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Mechanical models for cell movement – locomotion, translocation, migration

Part of: Physiological, cellular and medical topics Limit theorems Markov processes

Published online by Cambridge University Press:  14 July 2016

Joseph C. Watkins
Joseph C. Watkins*
Affiliation:
University of Arizona
*
∗ Postal address: Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA. e-mail: jwatkins@math.arizona.edu
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Abstract

This paper provides a detailed stochastic analysis of leucocyte cell movement based on the dynamics of a rigid body. The cell's behavior is studied in two relevant anisotropic environments displaying adhesion mediated movement (haptotaxis) and stimulus mediated movement (chemotaxis). This behavior is modeled by diffusion processes on three successively longer time scales, termed locomotion, translocation, and migration.

Keywords

CELL MOVEMENTCHEMOTAXISHAPTOTAXISLOCOMOTIONTRANSLOCATIONMIGRATIONDIFFUSION PROCESSESADIABATIC AVERAGING

MSC classification

Primary: 60F05: Central limit and other weak theorems 60J70: Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) 92C10: Biomechanics

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 34 , Issue 4 , December 1997 , pp. 827 - 846
Copyright
Copyright © Applied Probability Trust 1997 

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