About this Journal Submit a Manuscript Table of Contents
BioMed Research International
Volume 2014 (2014), Article ID 459269, 10 pages
http://dx.doi.org/10.1155/2014/459269
Research Article

Relationship between Stroke Volume and Pulse Pressure during Blood Volume Perturbation: A Mathematical Analysis

Department of Mechanical Engineering, University of Maryland, 2181 Glenn L. Martin Hall, College Park, MD 20742, USA

Received 13 February 2014; Revised 15 April 2014; Accepted 24 April 2014; Published 20 May 2014

Academic Editor: Karim Bendjelid

Copyright © 2014 Ramin Bighamian and Jin-Oh Hahn. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. R. Reynolds and J. S. Hochman, “Cardiogenic shock current concepts and improving outcomes,” Circulation, vol. 117, no. 5, pp. 686–697, 2008. View at Publisher · View at Google Scholar · View at Scopus
  2. J. L. Lomas-Niera, M. Perl, C. S. Chung, and A. Ayala, “Shock and hemorrhage: an overview of animal models,” Shock, vol. 24, no. 1, pp. 33–39, 2005. View at Publisher · View at Google Scholar · View at Scopus
  3. J. D. Hunter and M. Doddi, “Sepsis and the heart,” British Journal of Anaesthesia, vol. 104, no. 1, pp. 3–11, 2010. View at Publisher · View at Google Scholar · View at Scopus
  4. M. J. Devivo, “Epidemiology of traumatic spinal cord injury: trends and future implications,” Spinal Cord, vol. 50, no. 5, pp. 365–372, 2012.
  5. M. R. Gamberini, A. Meloni, G. Rossi et al., “Hypothyroidism and cardiac complications in thalassemia major patients,” Blood, vol. 122, no. 21, pp. 2254–2254, 2013.
  6. J. Bisgaard, T. Gilsaa, E. Rønholm, and P. Toft, “Optimising stroke volume and oxygen delivery in abdominal aortic surgery: a randomised controlled trial,” Acta Anaesthesiologica Scandinavica, vol. 57, no. 2, pp. 178–188, 2013.
  7. K. Tomsin, T. Mesens, G. Molenberghs, L. Peeters, and W. Gyselaers, “Characteristics of heart, arteries, and veins in low and high cardiac output preeclampsia,” European Journal of Obstetrics & Gynecology and Reproductive Biology, vol. 169, no. 2, pp. 218–222, 2013.
  8. P. McCann and P. J. Hauptman, “Inotropic therapy: an important role in the treatment of advanced symptomatic heart failure,” Medical Clinics of North America, vol. 96, no. 5, pp. 943–954, 2012.
  9. M. Hadian, D. A. Severyn, and M. R. Pinsky, “The effects of vasoactive drugs on pulse pressure and stroke volume variation in postoperative ventilated patients,” Journal of Critical Care, vol. 26, no. 3, pp. 328.e1–328.e8, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. A. Watanabe, T. Tagami, S. Yokobori et al., “Global end-diastolic volume is associated with the occurrence of delayed cerebral ischemia and pulmonary edema after subarachnoid hemorrhage,” Shock Augusta Ga, vol. 38, no. 5, pp. 480–485, 2012.
  11. J. Truijen, J. J. van Lieshout, W. A. Wesselink, and B. E. Westerhof, “Noninvasive continuous hemodynamic monitoring,” Journal of Clinical Monitoring and Computing, vol. 26, no. 4, pp. 267–278, 2012.
  12. D. A. Reuter, C. Huang, T. Edrich, S. K. Shernan, and H. K. Eltzschig, “Cardiac output monitoring using indicator-dilution techniques: basics, limits, and perspectives,” Anesthesia and Analgesia, vol. 110, no. 3, pp. 799–811, 2010. View at Publisher · View at Google Scholar · View at Scopus
  13. W. Alexander Osthaus, D. Huber, C. Beck et al., “Comparison of electrical velocimetry and transpulmonary thermodilution for measuring cardiac output in piglets,” Paediatric Anaesthesia, vol. 17, no. 8, pp. 749–755, 2007. View at Publisher · View at Google Scholar · View at Scopus
  14. D. Tucker and M. F. Hazinski, “The nursing perspective on monitoring hemodynamics and oxygen transport,” Pediatric Critical Care Medicine, vol. 12, supplement 4, pp. S72–S75, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. D. D. Backer and M. R. Pinsky, “Can one predict fluid responsiveness in spontaneously breathing patients?” in Applied Physiology in Intensive Care Medicine 2, M. R. Pinsky, L. Brochard, J. Mancebo, and M. Antonelli, Eds., pp. 385–387, Springer, Berlin, Germany, 2012.
