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Applied Mathematics Letters
Volume 14, Issue 2, February 2001, Pages 205-211
 
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doi:10.1016/S0893-9659(00)00137-3    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2000 Published by Elsevier Science Ltd.

Stochastic transitions in a mathematical model for capillary network formation*1

E. G. D'Ambrogio

Universita' degli Studi di Trieste, Trieste, Italy

Communicated by S. A. Levin 
Available online 5 March 2001.

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Abstract

In a model of cell migration in the presence of chemotaxis and haptotaxis, bimodal density distributions can be induced by noise. We suggest this phenomenon as a possible explanation of the experimentally observed up and down motion of the endothelial cells in tumour-related angiogenesis.

Author Keywords: Angiogenesis; Stochastic processes; Bimodality

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Applied Mathematics Letters
Volume 14, Issue 2, February 2001, Pages 205-211
 
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