Modeling the dispersion in electromechanically coupled myocardium

International Journal for Numerical Methods in Biomedical Engineering

Volumn 29, Issue 11, 2013, Pages 1267-1284

  Eriksson, Thomas S E ^a,b   Prassl, Anton J ^b   Plank, Gernot ^b   Holzapfel, Gerhard A ^a,c  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

^b MEDICAL UNIVERSITY OF GRAZ   (Austria)

^c ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Computational biomechanics; Dispersion; Electromechanical coupling; Myocardium

Indexed keywords

ANGULAR DISPERSIONS; COMPUTATIONAL BIOMECHANICS; DISPERSION MODELING; DISPERSION PARAMETERS; GROWTH AND REMODELING; MYOCARDIAL DEFORMATION; MYOCARDIUM; STRUCTURE PARAMETER;

DISPERSION (WAVES); DISPERSIONS; ELECTROMECHANICAL COUPLING; FIBERS; TISSUE;

COMPUTER SIMULATION;

ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; COMPUTATIONAL BIOMECHANICS; COMPUTER SIMULATION; DISPERSION; EXCITATION CONTRACTION COUPLING; HEART; HEART FUNCTION TEST; HEART MUSCLE; HEART VENTRICLE FUNCTION; PHYSIOLOGY;

COMPUTATIONAL BIOMECHANICS; DISPERSION; ELECTROMECHANICAL COUPLING; MYOCARDIUM;

BIOMECHANICAL PHENOMENA; COMPUTER SIMULATION; ELECTROPHYSIOLOGIC TECHNIQUES, CARDIAC; HEART; MODELS, CARDIOVASCULAR; VENTRICULAR FUNCTION;

EID: 84887146548     PISSN: 20407939     EISSN: 20407947     Source Type: Journal    
DOI: 10.1002/cnm.2575     Document Type: Article

References (45)

