  Three, interrelated biologically-relevant examples of biased random walks are
presented: (1) A model for DNA melting, modelled as DNA unzipping, which
provides a way to illustrate the role of the Boltzmann factor in a venue
well-known to biology and pre-medical students; (2) the activity of helicase
motor proteins in unzipping double-stranded DNA, for example, at the
replication fork, which is an example of a Brownian ratchet; (3) force
generation by actin polymerization, which is another Brownian ratchet, and for
which the force and actin-concentration dependence of the velocity of actin
polymerization is determined.
