Keywords
fibroblasts, collagen, contraction, myofibroblasts, lattices
Abstract
Two mathematical models for fibroblast-collagen interaction are proposed which reproduce qualitative features of fibroblast populated collagen lattice contraction in time. Both models are force based and model the cells as individual entities with discrete attachment sites however the collagen lattice is modeled differently for each model. In the collagen lattice model the lattice is more interconnected and formed by triangulating nodes to form the fibrous structure. In the collagen fiber model the nodes are not triangulated, are less interconnected, and the collagen fibers are modeled as a string of nodes. Both models suggest that the overall increase in stress of the lattice as it contracts is not the cause of the reduced rate of contraction. The reduced rate of contraction is due to an inactivation of the fibroblasts.
Original Publication Citation
Journal of the Royal Society Interface 11:20140598 (2014)doi: 10.1098/rsif.2014.0598
BYU ScholarsArchive Citation
Dallon, J. C.; Evans, Emily J.; and Erhlich, H Paul, "A Mathematical Model of Collagen Lattice Contraction" (2014). Faculty Publications. 2720.
https://scholarsarchive.byu.edu/facpub/2720
Document Type
Peer-Reviewed Article
Publication Date
2014
Permanent URL
http://hdl.lib.byu.edu/1877/5546
Publisher
Royal Society
Language
English
College
Physical and Mathematical Sciences
Department
Mathematics
Copyright Status
© 2014 The Author(s) Published by the Royal Society. All rights reserved.
Copyright Use Information
http://lib.byu.edu/about/copyright/