Asymptotic analysis of a chemotactic model of bacteria colonies

被引：4

作者：

Miyata, Susumu

Sasaki, Toru

机构：

[1] Okayama Univ, Grad Sch Environm Sci, Okayama 7008530, Japan

[2] Japan Res Inst Ltd, Tokyo, Japan

来源：

MATHEMATICAL BIOSCIENCES | 2006年 / 201卷 / 1-2期

关键词：

bacterial colony model; chemotaxis; wave length; method of steepest descends;

D O I：

10.1016/j.mbs.2005.12.007

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An estimate of the distance between spots generated by a bacterial colony model is obtained. The model describes the morphogenesis of a spot pattern in colonies of chemotactic strains of Escherichia coli. Asymptotic methods for other cell-chemotaxis models, which have been successfully used by previous researchers, can be applied also to this model. However the calculations and the result is more complicated for this model. The result is verified by comparing it with the results by numerical computations of solutions of the model. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：184 / 194

页数：11

共 9 条

[1]

[Anonymous], 1975, Asymptotic Expansions of Integrals

[2] GENERIC MODELING OF COOPERATIVE GROWTH-PATTERNS IN BACTERIAL COLONIES [J].

BENJACOB, E ;

SCHOCHET, O ;

TENENBAUM, A ;

COHEN, I ;

CZIROK, A ;

VICSEK, T .

NATURE, 1994, 368 (6466) :46-49

[3] COMPLEX PATTERNS FORMED BY MOTILE CELLS OF ESCHERICHIA-COLI [J].

BUDRENE, EO ;

BERG, HC .

NATURE, 1991, 349 (6310) :630-633

[4] PROPAGATING PATTERN SELECTION [J].

DEE, G ;

LANGER, JS .

PHYSICAL REVIEW LETTERS, 1983, 50 (06) :383-386

[5] Modeling spatio-temporal patterns generated by Bacillus subtilis [J].

Kawasaki, K ;

Mochizuki, A ;

Matsushita, M ;

Umeda, T ;

Shigesada, N .

JOURNAL OF THEORETICAL BIOLOGY, 1997, 188 (02) :177-185

[6]

KAWASKI K, 1993, MATH TOPICS BIOL, P176

[7] Interface growth and pattern formation in bacterial colonies [J].

Matsushita, M ;

Wakita, J ;

Itoh, H ;

Rafols, I ;

Matsuyama, T ;

Sakaguchi, H ;

Mimura, M .

PHYSICA A, 1998, 249 (1-4) :517-524

[8]

MYERSCOUGH MR, 1992, B MATH BIOL, V54, P77, DOI 10.1007/BF02458621

[9]

TARUMI K, 1989, B MATH BIOL, V51, P207, DOI 10.1016/S0092-8240(89)80068-0

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