1. Streeter DD, Jr., Spotnitz HM, Patel DP, Ross J, Jr., Sonnenblick EH. Fibre orientation in the canine left ventricle during diastole and systole. Circulation Research 1969; 24:339-347.
2. Usyk TP, Mazhari R, McCulloch AD. Effect of laminar orthotropic myofiber architecture on regional stress and strain in the canine left ventricle. Journal of Elasticity 2000; 61:143-164.
3. Rohmer D, Sitek A, Gullberg GT. Reconstruction and visualization of fiber and laminar structure in the normal human heart from ex vivo diffusion tensor magnetic resonance imaging (DTMRI) data. Investigative Radiology 2007; 42:777-789.
4. 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:H571-H582.
5. Young AA, Legrice IJ, Young MA, Smaill BH. Extended confocal microscopy of myocardial laminae and collagen network. Journal of Microscopy 1998; 192:139-150.
6. 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; 67:227-239.
7. Karlon WJ, Covell JW, McCulloch AD, Hunter JJ, Omens JH. Automated measurement of myofiber disarray in transgenic mice with ventricular expression of ras. Anatomical Record 1998; 252:612-625.
8. Karlon WJ, McCulloch AD, Covell JW, Hunter JJ, Omens JH. Regional dysfunction correlates with myofiber disarray in transgenic mice with ventricular expression of ras. American Journal of Physiology: Heart and Circulatory Physiology 2000; 278:H898-906.
9. Usyk TP, Omens JH, McCulloch AD. Regional septal dysfunction in a three-dimensional computational model of focal myofiber disarray. American Journal of Physiology: Heart and Circulatory Physiology 2001; 281:H506-H514.
10. Whittaker P, Boughner DR, Kloner RA. Analysis of healing after myocardial infarction using polarized light microscopy. American Journal of Pathology 1989; 134:879-893.
11. Zimmerman SD, Karlon WJ, Holmes JW, Omens JH, Covell JW. Structural and mechanical factors influencing infarct scar collagen organization. American Journal of Physiology: Heart and Circulatory Physiology 2000; 278:H194-H200.
12. Strijkers GJ, Bouts A, Blankesteijn WM, Peeters THJM, Vilanova A, van Prooijen MC, Sanders HMHF, Heijman E, Nicolay K. Diffusion tensor imaging of left ventricular remodeling in response to myocardial infarction in the mouse. NMR in Biomedicine 2009; 22:182-190.
13. Tseng WYI, Dou J, Reese TG, Wedeen VJ. Imaging myocardial fiber disarray and intramural strain hypokinesis in hypertrophic cardiomyopathy with MRI. Journal of Musculoskeletal and Neuronal Interactions 2006; 23:1-8.
14. Coppola BA, Omens JH. Role of tissue structure on ventricular wall mechanics. Mechanics and Chemistry of Biosystems 2008; 5:183-196.
15. Hooks DA, Trew ML, Caldwell BJ, Sands GB, LeGrice IJ, Smaill BH. Laminar arrangement of ventricular myocytes influences electrical behavior of the heart. Circulation Research 2007; 101:e103-e112.
16. Covell JW. Tissue structure and ventricular wall mechanics. Circulation 2008; 118:699-701.
17. Sands GB, Smaill BH, LeGrice IJ. Virtual sectioning of cardiac tissue relative to fiber orientation. Proc 30th Annual Int. Conf. of the IEEE Engineering in Medicine and Biology Society EMBS 2008, Vancouver, BC, 2008; 226-229.
18. Holzapfel GA, Ogden RW. Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Philosophical Transactions of the Royal Society A 2009; 367:3445-3475.
19. Gasser TC, Ogden RW, Holzapfel GA. Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. Journal of the Royal Society Interface 2006; 3:15-35.
20. Ambrosi D, Pezzuto S. Active stress vs. active strain in mechanobiology: constitutive issues. Journal of Elasticity 2012; 107:199-212.
21. Niederer SA, Smith NP. An improved numerical method for strong coupling of excitation and contraction models in the heart. Progress in Biophysics and Molecular Biology 2008; 96:90-111.
22. Holzapfel GA. Ogden RW. Constitutive modelling of arteries. Proceedings of the Royal Society A 2010; 466:1551-1597.
23. Holzapfel GA. Nonlinear Solid Mechanics. A Continuum Approach for Engineering. John Wiley & Sons: Chichester, 2000.
24. Pierce DM, Trobin W, Raya JG, Trattnig S, Bischof H, Glaser C, Holzapfel GA. DT-MRI based computation of collagen fiber deformation in human articular cartilage: a feasibility study. Annals of Biomedical Engineering 2010; 38:2447-2463.
25. Nash MP, Panfilov AV. Electromechanical model of excitable tissue to study reentrant cardiac arrhythmias. Progress in Biophysics and Molecular Biology 2004; 85:501-522.
26. Göktepe S, Kuhl E. Electromechanics of the heart: a unified approach to the strongly coupled excitation-contraction problem. Computational Mechanics 2010; 45:227-243.
27. FEAP- A Finite Element Analysis Program, Version 8.2 User Manual. University of California at Berkeley: Berkeley, California, 2008.
28. Colli Franzone P, Pavarino LF, Taccardi B. Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models. Mathematical Biosciences 2005; 197:35-66.
29. Nielsen BF, Ruud TS, Lines GT, Tveito A. Optimal monodomain approximations of the bidomain equations. Applied Mathematics and Computation 2007; 184:276-290.
30. Prassl AJ, Kickinger F, Ahammer H, Grau V, Schneider JE, Hofer E, Vigmond EJ, Trayanova NA, Plank G. Automatically generated, anatomically accurate meshes for cardiac electrophysiology problems. IEEE Transactions on Biomedical Engineering 2009; 56:1318-1330.
31. Karypis G, Schloegel K, Kumar V. ParMETIS: Parallel Graph Partitioning and Sparse Matrix Ordering Library, University of Minnesota: Minneapolis, MN, Version 3.1, 2003. Available from: http://glaros.dtc.umn.edu/gkhome/metis/parmetis/overview [Accessed on 25 June 2013].
32. Balay S, Brown J, Buschelman K, Eijkhout V, Gropp WD, Kaushik D, Knepley MG, Curfman McInnes L, Smith BF, Zhang H. PETSc users manual. Technical Report, Argonne National Laboratory, 2010.
33. Vigmond E J, Hughes M, Plank G, Leon L J. Computational tools for modeling electrical activity in cardiac tissue. Journal of Electrocardiology 2003; 36 Suppl:69-74.
34. Vigmond EJ, Weber dos Santos R, Prassl AJ, Deo M, Plank G. Solvers for the cardiac bidomain equations. Progress in Biophysics and Molecular Biology 2008; 96:3-18.
35. Vetter FJ, McCulloch AD. Three-dimensional analysis of regional cardiac function: a model of the rabbit ventricular anatomy. Progress in Biophysics and Molecular Biology 1998; 69:157-183.
36. Usyk TP, LeGrice IJ, McCulloch AD. Computational model of three-dimensional cardiac electromechanics. Computing and Visualization in Science 2002; 4:249-257.
37. Royse CF, Royse AG. The myocardial and vascular effects of bupivacaine, levobupivacaine, and ropivacaine using pressure volume loops. Anasthesia and Analgesia 2005; 101:679-687.
38. Rocha BM, Kickinger F, Prassl AJ, Haase G, Vigmond EJ, Weber dos Santos R, Plank SZG. A macro finite-element formulation for cardiac electrophysiology simulations using hybrid unstructured grids. IEEE Transactions on Biomedical Engineering 2011; 58:1055-1065.
39. Mahajan A, Shiferaw Y, Sato D, Baher A, Olcese R, Xie LH, Yang MJ, Chen PS, Restrepo JG, Karma A, Garfinkel A, Qu Z, Weiss JN. A rabbit ventricular action potential model replicating cardiac dynamics at rapid heart rates. Biophysical Journal 2008; 94:392-410.
40. Rush S, Larsen H. A practical algorithm for solving dynamic membrane equations. IEEE Transactions on Biomedical Engineering 1978; 25:389-392.
41. Plank G, Zhou L, Greenstein JL, Cortassa S, Winslow RL, O'Rourke B, Trayanova NA. From mitochondrial ion channels to arrhythmias in the heart: computational techniques to bridge the spatio-temporal scales. Philosophical Transactions of the Royal Society A 2008; 366:3381-3409.
42. Dong SJ, MacGregor JH, Crawley AP, McVeigh E, Belenkie I, Smith ER, Tyberg JV, Beyar R. Left ventricular wall thickness and regional systolic function in patients with hypertrophic cardiomyopathy. A three-dimensional tagged magnetic resonance imaging study. Circulation 1994; 90:1200-1209.
43. Carasso S, Yang H, Woo A, Vannan MA, Jamorski M, Wigle ED, Rakowski H. Systolic myocardial mechanics in hypertrophic cardiomyopathy: novel concepts and implications for clinical status. Journal of the American Society of Echocardiography 2008; 21:675-683.
44. Dokos S, Smaill BH, Young AA, LeGrice IJ. Shear properties of passive ventricular myocardium. American Journal of Physiology 2002; 283:H2650-H2659.
45. Roth BJ. Electrical conductivity values used with the bidomain model of cardiac tissue. IEEE Transactions on Biomedical Engineering 1997; 44:326-328.