Extended kinetic models with waiting-time distributions: Exact results

Inspired by the need for effective stochastic models to describe the complexbehavior of biological motor proteins that move on linear tracks exact resultsare derived for the velocity and dispersion of simple linear sequential models(or one-dimensional random walks) with general waiting-time distributions. Theconcept of ``mechanicity'' is introduced in order to conveniently quantifydepartures from simple ``chemical,'' kinetic rate processes, and itssignificance is briefly indicated. The results are extended to more elaboratemodels that have finite side-branches and include death processes (to representthe detachment of a motor from the track).Comment: 17 pages, 2 figure