I've heard that there's a relatively new field of science called Mathematical Biologymathematical biology. It will certainly apply well known and less known mathematical techniques to the understanding of some biological phenomena such as strings of DNA knotting together, proteins bending, cell membranes, population dynamics,...
- Which interesting advances from the point of view of a mathematician are there that have been inspired by Biologybiology and related areas?
For example, I heard of "Membrane"membrane computation", but I don't know if it's genuinely inspired by biology in some nontrivial way or if it just bears that name by a loose analogy...
- Which fields of Mathematicsmathematics are currently used in the discipline called Mathematical Biologymathematical biology?
If I were asked about Economyeconomy and Mathematicalmathematical Finance I would loosely quote probability theory, stochastic differential equations, Ito integrals, ... So, what about Biologybiology?