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Mathematical analysis of a model of Morphogenesis: steady states

 

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Opened Access Mathematical analysis of a model of Morphogenesis: steady states
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Author: Tello del Castillo, José Ignacio
Date: 2007-09
Published in: XX Congreso de Ecuaciones Diferenciales y Aplicaciones. Sevilla, 24-28 de septiembre de 2007
Document type: Presentation
Abstract: We consider a simple mathematical model of distribution of morphogens (signaling molecules responsible for the differentiation of cells and the creation of tissue patterns) proposed by Lander, Nie and Wang in 2002. The model consists of a system of two equations: a PDE of parabolic type modeling the distribution of free morphogens and an ODE describing the evolution of bound receptors. Three biological processes are taken into account: diffusion, degradation and reversible binding. We present results concerning the steady states.
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URI: http://hdl.handle.net/11441/36177

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