This study is concerned with the development of a multiple compartment model of the isolated cerebral artery in rat. The smooth muscle/arterial wall complex is an important component of the circulatory model and serves as a "vasomotor organ", which provides the myogenic mechanism that underlies the phenomenon of the autoregulation of blood flow. We have focused on this myogenic mechanism and have developed a model of the electrophysiological and contractile characteristics of the single smooth muscle cell of the posterior cerebral artery. This cell model is used to interrelate the topics of arterial wall stress, changes in transmembrane potential, intracellular Ca 2+ concentration and contraction. Moreover, the smooth muscle cell model is imbedded in a larger arterial wall model which converts contractile activity into changes in lumen diameter. The complete model consisting of component models of cell, wall, vessel and testing apparatus is used to provide biophysically based explanations of the myogenic mechanisms underlying the autoregulation of cerebral blood flow.