Keywords
cellular adhesion, size regulation, cell movement, orientation, group size, cell-number counting
Abstract
Size regulation is a crucial feature in many biological systems, with misregulation leading to dysplasia or hyperplasia. The recent discovery of counting factor (CF) in Dictyostelium discoideum will lead to a greater understanding of how the system regulates the size of a group of cells. In this paper we mathematically model the known effects of CF using two different models: a cellular automata model and a discrete continuum hybrid model. With the use of these models we are able to understand how modulation of adhesion and motile forces by CF can facilitate stream breakup. In addition, the modelling suggests a new possible mechanism for stream breakup involving the frequency of cell reorientation.
Original Publication Citation
J.C. Dallon, W. Jang, and R. H. Gomer: Mathematically modeling the effects of counting factor (CF) in Dictyostelium discoideum Mathematical Medicine and Biology 23: 45-62 (26)
BYU ScholarsArchive Citation
Dallon, J. C.; Jang, W.; and Gomer, R. H., "Mathematically modeling the effects of counting factor (CF) in Dictyostelium discoideum" (2006). Faculty Publications. 974.
https://scholarsarchive.byu.edu/facpub/974
Document Type
Peer-Reviewed Article
Publication Date
2006-01-01
Permanent URL
http://hdl.lib.byu.edu/1877/1316
Publisher
Oxford University Press
Language
English
College
Physical and Mathematical Sciences
Department
Mathematics
Copyright Status
© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Copyright Use Information
http://lib.byu.edu/about/copyright/