BIFURCATING SPATIAL PATTERNS ARISING FROM TRAVELING WAVES IN A TISSUE INTERACTION-MODEL

被引:3
作者
CRUYWAGEN, GC [1 ]
MAINI, PK [1 ]
MURRAY, JD [1 ]
机构
[1] MATH INST, CTR MATH BIOL, OXFORD OX1 3LB, ENGLAND
基金
美国国家卫生研究院; 美国国家科学基金会;
关键词
TRAVELING WAVE; TISSUE INTERACTION; STEADY STATE PATTERNS;
D O I
10.1016/0893-9659(94)90114-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We analyse a tissue interaction model recently proposed to account for pattern formation in the morphogenesis of skin organ primordia. We show that the model can exhibit travelling wave solutions which leave in their wake a spatially nonuniform, steady state solution.
引用
收藏
页码:63 / 66
页数:4
相关论文
共 7 条
[1]  
[Anonymous], 1991, MATH BIOL
[2]   PATTERN SELECTION IN BIOLOGICAL PATTERN-FORMATION MECHANISMS [J].
BENTIL, DE ;
MURRAY, JD .
APPLIED MATHEMATICS LETTERS, 1991, 4 (03) :1-5
[3]   ON A TISSUE INTERACTION-MODEL FOR SKIN PATTERN-FORMATION [J].
CRUYWAGEN, GC ;
MURRAY, JD .
JOURNAL OF NONLINEAR SCIENCE, 1992, 2 (02) :217-240
[4]  
CRUYWAGEN GC, 1992, IMA J MATH APPL MED, V9, P227
[5]  
CRUYWAGEN GC, UNPUB TRAVELLING WAV
[6]   Generation of Biological Pattern and Form [J].
Murray, J.D. ;
Oster, G.F. .
Mathematical Medicine and Biology, 1984, 1 (01) :51-75
[7]   CELL TRACTION MODELS FOR GENERATING PATTERN AND FORM IN MORPHOGENESIS [J].
MURRAY, JD ;
OSTER, GF .
JOURNAL OF MATHEMATICAL BIOLOGY, 1984, 19 (03) :265-279