John Dallon: Paper Abstract
Mathematical Modelling of
Extracellular Matrix Dynamics using Discrete Cells:
Fiber Orientation and Tissue Regeneration
J.C. Dallon 1, Jonathan A. Sherratt 1, Philip K. Maini 2
1: Department of Mathematics, Heriot-Watt University,
Edinburgh EH14 4AS, UK.
2: Centre for Mathematical Biology, Mathematical Institute,
24-29, St Giles', Oxford OX1 3LB, UK.
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.
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