Cardiac cycle; Cardiovascular system model; Mitral insufficiency; Mitral valve; Valve dynamics; Cardiac cycles; Cardiovascular system models; Mitral valves; Mathematical models; Cardiovascular system
Abstract :
[en] A cardiovascular and circulatory system (CVS) model has been validated in silico, and in several animal model studies. It accounts for valve dynamics using Heaviside functions to simulate a physiologically accurate "open on pressure, close on flow" law. Thus, it does not consider the real time scale of the valve aperture dynamics, and therefore does not fully capture valve dysfunction, particularly where the dysfunction involves partial closure. This research describes a new closed-loop CVS model, including a description of the progressive aperture of the mitral valve, and is valid over the full cardiac cycle. This new model is solved for a healthy and diseased mitral valve.
Disciplines :
Cardiovascular & respiratory systems
Author, co-author :
Paeme, Serge ; Université de Liège - ULiège > Département d'Astrophysique, géophysique et océanographie > Thermodynamique des phénomènes irréversibles
Moorhead, K.; Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand
Chase, J. G.; Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand
Hann, C. E.; Cardiovascular Research Center, University of Liege, Liege, Belgium
Lambermont, Bernard ; Université de Liège - ULiège > Département des sciences cliniques > Département des sciences cliniques
Kolh, Philippe ; Université de Liège - ULiège > Département des sciences biomédicales et précliniques > Biochimie et physiologie générales, humaines et path.
Moonen, Marie ; Centre Hospitalier Universitaire de Liège - CHU > Service de cardiologie
Lancellotti, Patrizio ; Université de Liège - ULiège > Département des sciences cliniques > Imagerie cardiaque fonctionnelle par échographie
Dauby, Patrick ; Université de Liège - ULiège > Département de Biologie, Ecologie et Evolution > Systématique et diversité animale
Desaive, Thomas ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles
Language :
English
Title :
Mathematical model of the mitral valve and the cardiovascular system Application for studying and monitoring valvular pathologies
Burkhoff, D., Alexander, J. & Schipke, J. 1988. Assessment of Windkessel as a Model of Aortic Input Impedance. American Journal of Physiology, 255, H742-H753.
Desaive, T., Ghuysen, A., Lambermont, B., Kolh, P., and Dauby., P. C., Starfinger, C., Hann, C. E., Chase, J. & Shaw, G. M. 2007. Study of ventricular interaction during pulmonary embolism using clinical identification in a minimum cardiovascular system model. Conf Proc IEEE Eng Med Biol Soc, 2007, 2976-9.
Desaive, T., Lambermont, B., Ghuysen, A., Kolh, P., and Dauby., P. C., Starfinger, C., Hann, C. E., Chase, J. G. & Shaw, G. M. 2008. Cardiovascular Modelling and Identification in Septic Shock - Experimental validation. Proceedings of the 17th IFAC World Congress July 6-11, 2008, Seoul, Korea.
Franck, C. F. & Waite, L. 2002. Mathematical model of a variable aperture mitral valve. Biomedical Sciences Instrumentation, 38, 327-31.
Hann, C. E., Chase, J. G. & Shaw, G. M. 2005. Efficient implementation of non-linear valve law and ventricular interaction dynamics in the minimal cardiac model. Computer Methods and Programs in Biomedicine, 80, 65-74.
Hunter, P. J., Nielsen, P. M. F., Smaill, B. H., Legrice, I. J. & Hunter, I. W. 1992. An Anatomical Heart Model with Applications to Myocardial Activation and Ventricular Mechanics. Critical Reviews in Biomedical Engineering, 20, 403-&.
Kerckhoffs, R. C. P., and Neal., M. L., Gu, Q., Bassingthwaighte, J. B., Omens, J. H. & McCulloch, A. D. 2007. Coupling of a 3D finite element model of cardiac ventricular mechanics to lumped systems models of the systemic and pulmonic circulation. Annals of Biomedical Engineering, 35, 1-18.
Lancellotti, P. 2004-2005. L'insuffisance mitrale dynamique: le rôle de l'échocardiographie d'effort. PhD, Université de Liège.
Olansen, J. B., and Clark., J. W., Khoury, D., Ghorbel, F. & Bidani, A. 2000. A closed-loop model of the canine cardiovascular system that includes ventricular interaction. Computers and Biomedical Research, 33, 260-95.
Raff, U., and Culclasure., T. F., Clark, C., Overturf, L. & Groves, B. M. 2000. Computerized left ventricular pressure-volume relationships (pv-loops) using disposable angiographic tip transducer pigtail catheters. International Journal of Cardiac Imaging.
Saito, S., Araki, Y., Usui, A., Akita, T., Oshima, H., Yokote, J. & Ueda, Y. 2006. Mitral valve motion assessed by high-speed video camera in isolated swine heart. Eur J Cardiothorac Surg, 30, 584-91.
Shim, E. B., and Jun., H. M., Leem, C. H., Matusuoka, S. & Noma, A. 2008. A new integrated method for analyzing heart mechanics using a cell-hemodynamics-autonomic nerve control coupled model of the cardiovascular system. Progress in Biophysics and Molecular Biology, 96, 44-59.
Smith, B. W., and Chase., J. G., Nokes, R. I., Shaw, G. M. & Wake, G. 2004. Minimal haemodynamic system model including ventricular interaction and valve dynamics. Medical Engineering and Physics, 26, 131-9.
Smith, B. W., Geoffrey Chase, J., Shaw, G. M. & Nokes, R. I. 2005. Experimentally verified minimal cardiovascular system model for rapid diagnostic assistance. Control Engineering Practice, 13, 1183-1193.
Starfinger, C., and Chase., J. G., Hann, C. E., Shaw, G. M., Lambermont, B., Ghuysen, A., Kolh, P., Dauby, P. C. & Desaive, T. 2008a. Model-based identification and diagnosis of a porcine model of induced endotoxic shock with hemofiltration. Mathematical Biosciences, 216, 132-9.
Starfinger, C., and Chase., J. G., Hann, C. E., Shaw, G. M., Lambert, P., and Smith., B. W., Sloth, E., Larsson, A., Andreassen, S. & Rees, S. 2008b. Model-based identification of PEEP titrations during different volemic levels. Computer Methods and Programs in Biomedicine, 91, 135-144.
Starfinger, C., and Hann., C. E., Chase, J. G., Desaive, T., Ghuysen, A. & Shaw, G. M. 2007. Model-based cardiac diagnosis of pulmonary embolism. Computer Methods and Programs in Biomedicine, 87, 46-60.
Szabó, G., Soans, D., Graf, A., J. Beller, C., Waite, L. & Hagl, S. 2004. A new computer model of mitral valve hemodynamics during ventricular filling. European Journal of Cardio-Thoracic Surgery, 26, 239-247.
Thomas, J. D. & Weyman, A. E. 1989. Fluid dynamics model of mitral valve flow: description with in vitro validation. Journal of the American College of Cardiology, 13, 221-33.
Waite, L. & Fine, J. M. 2007. Applied biofluid mechanics, New York, McGraw-Hill.
Waite, L., Schulz, S., Szabo, G. & Vahl, C. F. 2000. A lumped parameter model of left ventricular filling-pressure waveforms. Biomedical Sciences Instrumentation, 36, 75-80.
