MATHEMATICAL MODELS OF RECEPTOR-MEDIATED TRANSPORT OF MORPHOGENS
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Publication:3067104
DOI10.1142/S0218202510004866zbMath1207.35197MaRDI QIDQ3067104
Piotr Krzyżanowski, Dariusz Wrzosek, Philippe Laurençot
Publication date: 20 January 2011
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) Second-order elliptic equations (35J15) Developmental biology, pattern formation (92C15) Finite difference methods for boundary value problems involving PDEs (65N06) Initial-boundary value problems for PDEs of mixed type (35M13)
Related Items (6)
A model of morphogen transport in the presence of glypicans. III. ⋮ Mathematical analysis on a multidimensional model of morphogen transport with receptor synthesis ⋮ On a parabolic-ODE system of chemotaxis ⋮ Mathematical analysis of a model of chemotaxis arising from morphogenesis ⋮ A model of morphogen transport in the presence of glypicans. II ⋮ Well-posedness and asymptotic behavior a multidimensional model of morphogen transport
Cites Work
- Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions
- Mathematical modelling of juxtacrine cell signalling
- Semi-linear second-order elliptic equations in \(L^1\)
- Well-Posedness and Convergence to the Steady State for a Model of Morphogen Transport
- Continuum approximations of individual-based models for epithelial monolayers
- A mathematical model for the spread of morphogens with density dependent chemosensitivity
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