Spatially varying equilibria of mechanical models: Application to dermal wound contraction
UNSPECIFIED. (1998) Spatially varying equilibria of mechanical models: Application to dermal wound contraction. MATHEMATICAL BIOSCIENCES, 147 (1). pp. 113-129. ISSN 0025-5564Full text not available from this repository.
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|
|Subjects:||Q Science > QH Natural history > QH301 Biology|
|Journal or Publication Title:||MATHEMATICAL BIOSCIENCES|
|Publisher:||ELSEVIER SCIENCE INC|
|Official Date:||1 January 1998|
|Number of Pages:||17|
|Page Range:||pp. 113-129|
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