An inverse finite element method for determining the tissue compressibility of human left ventricular wall during the cardiac cycle

PLoS ONE

Volumn 8, Issue 12, 2013, Pages

  Hassaballah, Abdallah I ^a   Hassan, Mohsen A ^a,b   Mardi, Azizi N ^a   Hamdi, Mohd ^a  

^a UNIVERSITY OF MALAYA   (Malaysia)

^b Assiut University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

COLLAGEN;

ARTICLE; FINITE ELEMENT ANALYSIS; HEART CYCLE; HEART EJECTION FRACTION; HEART LEFT VENTRICLE; HEART LEFT VENTRICLE PRESSURE; HEART LEFT VENTRICLE WALL; HEART MUSCLE; HEART MUSCLE FIBER MEMBRANE; HEART REPOLARIZATION; HUMAN; IN VIVO STUDY; YOUNG MODULUS;

ALGORITHMS; ELASTICITY; FINITE ELEMENT ANALYSIS; HEART VENTRICLES; HUMANS; MODELS, THEORETICAL; MYOCARDIUM;

EID: 84893174418     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0082703     Document Type: Article

References (49)

1. Kohl P, Sachs F, Franz MR (2011) Cardiac mechano-electric coupling and arrhythmias: OUP Oxford.
2. Fung Y, Cowin S (1994) Biomechanics: Mechanical properties of living tissues. Journal of Applied Mechanics 61: 1007-1007.
3. Yin F, Chan C, Judd RM (1996) Compressibility of perfused passive myocardium. American Journal of Physiology-Heart and Circulatory Physiology 271: H1864-H1870.
4. Bettendorff-Bakman DE, Schmid P, Lunkenheimer P, Niederer P (2006) A finite element study relating to the rapid filling phase of the human ventricles. J Theor Biol 238: 303-316. (Pubitemid 41828432)
5. Veress AI, Gullberg GT, Weiss JA (2005) Measurement of strain in the left ventricle during diastole with cine-MRI and deformable image registration.
6. Shim J, Grosberg A, Nawroth JC, Kit Parker K, Bertoldi K (2012) Modeling of cardiac muscle thin films: Pre-stretch, passive and active behavior. J Biomech 45: 832-841.
7. Dorri F, Niederer P, Lunkenheimer P (2006) A finite element model of the human left ventricular systole. Computer Methods in Biomechanics and Biomedical Engineering 9: 319-341.
8. Marchesseau S, Delingette H, Sermesant M, Sorine M, Rhode K, et al. (2012) Preliminary specificity study of the Bestel-Clément-Sorine electromechanical model of the heart using parameter calibration from medical images. Journal of the Mechanical Behavior of Biomedical Materials.
9. Yettram A, Beecham M (1998) An analytical method for the determination of along-fibre to cross-fibre elastic modulus ratio in ventricular myocardium-a feasibility study. Medical engineering & physics 20: 103-108. (Pubitemid 28318323)
10. Périé D, Dahdah N, Foudis A, Curnier D (2013) Multi-parametric MRI as an indirect evaluation tool of the mechanical properties of in-vitro cardiac tissues. BMC cardiovascular disorders 13: 1-9.
11. Augenstein KF, Cowan BR, LeGrice IJ, Young AA (2006) Estimation of cardiac hyperelastic material properties from MRI tissue tagging and diffusion tensor imaging. Medical Image Computing and Computer-Assisted Intervention-MICCAI 2006: Springer. 628-635.
12. Wang VY, Lam H, Ennis DB, Cowan BR, Young AA, et al. (2009) Modelling passive diastolic mechanics with quantitative MRI of cardiac structure and function. Med Image Anal 13: 773.
13. Dent CL, Scott MJ, Wickline SA, Hall CS (2000) High-frequency ultrasound for quantitative characterization of myocardial edema. Ultrasound in medicine & biology 26: 375-384. (Pubitemid 30204549)
14. Balaraman K, Mukherjee S, Chawla A, Malhotra R (2006) Inverse Finite Element Characterization of Soft Tissues Using Impact Experiments and Taguchi Methods. SAE Paper: 01-0252.
