Separation of arterial pressure waves into their forward and backward running components.

A new separation technique has been developed to determine the forward and backward running arterial pressure wave components. It takes into account friction as well as nonlinear effects due to convective acceleration and to the pressure dependence of the arterial compliance. The new method is a combination of two methods treating friction and nonlinearities separately. The method requires the measurements of pressure and flow at one location as well as the knowledge of the area-pressure relationship. The validity of the method was tested by a simulation experiment in which the forward and backward waves were known a priori. It was shown that the new method is significantly more accurate in the predictions of the forward and backward waves when compared to the classical method assuming linearity and no dissipation. The new wave separation method was also applied to simulated aortic waves for (a) a healthy subject and (b) a subject with decreased compliance. Comparison with the classical linear method showed that neglecting nonlinearities leads to an overestimation of the forward and backward pressure wave amplitudes. The errors, however, were in the order of 5 to 10 percent. We concluded that, for most clinical purposes, the improvement using the nonlinear method is of the same magnitude as experimental errors, and thus the linear method would suffice.

[1]  G. Langewouters,et al.  The static elastic properties of 45 human thoracic and 20 abdominal aortas in vitro and the parameters of a new model. , 1984, Journal of biomechanics.

[2]  J. Li,et al.  Time Domain Resolution of Forward and Reflected Waves in the Aorta , 1986, IEEE Transactions on Biomedical Engineering.

[3]  D. F. Young,et al.  Computer simulation of arterial flow with applications to arterial and aortic stenoses. , 1992, Journal of biomechanics.

[4]  N. Westerhof,et al.  Forward and backward waves in the arterial system. , 1972, Cardiovascular research.

[5]  M Zagzoule,et al.  A global mathematical model of the cerebral circulation in man. , 1986, Journal of biomechanics.

[6]  G C van den Bos,et al.  Pulse Wave Reflection: Can It Explain the Differences Between Systemic and Pulmonary Pressure and Flow Waves? A Study in Dogs , 1982, Circulation research.

[7]  B Hillen,et al.  Linear and nonlinear one-dimensional models of pulse wave transmission at high Womersley numbers. , 1989, Journal of biomechanics.

[8]  M. Anliker,et al.  Nonlinear analysis of flow pulses and shock waves in arteries , 1971 .

[9]  Y. Tardy,et al.  Nonlinear separation of forward and backward running waves in elastic conduits. , 1993, Journal of biomechanics.

[10]  S. Ling,et al.  A nonlinear analysis of pulsatile flow in arteries , 1972, Journal of Fluid Mechanics.

[11]  K. Parker,et al.  Forward and backward running waves in the arteries: analysis using the method of characteristics. , 1990, Journal of biomechanical engineering.

[12]  P. Abbrecht,et al.  Digital computer simulation of human systemic arterial pulse wave transmission: a nonlinear model. , 1972, Journal of biomechanics.

[13]  K. Parker,et al.  Nonlinearity of human arterial pulse wave transmission. , 1992, Journal of biomechanical engineering.

[14]  P. Niederer,et al.  A viscoelastic model for use in predicting arterial pulse waves. , 1980, Journal of biomechanical engineering.

[15]  A Noordergraaf,et al.  Analog studies of the human systemic arterial tree. , 1969, Journal of biomechanics.

[16]  M Arditi,et al.  Non-invasive estimate of the mechanical properties of peripheral arteries from ultrasonic and photoplethysmographic measurements. , 1991, Clinical physics and physiological measurement : an official journal of the Hospital Physicists' Association, Deutsche Gesellschaft fur Medizinische Physik and the European Federation of Organisations for Medical Physics.

[17]  N Westerhof,et al.  Manipulation of Ascending Aortic Pressure and Flow Wave Reflections with the Valsalva Maneuver: Relationship to Input Impedance , 1981, Circulation.