{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,14]],"date-time":"2026-10-14T11:52:27Z","timestamp":1791978747439,"version":"4.4.0"},"reference-count":41,"publisher":"American Physiological Society","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["American Journal of Physiology-Heart and Circulatory Physiology"],"published-print":{"date-parts":[[2005,4]]},"abstract":"<jats:p>\n                    In patients with aortic stenosis, the left ventricular afterload is determined by the degree of valvular obstruction and the systemic arterial system. We developed an explicit mathematical model formulated with a limited number of independent parameters that describes the interaction among the left ventricle, an aortic stenosis, and the arterial system. This ventricular-valvular-vascular (V\n                    <jats:sup>3<\/jats:sup>\n                    ) model consists of the combination of the time-varying elastance model for the left ventricle, the instantaneous transvalvular pressure-flow relationship for the aortic valve, and the three-element windkessel representation of the vascular system. The objective of this study was to validate the V\n                    <jats:sup>3<\/jats:sup>\n                    model by using pressure-volume loop data obtained in six patients with severe aortic stenosis before and after aortic valve replacement. There was very good agreement between the estimated and the measured left ventricular and aortic pressure waveforms. The total relative error between estimated and measured pressures was on average (standard deviation) 7.5% (SD 2.3) and the equation of the corresponding regression line was y = 0.99 x \u2212 2.36 with a coefficient of determination r\n                    <jats:sup>2<\/jats:sup>\n                    = 0.98. There was also very good agreement between estimated and measured stroke volumes ( y = 1.03 x + 2.2, r\n                    <jats:sup>2<\/jats:sup>\n                    = 0.96, SEE = 2.8 ml). Hence, this mathematical V\n                    <jats:sup>3<\/jats:sup>\n                    model can be used to describe the hemodynamic interaction among the left ventricle, the aortic valve, and the systemic arterial system.\n                  <\/jats:p>","DOI":"10.1152\/ajpheart.00754.2004","type":"journal-article","created":{"date-parts":[[2004,12,16]],"date-time":"2004-12-16T20:23:58Z","timestamp":1103228638000},"page":"H1874-H1884","source":"Crossref","is-referenced-by-count":53,"title":["A ventricular-vascular coupling model in presence of aortic stenosis"],"prefix":"10.1152","volume":"288","author":[{"given":"Damien","family":"Garcia","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Paul J. C.","family":"Barenbrug","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Philippe","family":"Pibarot","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Andr\u00e9 L. A. J.","family":"Dekker","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Frederik H.","family":"van der Veen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jos G.","family":"Maessen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jean G.","family":"Dumesnil","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Louis-Gilles","family":"Durand","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"24","reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1161\/01.HYP.0000070029.30058.59"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/S0002-9149(01)01584-3"},{"key":"R3","unstructured":"Briand M\n                      , Dumesnil JG, Kadem L, Tongue AG, Rieu R, Garcia D, and Pibarot P.\n                      Reduced systemic arterial compliance impacts significantly on LV afterload and function in aortic stenosis: implications for diagnosis and treatment.\n                      J Am Coll Cardiol.\n                      In press."},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-5223(98)70013-3"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1067\/mje.2002.120287"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1016\/S0735-1097(03)00786-1"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1152\/ajpheart.1998.274.2.H500"},{"key":"R8","unstructured":"Cohn JN\n                      .\n                      Arterial compliance to stratify cardiovascular risk: more precision in therapeutic decision making.\n                      Am J Hypertens\n                      14\n                      : 258S\u2013263S, 2001."},{"key":"R9","unstructured":"Dekker AL\n                      , Barenbrug PJ, van der Veen FH, Roekaerts P, Mochtar B, and Maessen JG.\n                      Pressure-volume loops in patients with aortic stenosis.\n                      J Heart Valve Dis\n                      12\n                      : 325\u2013332, 2003."},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1152\/ajpheart.1991.261.4.H1026"},{"key":"R11","unstructured":"Garcia D\n                      , Dumesnil JG, Durand LG, Kadem L, and Pibarot P.\n                      Discrepancies between catheter and Doppler estimates of valve effective orifice area can be predicted from the pressure recovery phenomenon: practical implications with regard to quantification of aortic stenosis severity.\n                      J Am Coll Cardiol\n                      41\n                      : 435\u2013442, 2003."},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1161\/01.CIR.101.7.765"},{"key":"R13","unstructured":"Garcia D\n                      , Pibarot P, and Durand LG.\n                      Analytical modeling of the instantaneous pressure gradient across the aortic valve.\n                      J Biomech\n                      doi:101016\/jjbiomech.2004.06.018: 2005."},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1161\/01.CIR.77.6.1203"},{"key":"R15","doi-asserted-by":"publisher","DOI":"10.1152\/ajpheart.00638.2001"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1161\/01.CIR.70.6.1057"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623496303470"},{"key":"R18","doi-asserted-by":"publisher","DOI":"10.1016\/S0010-4825(97)00027-9"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1093\/cvr\/16.11.646"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1161\/01.CIR.0000027621.26167.5E"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1152\/ajpheart.1993.265.3.H910"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.3949\/ccjm.70.5.471"},{"key":"R23","unstructured":"Pate GE\n                      .\n                      Association between aortic stenosis and hypertension.\n                      J Heart 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