Determination of blood vessel parameters by pulse wave

A pulse wave is a complex joint motion of blood and vessel walls described by a nonlinear system of differential equations of hydrodynamics and elasticity theory with a mobile boundary. Even an approximate solution to such a problem is currently not possible without significant simplifications, reducing the problem to almost uninteresting cases. Therefore, to mathematically describe the practically important changes in the pulse wave between the norm and pathology and to identify the main physical parameters that characterize the pathology, it is necessary to build a phenomenological model, the parameters of which are determined from comparison with the experiment.The results obtained indicate that the pulse wave transformation in the cuff area is significantly nonlinear in pressure. Attention is also drawn to the effect of a decrease in the elastic modulus with an increase in the diameter of the vessel.