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

[41] Stochastic simulation of Turing patterns
Fu Zheng-Ping
Xu Xin-Hang
Wang Hong-Li
Ouyang Qi
CHINESE PHYSICS LETTERS, 2008, 25 (04) : 1220 - 1223
[42] Turing patterns in nonlinear optics
Staliunas, K
Sánchez-Morcillo, VJ
OPTICS COMMUNICATIONS, 2000, 177 (1-6) : 389 - 395
[43] MODELING OF CAVITIES FORMATION IN ELECTROLYTIC PARTICLES WITH PENTAGONAL SYMMETRY
Limanova, N. I.
Mamzin, E. A.
Talalova, E. A.
Vikarchuk, A. A.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2009, (02): : 209 - 216
[44] SIDEWALL FORCING OF HEXAGONAL TURING PATTERNS - RHOMBIC PATTERNS
PEREZMUNUZURI, V
GOMEZGESTEIRA, M
MUNUZURI, AP
CHUA, LO
PEREZVILLAR, V
PHYSICA D, 1995, 82 (1-2): : 195 - 204
[45] Structure and Properties of Exotic Nano- and Mesodiamonds with Pentagonal Symmetry
F. N. Tomilin
V. A. Pomogaev
Yu. A. Melchakova
P. V. Artyushenko
A. A. Shubin
A. M. Volodin
I. L. Zilberberg
P. V. Avramov
Russian Physics Journal, 2022, 64 : 2046 - 2051
[46] Particle dynamics simulations of Turing patterns
Dziekan, P.
Lemarchand, A.
Nowakowski, B.
JOURNAL OF CHEMICAL PHYSICS, 2012, 137 (07):
[47] TURING PATTERNS IN A SIMPLE GEL REACTOR
VIGIL, RD
OUYANG, Q
SWINNEY, HL
PHYSICA A, 1992, 188 (1-3): : 17 - 25
[48] Propagation of Turing patterns in a plankton model
Upadhyay, R. K.
Volpert, V.
Thakur, N. K.
JOURNAL OF BIOLOGICAL DYNAMICS, 2012, 6 (02) : 524 - 538
[49] Stochastic Turing patterns in the Brusselator model
Biancalani, Tommaso
Fanelli, Duccio
Di Patti, Francesca
PHYSICAL REVIEW E, 2010, 81 (04):
[50] Turing model for the patterns of lady beetles
Liaw, SS
Yang, CC
Liu, RT
Hong, JT
PHYSICAL REVIEW E, 2001, 64 (04): : 5 - 419095

← 1 2 3 4 5 →