15. Zenker S, Rubin J, Clermont G (2007) From Inverse Problems in Mathematical Physiology to Quantitative Differential Diagnoses. PLoS Comput Biol 3: e204.
16. Xu Z-H, Yang Y, Huang P, Li X (2010) Determination of interfacial properties of thermal barrier coatings by shear test and inverse finite element method. Acta Materialia 58: 5972-5979.
17. Evans S, Avril S (2012) Editorial: Identification of material parameters through inverse finite element modelling. Computer Methods in Biomechanics and Biomedical Engineering 15: 1-2.
18. Hassaballah AIM, Hassan MA, Mardi NA, Hamdi MA (2013) Modeling the effects of myocardial fiber architecture and material properties on the left ventricle mechanics during rapid filling phase. Journal of applied mathematics and information sciences; in press.
19. LeGrice IJ, Smaill B, Chai L, Edgar S, Gavin J, et al. (1995) Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog. American Journal of Physiology-Heart and Circulatory Physiology 269: H571-H582.
20. Stevens C, Remme E, LeGrice I, Hunter P (2003) Ventricular mechanics in diastole: material parameter sensitivity. J Biomech 36: 737-748. (Pubitemid 36410323)
21. Helm P, Beg MF, Miller MI, Winslow RL (2005) Measuring and mapping cardiac fiber and laminar architecture using diffusion tensor MR imaging. Ann Ny Acad Sci 1047: 296-307. (Pubitemid 41123848)
22. Sengupta PP, Korinek J, Belohlavek M, Narula J, Vannan MA, et al. (2006) Left ventricular structure and function: basic science for cardiac imaging. J Am Coll Cardiol 48: 1988-2001. (Pubitemid 44738455)
23. Arts T, Lumens J, Kroon W, Delhaas T (2012) Control of Whole Heart Geometry by Intramyocardial Mechano-Feedback: A Model Study. PLoS Comput Biol 8: e1002369.
24. Kerckhoffs R, Bovendeerd P, Kotte J, Prinzen F, Smits K, et al. (2003) Homogeneity of cardiac contraction despite physiological asynchrony of depolarization: a model study. Ann Biomed Eng 31: 536-547.
25. Chen J, Liu W, Zhang H, Lacy L, Yang X, et al. (2005) Regional ventricular wall thickening reflects changes in cardiac fiber and sheet structure during contraction: quantification with diffusion tensor MRI. American Journal of Physiology-Heart and Circulatory Physiology 289: H1898-H1907. (Pubitemid 41507338)
26. Lombaert H, Peyrat JM, Croisille P, Rapacchi S, Fanton L, et al. (2011) Statistical Analysis of the Human Cardiac Fiber Architecture from DT-MRI. Lect Notes Comput Sc 6666: 171-179.
27. Lombaert H, Peyrat JM, Croisille P, Rapacchi S, Fanton L, et al. (2012) Human Atlas of the Cardiac Fiber Architecture: Study on a Healthy Population. Ieee T Med Imaging 31: 1436-1447.
28. Rohmer D, Sitek A, Gullberg GT (2006) Reconstruction and visualization of fiber and laminar structure in the normal human heart from ex vivo DTMRI data. Tech. Rep., Lawrence Berkeley National Laboratory.
29. Hall JE (2011) Guyton and Hall Textbook of Medical Physiology: Enhanced Ebook: Saunders.
30. Bettendorff-Bakman DE, Schmid P, Lunkenheimer P, Niederer P (2008) Diastolic ventricular aspiration: A mechanism supporting the rapid filling phase of the human ventricles. J Theor Biol 250: 581-592.
31. Zhong L, Ghista D, NG E, Chua T, Lee CN, et al. (2007) Left ventricular functional indices based on the left ventricular elastances and shape factor. Journal of Mechanics in Medicine and Biology 07: 107-116.
32. Watanabe S, Shite J, Takaoka H, Shinke T, Imuro Y, et al. (2006) Myocardial stiffness is an important determinant of the plasma brain natriuretic peptide concentration in patients with both diastolic and systolic heart failure. European heart journal 27: 832-838.
