Optimising the Windkessel model for cardiac output monitoring during changes in vascular tone

Algorithms for estimating cardiac output (CO) from the arterial blood pressure wave have been observed to be inaccurate during changes in vascular tone. Many such algorithms are based on the Windkessel model of the circulation. We investigated the optimal analytical approaches and assumptions that make up each algorithm during changes in vascular tone. Several analytical approaches and assumptions were evaluated on data from 15 critically ill patients by comparison with thermodilution measurements. We found that the most accurate algorithms assumed a constant compliance for the duration of the beat. They produced a percentage error of ±31% by maintaining the compliance and outflow terms in the Windkessel model. For any algorithm, the following assumptions gave highest accuracy: (i) outflow pressure into the microcirculation is zero; (ii) end of systole is identified using the second derivative of pressure. None of the tested algorithms reached the clinically acceptable accuracy of ±30%.

[1]  M. Bourgeois,et al.  Characteristics of Aortic Diastolic Pressure Decay with Application to the Continuous Monitoring of Changes in Peripheral Vascular Resistance , 1974, Circulation research.

[2]  Remington Jw Volume quantitation of the aortic pressure pulse. , 1952 .

[3]  L. Critchley,et al.  A Meta-Analysis of Studies Using Bias and Precision Statistics to Compare Cardiac Output Measurement Techniques , 1999, Journal of Clinical Monitoring and Computing.

[4]  N. Kouchoukos,et al.  Estimation of Stroke Volume in the Dog by a Pulse Contour Method , 1970, Circulation research.

[5]  Berend E. Westerhof,et al.  The arterial Windkessel , 2009, Medical & Biological Engineering & Computing.

[6]  E H WOOD,et al.  Quantitation of beat-to-beat changes in stroke volume from the aortic pulse contour in man. , 1953, Journal of applied physiology.

[7]  J. Remington Volume quantitation of the aortic pressure pulse. , 1952, Federation proceedings.

[8]  Orestis Vardoulis,et al.  The "systolic volume balance" method for the noninvasive estimation of cardiac output based on pressure wave analysis. , 2012, American journal of physiology. Heart and circulatory physiology.

[9]  G. Liljestrand,et al.  Vergleichende Bestimmungen des Minutenvolumens des Herzens beim Menschen mittels der Stickoxydulmethode und durch Blutdruckmessung , 1928 .

[10]  Mohammed Saeed,et al.  The cardiac output from blood pressure algorithms trial. , 2009, Critical care medicine.

[11]  James Xin Sun,et al.  Cardiac output estimation using arterial blood pressure waveforms , 2006 .

[12]  Roger G. Mark,et al.  An open-source algorithm to detect onset of arterial blood pressure pulses , 2003, Computers in Cardiology, 2003.

[13]  J. Aguado-Sierra,et al.  Separation of the reservoir and wave pressure and velocity from measurements at an arbitrary location in arteries , 2008, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[14]  H. Bazett,et al.  AN ANALYSIS OF THE TIME‐RELATIONS OF ELECTROCARDIOGRAMS. , 1997 .

[15]  O Frank,et al.  The basic shape of the arterial pulse. First treatise: mathematical analysis. 1899. , 1990, Journal of molecular and cellular cardiology.