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On a mathematical model of morphogenesis

Tello del Castillo, Jose Ignacio (2008). On a mathematical model of morphogenesis. In: "XX Congreso de Ecuaciones Diferenciales y Aplicaciones, X Congreso de Matemática Aplicada (CEDYA 2007)", 24/09/2008-28/09/2007, Sevilla, España. ISBN 84-8181-227-7.

Description

Title: On a mathematical model of morphogenesis
Author/s:
  • Tello del Castillo, Jose Ignacio
Item Type: Presentation at Congress or Conference (Article)
Event Title: XX Congreso de Ecuaciones Diferenciales y Aplicaciones, X Congreso de Matemática Aplicada (CEDYA 2007)
Event Dates: 24/09/2008-28/09/2007
Event Location: Sevilla, España
Title of Book: Actas del XX Congreso de Ecuaciones Diferenciales y Aplicaciones, X Congreso de Matemática Aplicada (CEDYA 2007)
Date: 2008
ISBN: 84-8181-227-7
Subjects:
Faculty: E.U. de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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) similar to the model proposed by Lander, Nie and Wan in 2002.The model consists of a system of two equations: a PDE of parabolic type modeling the distribution of free morphogens with a dynamic boundary condition and an ODE describing the evolution of bound receptors. Three biological processes are taken into account: diffusion, degradation and reversible binding. We prove existence and uniqueness of solutions and its asymptotic behavior.

More information

Item ID: 4425
DC Identifier: https://oa.upm.es/4425/
OAI Identifier: oai:oa.upm.es:4425
Official URL: http://congreso.us.es/cedya2007/
Deposited by: Memoria Investigacion
Deposited on: 07 Oct 2010 09:26
Last Modified: 20 Apr 2016 13:39
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