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- W2023121337 abstract "In this paper we study the existence of classical solutions to a new model of skeletal development in the vertebrate limb. The model incorporates a general term describing adhesion interaction between cells and fibronectin, an extracellular matrix molecule secreted by the cells, as well as two secreted, diffusible regulators of fibronectin production, the positively-acting differentiation factor (“activator”) TGF-β, and a negatively-acting factor (“inhibitor”). Together, these terms constitute a pattern forming system of equations. We analyze the conditions guaranteeing that smooth solutions exist globally in time. We prove that these conditions can be significantly relaxed if we add a diffusion term to the equation describing the evolution of fibronectin." @default.
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- W2023121337 date "2005-08-01" @default.
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- W2023121337 title "Existence of solutions to a new model of biological pattern formation" @default.
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- W2023121337 doi "https://doi.org/10.1016/j.jmaa.2004.11.026" @default.
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