I am in a partial differential equations class right now that focuses (loosely) on medical applications. So far we have covered ultrasound, neurofilament transport, arterial pulses, electric impedance tomography, and the transmittance of sound through the inner ear. There are tons of efforts to model biological phenomena. Most of the examples so far have come from *Mathematical Physiology, Keener and Sneyd, Springer, 1998*. It is VERY heavy on the math, but has all kinds of examples of modeling human physiology, along with the assumptions they have to make to do so.