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A model of morphogen transport in the presence of glypicans I
- Source :
-
Nonlinear Analysis . May2013, Vol. 83, p91-101. 11p. - Publication Year :
- 2013
-
Abstract
- Abstract: We analyse a one dimensional version of a model of morphogen transport, a biological process governing cell differentiation. The model was proposed by Hufnagel et al. to describe the forming of a morphogen gradient in the wing imaginal disc of the fruit fly. In mathematical terms the model is a system of reaction–diffusion equations which consists of two parabolic PDE’s and three ODE’s. The source of ligands is modelled by a Dirac Delta. Using the semigroup approach and techniques we prove that the system is well-posed and possesses a unique steady state. All results are proved without imposing any artificial restrictions on the range of parameters. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 83
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 85853060
- Full Text :
- https://doi.org/10.1016/j.na.2012.10.012