On the Propagation of a Wave Front in Viscoelastic Arteries

摘要: In formulating a mathematical model of the arterial system, one-dimensional flow approximation yields realistic pressure and pulses in proximal as well distal regions simulated conduit, provided that viscoelastic damping induced by vessel wall is properly taken into account. Models which are based on purely elastic formulation properties known to produce shocklike transitions propagating not observed man under physiological conditions. The characteristics such they expected reduce tendency shock formation model. order analyze this phenomenon, propagation first second-order waves calculated with aid wave front expansion, criteria for shocks derived. application results human system show be normal conditions, while case pathologically increased rise at root aorta, may develop periphery. particular, it shown never lead finite time class initial conditions mechanical guides interest mammalian circulation.