applications of (topological and algebraic) commutative diagrams in organic synthesis

Question

In algebraic topology, there are a lot of commutative diagrams and commutative diagrams up to homotopy. Different ways of compositions of maps in a commutative diagram are equal or homotopy equivalent.

An example of commutative diagrams in algebraic topology

In organic synthesis, there are some diagrams consisting of synthetic routes. Different ways of chemical reactions produces the same product.

An example of diagrams of synthetic routes

Question: are there any really useful research topics about the application of commutative diagrams in mathematics into organic synthesis?

Answer 1

John Baez's has recently worked on something related: he modeled Petri nets and chemical reaction inside the framework of category theory. His work can be found on this link.

Hope this address your question.