Porting (what should be) a simple reaction-diffusion shader from webgl to Unity

I've been scratching my head over this for quite some time. I've been trying to port a simple reaction-diffusion shader (seen here) from webgl to Unity. Basically, reaction-diffusion involves the tracking and updating of two chemical compounds (stored in a rendertexture at a given uv coordinate) according to a simple formula. More info here. The basic RD shader involves 3 steps: reading the current values, calculating the updated value, and writing the new value. The rendertexture with the updated values is then processed by a colormapping shader, which reads the value and converts it into an rgb color. All of this sounds simple enough, and I expected this to be pretty straightforward, but the output that I get using the same parameters as the webgl shader, looks completely different. In fact I cannot get anything that looks even remotely like this and other examples that I found on the web.

I've tried many different things; using different parameters, setting appropriate rendertexture properties (filtering, aniso, mipmapping) but the output just never looks like the original.

I've attached a barebones unity project, I was hoping that someone here would be able to tell me what I am doing wrong here

I've also attached two images showing what the original output is (coral like pattern) and what the output from the ported shader is, after 'seeding' the simulation by clicking in the center of the screen

 

It looked to be working with only a few issues. I changed your script to do a number of iterations each frame to speed things up 20x. I changed the add reactant color to be lower as it was causing large black sections to appear. And I changed your render texture format to ARGBFloat and made the display texture bilinearly sampled to smooth it out.

 

Boundingbox, thank you very much for taking a look, and letting me know what I did wrong! Setting the rendertextureformat to RGBA32 was just a dumb mistake to make, I can't believe how I overlooked that one. But I am still puzzled as to why the 'add reactant amount' has to be lower than the original, to get the same result. But that is something I can live with Thanks again!