The Mathematical Institute, University of Oxford, Eprints Archive

Spatially varying equilibria of mechanical models: Application to dermal wound contraction

Olsen, L. and Maini, P. K. and Sherratt, J. A. (1998) Spatially varying equilibria of mechanical models: Application to dermal wound contraction. Mathematical Biosciences, 147 (1). pp. 113-129.

[img]
Preview
PDF
687Kb

Abstract

Mechanochemical models based on the Oster-Murray continuum framework have been applied to a variety of biological settings to obtain an understanding of the morphogenesis of living tissues. Wound-healing in mammalian skin is an important example, because a complex sequence of biochemical and biomechanical responses are orchestrated to close a wound by a combination of new tissue formation and wound contraction. Mechanical interactions between dermal fibroblastic cells and the collagen-rich extracellular matrix are crucial in the development of a contracted wound state. We and others have previously proposed mechanochemical models for wound repair to gain a greater understanding of both normal and abnormal healing. In the present work, the existence of spatially varying equilibria of these models is investigated by using a small-stain approximation and phase-plane techniques, with numerical simulations to confirm the analytical predictions. These results are sources of novel insight into the roles of key biological parameters in determining the mechanical properties of a contracted wound. These methods may also be relevant to other morphogenetic scenarios for which similar mechanochemical models have been proposed.

Item Type:Article
Uncontrolled Keywords:n/a
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:440
Deposited By:Philip Maini
Deposited On:27 Nov 2006
Last Modified:20 Jul 2009 14:21

Repository Staff Only: item control page