Genes, Morphogenesis, Evolution: Life and ALife Aspects
Models without diffusion
(Class2 models)
These models can be considered as a special case of Turing system upon
Da=Di=0.
Here we present the brief mathematical description of these models
Models based on the concept of "feedback loop"
General view:
Special case when two reagents are present:
a). The model of the biochemical switches descriptive of genetic control
scheme
b). The generalized Lengyel-Epstein model
Brusselator models
if c1<>0 then c2=0
and vice versa
- n=2, c2=k2=const1=cosnst2=0
- the model of the systems with genetic control;
- c1=k1=const2=0
- the model on the basis of the extended brusselator scheme;
- c2=K=1, k1=k2=0
- the extended Schnackenberg model;
- c1=k1=K=1,
k2=const2=0 - the generalized Gierer
and Meinhardt model.
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