Are there mathematical equations that represent/model the growth of plants? For example, if I have a Bellis perennis and I want to know how it develops in a given environment (Sun is shining, defined amount of water etc). How can one say if it grows a certain height and leafs and all other organs? I don't want a generic solution for this like using L-System and stuff, I just want to have a source where I can research growth rules for a given plant, flower or tree.
I'm making a kind of mini-game for a computer-graphics course at university. Think of it like a 1st-person shooter where you take a seed and plant it into the earth. The plant starts to grow and you will see it grow like in real life. Of course there are some environmental constraints that should be taken into account:
D. Other nutrition stuff like fertilizer
Don't bother about the technical aspects, i just want to know about the biological aspects of plant-growth.
Let's assume we have a sunflower plant. As it starts to grow I get a couple of questions:
1. How fast does the plant stem grow according to a well defined amount of luminosity and water?
2. When do the first leaves develop?
3. How much thickness the stem gains per day/hour/minute?
4. What happens when suddenly there is less amount of luminosity and/or water? How the growth-rate will be affected?
These are only a few questions that arise when i think about this topic. Therefore i want to have a mathematical description of plant-growth under the environmental constraints mentioned above. I don't need a generic approach, but it would be nice to see such a formalism for e.g. a sunflower or Bellis Perennis. I also don't care about things that won't be able to see in the scene, like micro-biological-level - i just care about the whole architecture of the plant (stem, branches, leafes, fruits, (root)).
I did a lot of search on this topic including the computer modeling side:
But these sources focus more on techniques on how to generate images instead of the biological aspects.
Another book I've searched too solve my questions is "On Growth and Form" by Darcy Wentworth Thompson, but thats too general for my needs.
So are there any formal descriptions of plant-growth that take luminosity, water etc into account?