HOPF-BIFURCATING SPATIALLY HETEROGENEOUS SOLUTION DURING EMBRYOGENESIS

Citation
Ak. Sarkar et J. Chattopadhyay, HOPF-BIFURCATING SPATIALLY HETEROGENEOUS SOLUTION DURING EMBRYOGENESIS, Cybernetica, 40(4), 1997, pp. 319-328
Citations number
18
Categorie Soggetti
Ergonomics,"Computer Science Cybernetics","Computer Science Cybernetics
Journal title
ISSN journal
00114227
Volume
40
Issue
4
Year of publication
1997
Pages
319 - 328
Database
ISI
SICI code
0011-4227(1997)40:4<319:HSHSDE>2.0.ZU;2-L
Abstract
A non-linear reaction diffusion model of cellular differentiation and consequent pattern generation during embryogenesis has been proposed a nd studied analytically. Inclusion of a negative cross diffusion can m aintain a wave like solution and give rise to a dissipative structure has been confirmed by Hopf-bifurcation analysis..