Why do we need mathematical modeling in biology?

Big data can be analyzed in many different ways, depending on the scientific questions that need to be answered. Bioinformatics and computational biology are relatively more common terms for data analysis methods that borrow heavily from the fields of math and computer science. In this blog post I discuss the utility of mathematical biology methods.

What do you think about the way I have defined these (overlapping) terms? Do you have any systems you would like to study using mathematical modeling?