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Spatially varying equilibria of mechanical models: Application to dermal wound contraction
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UNSPECIFIED (1998) Spatially varying equilibria of mechanical models: Application to dermal wound contraction. MATHEMATICAL BIOSCIENCES, 147 (1). pp. 113-129. ISSN 0025-5564.
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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. (C) 1998 Elsevier Science Inc.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QH Natural history > QH301 Biology | ||||
Journal or Publication Title: | MATHEMATICAL BIOSCIENCES | ||||
Publisher: | ELSEVIER SCIENCE INC | ||||
ISSN: | 0025-5564 | ||||
Official Date: | 1 January 1998 | ||||
Dates: |
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Volume: | 147 | ||||
Number: | 1 | ||||
Number of Pages: | 17 | ||||
Page Range: | pp. 113-129 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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