Mechanics of the mitral valve: A critical review, an in vivo parameter identification, and the effect of prestrain

Biomechanics and Modeling in Mechanobiology

Volumn 12, Issue 5, 2013, Pages 1053-1071

  Rausch, Manuel K ^a   Famaey, Nele ^b   Shultz, Tyler O'Brien ^a   Bothe, Wolfgang ^c   Miller, D Craig ^d   Kuhl, Ellen ^d  

^a Stanford University   (United States)

^b UNIVERSITY OF LEUVEN   (Belgium)

^c FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^d STANFORD UNIVERSITY   (United States)

Author keywords

Constitutive modeling; Inverse finite element analysis; Mitral valve; Parameter identification; Prestrain; Sensitivity analysis

Indexed keywords

ANISOTROPY; CONSTITUTIVE MODELS; FINITE ELEMENT METHOD; INVERSE PROBLEMS; PARAMETER ESTIMATION; PHYSIOLOGICAL MODELS; PHYSIOLOGY; STIFFNESS;

ANISOTROPIC MODELS; CONSTITUTIVE MODELING; CRITICAL REVIEW; IN-VIVO; INVERSE FINITE ELEMENT ANALYSIS; MATERIALS PARAMETERS; MITRAL VALVE MECHANICS; MITRAL VALVES; PARAMETERS IDENTIFICATION; PRE-STRAIN;

SENSITIVITY ANALYSIS;

COLLAGEN FIBER;

CARDIOPULMONARY BYPASS; CHORDA TENDINEA; ELASTICITY; FINITE ELEMENT ANALYSIS; HEART CYCLE; HEART FUNCTION; HEART LEFT ATRIUM PRESSURE; HEART LEFT VENTRICLE PRESSURE; IN VIVO STUDY; MITRAL VALVE; MITRAL VALVE MECHANICS; NONHUMAN; REVIEW; RIGIDITY; SENSITIVITY ANALYSIS; SIMULATION;

ANIMALS; ANISOTROPY; BIOMECHANICAL PHENOMENA; FIBRILLAR COLLAGENS; FINITE ELEMENT ANALYSIS; HEART VENTRICLES; INTRAOPERATIVE CARE; MALE; MITRAL VALVE; MODELS, CARDIOVASCULAR; SHEEP; STRESS, MECHANICAL;

EID: 84896689873     PISSN: 16177959     EISSN: 16177940     Source Type: Journal    
DOI: 10.1007/s10237-012-0462-z     Document Type: Review

References (61)

