Structure-based finite strain modelling of the human left ventricle in diastole

International Journal for Numerical Methods in Biomedical Engineering

Volumn 29, Issue 1, 2013, Pages 83-103

  Wang, H M ^a   Gao, H ^b   Luo, X Y ^b   Berry, C ^b   Griffith, B E ^c   Ogden, R W ^b,d   Wang, T J ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

^c NEW YORK UNIVERSITY SCHOOL OF MEDICINE   (United States)

^d UNIVERSITY OF ABERDEEN   (United Kingdom)

Author keywords

Constitutive law; Fibre structure; Finite element methods; Left ventricle in diastole; MRI; Nonlinear finite strain

Indexed keywords

COMPREHENSIVE MODEL; COMPUTATIONAL MODEL; CONSTITUTIVE LAW; CONSTITUTIVE PARAMETERS; DIASTOLIC FUNCTION; FIBRE STRUCTURE; FINITE STRAIN; FINITE STRAIN ANALYSIS; HEART FAILURE; HEART FUNCTION; LEFT VENTRICLES; LEFT VENTRICULAR HYPERTROPHIES; MYOCARDIAL CONTRACTILITY; NON-INVASIVE IMAGING; QUANTITATIVE INFORMATION; REALISTIC MODEL; RULE BASED; SIMILAR MODELS; STRESS AND STRAIN DISTRIBUTION; STRUCTURE-BASED; SYSTOLIC DYSFUNCTION;

BIOMECHANICS; CARDIOLOGY; CONSTITUTIVE MODELS; FINITE ELEMENT METHOD; MAGNETIC RESONANCE IMAGING; STRAIN;

THREE DIMENSIONAL;

ADULT; ARTICLE; BIOLOGICAL MODEL; CLINICAL TRIAL; DIASTOLE; FINITE ELEMENT ANALYSIS; HEART LEFT VENTRICLE HYPERTROPHY; HEART VENTRICLE; HUMAN; MALE; PATHOLOGY; PATHOPHYSIOLOGY; PHYSIOLOGICAL STRESS; SYSTOLIC HEART FAILURE;

ADULT; DIASTOLE; FINITE ELEMENT ANALYSIS; HEART FAILURE, SYSTOLIC; HEART VENTRICLES; HUMANS; HYPERTROPHY, LEFT VENTRICULAR; MALE; MODELS, BIOLOGICAL; STRESS, PHYSIOLOGICAL;

EID: 84871976691     PISSN: 20407939     EISSN: 20407947     Source Type: Journal    
DOI: 10.1002/cnm.2497     Document Type: Article

References (40)