33. Venugopal JR, Prabhakaran MP, Mukherjee S, Ravichandran R, Dan K, et al. (2012) Biomaterial strategies for alleviation of myocardial infarction. J R Soc Interface 9: 1-19.
34. Hassan M, Hamdi M, Noma A (2012) The nonlinear elastic and viscoelastic passive properties of left ventricular papillary muscle of a Guinea pig heart. Journal of the Mechanical Behavior of Biomedical Materials 5: 99-109.
35. Bagnoli P, Malagutti N, Gastaldi D, Marcelli E, Lui E, et al. (2011) Computational finite element model of cardiac torsion. Int J Artif Organs 34: 44-53.
36. Le Rolle V, Hernández AI, Richard P-Y, Donal E, Carrault G (2008) Model-based analysis of myocardial strain data acquired by tissue Doppler imaging. Artificial Intelligence in Medicine 44: 201-219.
37. Niederer SA, Smith NP (2009) The role of the Frank-Starling law in the transduction of cellular work to whole organ pump function: A computational modeling analysis. PLoS computational biology 5: e1000371.
38. Evangelista A, Nardinocchi P, Puddu P, Teresi L, Torromeo C, et al. (2011) Torsion of the human left ventricle: Experimental analysis and computational modeling. Progress in biophysics and molecular biology 107: 112-121.
39. Kerckhoffs RC, Omens JH, McCulloch AD (2012) A single strain-based growth law predicts concentric and eccentric cardiac growth during pressure and volume overload. Mechanics research communications 42: 40-50.
40. Kroon W, Delhaas T, Arts T, Bovendeerd P (2007) Constitutive Modeling of Cardiac Tissue Growth. In: Sachse F, Seemann G, editors. Lect Notes Comput Sc: Springer Berlin Heidelberg. 340-349. (Pubitemid 47289906)
41. Eriksson T, Prassl A, Plank G, Holzapfel G (2013) Influence of myocardial fiber/sheet orientations on left ventricular mechanical contraction. Mathematics and Mechanics of Solids.
42. Lee LC, Wenk JF, Zhong L, Klepach D, Zhang Z, et al. (2013) Analysis of Patient-specific Surgical Ventricular Restoration-Importance of an Ellipsoidal Left Ventricular Geometry for Diastolic and Systolic Function. Journal of Applied Physiology.
43. Martina JR, Bovendeerd PH, de Jonge N, de Mol BA, Lahpor JR, et al. (2013) Simulation of Changes in Myocardial Tissue Properties During Left Ventricular Assistance With a Rotary Blood Pump. Artificial organs.
44. Teske AJ, De Boeck B, Melman PG, Sieswerda GT, Doevendans PA, et al. (2007) Echocardiographic quantification of myocardial function using tissue deformation imaging, a guide to image acquisition and analysis using tissue Doppler and speckle tracking. Cardiovasc Ultrasound 5: 27.
45. Masugata H, Mizushige K, Kinoshita A, Sakamoto S, Matsuo H, et al. (2000) Comparison of left ventricular diastolic filling with myocyte bulk modulus using doppler echocardiography and acoustic microscopy in pressure-overload left ventricular hypertrophy and cardiac amyloidosis. Clinical cardiology 23: 115-122. (Pubitemid 30100258)
46. Kolipaka A, Araoz PA, McGee KP, Manduca A, Ehman RL (2010) Magnetic resonance elastography as a method for the assessment of effective myocardial stiffness throughout the cardiac cycle. Magnetic Resonance in Medicine 64: 862-870.
47. Klabunde RE (2011) Cardiovascular physiology concepts: Wolters Kluwer Health.
48. Courneya CAM, Parker MJ (2010) Cardiovascular Physiology: A Clinical Approach [With Access Code]: Wolters Kluwer Health.
49. Stouffer G (2011) Cardiovascular hemodynamics for the clinician: Wiley. com.