One-dimensional viscoelastic cell motility models.
In this paper we consider a class of one-dimensional cell motility models with increasing complexities beginning with a kinematic model and ending with a model based on viscoelastic theory. In many of these models, we establish the existence of traveling cell solutions and show numerically that the solutions of the time-dependent problem converge to the traveling cell solutions as t → ∞. As a result, we are able to predict the eventual length and speed of the cell.
Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA 01609, USA. sergey@wpi.edu
Sergey
S
Zheltukhin
Roger
R
Lui
D008841:Actin Cytoskeleton / Q000502:physiology; D000465:Algorithms; D000818:Animals; D001696:Biomechanical Phenomena; D002465:Cell Movement / Q000502:physiology*; D003198:Computer Simulation; D003599:Cytoskeleton / Q000502:physiology; D004548:Elasticity; D006801:Humans; D008954:Models, Biological; D009218:Myosins / Q000502:physiology; D014783:Viscosity
D009218:Myosins