Characterization of Mitral Valve Annular Dynamics in the Beating Heart

The objective of this study is to establish a mathematical characterization of the mitral valve annulus that allows a precise qualitative and quantitative assessment of annular dynamics in the beating heart. We define annular geometry through 16 miniature markers sewn onto the annuli of 55 sheep. Using biplane videofluoroscopy, we record marker coordinates in vivo. By approximating these 16 marker coordinates through piecewise cubic splines, we generate a smooth mathematical representation of the 55 mitral annuli. We time-align these 55 annulus representations with respect to characteristic hemodynamic time points to generate an averaged baseline annulus representation. To characterize annular physiology, we extract classical clinical metrics of annular form and function throughout the cardiac cycle. To characterize annular dynamics, we calculate displacements, strains, and curvature from the discrete mathematical representations. To illustrate potential future applications of this approach, we create rapid prototypes of the averaged mitral annulus at characteristic hemodynamic time points. In summary, this study introduces a novel mathematical model that allows us to identify temporal, regional, and inter-subject variations of clinical and mechanical metrics that characterize mitral annular form and function. Ultimately, this model can serve as a valuable tool to optimize both surgical and interventional approaches that aim at restoring mitral valve competence.

[1]  Julia C. Swanson,et al.  Effects of different annuloplasty rings on anterior mitral leaflet dimensions. , 2010, The Journal of thoracic and cardiovascular surgery.

[2]  Xiangmin Jiao,et al.  Fluid–structure interactions of the mitral valve and left heart: Comprehensive strategies, past, present and future , 2010, International journal for numerical methods in engineering.

[3]  Julia C. Swanson,et al.  Anterior mitral leaflet curvature in the beating ovine heart: a case study using videofluoroscopic markers and subdivision surfaces , 2010, Biomechanics and modeling in mechanobiology.

[4]  M. Bourgeois,et al.  Size and motion of the mitral valve annulus in anesthetized intact dogs. , 1971, Journal of applied physiology.

[5]  J. Hammon,et al.  Anterior leaflet augmentation for ischemic mitral regurgitation. , 2004, The Annals of thoracic surgery.

[6]  A. Yoganathan,et al.  Effects of a Saddle Shaped Annulus on Mitral Valve Function and Chordal Force Distribution: An In Vitro Study , 2003, Annals of Biomedical Engineering.

[7]  Joseph H. Gorman,et al.  In Vivo Dynamic Deformation of the Mitral Valve Annulus , 2009, Annals of Biomedical Engineering.

[8]  R. Gibbons,et al.  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) , 1998 .

[9]  A. Carpentier [Reconstructive valvuloplasty. A new technique of mitral valvuloplasty]. , 1969, La Presse medicale.

[10]  Alberto Redaelli,et al.  Mitral valve finite element modeling: implications of tissues' nonlinear response and annular motion. , 2009, Journal of biomechanical engineering.

[11]  D. C. Miller,et al.  Effects of different annuloplasty ring types on mitral leaflet tenting area during acute myocardial ischemia. , 2011, The Journal of thoracic and cardiovascular surgery.

[12]  Robert C Gorman,et al.  The effect of regional ischemia on mitral valve annular saddle shape. , 2004, The Annals of thoracic surgery.

[13]  Paul Dagum,et al.  Tachycardia-induced cardiomyopathy in the ovine heart: mitral annular dynamic three-dimensional geometry. , 2003, The Journal of thoracic and cardiovascular surgery.

[14]  A. Redaelli,et al.  Dynamic finite element analysis of the aortic root from MRI-derived parameters. , 2010, Medical engineering & physics.

[15]  Ajit P Yoganathan,et al.  A saddle-shaped annulus reduces systolic strain on the central region of the mitral valve anterior leaflet. , 2007, The Journal of thoracic and cardiovascular surgery.

[16]  A. Carpentier,et al.  Cardiac valve surgery--the "French correction". , 1983, The Journal of thoracic and cardiovascular surgery.

[17]  Julia C. Swanson,et al.  How do annuloplasty rings affect mitral leaflet dynamic motion? , 2010, European journal of cardio-thoracic surgery : official journal of the European Association for Cardio-thoracic Surgery.

[18]  K S Kunzelman,et al.  Flexible versus rigid ring annuloplasty for mitral valve annular dilatation: a finite element model. , 1998, The Journal of heart valve disease.

[19]  Neil B. Ingels,et al.  Coordinate-Free Analysis of Mitral Valve Dynamics in Normal and Ischemic Hearts , 2000, Circulation.

[20]  Serdar Göktepe,et al.  In vivo dynamic strains of the ovine anterior mitral valve leaflet. , 2011, Journal of biomechanics.

[21]  G Bashein,et al.  Three-dimensional echocardiographic assessment of annular shape changes in the normal and regurgitant mitral valve. , 2000, American heart journal.

[22]  F. Bowen,et al.  Effect of Annular Shape on Leaflet Curvature in Reducing Mitral Leaflet Stress , 2002, Circulation.

[23]  R. Pai,et al.  Usefulness of systolic excursion of the mitral anulus as an index of left ventricular systolic function. , 1991, The American journal of cardiology.

[24]  Alberto Redaelli,et al.  3-D computational analysis of the stress distribution on the leaflets after edge-to-edge repair of mitral regurgitation. , 2002, The Journal of heart valve disease.

[25]  M A Niczyporuk,et al.  Automatic tracking and digitization of multiple radiopaque myocardial markers. , 1991, Computers and biomedical research, an international journal.

