@RKMcGinnis
I tried to look for similar information, but maybe I searched badly)
Look for in vitro propagation for your plant on google scholar, they do this propagation in large numbers with small differences in medium nutrient and hormone composition to figure out whats best for one plant species. If it works in a petri dish, it works in a pot. Because it's the water that transports the nutrients, not the medium itself. Petri dish gelling agents are meant to be 'as inert as possible', kind of like our inorganic bonsai soils.
Murashige & Skoog salts for instance are fairly balanced. Other formulations like [Insert name] Woody Plant Medium or Gamborg B5 for instance, have different amounts of additives and nutrient compositions. For most nursery plants this has been worked out and you can fetch a recipe name from a review paper or an abstract without having full access.
I've done a couple of those studies myself and I can fairly sure say that it's a whole lot of work. Imagine doing 400 cuttings, every day.
And then photographing all of them from multiple angles, count the roots, root branching, shoots, buds and growth pattern, log it in an excel sheet.. and doing the same thing the next day. And the next. And the next. Repeat for three months.
If you ever wonder where I started going crazy, it wasn't that time, but it surely contributed.
The story of Murashige & Skoog is fun to read, very scientific but imagine two very intelligent guys trying to look for new hormones and accidentally figure out how to optimize growing tobacco in a petri dish by trying different formulations with micrograms of difference between one another, and then tweaking it another 100 times. And then doing it again all over a couple time just for the sake of it. Most plant nutrient producers start off with this general MS formulation and tweak it from there. As a matter of fact, some of them copy it to the T without the sugars. A couple years ago I did an analysis of consumer available nutrients and the ones that came out the best had a large overlap with the murashige & skoog formulation.
A dutch company called Duchefa has a catalogue in pdf format (English) which contains the most commonly used formulations and their composition. They also have pretty extensive information about nutrients, hormones, chemicals and their effects in that catalogue. Surely worth a read, even if you don't know a thing about tissue culture or laboratories. I skim through it every six months just to see if there's something new in there that's worth investigating.
en.m.wikipedia.org