Turing's papers on the subject formed part of the research for my dissertation project, which culminated in a Matlab simulation of the skin patterns he described with inhibitors/activators.
I recently converted it to JS and also Ruby, as an excuse for a few coding exercises. It's still a work in progress, but can be found here:
Since you're in the field, maybe I could ask about your impression of Wolfram's NKS? As a layperson, I understand it's a generalization of many classes of such patterns.
Actually, the dissertation project was my only experience with the field. Although I read some of NKS at the time, it's a distant memory and so I wouldn't be able to say!
https://www.wolframscience.com