1. Abaqus 6.9. (2009) Analysis user's manual. SIMULIA, Dassault Systèmes
2. Amini R, Eckert CE, Koomalsingh K, McGarvey J, Minakawa M, Gorman JH, Gorman RC, Sacks MS (2012) On the in vivo deformation of the mitral valve anterior leaflet: effects of annular geometry and referential configuration. Ann Biomed Eng 40:1455-1467
3. Bothe W, Kuhl E, Kvitting JP, Rausch MK, Göktepe S, Swanson JC, Farahmandnia S, Ingels NB, Miller DC (2011) Rigid, complete annuloplasty rings increase anterior mitral valve leaflet strains in the normal beating ovine heart. Circulation 124:S81-S96
4. Bothe W, Rausch MK, Kvitting JP, Echtner DK, Walther M, Ingels NB, Kuhl E, Miller DC (2012) How do annuloplasty rings affect mitral annular strains in the normal beating ovine heart? Circulation 126:S231-S238
5. Carpentier A, Adams DH, Filsoufi F (2010) Carpentier's reconstructive valve surgery. From valve analysis to valve reconstruction. Saunders Elsevier, Missouri
6. Chaput M, Handschumacher MD, Guerrero JL, Holmvang G, Dal-Bianco JP, Sullivan S, Vlahakes GJ, Hung J, Levine RA (2009) Leducq Foundation MITRAL transatlantic network mitral leaflet adaptation to ventricular remodeling: prospective changes in a model of ischemic mitral regurgitation. Circulation 120:S99-S103
7. Cochran RP, Kunzelman KS, Chuong CJ, Sacks MS, Eberhart RC (1991) Nondestructive analysis of mitral valve collagen fiber orientation. Am Soc Artif Organs Trans 37:M447-M448
8. Dal-Bianco JP, Aikawa E, Bischoff J, Guerrero JL, Handschumacher MD, Sullivan S, Johnson B, Titus JS, Iwamoto Y, Wylie-Sears J, Levine RA, Carpentier A (2009) Active adaptation of the tethered mitral valve: insights into a compensatory mechanism for functional mitral regurgitation. Circulation 120:334-342
9. Einstein DR, Reinhall P, Nicosia M, Cochran RP, Kunzelman K (2003) Dynamic finite element implementation of nonlinear, anisotropic hyperelastic biological membranes. Comput Methods Biomech Biomed Eng 6:33-44
10. Einstein DR, Kunzelman KS, Reinhall PG, Cochran RP, Nicosia MA (2004) Haemodynamic determinants of the mitral valve closure sound: a finite element study. Med Biol Eng Comput 42:832-846
11. Famaey N, Vander Sloten J, Kuhl E (2013) A three-constituent damage model for arterial clamping in computer-assisted surgery. Biomech Model Mechanobiol. doi: 10.1007/s10237-012-0386-7
12. Gasser TC, Ogden RW, Holzapfel GA (2006) Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. J R Soc Interface 3:15-35
13. Göktepe S, Bothe W, Kvitting JP, Swanson J, Ingels NB, Miller DC, Kuhl E (2010) Anterior mitral leaflet curvature in the beating ovine heart. A case study using videofluoroscopic markers and subdivision surfaces. Biomech Model Mechanobiol 9:281-293
14. Grashow JS, Yoganathan AP, Sacks MS (2006) Biaxial stress-stretch behavior of the mitral valve anterior leaflet at physiological strain rates. Ann Biomed Eng 34:315-325
15. Grashow JS, Sacks MS, Liao J, Yoganathan AP (2006) Planar biaxial creep and stress relaxation of the mitral valve anterior leaflet. Ann Biomed Eng 34:1509-1518
16. He Z, Ritchie J, Grashow JS, Sacks MS, Yoganathan AP (2005) In vitro dynamic strain behavior of the mitral valve posterior leaflet. J Biomech Eng 127:504-511
17. Holzapfel GA, Gasser TC, Ogden RW (2000) A new constitutive framework for anterial wall mechanics and a comparative study of material models. J Elast 61:1-48
18. Itoh A, Krishnamurthy G, Swanson J, Ennis D, Bothe W, Kuhl E, Karlsson M, Davis L, Miller DC, Ingels NB (2009) Active stiffening of mitral valve leaflets in the beating heart. Am J Physiol Heart Circ Physiol 296:H1766-H1773
19. Jassar AS, Brinster CJ, Vergnat M, Robb D, Eperjesi TJ, Pouch AM, Cheung AT, Weiss SJ, Acker MA, Gorman JH, Gorman RC, Jackson BM (2011) Quantitative mitral valve modeling using real-time three-dimensional echocardiography: technique and repeatability. Ann Thorac Surg 91:165-171
