We study a model for cell sorting based in the presence of differential chemotactic sensitivities. The chemical waves which are responsible for the cell motion propagate along some spiral waves. We prove rigorously that cells with larger chemotactic sensitivity are trapped in a region close to the center of the spiral waves if these propagate along some archimedian spirals.
|Number of pages||54|
|Journal||Communications in Partial Differential Equations|
|Publication status||Published - 2013 Jun|
Bibliographical noteFunding Information:
We thank A. Stevens for several discussions about the model studied in this paper. This work has been supported by the Hausdorff Center for Mathematics of the University of Bonn. K. Kang’s work was also partially supported by NRF-2012R1A1A2001373.
All Science Journal Classification (ASJC) codes
- Applied Mathematics