Journal | 82 |
Issue | ISSN | Citations |
1 | 0036-1399 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anna Zhigun | 1 | 0 | 0.34 |
| Christina Surulescu | 2 | 7 | 1.57 |