THE IMPORTANCE OF CONSTITUTIVE-EQUATIONS IN MECHANOCHEMICAL MODELS OFPATTERN-FORMATION

Citation
Hm. Byrne et Maj. Chaplain, THE IMPORTANCE OF CONSTITUTIVE-EQUATIONS IN MECHANOCHEMICAL MODELS OFPATTERN-FORMATION, Applied mathematics letters, 9(6), 1996, pp. 85-90
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
08939659
Volume
9
Issue
6
Year of publication
1996
Pages
85 - 90
Database
ISI
SICI code
0893-9659(1996)9:6<85:TIOCIM>2.0.ZU;2-D
Abstract
We analyze a one-dimensional mechanical model which has been proposed to account for the pattern formation which arises in various processes in developmental biology. We compare the effect that different consti tutive equations have on the resulting spatial pattern. In this way, w e conclude that a more detailed knowledge of the mechanical properties of tissues is need if accurate predictions of developing spatial patt erns are to be made.