  16. H. Ishihara, H. Okawa, K. Tanabe et al., “A new non-invasive continuous cardiac output trend solely utilizing routine cardiovascular monitors: comparison with the continuous thermodilution method early cardiovascular monitors,” Journal of Clinical Monitoring and Computing, vol. 18, no. 5-6, pp. 313–320, 2004. View at Publisher · View at Google Scholar · View at Scopus
  17. B. Bataille, M. Bertuit, M. Mora et al., “Comparison of esCCO and transthoracic echocardiography for non-invasive measurement of cardiac output intensive care,” British Journal of Anaesthesia, vol. 109, no. 6, pp. 879–886, 2012.
  18. T. G. Papaioannou, O. Vardoulis, and N. Stergiopulos, “The “systolic volume balance” method for the noninvasive estimation of cardiac output based on pressure wave analysis,” The American Journal of Physiology—Heart and Circulatory Physiology, vol. 302, no. 10, pp. H2064–H2073, 2012.
  19. L. Mathews and K. R. K. Singh, “Cardiac output monitoring,” Annals of Cardiac Anaesthesia, vol. 11, no. 1, pp. 56–58, 2008. View at Publisher · View at Google Scholar
  20. T. A. Parlikar, T. Heldt, G. V. Ranade, and G. C. Verghese, “Model-based estimation of cardiac output and total peripheral resistance,” in Proceedings of the Computers in Cardiology, pp. 379–382, October 2007. View at Publisher · View at Google Scholar · View at Scopus
  21. N. Fazeli and J. O. Hahn, “Estimation of cardiac output and peripheral resistance using square-wave-approximated aortic flow signal,” Frontiers in Physiology, vol. 3, article 298, 2012. View at Publisher · View at Google Scholar
  22. T. Arai, K. Lee, and R. J. Cohen, “Cardiac output and stroke volume estimation using a hybrid of three Windkessel models,” in Proceedings of theAnnual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC '10), pp. 4971–4974, September 2010. View at Publisher · View at Google Scholar · View at Scopus
  23. D. Xu, N. Bari Olivier, and R. Mukkamala, “Continuous cardiac output and left atrial pressure monitoring by long time interval analysis of the pulmonary artery pressure waveform: proof of concept in dogs,” Journal of Applied Physiology, vol. 106, no. 2, pp. 651–661, 2009. View at Publisher · View at Google Scholar · View at Scopus
  24. R. Mukkamala, A. T. Reisner, H. M. Hojman, R. G. Mark, and R. J. Cohen, “Continuous cardiac output monitoring by peripheral blood pressure waveform analysis,” IEEE Transactions on Biomedical Engineering, vol. 53, no. 3, pp. 459–467, 2006. View at Publisher · View at Google Scholar · View at Scopus
  25. J. F. Martin, L. B. Volfson, V. V. Kirzon-Zolin, and V. G. Schukin, “Application of pattern recognition and image classification techniques to determine continuous cardiac output from the arterial pressure waveform,” IEEE Transactions on Biomedical Engineering, vol. 41, no. 10, pp. 913–920, 1994. View at Publisher · View at Google Scholar · View at Scopus
  26. J. Marquez, K. McCurry, D. A. Severyn, and M. R. Pinsky, “Ability of pulse power, esophageal Doppler, and arterial pulse pressure to estimate rapid changes in stroke volume in humans,” Critical Care Medicine, vol. 36, no. 11, pp. 3001–3007, 2008. View at Publisher · View at Google Scholar · View at Scopus
  27. V. A. Convertino, W. H. Cooke, and J. B. Holcomb, “Arterial pulse pressure and its association with reduced stroke volume during progressive central hypovolemia,” Journal of Trauma—Injury, Infection and Critical Care, vol. 61, no. 3, pp. 629–634, 2006. View at Publisher · View at Google Scholar · View at Scopus
  28. D. A. Kass, “Ventricular dyssynchrony and mechanisms of resynchronization therapy,” European Heart Journal Supplements, vol. 4, pp. D23–D30, 2002.
  29. R. Bighamian, A. T. Reisner, and J. O. Hahn, “An analytic tool for prediction of hemodynamic responses to vasopressors,” Transactions on Biomedical Engineering, vol. 61, no. 1, pp. 109–118, 2014.
  30. A. T. Reisner, D. Xu, K. L. Ryan, V. A. Convertino, C. A. Rickards, and R. Mukkamala, “Monitoring non-invasive cardiac output and stroke volume during experimental human hypovolaemia and resuscitation,” British journal of anaesthesia, vol. 106, no. 1, pp. 23–30, 2011. View at Scopus
