Investigation of Turing instability for the Gierer–Meinhardt model
The dependence of the emergence of Turing instability for a distributed system of nonlinear differential equations that describe hydra morphogenesis based on the oscillatory properties of the corresponding trajectories of the system was investigated. The limits in the parameter space that provide di...
Saved in:
Published in | Biophysics (Oxford) Vol. 62; no. 2; pp. 301 - 308 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Moscow
Pleiades Publishing
01.03.2017
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | The dependence of the emergence of Turing instability for a distributed system of nonlinear differential equations that describe hydra morphogenesis based on the oscillatory properties of the corresponding trajectories of the system was investigated. The limits in the parameter space that provide diffusive instability were obtained. The frequency and amplitude dependences of the resulting spatial self oscillations on the values of the main parameters were investigated. Comparative analysis of the properties of the distributed system and corresponding trajectories of the system was carried out and the analytical conclusions were confirmed by the solutions of the system that were found using MATLAB. |
---|---|
ISSN: | 0006-3509 1555-6654 |
DOI: | 10.1134/S0006350917020063 |