We present a numerical study of the nonlinear mechanical model for morphogenesis proposed by Oster et al. (1983) with the aim of establishing the pattern forming capability of the model. We present a technique for mode selection based on linear analysis and show that, in many cases, it is a reliable
โฆ LIBER โฆ
A Nonlinear Analysis of a Mechanical Model for Biological Pattern Formation
โ Scribed by Maini, P. K.; Murray, J. D.
- Book ID
- 118194669
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1988
- Tongue
- English
- Weight
- 919 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0036-1399
- DOI
- 10.1137/0148062
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Nonlinear pattern selection in a mechani
โ
A. S. Perelson; P. K. Maini; J. D. Murray; J. M. Hyman; G. F. Oster
๐
Article
๐
1986
๐
Springer
๐
English
โ 824 KB
A polar transport mechanism for biologic
โ
David A Young
๐
Article
๐
1982
๐
Elsevier Science
๐
English
โ 236 KB
Biological Pattern Formation on Two-Dime
โ
Cruywagen, Gerhard C.; Murray, James D.; Maini, Philip K.
๐
Article
๐
1997
๐
Society for Industrial and Applied Mathematics
๐
English
โ 767 KB
Pattern Formation in a Nonlinear Membran
โ
Larry A. Taber
๐
Article
๐
2000
๐
Springer
๐
English
โ 557 KB
A theory of biological pattern formation
โ
Gierer, A. ;Meinhardt, H.
๐
Article
๐
1972
๐
Springer-Verlag
โ 892 KB
A theory of biological pattern formation
โ
Gierer, A. ;Meinhardt, H.
๐
Article
๐
1972
๐
Springer-Verlag
โ 892 KB
One of the elementary processes in morphogenesis is the formation of a spatial pattern of tissue structures, starting from almost homogeneous tissue. It will be shown that relatively simple molecular mechanisms based on auto-and cross catalysis can account for a primary pattern of morphogens to dete