1. Velagaleti RS, Pencina MJ, Murabito JM, Wang TJ, Parikh NI, D'Agostino RB, Levy D, Kannel WB, Vasan RS. Long-term trends in the incidence of heart failure after myocardial infarction. Circulation 2008; 118(20):2057-2062.
2. Paulus WJ, Tschöpe C, Sanderson JE, Rusconi C, Flachskampf FA, Rademakers FE, Marino P, Smiseth OA, De Keulenaer G, Leite-Moreira AF. How to diagnose diastolic heart failure: a consensus statement on the diagnosis of heart failure with normal left ventricular ejection fraction by the Heart Failure and Echocardiography Associations of the European Society of Cardiology. European Heart Journal 2007; 28(20):2539-2550.
3. Wang J, Nagueh SF. Current perspectives on cardiac function in patients with diastolic heart failure. Circulation 2009; 119(8):1146-1157.
4. Wang VY, Lam HI, Ennis DB, Cowan BR, Young AA, Nash MP. Modelling passive diastolic mechanics with quantitative MRI of cardiac structure and function. Medical Image Analysis 2009; 13(5):773-784.
5. Holzapfel GA, Ogden RW. Constitutive modelling of passive myocardium. A structurally-based framework for material characterization. Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences 2009; 367:3445-3475.
6. Hunter PJ, Nash MP, Sands GB. Computational electromechanics of the heart. Computational Biology of the Heart 1997:345-407.
7. LeGrice IJ, Smaill BH, Chai LZ, Edgar SG, Gavin JB, Hunter PJ. Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog. American Journal of Physiology- Heart and Circulatory Physiology 1995; 269(2):H571-H582.
8. Sands GB, Gerneke DA, Hooks DA, Green CR, Smaill BH, LeGrice IJ. Automated imaging of extended tissue volumes using confocal microscopy. Microscopy Research and Technique 2005; 67(5):227-239.
9. Bishop M, Hales P, Plank G, Gavaghan D, Scheider J, Grau V. Comparison of rule-based and DTMRI-derived fibre architecture in a whole rat ventricular computational model. Functional Imaging and Modeling of the Heart 2009; 5528:87-96.
10. Potse M, Dube B, Richer J, Vinet A, Gulrajani RM.A comparison of monodomain and bidomain reaction-diffusion models for action potential propagation in the human heart. IEEE Transactions on Bio-medical Engineering 2006; 53(12):2425-2435.
11. Demer LL, Yin FC. Passive biaxial mechanical properties of isolated canine myocardium. The Journal of Physiology 1983; 339(1):615.
12. Novak VP, Yin FCP, Humphrey JD. Regional mechanical properties of passive myocardium. Journal of Biomechanics 1994; 27(4):403-412.
13. Smaill BH, Hunter PJ. Structure and function of the diastolic heart: material properties of passive myocardium. Theory of Heart: Biomechanics, Biophysics and Nonlinear Dynamics of Cardiac Function 1991:1-29.
14. Yin FCP, Strumpf RK, Chew PH, Zeger SL. Quantification of the mechanical properties of noncontracting canine myocardium under simultaneous biaxial loading. Journal of Biomechanics 1987; 20(6):577-589.
15. Dokos S, Smaill BH, Young AA, LeGrice IJ. Shear properties of passive ventricular myocardium. American Journal of Physiology-Heart and Circulatory Physiology 2002; 283(6):H2650-H2659.
16. Vossoughi J, Vaishnav RN, Patel DJ. Compressibility of the myocardial tissue. In Advances in Bioengineering, Mow VC (ed.). Bioengineering Division, American Society of Mechanical Engineers: New York, NY 1980; 45-48.
17. Demiray H. Stresses in ventricular wall. Journal of Applied Mechanics 1976; 43:194-197.
18. Costa KD, Hunter PJ, Rogers JM, Guccione JM, Waldman LK, McCulloch AD.A three-dimensional finite element method for large elastic deformations of ventricular myocardium: I-Cylindrical and spherical polar coordinates. Journal of Biomechanical Engineering 1996a; 118:452-463.
19. Costa KD, Hunter PJ, Wayne JS, Waldman LK, Guccione JM, McCulloch AD.A three-dimensional finite element method for large elastic deformations of ventricular myocardium: II-prolate spheroidal coordinates. Journal of Biomechanical Engineering 1996b; 118:464-472.
20. Guccione JM, McCulloch AD, Waldman LK. Passive material properties of intact ventricular myocardium determined from a cylindrical model. Journal of Biomechanical Engineering 1991; 113:42-55.
21. Humphrey JD, Strumpf RK, Yin FCP. Determination of a constitutive relation for passive myocardium: I. A new functional form. Journal of biomechanical engineering 1990; 112:333-339.
22. Humphrey JD, Strumpf RK, Yin FCP. Determination of a Constitutive Relation for Passive Myocardium: II.-Parameter Estimation. Journal of biomechanical engineering 1990; 112:340-346.
23. Costa KD, Holmes JW, McCulloch AD. Modelling cardiac mechanical properties in three dimensions. Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 2001; 359(1783):1233-1250.
24. Schmid H, Nash MP, Young AA, Hunter PJ. Myocardial material parameter estimation-a comparative study for simple shear. Journal of Biomechanical Engineering 2006; 128:742-750.
25. Schmid H, O'Callaghan P, Nash MP, Lin W, LeGrice IJ, Smaill BH, Young AA, Hunter PJ. Myocardial material parameter estimation. Biomechanics and Modeling in Mechanobiology 2008; 7(3):161-173.
26. Horowitz A, Lanir Y, Yin FCP, Perl M, Sheinman I, Strumpf RK. Structural three-dimensional constitutive law for the passive myocardium. Journal of Biomechanical Engineering 1988; 110:200-207.
27. Vetter FJ, McCulloch AD. Three-dimensional stress and strain in passive rabbit left ventricle: a model study. Annals of Biomedical Engineering 2000; 28(7):781-792.
28. Nash MP, Hunter PJ. Computational mechanics of the heart. Journal of Elasticity 2000; 61(1):113-141.
29. Stevens C, Remme E, LeGrice I, Hunter P. Ventricular mechanics in diastole: material parameter sensitivity. Journal of Biomechanics 2003; 36(5):737-748.
30. Miehe C. Aspects of the formulation and finite element implementation of large strain isotropic elasticity. International Journal for Numerical Methods in Engineering 1994; 37(12):1981-2004.
31. Göktepe S, Acharya SNS, Wong J, Kuhl E. Computational modeling of passive myocardium. International Journal for Numerical Methods in Biomedical Engineering 2011; 27(1):1-12.
32. Buckberg GD, Weisfeldt ML, Ballester M, Beyar R, Burkhoff D, Coghlan HC, Doyle M, Epstein ND, Gharib M, Ideker RE. Left ventricular form and function. Circulation 2004; 110(14):e333-e336.
33. Klotz S, Hay I, Dickstein ML, Yi GH, Wang J, Maurer MS, Kass DA, Burkhoff D. Single-beat estimation of end-diastolic pressure-volume relationship: a novel method with potential for noninvasive application. American Journal of Physiology-Heart and Circulatory Physiology 2006; 291(1):H403-H412.
34. McCulloch AD, Hunter PJ, Smaill BH. Mechanical effects of coronary perfusion in the passive canine left ventricle. American Journal of Physiology-Heart and Circulatory Physiology 1992; 262(2):H523-H530.
35. McCulloch AD, Smaill BH, Hunter PJ. Regional left ventricular epicardial deformation in the passive dog heart. Circulation Research 1989; 64(4):721-733.
36. Omens JH, May KD, McCulloch AD. Transmural distribution of three-dimensional strain in the isolated arrested canine left ventricle. American Journal of Physiology-Heart and Circulatory Physiology 1991; 261(3):H918-H928.
37. Xi J, Lamata P, Lee J, Moireau P, Chapelle D, Smith N. Myocardial transversely isotropic material parameter estimation from in-silico measurements based on a reduced-order unscented Kalman filter. Journal of the Mechanical Behavior of Biomedical Materials 2011; 4(7):1090-1102.
38. May-Newman K, Omens JH, Pavelec RS, McCulloch AD. Three-dimensional transmural mechanical interaction between the coronary vasculature and passive myocardium in the dog. Circulation Research 1994; 74(6):1166-1178.
39. Guccione JM, Costa KD, McCulloch AD. Finite element stress analysis of left ventricular mechanics in the beating dog heart. Journal of Biomechanics 1995; 28(1):1167-1177.
40. Nash M. Mechanics and Material Properties of the Heart using an Anatomically Accurate Mathematical Model. PhD thesis, The University of Auckland, 1998.