{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T07:37:27Z","timestamp":1758267447098},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2014,11,28]],"date-time":"2014-11-28T00:00:00Z","timestamp":1417132800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Med Biol Eng Comput"],"published-print":{"date-parts":[[2015,3]]},"DOI":"10.1007\/s11517-014-1228-9","type":"journal-article","created":{"date-parts":[[2014,12,2]],"date-time":"2014-12-02T14:35:04Z","timestamp":1417530904000},"page":"241-251","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Derivation of a simplified relation for assessing aortic root pressure drop incorporating wall compliance"],"prefix":"10.1007","volume":"53","author":[{"given":"Hossein","family":"Mohammadi","sequence":"first","affiliation":[]},{"given":"Raymond","family":"Cartier","sequence":"additional","affiliation":[]},{"given":"Rosaire","family":"Mongrain","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,11,28]]},"reference":[{"key":"1228_CR1","doi-asserted-by":"crossref","first-page":"643","DOI":"10.1007\/BF02446269","volume":"24","author":"P Ask","year":"1986","unstructured":"Ask P, Loyd D, Wranne B (1986) Regurgitant flow through heart valves: a hydraulic model applicable to ultrasound Doppler measurements. Med Biol Eng Comput 24:643\u2013646","journal-title":"Med Biol Eng Comput"},{"key":"1228_CR2","doi-asserted-by":"crossref","first-page":"1268","DOI":"10.1016\/j.jacc.2011.12.053","volume":"60","author":"H Baumgartner","year":"2012","unstructured":"Baumgartner H (2012) Low-flow, low-gradient aortic stenosis with preserved ejection fraction still a challenging condition. J Am Coll Cardiol 60:1268\u20131270","journal-title":"J Am Coll Cardiol"},{"key":"1228_CR3","doi-asserted-by":"crossref","first-page":"1655","DOI":"10.1016\/S0735-1097(99)00066-2","volume":"33","author":"H Baumgartner","year":"1999","unstructured":"Baumgartner H, Stefenelli T, Niederberger J, Schima H, Maurer G (1999) \u201cOverestimation\u201d of catheter gradients by Doppler ultrasound in patients with aortic stenosis: a predictable manifestation of pressure recovery. J Am Coll Cardiol 33:1655\u20131661","journal-title":"J Am Coll Cardiol"},{"key":"1228_CR4","volume-title":"Generalized inverses: theory and applications","author":"A Ben-Israel","year":"2003","unstructured":"Ben-Israel A, Greville TNE (2003) Generalized inverses: theory and applications, 2nd edn. Springer, New York","edition":"2"},{"key":"1228_CR5","first-page":"557","volume":"11","author":"J Bermejo","year":"2002","unstructured":"Bermejo J, Antoranz JC, Burwash IG, Alvarez JL, Moreno M, Garcia-Fernandez MA, Otto CM (2002) In-vivo analysis of the instantaneous transvalvular pressure difference-flow relationship in aortic valve stenosis: implications of unsteady fluid-dynamics for the clinical assessment of disease severity. J Heart Valve Dis 11:557\u2013566","journal-title":"J Heart Valve Dis"},{"key":"1228_CR6","doi-asserted-by":"crossref","first-page":"1949","DOI":"10.1161\/01.CIR.98.18.1949","volume":"98","author":"RO Bonow","year":"1998","unstructured":"Bonow RO, Carabello B, De Leon AC Jr, Edmunds LH Jr, Fedderly BJ, Freed MD, Gaasch WH, McKay CR, Nishimura RA, O\u2019Gara PT, O\u2019Rourke RA, Rahimtoola SH, Ritchie JL, Cheitlin MD, Eagle KA, Gardner TJ, Garson A Jr, Gibbons RJ, Russell RO, Ryan TJ, Smith SC Jr (1998) Guidelines for the management of patients with valvular heart disease: executive summary. A report of the American College of Cardiology\/American Heart Association Task Force on Practice Guidelines (Committee on Management of Patients with Valvular Heart Disease). Circulation 98:1949\u20131984","journal-title":"Circulation"},{"key":"1228_CR7","doi-asserted-by":"crossref","first-page":"1170","DOI":"10.1161\/01.CIR.71.6.1170","volume":"71","author":"SR Cannon","year":"1985","unstructured":"Cannon SR, Richards KL, Crawford M (1985) Hydraulic estimation of stenotic orifice area: a correction of the Gorlin formula. Circulation 