A perturbation analysis of a mechanical model for stable spatial patterning in embryology |
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| Authors: | D E Bentil J D Murray |
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| Institution: | (1) Applied Mathematics FS-20, University of Washington, 98195 Seattle, WA, USA;(2) Present address: Department of Mathematics, University of New Hampshire, 03824 Durham, NH, USA |
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| Abstract: | Summary We investigate a mechanical cell-traction mechanism that generates stationary spatial patterns. A linear analysis highlights the model's potential for these heterogeneous solutions. We use multiple-scale perturbation techniques to study the evolution of these solutions and compare our solutions with numerical simulations of the model system. We discuss some potential biological applications among which are the formation of ridge patterns, dermatoglyphs, and wound healing. |
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| Keywords: | Morphogenesis mechanical models spatial patterns dermatoglyphs wound healing |
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