  The fluid shear stress is an important regulator of the cardiovascular system
via the endothelium-derived relaxing factor (EDRF) that is Nitric Oxide. This
mechanism involves biochemical reactions in an arterial wall. The
autoregulation process is managed by the vascular tonus and gives the negative
feedback for the shear stress changing. A new mathematical model for the
autoregulation of a blood flow through arteria under the constant transmural
pressure is presented. Endothelium-derived relaxing factor Nitric Oxide, the
multi-layer structure of an arterial wall, and kinetic-diffusion processes are
taken into consideration. The limit case of the thin-wall artery is
analytically studied. The stability condition for a stationary point of the
linearized system is given. The exact stationary solutions of the origin system
are found. The numerical simulation for the autoregulation system is presented.
It is shown the arteria adaptation to an initial radial perturbation and the
transition of the system to new equilibrium state in response on the blood flow
changing.