20. Krishnamurthy G, Ennis DB, Itoh A, Bothe W, Swanson JC, Karlsson M, Kuhl E, Miller DC, Ingels NB (2008) Material properties of the ovine mitral valve anterior leaflet in vivo from inverse finite element analysis. Am J Physiol Heart Circ Physiol 295:H1141-H1149
21. Krishnamurthy G, Itoh A, Swanson JC, Bothe W, Karlsson M, Kuhl E, Miller DC, Ingels NB (2009) Regional stiffening of the mitral valve anterior leaflet in the beating heart. J Biomech 42:2697-2701
22. Krishnamurthy G, Itoh A, Bothe W, Swanson J, Kuhl E, Karlsson M, Miller DC, Ingels NB (2009) Stress-strain behavior of mitral valve leaflets in the beating ovine heart. J Biomech 42:1909-1916
23. Kunzelman KS, Cochran RP (1992) Stress/strain characteristics of porcine mitral valve tissue: parallel versus perpendicular collagen orientation. J Card Surg 7:71-78
24. Kunzelman KS, Cochran RP, Chuong C, Ring WS, Verrier ED, Eberhart RD (1993) Finite element analysis of the mitral valve. J Heart Valve Dis 2:326-340
25. Kunzelman KS, Cochran RP, Murphree SS, Ring WS, Verrier ED, Eberhart RC (1993) Differential collagen distribution in the mitral valve and its influence on biomechanical behaviour. J Heart Valve Dis 2:236-244
26. Kunzelman KS, Reimink MS, Cochran RP (1997) Annular dilatation increases stress in the mitral valve and delays coaptation: a finite element computer model. Cardiovasc Surg 5:427-434
27. Kunzelman KS, Quick DW, Cochran RP (1998) Altered collagen concentration in mitral valve leaflets: biochemical and finite element analysis. Ann Thorac Surg 66:S198-205
28. Kvitting JP, Bothe W, Göktepe S, Rausch MK, Swanson JC, Kuhl E, Ingels NB, Miller DC (2010) Anterior mitral leaflet curvature during the cardiac cycle in the normal ovine heart. Circulation 122: 1683-1689
29. Liao J, Yang L, Grashow JS, Sacks MS (2007) The relation between collagen fibril kinematics and mechanical properties of the mitral valve anterior leaflet. J Biomech Eng 129:78-87
30. Libby P, Bonow RO, Man DL, Zipes DP (2008) Braunwald's heart disease. A textbook of cardiovascular medicine. Saunders Elsevier, Philadelphia
31. Maisano F, Redaelli A, Pennati G, Fumero R, Torracca L, Alfieri O (1999) The hemodynamic effects of double-orifice valve repair for mitral regurgitation: a 3D computational model. Eur J Cardiothorac Surg 15:419-425
32. Maisano F, Redaelli A, Soncini M, Votta E, Arcobaso L, Alfieri O (2005) An annular prosthesis for the treatment of functional mitral regurgitation: finite element model analysis of a dog bone-shaped ring prosthesis. Ann Thorac Surg 79:1268-1275
33. May-Newman K, Yin FC (1995) Biaxial mechanical behavior of excised porcine mitral valve leaflets. Am J Physiol 269:H1319-H1327
34. May-Newman K, Yin FC (1998) A constitutive law for mitral valve tissue. J Biomech Eng 120:38-47
35. Mulholland DL, Gotlieb AI (1997) Cardiac valve interstitial cells: regulator of valve structure and function. Cardiovasc Pathol 6:167-174
36. Nordrum IS, Skallerud B (2012) Smooth muscle in the human mitral valve: extent and implications for dynamic modelling. Acta Pathologica, Microbiologica et Immunologica Scandinavica 120:484-494
37. Opie LH (2003) Heart physiology: from cell to circulation. Lippincott Williams & Wilkins, Pennsylvania
38. Padala M, Hutchison RA, Croft LR, Jimenez JH, Gorman RC, Gorman JH, Sacks MS, Yoganathan AP (2009) Saddle shape of the mitral annulus reduces systolic strains on the P2 segment of the posterior mitral leaflet. Ann Thorac Surg 88:1499-1504
39. Pouch AM, Xu C, Yushkevich P, Jassar AS, Vergnat M, Gorman JH, Gorman RC, Jackson BM (2012) Semi-automated mitral valve morphometry and computational stress analysis using 3D ultrasound. J Biomech 45:903-907
40. Prot V, Skallerud B, Holzapfel GA (2007) Transversely isotropic membrane shells with application to mitral valve mechanics. Constitutive modeling and finite element implementation. Int J Numer Methods Eng 71:987-1008
