Linear and nonlinear elastic modelling of the deformation of vasa vasorum

The authors present analytical and numerical approaches of the deformation of venous and arterial vessels vasa vasorum. An elastic behaviour of the vessel wall is supposed. It is shown that a normal range of intraluminar pressure induces a small deformation in the vasa vasorum in arteries. According to the nonlinear elastic behaviour, a larger deformation is induced in venous vasa vasorum is rapidly obtained. Increased pressure has serious consequences, especially on the flow in vasa vasorum and induces decrease of oxygen transport. This phenomenon could be one of the generating factors of artheriogenesis and ischemia.