I dont think there was any rigor in modeling of the field. I did this entire project as one semester as one of my last undergrad courses. I wish I had more time and resources for the project but by then I knew I was headed outside the university into software development.

https://darkcephas.github.io/MELED_paper/MELED_paper.pdf

From what I heard the state of the art was to move away from electrodes and to use lasers. So how that works is that you have the normal electrolytic solution but you apply a passive voltage below the activation voltage. Then you use the laser to break down the double layer at the substrate surface. This leads to laser controlled deposition.