Studying the influence of hydrogel injections into the infarcted left ventricle using the element-free Galerkin method

International Journal for Numerical Methods in Biomedical Engineering

Volumn 30, Issue 3, 2014, Pages 416-429

  Legner, D ^a   Skatulla, S ^a   Mbewu, J ^a   Rama, R R ^a   Reddy, B D ^a   Sansour, C ^b   Davies, N H ^a   Franz, T ^a,c  

^a UNIVERSITY OF CAPE TOWN   (South Africa)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^c CENTRE FOR HIGH PERFORMANCE COMPUTING   (South Africa)

Author keywords

Computational cardiology; Injection therapy; Meshless method; Myocardial infarction

Indexed keywords

CARDIOLOGY;

COMPUTATIONAL MODEL; ELEMENT-FREE GALERKIN METHOD; HOMOGENIZATION APPROACH; MECHANICAL BEHAVIOUR; MESH-LESS METHODS; MYOCARDIAL INFARCTION; PUMPING PERFORMANCE; STORED ENERGY FUNCTION;

COMPUTATIONAL MECHANICS;

ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; COMPUTATIONAL CARDIOLOGY; COMPUTER SIMULATION; HEART INFARCTION; HEART VENTRICLE; HUMAN; HYDROGEL; INJECTION THERAPY; MECHANICAL STRESS; MESHLESS METHOD; PATHOPHYSIOLOGY;

COMPUTATIONAL CARDIOLOGY; INJECTION THERAPY; MESHLESS METHOD; MYOCARDIAL INFARCTION;

BIOMECHANICAL PHENOMENA; COMPUTER SIMULATION; HEART VENTRICLES; HUMANS; HYDROGEL; MODELS, CARDIOVASCULAR; MYOCARDIAL INFARCTION; STRESS, MECHANICAL;

EID: 84894769147     PISSN: 20407939     EISSN: 20407947     Source Type: Journal    
DOI: 10.1002/cnm.2610     Document Type: Article

References (29)

