Effects of pressure-dependent segmental arterial compliance and postural changes on pulse wave transmission in an arterial model of the human upper limb

With increasing interest in the effect of postural changes on arterial blood pressure and vascular properties, it is important to understand effects of pressure-dependent arterial compliance. This study investigates effects of pressure-dependent compliance on pulse wave velocity (PWVar), pressure wave shape, and transmission characteristics in an arterial model of the human arm from heart to radial artery from supine to standing. Estimated central pressure waveform was used as the input for the model, calculated using a validated transfer function (SphygmoCor, AtCor Medical) from recorded radial pulses in 10 healthy male subjects (53.8±7.9 years) during 0, 30, 60 and 90 degree head-up tilt. A 5-segment linear model was optimized using estimated central and recorded radial arterial pulse; each segment represented by an equivalent inductance, resistance and capacitance (compliance (C)) Pressure-dependent compliance (C(P)=a·eb·P was added to develop a nonlinear model, and the radial pulse calculated. Comparison of the radial pulse calculated by the linear and nonlinear models showed no statistical difference in systolic, diastolic, mean, and pulse pressure in any position of tilt. However, waveform shape was increasingly divergent at higher angles of tilt (RMS error 2.3±1.2 mmHg supine, 6.5±3.0 mmHg standing) as was PWVar (0% increase from supine to standing in the linear model, 16.7% increase in nonlinear model). Fourier analysis demonstrated peak amplitude of transmission being at higher frequencies and phase delay being lower in the nonlinear model relative to the linear model. Pressure-dependent arterial compliance, whilst having no effect on peak values of pressure, has significant effects on waveform shape and transmission speed, especially with a more upright position.

[1]  A. P. Avó Multi-branched model of the human arterial system , 2006 .

[2]  Klaus Nordhausen,et al.  Ageing and cardiovascular responses to head-up tilt in healthy subjects. , 2009, Atherosclerosis.

[3]  Krzysztof Narkiewicz,et al.  An independent relationship between muscle sympathetic nerve activity and pulse wave velocity in normal humans , 2010, Journal of hypertension.

[4]  A P Avolio,et al.  Pressure wave propagation in a multibranched model of the human upper limb. , 1995, The American journal of physiology.

[5]  R J Hillestad,et al.  Computer modeling of the human systemic arterial tree. , 1968, Journal of biomechanics.

[6]  M. G. Taylor,et al.  Alterations with Age in the Viscoelastic Properties of Human Arterial Walls , 1966, Circulation research.

[7]  L. Brush,et al.  McDonaldʼs Blood Flow in Arteries , 1991 .

[8]  C. H. Chen,et al.  Estimation of central aortic pressure waveform by mathematical transformation of radial tonometry pressure. Validation of generalized transfer function. , 1997, Circulation.

[9]  N. Stergiopulos,et al.  Total arterial inertance as the fourth element of the windkessel model. , 1999, American journal of physiology. Heart and circulatory physiology.

[10]  M. Karamanoglu,et al.  An analysis of the relationship between central aortic and peripheral upper limb pressure waves in man. , 1993, European heart journal.

[11]  W. Nichols,et al.  Augmentation index as a measure of peripheral vascular disease state. , 2002, Current opinion in cardiology.

[12]  G. Drzewiecki,et al.  A nonlinear model of the arterial system incorporating a pressure-dependent compliance , 1990, IEEE Transactions on Biomedical Engineering.

[13]  Nico Westerhof,et al.  Active standing reduces wave reflection in the presence of increased peripheral resistance in young and old healthy individuals , 2011, Journal of hypertension.

[14]  A. Cipriano,et al.  Estimation of cardiac function from computer analysis of the arterial pressure waveform , 1998, IEEE Transactions on Biomedical Engineering.

[15]  H. Tran,et al.  Blood pressure and blood flow variation during postural change from sitting to standing: model development and validation. , 2005, Journal of applied physiology.

[16]  P. Chowienczyk,et al.  Evaluation of Carotid–Femoral Pulse Wave Velocity: Influence of Timing Algorithm and Heart Rate , 2005, Hypertension.

[17]  K P Brin,et al.  Estimation of total arterial compliance: an improved method and evaluation of current methods. , 1986, The American journal of physiology.