cell flux, cell speed, cell polarization, tissue regeneration, collagen production, fibrin degradation
Matrix orientation plays a crucial role in determining the severity of scar tissue after dermal wounding. We present a model framework which allows us to examine the interaction of many of the factors involved in orientation and alignment. Within this framework, cells are considered as discrete objects, while the matrix is modeled as a continuum. Using numerical simulations, we investigate the effect on alignment of changing cell properties and of varying cell interactions with collagen and fibrin.
Original Publication Citation
J.C. Dallon, J.A. Sherratt and P.K. Maini: Mathematical Modelling of Extracellular Matrix Dynamics using Discrete Cells: Fiber Orientation and Tissue Regeneration. Journal of Theoretical Biology 199: 449-471 (1999).
BYU ScholarsArchive Citation
Dallon, J. C.; Sherratt, J. A.; and Maini, P. K., "Mathematical Modelling of Extracellular Matrix Dynamics using Discrete Cells: Fiber Orientation and Tissue Regeneration" (1999). All Faculty Publications. 1116.
Physical and Mathematical Sciences
© 2000 J. C. Dallon, J. A. Sherratt, and P. K. Maini
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