This article can be helpful:

https://pubs.rsc.org/en/content/articlehtml/2015/ce/c5ce01014d

Fundamental growth principles of colloidal metal nanoparticles – a new perspective

for chemical reactions , you can use comsol multiphysics

This article can be helpful:

https://pubs.rsc.org/en/content/articlehtml/2015/ce/c5ce01014d

Fundamental growth principles of colloidal metal nanoparticles – a new perspective

For the chemical reaction you can use the general model related Particle size prediction and nano particles to enhance the thermal conductivity and applications.

I recommend Comsol multiphysics

Growth of Nanoparticles: Key papers from the Polte Labe on Gold nanoparticles, (Turkevick), http://www.poltelab.com/en.html

As above:

https://pubs.rsc.org/en/content/articlehtml/2015/ce/c5ce01014d

Also:

Article The missing piece of the mechanism of the Turkevich method: ...

and

Article Turkevich in New Robes: Key Questions Answered for the Most ...

FREE: https://pubs.acs.org/doi/pdf/10.1021/cr400544s

Article Mechanisms of Nucleation and Growth of Nanoparticles in Solution

and, of course, check out citations via Google Scholar

Population balances is a good way to approach this problem.