71:1170\u20131178","journal-title":"Circulation"},{"key":"1228_CR8","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/s11517-012-0864-1","volume":"50","author":"C Capelli","year":"2012","unstructured":"Capelli C, Bosi GM, Cerri E, Nordmeyer J, Odenwald T, Bonhoeffer P, Migliavacca F, Taylor AM, Schievano S (2012) Patient-specific simulations of transcatheter aortic valve stent implantation. Med Biol Eng Comput 50:183\u2013192","journal-title":"Med Biol Eng Comput"},{"key":"1228_CR9","doi-asserted-by":"crossref","first-page":"158","DOI":"10.1016\/j.jbiomech.2004.10.038","volume":"39","author":"CJ Carmody","year":"2006","unstructured":"Carmody CJ, Burriesci G, Howard IC, Patterson EA (2006) An approach to the simulation of fluid\u2013structure interaction in the aortic valve. J Biomech 39:158\u2013169","journal-title":"J Biomech"},{"key":"1228_CR10","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/j.carpath.2008.01.001","volume":"18","author":"N Choudhury","year":"2009","unstructured":"Choudhury N, Bouchot O, Rouleau L, Tremblay D, Cartier R, Butany J, Mongrain R, Leask RL (2009) Local mechanical and structural properties of healthy and diseased human ascending aorta tissue. Am J Cardiovasc Pathol 18:83\u201391","journal-title":"Am J Cardiovasc Pathol"},{"key":"1228_CR11","doi-asserted-by":"crossref","first-page":"276","DOI":"10.1093\/cvr\/12.5.276","volume":"12","author":"C Clark","year":"1978","unstructured":"Clark C (1978) Relation between pressure difference across the aortic valve and left ventricular outflow. Cardiovasc Res 12:276\u2013287","journal-title":"Cardiovasc Res"},{"key":"1228_CR12","doi-asserted-by":"crossref","first-page":"1684","DOI":"10.1016\/j.jbiomech.2011.03.036","volume":"44","author":"MD Tullio de","year":"2011","unstructured":"de Tullio MD, Afferrante L, Demelio G, Pascazio G, Verzicco R (2011) Fluid\u2013structure interaction of deformable aortic prostheses with a bileaflet mechanical valve. J Biomech 44:1684\u20131690","journal-title":"J Biomech"},{"issue":"41","key":"1228_CR13","doi-asserted-by":"crossref","first-page":"5754","DOI":"10.1016\/j.cma.2005.10.019","volume":"195","author":"W Dettmer","year":"2006","unstructured":"Dettmer W, Peri\u0107 D (2006) A computational framework for fluid\u2013structure interaction: finite element formulation and applications. Comput Methods Appl Mech Eng 195(41):5754\u20135779","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1228_CR14","first-page":"503","volume":"172","author":"PB Dobrin","year":"1991","unstructured":"Dobrin PB (1991) Poststenotic dilatation. Surg Gynecol Obstet 172:503\u2013508","journal-title":"Surg Gynecol Obstet"},{"issue":"1","key":"1228_CR15","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/S0045-7825(97)00216-8","volume":"157","author":"C Farhat","year":"1998","unstructured":"Farhat C, Lesoinne M, Le Tallec P (1998) Load and motion transfer algorithms for fluid\/structure interaction problems with non-matching discrete interfaces: momentum and energy conservation, optimal discretization and application to aeroelasticity. Comput Methods Appl Mech Eng 157(1):95\u2013114","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1228_CR16","doi-asserted-by":"crossref","first-page":"794","DOI":"10.1002\/nme.1792","volume":"69","author":"MA Fern\u00e1ndez","year":"2007","unstructured":"Fern\u00e1ndez MA, Gerbeau JF, Grandmont C (2007) A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid. Int J Numer Meth Eng 69:794\u2013821","journal-title":"Int J Numer Meth Eng"},{"key":"1228_CR17","volume-title":"Biomechanics: circulation","author":"Y Fung","year":"1998","unstructured":"Fung Y (1998) Biomechanics: circulation, 2nd edn. Springer, New York","edition":"2"},{"key":"1228_CR18","doi-asserted-by":"crossref","first-page":"1303","DOI":"10.1016\/j.jbiomech.2004.06.018","volume":"38","author":"D Garcia","year":"2005","unstructured":"Garcia D, Pibarot P, Durand LG (2005) Analytical modeling of the instantaneous pressure gradient across the aortic valve. J Biomech 38:1303\u20131311","journal-title":"J