Medical Engineering & Physics
Volume 28, Issue 8 , Pages 762-779 , October 2006

Effects of atrial contraction, atrioventricular interaction and heart valve dynamics on human cardiovascular system response

Received 8 March 2005 ,Revised 29 September 2005 ,Accepted 15 November 2005.

References 

  1. Baccani B, Domenichini F, Pedrizzetti G, Tonti G. Fluid dynamics of the ventricular filling in dilated cardiomyopathy. J Biomech. 2002;35:665–671
  2. Cacciola G, Peters GWM, Schreurs PJG. A three-dimensional mechanical analysis of a stentless fibre-reinforced aortic valve prothesis. J Biomech. 2000;33:521–530
  3. Shi YB, Zhao Y, Yeo JH, Hwang NHC. Numerical simulation of opening process in a bileaflet mechanical heart valve under pulsitle flow condition. J Heart Valve Dis. 2003;12:245–256
  4. Einav S, Aharoni S, Manoach M. Exponentially tapered transmission line model of the arterial system. IEEE Trans Biomed Eng. 1988;35(5):333–339
  5. Nichols WW, OR̀ourke MF. McDonald's blood flow in Arteries: theoretical, experimental and clinical principles. 3rd ed.. Edward Arnold; 1990;
  6. Noordergraaf A. Circulatory system dynamics. Academic Press; 1978;
  7. Sharp MK, Dharmalingam RK. Development of a hydraulic model of the human systemic circulation. ASAIO J. 1999;45:334–338
  8. Barnea O, Moore TW, Dubin SE, Jaron D. Cardiac energy considerations during intraaortic ballon pumping. IEEE Trans Biomed Eng. 1990;37(2):170–181
  9. Lu K, Clark JW, GhorBel FH, Ware DL, Bidani A. A human cardiopulmonary system model applied to the analysis of the valsalva maneuver. Am J Phys (Heart Circ Phys). 2001;281:H2661–H2679
  10. Berger DS, Li JK-J. Temporal relation between left ventricular and arterial system elastances. IEEE Trans Biomed Eng. 1992;39(4):404–410
  11. Li JK-J, Cui T, Drzewiecki GM. A nonlinear model of the arterial system incorporating a pressure-dependent compliance. IEEE Trans Biomed Eng. 1990;37(7):673–678
  12. Brown DJ. Input impedance and reflection coefficient in fractal-like models of asymmetrically branching compliant tubes. IEEE Trans Biomed Eng. 1996;43(7):715–722
  13. Grasman J, Brascamp JW, Van Leeuwen JL, Van Putten B. The multifractal structure of arterial trees. J Theor Biol. 2003;220:75–82
  14. Suga H, Sagawa K, Shoukas AA. Load independence of the instantaneous pressure–volume ratio of the canine left ventricle and effects of epinephrine and heart rate on the ratio. Circ Res. 1973;XXXII:314–322
  15. Ursino M. Interaction between carotid baroregulation and the pulsating heart: a mathematical model. Am J Phys (Heart Circ Phys). 1998;275(44):H1733–H1747
  16. Barnea O. Mathematical analysis of coronary autoregulation and vascular reserve in closed-loop circulation. Comput Biomed Res. 1994;27:261–275
  17. Burkhoff D, Alexander J, Schipke J. Assessment of windkessel as a model of aortic input impedance. Am J Phys (Heart Circ Phys). 1988;255(24):H742–H753
  18. Drzewiecki G, Wang J-J, Li JK-J, Kedem J, Weiss H. Modeling of mechanical dysfunction in regional stunned myocardium of the left ventricle. IEEE Trans Biomed Eng. 1996;43(12):1151–1163
  19. Heldt T, Shim EB, Kamm RD, Mark RG. Computational modeling of cardiovascular response to orthostatic stress. J Appl Phys. 2002;92:1239–1254
  20. Olansen JB, Clark JW, Khoury D, Ghorbel F, Bidani A. A closed-loop model of the canine cardiovascular system that includes ventricular interaction. Comput Biomed Res. 2000;33:260–295
  21. Pennati G, Migliavacca F, Dubini G, Pietrabissa R, de leval Marc R. A mathematical model of circulation in the presence of the bidirectional cavopulmonary anastomosis in children with a univentricular heart. Med Eng Phys. 1997;19(3):223–234
  22. Santamore WP, Burkhoff D. Hemodynamic consequences of ventricular interaction as assessed by model analysis. Am J Phys (Heart Circ Phys). 1991;260(29):H146–H157
