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

K. Kang; I. Primi; J. J.L. Velázquez

doi:10.1080/03605302.2012.759970

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

K. Kang, I. Primi, J. J.L. Velázquez

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (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 language	English
Pages (from-to)	1069-1122
Number of pages	54
Journal	Communications in Partial Differential Equations
Volume	38
Issue number	6
DOIs	https://doi.org/10.1080/03605302.2012.759970
Publication status	Published - 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

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10.1080/03605302.2012.759970

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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.",

author = "K. Kang and I. Primi and Vel{\'a}zquez, {J. J.L.}",

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{\textquoteright}s work was also partially supported by NRF-2012R1A1A2001373.",

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AU - Primi, I.

AU - Velázquez, J. J.L.

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PY - 2013/6

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N2 - 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.

AB - 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.

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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