Biomech"},{"key":"1228_CR19","volume-title":"Fundamentals of fluid mechanics","author":"PM Gerhart","year":"1992","unstructured":"Gerhart PM (1992) Fundamentals of fluid mechanics, 2nd edn. Addison-Wesley Pub. Co., Reading","edition":"2"},{"key":"1228_CR20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0002-8703(51)90002-6","volume":"41","author":"R Gorlin","year":"1951","unstructured":"Gorlin R, Gorlin SG (1951) Hydraulic formula for calculation of the area of the stenotic mitral valve, other cardiac valves, and central circulatory shunts I. Am Heart J 41:1\u201329","journal-title":"Am Heart J"},{"key":"1228_CR21","unstructured":"Hallquist JO (2006) LS-DYNA theory manual. Livermore Software Technology Corporation, CA, USA, ISBN 0-9778540-0-0"},{"key":"1228_CR22","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1007\/BF02684181","volume":"24","author":"R Heinrich","year":"1996","unstructured":"Heinrich R, Fontaine A, Grimes R, Sidhaye A, Yang S, Moore K, Levine R, Yoganathan A (1996) Experimental analysis of fluid mechanical energy losses in aortic valve stenosis: importance of pressure recovery. Ann Biomed Eng 24:685\u2013694","journal-title":"Ann Biomed Eng"},{"key":"1228_CR23","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1002\/nme.2659","volume":"80","author":"SR Idelsohn","year":"2009","unstructured":"Idelsohn SR, Del Pin F, Rossi R, O\u00f1ate E (2009) Fluid\u2013structure interaction problems with strong added-mass effect. Int J Numer Methods Eng 80:1261\u20131294","journal-title":"Int J Numer Methods Eng"},{"key":"1228_CR24","doi-asserted-by":"crossref","first-page":"1909","DOI":"10.1016\/j.jbiomech.2009.05.018","volume":"42","author":"G Krishnamurthy","year":"2009","unstructured":"Krishnamurthy G, Itoh A, Bothe W, Swanson JC, Kuhl E, Karlsson M, Craig Miller D, Ingels NB Jr (2009) Stress-strain behavior of mitral valve leaflets in the beating ovine heart. J Biomech 42:1909\u20131916","journal-title":"J Biomech"},{"key":"1228_CR25","doi-asserted-by":"crossref","first-page":"1393","DOI":"10.1098\/rstb.2007.2123","volume":"362","author":"KS Kunzelman","year":"2007","unstructured":"Kunzelman KS, Einstein DR, Cochran RP (2007) Fluid\u2013structure interaction models of the mitral valve: function in normal and pathological states. Philos Trans R Soc Lond B Biol Sci 362:1393\u20131406","journal-title":"Philos Trans R Soc Lond B Biol Sci"},{"key":"1228_CR26","unstructured":"Livermore Software Technology Corporation (LSTC) (2013) Theory manual\u00a0incompressible fluid solver in LS-DYNA, Livermore, CA"},{"key":"1228_CR27","volume-title":"Internal flow systems","author":"DS Miller","year":"1990","unstructured":"Miller DS (1990) Internal flow systems. BHRA (Information Services), Cranfield"},{"issue":"8","key":"1228_CR28","doi-asserted-by":"crossref","first-page":"923","DOI":"10.1007\/s11517-013-1066-1","volume":"51","author":"S Nobari","year":"2013","unstructured":"Nobari S, Mongrain R, Leask R, Cartier R (2013) The effect of aortic wall and aortic leaflet stiffening on coronary hemodynamic: a fluid\u2013structure interaction study. Med Biol Eng Comput 51(8):923\u2013936","journal-title":"Med Biol Eng Comput"},{"key":"1228_CR29","doi-asserted-by":"crossref","first-page":"1076","DOI":"10.1016\/j.amjcard.2004.06.074","volume":"94","author":"MH Olsen","year":"2004","unstructured":"Olsen MH, Wachtell K, Bella JN, Liu JE, Boman K, Gerdts E, Papademetriou V, Nieminen MS, Rokkedal J, Dahlof B, Devereux RB (2004) Effect of losartan versus atenolol on aortic valve sclerosis (a LIFE substudy). Am J Cardiol 94:1076\u20131080","journal-title":"Am J Cardiol"},{"key":"1228_CR30","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.amjcard.2004.08.080","volume":"95","author":"MH Olsen","year":"2005","unstructured":"Olsen MH, Wachtell K, Bella JN, Gerdts E, Palmieri V, Nieminen MS, Smith G, Ibsen H, Devereux RB, LIFE substudy (2005) Aortic valve sclerosis relates to cardiovascular events in patients with hypertension (a LIFE substudy). Am