Tentative topics:

A brief review of problems in biology
Quantitative description of random processes.
Random walks, Friction, Diffusion
Diffusion through membranes.
Motion in in a viscous fluid.
Entropy, free energy and entropic forces.
Osmotic pressure, osmotic flow, depletion forces.
Chemical reactions, chemical potentials.
Biopolymers
Statistical physics of cooperative transitions: DNA stretching, helix-coil transition in proteins, hemoglobin. Molecular motors, Brownian ratchets and methods of their description.
Electric charges in water.
Ion channels.
Hodgkin-Huxley model of neural excitation.