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A Stochastic Model for Wound Healing
- Source :
- Journal of Statistical Physics. 122:909-924
- Publication Year :
- 2006
- Publisher :
- Springer Science and Business Media LLC, 2006.
-
Abstract
- We present a discrete stochastic model which represents many of the salient features of the biological process of wound healing. The model describes fronts of cells invading a wound. We have numerical results in one and two dimensions. In one dimension we can give analytic results for the front speed as a power series expansion in a parameter, p, that gives the relative size of proliferation and diffusion processes for the invading cells. In two dimensions the model becomes the Eden model for p near 1. In both one and two dimensions for small p, front propagation for this model should approach that of the Fisher-Kolmogorov equation. However, as in other cases, this discrete model approaches Fisher-Kolmogorov behavior slowly.<br />16 pages, 7 figures
- Subjects :
- Power series
Physics
Stochastic modelling
Mathematical analysis
Front (oceanography)
Statistical and Nonlinear Physics
01 natural sciences
Quantitative Biology::Cell Behavior
010305 fluids & plasmas
Front propagation
Dimension (vector space)
Salient
FOS: Biological sciences
Cell Behavior (q-bio.CB)
0103 physical sciences
Quantitative Biology - Cell Behavior
Diffusion (business)
010306 general physics
Mathematical Physics
Subjects
Details
- ISSN :
- 15729613 and 00224715
- Volume :
- 122
- Database :
- OpenAIRE
- Journal :
- Journal of Statistical Physics
- Accession number :
- edsair.doi.dedup.....9443dd046dbbdfb0c3ac572507b00020