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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hatakeyama, I., 1968a, Hemodynamics on the basis of the theory of elastic channel (Japanese), Nihon-rinsho, 26: 2479.
Hatakeyama, I., 1968b, On the hemodynamic amplification in vascular system, J. Physiol. Soc. Japan, 30: 481.
Permut, S. and Riley, R.L., 1963, Hemodynamics of collapsible vessels with tone. The vascular water fall, J. appl. Physiol., 18: 924.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer Science+Business Media New York
About this chapter
Cite this chapter
Hatakeyama, I. (1982). Hydrodynamic Amplification in Blood Vessel and Cardiovascular Dynamics. In: Kenner, T., Busse, R., Hinghofer-Szalkay, H. (eds) Cardiovascular System Dynamics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6693-3_19
Download citation
DOI: https://doi.org/10.1007/978-1-4899-6693-3_19
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-6695-7
Online ISBN: 978-1-4899-6693-3
eBook Packages: Springer Book Archive