BIFURCATING SPATIALLY HETEROGENEOUS SOLUTIONS IN A CHEMOTAXIS MODEL FOR BIOLOGICAL PATTERN GENERATION

被引：76

作者：

MAINI, PK

MYERSCOUGH, MR

WINTERS, KH

MURRAY, JD

机构：

[1] UNIV UTAH,DEPT MATH,SALT LAKE CITY,UT 84112

[2] UNIV SYDNEY,SCH MATH & STAT,SYDNEY,NSW 2006,AUSTRALIA

[3] UNIV WASHINGTON,SEATTLE,WA 98195

[4] HARWELL LAB,DEPT THEORET STUDIES,DIDCOT OX11 0RA,ENGLAND

来源：

BULLETIN OF MATHEMATICAL BIOLOGY | 1991年 / 53卷 / 05期

关键词：

D O I：

10.1016/S0092-8240(05)80229-0

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider a simple cell-chemotaxis model for spatial pattern formation on two-dimensional domains proposed by Oster and Murray (1989, J. exp. Zool. 251, 186-202). We determine finite-amplitude, steady-state, spatially heterogeneous solutions and study the effect of domain growth on the resulting patterns. We also investigate in-depth bifurcating solutions as the chemotactic parameter varies. This numerical study shows that this deceptively simple-chemotaxis model can produce a surprisingly rich spectrum of complex spatial patterns.

引用

页码：701 / 719

页数：19

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