Existence of global solutions to a model of chondrogenesis

被引：1

作者：

Kazmierczak, B. ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Fundamental Technol Res, Warsaw, Poland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2009年 / 32卷 / 03期

关键词：

bone pattern formation; chemotaxis; invariant region method; MATHEMATICAL-ANALYSIS; CHEMOTAXIS MODEL; AGGREGATION; EQUATIONS; STABILITY;

D O I：

10.1002/mma.1034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper considers conditions sufficient for the existence of classical C-x,1(2+beta,1+beta/2) solutions to a new model of chondrogenesis during the vertebrate limb formation. We assume that the diffusion coefficient of the fibronectin is positive and that the function describing the interaction between the fibronectin and cells satisfies some additional properties. Copyright (C) 2008 John Wiley & Sons, Ltd.

引用

页码：264 / 283

页数：20

共 21 条

[1] Existence of solutions to a new model of biological pattern formation [J].

Alber, M ;

Hentschel, HGE ;

Kazmierczak, B ;

Newman, SA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 308 (01) :175-194

[2]

[Anonymous], 1996, 2 ORDER PARABOLIC DI, DOI DOI 10.1142/3302

[3]

[Anonymous], THESIS HUMBOLDT U BE

[4] Mathematical analysis of a model or the initiation of angiogenesis [J].

Fontelos, MA ;

Friedman, A ;

Hu, B .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2002, 33 (06) :1330-1355

[5] Stability of solutions of chemotaxis equations in reinforced random walks [J].

Friedman, A ;

Tello, JI .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 272 (01) :138-163

[6] Global behaviour of a reaction-diffusion system modelling chemotaxis [J].

Gajewski, H ;

Zacharias, K .

MATHEMATISCHE NACHRICHTEN, 1998, 195 :77-114

[7] Dynamical mechanisms for skeletal pattern formation in the vertebrate limb [J].

Hentschel, HGE ;

Glimm, T ;

Glazier, JA ;

Newman, SA .

PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 2004, 271 (1549) :1713-1722

[8]

HHERRERO MA, 1997, ANN SCUOLA NORMALE S, V4, P633

[9] ON EXPLOSIONS OF SOLUTIONS TO A SYSTEM OF PARTIAL-DIFFERENTIAL EQUATIONS MODELING CHEMOTAXIS [J].

JAGER, W ;

LUCKHAUS, S .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 329 (02) :819-824

[10] MODEL FOR CHEMOTAXIS [J].

KELLER, EF ;

SEGEL, LA .

JOURNAL OF THEORETICAL BIOLOGY, 1971, 30 (02) :225-&

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