MATHEMATICAL MODELS OF RECEPTOR-MEDIATED TRANSPORT OF MORPHOGENS

被引：7

作者：

Krzyzanowski, Piotr ^{[1
]}

Laurencot, Philippe ^{[2
,3
]}

Wrzosek, Dariusz ^{[1
]}

机构：

[1] Univ Warsaw, Inst Appl Math & Mech, PL-02097 Warsaw, Poland

[2] CNRS, UMR 5219, Inst Math Toulouse, F-31062 Toulouse 9, France

[3] Univ Toulouse, F-31062 Toulouse 9, France

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2010年 / 20卷 / 11期

关键词：

Morphogen gradient; transport; steady state; GRADIENT FORMATION; TRAFFICKING;

D O I：

10.1142/S0218202510004866

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two models of receptor-mediated morphogen transport in a biological tissue are proposed to investigate morphogen gradient formation. The first model concerns intracellular transport of morphogen molecules, while the second describes transport along the cell surface. Both models couple via diffusivity a quasilinear degenerate parabolic equation describing the transport of the morphogens with an ordinary differential equation describing reversible binding kinetics of receptors. A detailed study of the steady states is provided, together with numerical tests which compare the models with experimental data.

引用

页码：2021 / 2052

页数：32

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