Turing patterns with pentagonal symmetry

被引：39

作者：

Aragón, J.L. ^{[1
]}

Torres, M. ^{[2
]}

Gil, D. ^{[3
]}

Barrio, R.A. ^{[4
]}

Maini, P.K. ^{[5
]}

机构：

[1] Instituto de Física, Univ. Nac. Auton. de México, Apartado Postal 1-1010, Querétaro 76000, Mexico

[2] Instituto de Física Aplicada, Consejo Sup. de Investigacions Cie., Serrano 144, 28006 Madrid, Spain

[3] Departamento de Paleontología, Fac. de Ciencias Geológicas, Universidad Complutense, Ciudad Universitaria, 28040 Madrid, Spain

[4] Instituto de Física, Univ. Nac. Auton. de México, Apartado Postal 20-364, Méx. 01000, Distrito Federal, Mexico

[5] Centre for Mathematical Biology, Mathematical Institute, Oxford University, 24-29 St. Giles, Oxford OX1 3LB, United Kingdom

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 05期

关键词：

Aspect ratio - Boundary conditions - Computer simulation - Functions - Mathematical models - Pigments - Random processes;

D O I：

10.1103/PhysRevE.65.051913

中图分类号：

学科分类号：

摘要：

We explore numerically the formation of Turing patterns in a confined circular domain with small aspect ratio. Our results show that stable fivefold patterns are formed over a well defined range of disk sizes, offering a possible mechanism for inducing the fivefold symmetry observed in early development of regular echinoids. Using this pattern as a seed, more complex biological structures can be mimicked, such as the pigmentation pattern of sea urchins and the plate arrangements of the calyxes of primitive camerate crinoids. © 2002 The American Physical Society.

引用

页码：1 / 051913

共 50 条

[1] Turing patterns with pentagonal symmetry -: art. no. 051913
Aragón, JL
Torres, M
Gil, D
Barrio, RA
Maini, PK
PHYSICAL REVIEW E, 2002, 65 (05):
[2] Turing patterns with O(3) symmetry
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[3] Phyllotactic order induced by symmetry breaking in advected Turing patterns
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[4] PENTAGONAL SYMMETRY IN NATURE
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[5] Phyllotactic order induced by symmetry breaking in advected Turing patterns
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