7) Reaction-diffusion systems: Turing patterns

Question 1

What are the roles of the activator and inhibitor in Turing’s reaction-diffusion model

Answer 1

Activator (X): Promotes its own production (a>0) and Promotes the production of the inhibitor (c>0)
Inhibitor (Y): Suppresses the activator (b<0).
Suppresses its own production (d<0)

Question 2

What is a Taylor expansion

Answer 2