[26]  A F Bolger,et al.  Three-dimensional regional dynamics of the normal mitral anulus during left ventricular ejection. , 1996, The Journal of thoracic and cardiovascular surgery.

[27]  Eiji Toyota,et al.  Mitral Annulus Flattens in Ischemic Mitral Regurgitation: Geometric Differences Between Inferior and Anterior Myocardial Infarction: A Real-Time 3-Dimensional Echocardiographic Study , 2005, Circulation.

[28]  C. R. Deboor,et al.  A practical guide to splines , 1978 .

[29]  Philip Batchelor,et al.  3D Medical Imaging , 2012, 3D Imaging, Analysis and Applications.

[30]  Arash Kheradvar,et al.  On Mitral Valve Dynamics and its Connection to Early Diastolic Flow , 2008, Annals of Biomedical Engineering.

[31]  Yipeng Li,et al.  Diffeomorphic Matching and Dynamic Deformable Surfaces in 3d Medical Imaging , 2010, Comput. Methods Appl. Math..

[32]  Daniel B Ennis,et al.  Material properties of the ovine mitral valve anterior leaflet in vivo from inverse finite element analysis. , 2008, American journal of physiology. Heart and circulatory physiology.

[33]  M. Antunes,et al.  Mitral valve repair: better than replacement , 2006, Heart.

[34]  J. Marshall,et al.  Three-dimensional echocardiographic reconstruction of the mitral valve, with implications for the diagnosis of mitral valve prolapse. , 1989, Circulation.

[35]  Arash Kheradvar,et al.  Influence of Ventricular Pressure Drop on Mitral Annulus Dynamics Through the Process of Vortex Ring Formation , 2007, Annals of Biomedical Engineering.

[36]  M. Enriquez-Sarano,et al.  Chapter 76 – Mitral Regurgitation , 2009 .

[37]  R C Gorman,et al.  Dynamic three-dimensional imaging of the mitral valve and left ventricle by rapid sonomicrometry array localization. , 1996, The Journal of thoracic and cardiovascular surgery.

[38]  Javier Echávarri Otero,et al.  Development of Personalized Annuloplasty Rings: Combination of CT Images and CAD-CAM Tools , 2010, Annals of Biomedical Engineering.

[39]  C. Tei,et al.  Size and Motion of the Mitral Valve Annulus in Man: I. A Two‐dimensional Echocardiographic Method and Findings in Normal Subjects , 1981, Circulation.

[40]  H. Yamawaki,et al.  Losartan Metabolite EXP3179 Activates Akt and Endothelial Nitric Oxide Synthase via Vascular Endothelial Growth Factor Receptor-2 in Endothelial Cells: Angiotensin II Type 1 Receptor–Independent Effects of EXP3179 , 2005, Circulation.

[41]  P. Dagum,et al.  Mitral annular size and shape in sheep with annuloplasty rings. , 1999, The Journal of thoracic and cardiovascular surgery.

[42]  R A Levine,et al.  The relationship of mitral annular shape to the diagnosis of mitral valve prolapse. , 1987, Circulation.

[43]  Gabriel Acevedo-Bolton,et al.  First finite element model of the left ventricle with mitral valve: insights into ischemic mitral regurgitation. , 2010, The Annals of thoracic surgery.

[44]  K. Tamura,et al.  Healing of wound sutures on the mitral valve: an experimental study , 2007, General thoracic and cardiovascular surgery.

[45]  A. Yoganathan,et al.  Mitral Valve Function and Chordal Force Distribution Using a Flexible Annulus Model: An In Vitro Study , 2005, Annals of Biomedical Engineering.

[46]  A. Carpentier La valvuloplastie reconstructive. Une nouvelle technique de valvuloplastie mitrale. , 1969 .

[47]  C. Jones,et al.  Functional importance of the long axis dynamics of the human left ventricle. , 1990, British heart journal.

[48]  A. Yoganathan,et al.  Saddle shape of the mitral annulus reduces systolic strains on the P2 segment of the posterior mitral leaflet. , 2009, The Annals of thoracic surgery.

[49]  S. Göktepe,et al.  Anterior Mitral Leaflet Curvature During the Cardiac Cycle in the Normal Ovine Heart , 2010, Circulation.

[50]  G Bashein,et al.  Three-dimensional measurement of the mitral annulus by multiplane transesophageal echocardiography: in vitro validation and in vivo demonstration. , 1998, Journal of the American Society of Echocardiography : official publication of the American Society of Echocardiography.

[51]  Khee Hiang Lim,et al.  Dynamic balance of the aortomitral junction. , 2002, The Journal of thoracic and cardiovascular surgery.

[52]  P. Dagum,et al.  Deformational dynamics of the aortic root: modes and physiologic determinants. , 1999, Circulation.

[53]  A. Bolger,et al.  Most ovine mitral annular three-dimensional size reduction occurs before ventricular systole and is abolished with ventricular pacing. , 1997, Circulation.

[54]  Serdar Göktepe,et al.  Rigid, Complete Annuloplasty Rings Increase Anterior Mitral Leaflet Strains in the Normal Beating Ovine Heart , 2010, Circulation.

[55]  Jun Kwan,et al.  Geometric Differences of the Mitral Apparatus Between Ischemic and Dilated Cardiomyopathy With Significant Mitral Regurgitation: Real-Time Three-Dimensional Echocardiography Study , 2002, Circulation.