A 2D-Model of Cell Sorting Induced by Propagation of Chemical Signals Along Spiral Waves

K. Kang, I. Primi, J. J.L. Velázquez

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1069-1122
Number of pages54
JournalCommunications in Partial Differential Equations
Volume38
Issue number6
DOIs
Publication statusPublished - 2013 Jun

Bibliographical note

Funding 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

  • Analysis
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'A 2D-Model of Cell Sorting Induced by Propagation of Chemical Signals Along Spiral Waves'. Together they form a unique fingerprint.

Cite this