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

K. Kang, I. Primi, J. J.L. Velázquez

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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 1

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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