  23. Sun Y, Beshara M, Lucariello RJ, Chiaramida SA. A comprehensive model for right–left heart interaction under the influence of pericardium and baroreflex. Am J Phys (Heart Circ Phys). 1997;272(41):H1499–H1515
  24. Thomas JD, Zhou J, Greenberg N, Bibawy G, McCarthy PM, VanDervoort PM. Physical and physiological determinants of pulmonary venous flow: numerical analysis. Am J Phys (Heart Circ Phys). 1997;272(41):H2453–H2465
  25. Ursino M. A mathematical model of the carotid baroregulation in pulsating conditions. IEEE Trans Biomed Eng. 1999;46(4):382–392
  26. Ursino M, Magosso E. Role of short-term cardiovascular regulation in heart period variability: a model study. Am J Phys (Heart Circ Phys). 2003;284:H1479–H1493
  27. Vollkron M, Shima H, Huber L, Wieselthaler G. Interaction of the cardiovascular system with an implanted rotary assist device: simulation study with a refined computer model. Artif Organs. 2002;26(4):349–359
  28. Yaku H, Goto Y, Futaki S, Ohgoshi Y, Kawaguchi O, Sugu H. Multicompartment model for mechanics and energetics of fibrillating ventricle. Am J Phys (Heart Circ Phys). 1991;260(29):H292–H299
  29. Ursino M, Fiorenzi A, Belardinelli E. The role of pressure pulsatility in the carotid baroreflex control: a computer simulation study. Comput Biol Med. 1996;26(4):297–314
  30. Ursino M, Magosso E. Acute cardiovascular response to isocapnic hypoxia. i. A mathematical model. Am J Phys (Heart Circ Phys). 2000;279:H149–H156
  31. Ursino M, Magosso E. Acute cardiovascular response to isocapnic hypoxia. ii. Model validation. Am J Phys (Heart Circ Phys). 2000;279:H166–H175
  32. Pennati G, Bellotti M, Fumerco R. Mathematical modelling of the human foetal cardiovascular system based on doppler ultrasound data. Med Eng Phys. 1997;19(4):327–335
  33. Zacacek M, Krause E. Numerical simulation of the blood flow in the human cardiovascular system. J Biomech. 1996;19(1):13–20
  34. Werner J, Böhringer D, Hexamer M. Simulation and prediction of cardiotherapeutical phenomena from a pulsatile model coupled to the Guyton circulation model. IEEE Trans Biomed Eng. 2002;49(5):430–439
  35. Korakianitis T, Grandia L. Optimized pulsatile flow ventricular assistance device and total artificial heart. US Patent 6,632,169 B2 (October 14, 2003).
  36. Kilner PJ, Yang G-Z, Wilkes AJ, Mohladdin RH, Firmin DN, Yacoub MH. Asymmetric redirection of flow through the heart. Nature. 2000;404:759–761
  37. Power HM. Models of electrical and mechanical activity in the heart. In:  Linkens DA editors. Biological systems, modelling and control. IEE Control Engineering Series 11, Peter Peregrinus Ltd., on behalf of the Institution of Electrical Engineers; 1979;Chapter 4
  38. Korakianitis T, Shi Y. A concentrated parameter model for the human cardiovascular system including heart valve dynamics and atrioventricular interaction. Med Eng Phys. 2006;28(7):613–628
  39. Guyton AC. Textbook of medical physiology. W.B. Saunders Company; 1986;
  40. West JB. Best and Taylor's physiological basis of medical practice. 12th ed.. Williams & Wilkins; 1990;
  41. Berne RM, Levy MN. Cardiovascular physiology. 4th ed.. The C.V. Mosby Company; 1981;
  42. Boron WF, Boulpaep EL. Medical physiology: a cellular and molecular approach. Saunders; 2003;
  43. Sohn D-W, Chai I-H, Lee D-J, Kim H-C, Kim H-S, Oh B-H, et al. Assessment of mitral annulus velocity by doppler tissue imaging in the evaluation of left ventricular diastolic function. J Am Coll Cardiol. 1997;30:474–480
  44. Timmis AD, Nathan AW, Sullivan ID. Essential cardiology. 3rd ed.. Blackwell Science; 1997;
  45. Perloff JK. Physical examination of the heart and circulation. 3rd ed.. W.B. Saunders Company; 2000;
  46. Nageh MF, Kopelen HA, Zoghbi WA, Quiñones MA, Nahueh SF. Estimation of mean right atrial pressure using tissue doppler imaging. Am J Cardiol. 1999;84:1448–1451

PII: S1350-4533(05)00247-X

doi: 10.1016/j.medengphy.2005.11.005

Medical Engineering & Physics
Volume 28, Issue 8 , Pages 762-779 , October 2006