Multiplication to formalize Microbiological Processes
Here's the quick answer you asked for, too big for comments so sorry if this is not a full answer either. 

This paper is an example of cytoskeletal modelling.  the equations are not simple products (that is to say they have exponentials, derivatives and other non- multiplication operations in them). 

This example reference is a simple axonal growth model.  You will see derivatives being modeled as products.  Not sure if this is what you are looking for.