Dispersion and Attenuation of Small Artificial Pressure Waves in the Canine Aorta

A method was developed to determine the elastic behavior of large blood vessels in terms of their transmission characteristics for small sinusoidal pressure signals. The method is new insofar as it utilizes transient signals of the form of finite trains of sine waves that are superimposed on the naturally occurring pressure fluctuations and are generated by an electrically driven impactor or by a pump. Its application to the thoracic aortas of 18 mature mongrel dogs anesthetized with pentobarbital has shown that dispersion and attenuation data for frequencies between 40 and 200 cps can be obtained without requiring either Fourier transform computations or resolution of reflection interference. For the frequency range considered, the descending aorta is only mildly dispersive but exhibits strong attenuation that must be attributed primarily to dissipative mechanisms in the vessel wall. At normal blood pressure levels, the wave speed during diastole can have a value between 4 and 6 m/sec. For all frequencies tested the amplitude ratio of the waves exhibits the same exponential decay pattern with distance measured in wavelengths. A marked increase in wave speed observed from diastole to systole can be associated with an increase in mean flow and with a stiffening of the aortic wall due to the rise in pressure. This phenomenon implies that the aortas of anesthetized dogs should exhibit nonlinear properties with respect to large amplitude pulse waves such as those generated by the heart.

[1]  William Prager,et al.  On the formulation of constitutive equations for living soft tissues , 1969 .

[2]  J. A. Maxwell,et al.  The dissipation and dispersion of small waves in arteries and veins with viscoelastic wall properties. , 1968, Biophysical journal.

[3]  M. Anliker,et al.  Effects of viscosity and external constraints on wave transmission in blood vessels , 1968 .

[4]  Y. Fung Elasticity of soft tissues in simple elongation. , 1967, The American journal of physiology.

[5]  Dorothea A. Klip,et al.  Formulas for Phase Velocity and Damping of Longitudinal Waves in Thick‐Walled Viscoelastic Tubes , 1967 .

[6]  Y. Fung,et al.  TWO-DIMENSIONAL FINITE DEFORMATION EXPERIMENTS ON DOG'S ARTERIES AND VEINS. , 1967 .

[7]  Julia T. Apter,et al.  Correlation of Visco‐elastic Properties of Large Arteries with Microscopic Structure , 1966, Circulation research.

[8]  H B Atabek,et al.  Wave propagation through a viscous incompressible fluid contained in an initially stressed elastic tube. , 1966, Biophysical journal.

[9]  Edward Saibel,et al.  Attempts in the Mathematical Analysis of Blood Flow , 1963 .

[10]  J. Farber,et al.  Conduction of Cardiovascular Sound Along Arteries , 1963, Circulation research.

[11]  M. Pryce,et al.  Wave Propagation and Group Velocity , 1961, Nature.

[12]  D. Bergel,et al.  The dynamic elastic properties of the arterial wall , 1961, The Journal of physiology.

[13]  M. Landowne,et al.  A Method Using Induced Waves to Study Pressure Propagation in Human Arteries , 1957, Circulation research.

[14]  G. W. Morgan,et al.  Wave Propagation in Elastic Tubes Filled with Streaming Liquid , 1955 .

[15]  G. W. Morgan,et al.  Wave Propagation in a Viscous Liquid Contained in a Flexible Tube , 1954 .

[16]  L. H. Peterson,et al.  The Dynamics of Pulsatile Blood Flow , 1954, Circulation research.

[17]  A. S. Iberall,et al.  Attenuation of Oscillatory Pressures in Instrument Lines , 1950, Journal of Fluids Engineering.

[18]  D. A. Mcdonald,et al.  Regional pulse-wave velocity in the arterial tree. , 1968, Journal of applied physiology.

[19]  W. Klip Velocity and damping of 'the pulse wave' , 1962 .

[20]  D. A. Mcdonald,et al.  The Hydrodynamics of the Arterial Circulation , 1959 .

[21]  M. Landowne Characteristics of impact and pulse wave propagation in brachial and radial arteries. , 1958, Journal of applied physiology.

[22]  J. Womersley,et al.  An Elastic Tube Theory of Pulse Transmission and Oscillatory Flow in Mammalian Arteries , 1957 .

[23]  Konrad Witzig,et al.  Über erzwungene Wellenbewegungen zäher, inkompressibler Flüssigkeiten in elastischen Röhren , 1914 .