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We present two modelling frameworks for studying dynamic anistropy in connective tissue, motivated by the problem of fibre alignment in wound healing. The first model is a system of partial differential equations operating on a macroscopic scale. We show that a model consisting of a single extracellular matrix material aligned by fibroblasts via flux and stress exhibits behaviour that is incompatible with experimental observations. We extend the model to two matrix types and show that the results of this extended model are robust and consistent with experiment. The second model represents cells as discrete objects in a continuum of ECM. We show that this model predicts patterns of alignment on macroscopic length scales that are lost in a continuum model of the cell population.

Type

Journal article

Journal

Math Biosci

Publication Date

05/1999

Volume

158

Pages

145 - 170

Keywords

Anisotropy, Computer Simulation, Connective Tissue, Extracellular Matrix, Fibroblasts, Models, Biological, Skin Physiological Phenomena, Wound Healing