  31. X. Monnet, A. Letierce, O. Hamzaoui et al., “Arterial pressure allows monitoring the changes in cardiac output induced by volume expansion but not by norepinephrine,” Critical Care Medicine, vol. 39, no. 6, pp. 1394–1399, 2011. View at Publisher · View at Google Scholar · View at Scopus
  32. K. K. Varadhan and D. N. Lobo, “A meta-analysis of randomised controlled trials of intravenous fluid therapy in major elective open abdominal surgery: Getting the balance right,” Proceedings of the Nutrition Society, vol. 69, no. 4, pp. 488–498, 2010. View at Publisher · View at Google Scholar · View at Scopus
  33. K. Sagawa, W. L. Maughan, H. Suga, and K. Sunagawa, Cardiac Contraction and the Pressure-Volume Relationship, Oxford University Press, Oxford, UK, 1988.
  34. I. Hay, J. Rich, P. Ferber, D. Burkhoff, and M. S. Maurer, “Role of impaired myocardial relaxation in the production of elevated left ventricular filling pressure,” The American Journal of Physiology—Heart and Circulatory Physiology, vol. 288, no. 3, pp. H1203–H1208, 2005. View at Publisher · View at Google Scholar · View at Scopus
  35. W. P. Santamore and D. Burkhoff, “Hemodynamic consequences of ventricular interaction as assessed by model analysis,” The American Journal of Physiology—Heart and Circulatory Physiology, vol. 260, no. 1, pp. H146–H157, 1991. View at Scopus
  36. H. Piene, “Impedance matching between ventricle and load,” Annals of Biomedical Engineering, vol. 12, no. 2, pp. 191–207, 1984. View at Scopus
  37. D. A. Kass and R. Beyar, “Evaluation of contractile state by maximal ventricular power divided by the square of end-diastolic volume,” Circulation, vol. 84, no. 4, pp. 1698–1708, 1991. View at Scopus
  38. M. S. Maurer, J. D. Sackner-Bernstein, L. E. Yushak et al., “Mechanisms underlying improvements in ejection fraction with carvedilol in heart failure,” Circulation: Heart Failure, vol. 2, no. 3, pp. 189–196, 2009. View at Publisher · View at Google Scholar · View at Scopus
  39. K. E. Kjørstad, C. Korvald, and T. Myrmel, “Pressure-volume-based single-beat estimations cannot predict left ventricular contractility in vivo,” The American Journal of Physiology—Heart and Circulatory Physiology, vol. 282, no. 5, pp. H1739–H1750, 2002. View at Scopus
  40. D. Georgakopoulos, W. A. Mitzner, C. H. Chen et al., “In vivo murine left ventricular pressure-volume relations by miniaturized conductance micromanometry,” The American Journal of Physiology—Heart and Circulatory Physiology, vol. 274, no. 4, pp. H1416–H1422, 1998. View at Scopus
  41. J. C. Reil, G. H. Reil, and M. Böhm, “Heart rate reduction by if-channel inhibition and its potential role in heart failure with reduced and preserved ejection fraction,” Trends in Cardiovascular Medicine, vol. 19, no. 5, pp. 152–157, 2009. View at Publisher · View at Google Scholar · View at Scopus
  42. A. Kumar, R. Anel, E. Bunnell et al., “Effect of large volume infusion on left ventricular volumes, performance and contractility parameters in normal volunteers,” Intensive Care Medicine, vol. 30, no. 7, pp. 1361–1369, 2004. View at Scopus
  43. R. E. Klabunde, Cardiovascular Physiology Concepts, Lippincott Williams & Wilkins, Philadelphia, Pa, USA, 2005.
  44. M. Ursino, “Interaction between carotid baroregulation and the pulsating heart: a mathematical model,” The American Journal of Physiology—Heart and Circulatory Physiology, vol. 275, no. 5, pp. H1733–H1747, 1998. View at Scopus
  45. M. Ursino and E. Magosso, “Short-term autonomic control of cardiovascular function: a mini-review with the help of mathematical models,” Journal of integrative neuroscience, vol. 2, no. 2, pp. 219–247, 2003. View at Scopus
  46. M. Ursino and E. Magosso, “Acute cardiovascular response to isocapnic hypoxia. I. A mathematical model,” The American Journal of Physiology—Heart and Circulatory Physiology, vol. 279, no. 1, pp. H149–H165, 2000. View at Scopus
  47. H. Senzaki, C. H. Chen, and D. A. Kass, “Single-beat estimation of end-systolic pressure-volume relation in humans. A new method with the potential for noninvasive application,” Circulation, vol. 94, no. 10, pp. 2497–2506, 1996.