This repo contains the codes to simulate some spatial models, these are based in the following papers:
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A. J. Koch and H. Meinhardt Biological pattern formation: from basic mechanisms to complex structures
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Turing A. The Chemical Basis of Morphogenesis
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B. Peña and C. Pérez-García Stability of Turing patterns in the Brusselator model
The laplace operatur used was:
and the time derivative was approximated as
Parameters:
| alpha | D | rho | mu | sigma | kappa |
|---|---|---|---|---|---|
| a | 0.005 | 0.01 | 0.01 | 0.0 | 0.0 |
| h | 0.200 | 0.02 | 0.02 | - | - |
kappa_a was varied from 0.0 to 0.25
Parameters:
| alpha | D | rho | mu | sigma | kappa |
|---|---|---|---|---|---|
| a | 0.005 | 0.01 | 0.01 | 0.0 | 0.0 |
| s | 0.200 | 0.02 | - | 0.02 | - |
kappa_a was varied from 0.0 to 0.07 in steps of size 0.1
(Click on the image to be directed to the video)
(Click on the image to be directed to the video)