Hydrodynamic Amplification in Blood Vessel and Cardiovascular Dynamics

Abstract

Even if a Newtonian fluid flows through a simple elastic tube, it is not easy to investigate its system dynamics because of the nonlinearity in the relationship between flux and pressure. Therefore, it appears that it is extraordinarily difficult to study the dynamics of vascular network through which the blood as a non-Newtonian fluid flows. We can compare the hydrodynamic phenomena in the elastic tube or blood vessel with the electric phenomena in the electronic active element such as transistor or vacum tube. Although the latter has essentially a nonlinear characteristics in the relationship between electric current and voltage, we can describe its behavior with several system parameters and thus design practical electronic instruments. I introduced a newly established theory (Hatakeyama, 1968a, b) named “active fluid element theory”. On the basis of this theory, we can describe and analyse the “active” phenomenon in flow and pressure in a wide sense whatever the phenomenon is electric or hydrodynamic. In the present paper, the fundamentals in the applications of the active fluid element theory to the system dynamics of blood circulation will be introduced.