I was wondering how can we **mathematically** define the biological nature around us. 
How can we mathematically define a real plant or a tree, growing from being a 1 cell to a full grown plant with many cells, and having the unique shape it has (For example palm tree vs bush tree).

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From what I know, the DNA encodes all of the information required to define a plant (or other forms of living like animals/humans). 

If I want for example to genetically engineer a plant, for example, I want to create a blue rose, I can take a red rose and a yellow rose, decode their DNA sequence, check where the two sequences differ, they will probably differ at the place that defines the color of the rose, Now I will change the code at this place to something else and I will probably get some rose colored with a color that is neither red nor yellow, I will experiment more with this place (in the DNA sequence) till I will get a color that is close to blue.

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I mean: can't we define a real living plant (with its DNA) **mathematically**. 

We can very well mathematically define what are the angles and shapes of the leafs, the thickness of the branches, the color of the flowers and their general shape, and many many more features. Now the real problem is how can we encode all of these abstract mathematical information into the DNA (which is structured like a bit sequence) in a mathematically abstract process.

Can't we find mathematical rules or axioms that define how a cell divides into two or more cells (while taking the DNA into account) to create a full grown creature with the clear features visible as stated above.

Maybe we can develop some mathematical model that can simulate the growth process of the cells (maybe by some recursive sequence or algorithm) that will compose the whole creature so that we can determine the general shape of the creature by its DNA sequence and vice versa.

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It seems that math **can** **attack** physical, chemical, machine, computer (discrete case) and abstract mathematical stuff very well, but unfortunately it seems that mathematics **cannot** **attack** biological and genetic stuff very well.

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Thanks for any information/share of knowledge.