J Cardiol 95:132\u2013136","journal-title":"Am J Cardiol"},{"key":"1228_CR31","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1016\/j.jacc.2003.10.027","volume":"43","author":"CM Otto","year":"2004","unstructured":"Otto CM (2004) Why is aortic sclerosis associated with adverse clinical outcomes? J Am Coll Cardiol 43:176\u2013178","journal-title":"J Am Coll Cardiol"},{"key":"1228_CR32","volume-title":"Cardiovascular physiology: mosby physiology monograph series","author":"AJ Pappano","year":"2012","unstructured":"Pappano AJ, Wier WG (2012) Cardiovascular physiology: mosby physiology monograph series, 10th edn. Elsevier\u00a0Mosby, Philadelphia","edition":"10"},{"key":"1228_CR33","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1510\/icvts.2005.121483","volume":"5","author":"A Ranga","year":"2006","unstructured":"Ranga A, Bouchot O, Mongrain R, Ugolini P, Cartier R (2006) Computational simulations of the aortic valve validated by imaging data: evaluation of valve-sparing techniques. Interact CardioVasc Thorac Surg 5:373\u2013378","journal-title":"Interact CardioVasc Thorac Surg"},{"key":"1228_CR34","doi-asserted-by":"crossref","first-page":"811","DOI":"10.1016\/S0735-1097(85)80418-6","volume":"5","author":"J Ross Jr","year":"1985","unstructured":"Ross J Jr (1985) Afterload mismatch in aortic and mitral valve disease: implications for surgical therapy. J Am Coll Cardiol 5:811\u2013826","journal-title":"J Am Coll Cardiol"},{"key":"1228_CR35","volume-title":"Boundary layer theory","author":"H Schlichting","year":"1960","unstructured":"Schlichting H (1960) Boundary layer theory, 4th edn. McGraw Hill, New York","edition":"4"},{"key":"1228_CR36","unstructured":"Shavelle D, Otto C (2000) Aortic stenosis. In: Crawford MH, Dimarco JP (eds) Cardiology.\u00a0Mosby, London, pp 9.1\u20139.10"},{"key":"1228_CR37","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1007\/BF02446146","volume":"28","author":"SA Sl\u00f8rdahl","year":"1990","unstructured":"Sl\u00f8rdahl SA, Solbakken JE, Piene H, Angelsen BAJ, Rossvoll O, Samstad SO (1990) Quantification of aortic regurgitation by Doppler echocardiography: a new method evaluated in pigs. Med Biol Eng Comput 28:300\u2013305","journal-title":"Med Biol Eng Comput"},{"key":"1228_CR38","doi-asserted-by":"crossref","first-page":"792","DOI":"10.1161\/01.RES.47.5.792","volume":"47","author":"M Thubrikar","year":"1980","unstructured":"Thubrikar M, Piepgrass WC, Bosher LP, Nolan SP (1980) The elastic modulus of canine aortic valve leaflets in vivo and in vitro. Circ Res 47:792\u2013800","journal-title":"Circ Res"},{"key":"1228_CR39","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/0021-9290(73)90099-7","volume":"6","author":"DF Young","year":"1973","unstructured":"Young DF, Tsai FY (1973) Flow characteristics in models of arterial stenoses I. Steady flow. J Biomech 6:395\u2013410","journal-title":"J Biomech"},{"key":"1228_CR40","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1016\/0021-9290(73)90012-2","volume":"6","author":"DF Young","year":"1973","unstructured":"Young DF, Tsai FY (1973) Flow characteristics in models of arterial stenoses II. Unsteady flow. J Biomech 6:547\u2013559","journal-title":"J Biomech"}],"container-title":["Medical & Biological Engineering & Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-014-1228-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11517-014-1228-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-014-1228-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T16:10:27Z","timestamp":1559405427000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11517-014-1228-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,28]]},"references-count":40,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,3]]}},"alternative-id":["1228"],"URL":"https:\/\/doi.org\/10.1007\/s11517-014-1228-9","relation":{},"ISSN":["0140-0118","1741-0444"],"issn-type":[{"value":"0140-0118","type":"print"},{"value":"1741-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,11,28]]}}}