A theoretical model of the cellular calcium dynamics and vasomotion in muscular arteries

Muscular arteries possess the ability to control actively their lumen by altering the tone of the smooth muscle cells of the arterial wall, a property which is vital for a large number of the hemodynamical functions of the body. Arterial contraction is due to an increase in the smooth muscle cytosolic calcium concentration. Abnormalities in the contractile mechanisms of arteries contribute to a variety of cardiovascular diseases such as hypertension. The understanding of the mechanisms of vascular smooth muscle functions can therefore contribute to a better diagnosis and treatment of such diseases. Muscular arteries, arterioles and capillaries display also slow rhythmic diameter variations, called vasomotion, independent on other rhythms in the body (cardiac, respiratory, circadian). It is well established that vasomotion is due to the contractile activity of vascular smooth muscle cells, but its underlying mechanisms are not well understood. The aim of the present thesis is to develop a theoretical model to get a better understanding of vasomotion in muscular arteries and arterioles. Many experimental studies have shown that arterial smooth muscle cells respond with cytosolic calcium rises to stimulation by substances causing arterial contraction (vasoconstrictors). A low vasoconstrictor concentration gives rise to asynchronous "all or none" calcium rises (calcium flashes) in few cells. With a higher vasoconstrictor concentration, the number of smooth muscle cells responding in this way increases (recruitment). When all cells are recruited, synchronous calcium oscillations are observed that generate arterial contraction and vasomotion. We show that these phenomena of recruitment and synchronization naturally emerge from a theoretical model of a population of smooth muscle cells coupled through their gap junctions. The effects of electrical, calcium and inositol 1,4,5-trisphosphate couplings are studied. In our model, the asynchronous calcium flashes arise from stochastic opening of channels. The calcium oscillations result from a dynamic system instability and can be synchronized by gap junctional coupling. Our model is validated by published in vitro experiments obtained on rat mesenteric arterial segments. Several experimental studies report that cells presenting only a transient calcium increase when freshly dispersed may present calcium oscillations when they are coupled. Such observations suggest that the role of gap junctions is not only to coordinate calcium oscillations of adjacent cells. Gap junctions may also be important to generate oscillations. To address this point, we study in more detail the properties of electrically coupled smooth muscle cells. We show that the effect of electrical coupling may not only be to synchronize the calcium oscillations in smooth muscle cells, as intuitively expected. A bifurcation analysis in the case of two cells reveals that electrical coupling can cause the calcium oscillations to be synchronous or