41. Prot V, Haaverstad R, Skallerud B (2009) Finite element analysis of the mitral apparatus: annulus shape effect and chordal force distribution. Biomech Model Mechanobiol 8:43-55
42. Prot V, Skallerud B (2009) Nonlinear solid finite element analysis of mitral valves with heterogeneous leaflet layers. Comput Mech 43:353-368
43. Rabbah JP, Saikrishnan N, Yoganathan AP (2013) A novel left heart simulator for the multi-modality characterization of native mitral valve geometry and fluid mechanics. Ann Biomed Eng. doi: 10.1007/s10439-012-0651-z
44. Rausch MK, Kuhl E (2013) On the effect of prestrain and residual stress in thin biological membranes. submitted for publication
45. Rausch MK, Bothe W, Kvitting JPE, Göktepe S, Miller DC, Kuhl E (2011) In vivo dynamic strains of the ovine anterior mitral valve leaflet. J Biomech 44:1149-1157
46. Rausch MK, Bothe W, Kvitting JPE, Swanson JC, Ingels NB, Miller DC, Kuhl E (2011) Characterization of mitral valve annular dynamics in the beating heart. Ann Biomed Eng 39:1690-1702
47. Rausch MK, Bothe W, Kvitting JP, Swanson JC, Miller DC, Kuhl E (2012) Mitral valve annuloplasty - a quantitative clinical and mechanical comparison of different annuloplasty devices. Ann Biomed Eng 40:750-761
48. Rausch MK, Tibayan FA, Miller DC, Kuhl E (2012) Evidence of adaptive mitral leaflet growth. J Mech Behav Biomed Mater 15:208-217
49. Reimink MS, Kunzelman KS, Verrier ED, Cochran RP (1995) The effect of anterior chordal replacement on mitral valve function and stresses. A finite element study. Am Soc Artif Intern Organs 41:M754-762
50. Sacks MS, He Z, Baijens L, Wanant S, Shah P, Sugimoto H, Yoganathan AP (2002) Surface strains in the anterior leaflet of the functioning mitral valve. Ann Biomed Eng 30:78-87
51. Sacks MS, Enomoto Y, Graybill JR, Merryman WD, Zeeshan A, Yoganathan AP, Levy RJ, Gorman RC, Gorman JH (2006) In-vivo dynamic deformation of the mitral valve anterior leaflet. Ann Thorac Surg 82:1369-1377
52. Sacks MS, Yoganathan AP (2007) Heart valve function: a biomechanical perspective. Philos Trans R Soc London B 362:1369-1391
53. Salgo IS, Gorman JH, Gorman RC, Jackson BM, Bowen FW, Plappert T, Sutton St John MG, Edmunds LH Jr (2002) Effect of annular shape on leaflet curvature in reducing mitral leaflet stress. Circulation 106:711-717
54. Siefert AW, Jimenez JH, West DS, Koomalsingh KJ, Gorman RC, Gorman JH, Yoganathan AP (2012) In-vivo transducer to measure dynamic mitral annular forces. J Biomech 45:1514-1516
55. Skallerud B, Prot V, Nordrum IS (2011) Modeling active muscle contraction in mitral valve leaflets during systole: a first approach. Biomech Model Mechanobiol 10:11-26
56. Taylor MT, Batten P, Brand NJ, Thomas PS, Yacoub MH (2003) The cardiac valve interstitial cell. Int J Biochem Cell Biol 35:113-118
57. van Vlimmeren MAA, Driessen-Mol A, Oomens CWJ, Baaijens FPT (2012) Passive and active contributions to generated force and retraction in heart valve tissue engineering. Biomech Model Mechanobiol 11:1015-1027
58. Votta E, Maisano F, Soncini M, Redaelli A, Montevecchi FM, Alfieri O (2002) 3-D computational analysis of the stress distribution on the leaflets after edge-to-edge repair of mitral regurgitation. J Heart Valve Dis 11:810-822
59. Votta E, Maisano F, Bolling SF, Alfieri O, Montevecchi FM, Redaelli A (2007) The geoform disease-specific annuloplasty system. Ann Thorac Surg 84:92-101
60. Weinberg EJ, Kaazempur-Mofrad MR (2006) A finite shell element for heart mitral valve leaflet mechanics, with large deformations and 3D constitutive material model. J Biomech 40:705-711
61. Xu C, Brinster CJ, Jassar AS, Vergnat M, Eperjesi TJ, Gorman RC, Gorman JH, Jackson BM (2010) A novel approach to in vivo mitral valve stress analysis. Am J Physiol Heart Circ Physiol 299: H1790-H1794