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Three, interrelated biologically-relevant examples of biased random walks arepresented: (1) A model for DNA melting, modelled as DNA unzipping, whichprovides a way to illustrate the role of the Boltzmann factor in a venuewell-known to biology and pre-medical students; (2) the activity of helicasemotor proteins in unzipping double-stranded DNA, for example, at thereplication fork, which is an example of a Brownian ratchet; (3) forcegeneration by actin polymerization, which is another Brownian ratchet, and forwhich the force and actin-concentration dependence of the velocity of actinpolymerization is determined.

The Boltzmann factor, DNA melting, and Brownian ratchets: Topics in an introductory physics sequence for biology and premedical students