1. Hao X, Silva EA, Månsson-Broberg A, Grinnemo KH, Siddiqui AJ, Dellgren G, Wärdell E, Brodin LA, Mooney DJ, Sylvén C. Injectable acellular hydrogels for cardiac repair. Cardiovascular Research 2007; 75:178-185.
2. Landa N, Miller L, Feinberg MS, Holbova R, Shachar M, Freeman I, Cohen S, Leor J. Effect of injectable alginate implant on cardiac remodeling and function after recent and old infarcts in rat. Circulation 2008; 117:1388-1396.
3. Wu J, Zeng F, Huang X, Chung JCY, Konecny F, Weisel RD, Li RK. Infarct stabilization and cardiac repair with a vegf-conjugated, injectable hydrogel. Biomaterials 2011; 32:579-586.
4. Yoon SJ, Fang YH, Lim CH, Kim BS, Son HS, Park Y, Sun K. Regeneration of ischemic heart using hyaluronic acid-based injectable hydrogel. Journal of Biomedical Materials. Research Part B: Applied Biomaterials 2009; 91B:163-171.
5. Nelson DM, Ma Z, Fujimoto KL, Hashizume R, Wagner WR. Intra-myocardial biomaterial injection therapy in the treatment of heart failure: materials, outcomes and challenges. Acta Biomaterialia 2011; 7:1-15.
6. Tous E, Purcell B, Ifkovits JL, Burdick JA. Injectable acellular hydrogels for cardiac repair. Journal of Cardiovascular Translational Research 2011; 4:528-542.
7. Wall ST, Walker JC, Healy KE, Ratcliffe MB, Guccione JM. Theoretical impact of the injection of material into the myocardium. Circulation 2006; 114:2627-2635.
8. Wenk J, Wall S, Peterson R, Helgerson S, Sabbah H, Burger M, Stander N, Ratcliffe M, Guccione J. A method for automatically optimizing medical devices for treating heart failure: designing polymeric injection patterns. Journal of Biomechanical Engineering 2009; 131:121011.
9. Wenk JF, Eslami P, Zhang Z, Xu C, Kuhl E, Gorman J, III, Robb J, Ratcliffe MB, Gorman R, Guccione J. A novel method for quantifying the in-vivo mechanical effect of material injected into a myocardial infarction. The Annals of Thoracic Surgery 2011; 92:935-941.
10. Kortsmit J, Davies N, Miller R, Macadangdang J, Zilla P, Franz T. The effect of hydrogel injection on cardiac function and myocardial mechanics in a computational post-infarction model. Computer Methods in Biomechanics and Biomedical Engineering 2013; 16(11):1185-1195.
11. Niederer S, Smith N. 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 2009; 5:1-5.
12. Gupta KB, Ratcliffe MB, Fallert MA, Edmunds LH, Bogen DK. Changes in passive mechanical stiffness of myocardial tissue with aneurysm formation. Circulation 1994; 89:2315-2326.
13. Holmes JW, Borg TK, Covell JW. Structure and mechanics of healing myocardial infarcts. Annual Review of Biomedical Engineering 2005; 7:223-253.
14. Usyk T, Mazhari R, McCulloch A. Effect of laminar orthotropic myofiber architecture on regional stress and strain in the canine left ventricle. Journal of Elasticity 2000; 61:143-164.
15. Omens JH, MacKenna DA, McCulloch AD. Measurement of strain and analysis of stress in resting rat left ventricular myocardium. Journal of Biomechanics 1993; 26:665-676.
16. Guccione JM, Waldman LK, McCulloch AD. Mechanics of active contraction in cardiac muscle: part II-cylindrical models of the systolic left ventricle. Journal of Biomechanical Engineering 1993; 115(1):82-90.
17. Reese S, Raible T, Wriggers P. Finite element modelling of orthotropic material behaviour in pneumatic membranes. International Journal of Solids and Structures 2001; 52:9525-9544.
18. Klinkel S, Sansour C, Wagner W. An anisotropic fibre-matrix material model at finite elastic-plastic strains. Computational Mechanics 2005; 35:409-417.
19. Belytschko T, Gu L, Lu Y. Fracture and crack growth by element-free Galerkin methods. Modelling and Simulation in Materials Science and Engineering 1994; 2:519-534.
20. Skatulla S, Sansour C. Essential boundary conditions in meshfree methods via a modified variational principle. Applications to shell computations. Computer Assisted Mechanics and Engineering Sciences 2008; 15:123-142.
21. Lancaster P, Salkauskas K. Surface generated by moving least square methods. Mathematics of Computations 1981; 37:141-158.
22. Wagner G, Liu W. Application of essential boundary conditions in mesh-free methods: a corrected collocation method. International Journal for Numerical Methods in Engineering 2000; 47:1367-1379.
23. Guccione J, Moonly S, Moustakidis P, Costa K, Moulton M, Ratcliffe M, Pasque M. Mechanism underlying mechanical dysfunction in the border zone of left ventricular aneurysm: a finite element model study. The Annals of Thoracic Surgery 2001; 71:654-662.
24. Rijcken J, Bovendeerd PH, Schoofs AJ, van Campen DH, Arts T. Optimization of cardiac fiber orientation for homogeneous fiber strain during ejection. Annals of Biomedical Engineering 1999; 27(3):289-297.
25. Cingolani O, Yang X, Cavasin M, Carretero OA. Increased systolic performance with diastolic dysfunction in adult spontaneously hypertensive rats. Hypertension 2003; 43:249-254.
26. Herrmann KL, McCulloch AD, Omens JH. Glycated collagen cross-linking alters cardiac mechanics in volume-overload hypertrophy. American Journal of Physiology. Heart and Circulatory Physiology 2003; 284:1277-1284.
27. Wenk J, Zhang Z, Cheng G, Malhotra D, Acevedo-Bolton G, Burger M, Suzuki T, Saloner DA, Wallace W, Guccione J, Ratcliffe MB. First finite element model of the left ventricle with mitral valve: insights into ischemic mitral regurgitation. The Annals of Thoracic Surgery 2010; 89:1546-1554.
28. Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P. Meshless methods: an overview and recent developments. Computer Methods in Applied Mechanics and Engineering 1996; 139:3-47.
29. Bogen D, Rabinowitz S, Needleman A, McMahon T, Abelmann WH. An analysis of the mechanical disadvantage of myocardial infarction in the canine left ventricle. Circulation Research 1980; 47:728-741.