Abstract
A mathematical model of the mechanical properties of the rat small cerebral artery wall is presented. It is assumed that the active component of the stress has a circumferential direction and is a function of the concentration of the activator of smooth muscle cell contractions and circumferential and radial stretch ratios; longitudinal stretching is not considered. Calculations showed a significant decrease in both the circumferential stress and circumferential stretch ratios in the vascular wall after activation; the distribution of these values in the transmural direction became more uniform. The active component has a predominant effect on the formation of the total stress. The circumferential stress component was several times higher than the radial and longitudinal ones. The modulus of the ratio of the radial stress component to the circumferential one increased as a result of activation, and a tendency to a decrease in its value with increasing circumferential stretching was observed. Numerical analysis revealed a high sensitivity of both the radius and stress to even a small change in the values of the parameters included in the functional dependence of the stress on the concentration of the smooth muscle contraction activator.
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