New developments in an anatomical framework for modeling cardiac ischemia

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 13, Issue 12, 2003, Pages 3717-3722

  Smith, Nicolas ^a   Stevens, Carey ^a   Pullan, Andrew ^a   Hunter, Peter ^a   Mulquiney, Peter ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Anatomically based; Cardiac ischemia; Heart; Mathematical model

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; DISEASES; ELECTRIC CURRENTS; ELECTROPHYSIOLOGY; FINITE ELEMENT METHOD; GALERKIN METHODS; MATHEMATICAL MODELS; PATHOLOGY; TENSORS;

ANATOMICALLY BASED; CARDIAC ISCHEMIA;

CARDIOVASCULAR SYSTEM;

SUIDAE;

EID: 1642389080     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127403008818     Document Type: Article

References (19)

1. Antzelovitch, C., Nesterenko, V. V., Muzikant, A. L., Rice, J. J., Chien, G. & Colatsky, T. [2001] "Influence of transmural gradients on the electrophysiology and pharmacology of ventricular myocardium. Cellular basis for the Brugada and long-QT syndromes," Phil. Trans. Roy. Soc. Lond. A359, 1201-1216.
2. Bradley, C. P., Pullan, A. J. & Hunter, P. J. [1997] "Geometric modeling of the human torso using cubic Hermite elements," Ann. Biomed. Eng. 25, 96-111.
3. Buist, M. L. [2001] "Modeling cardiac activity from cell to body surface," PhD Thesis, University of Auckland.
4. Buist, M. L. & Pullan, A. J. [2001] "From cell to body surface: A fully coupled approach," J. Electrocardiol. 34, 191-195.
5. Chadwick, R. S., Tedgul, A., Michel, J. B., Ohayon, J. & Levy, B. I. [1990] "Phasic regional myocardial inflow and outflow: Comparison of theory and experiments," Am. J. Physiol 258, H1687-H1698.
6. Costa, K. D., Hunter, P. J., Wayne, J. S., Waldman, L. K., Guccione, J. M. & McCulloch, A. D. [1996] "A three-dimensional finite element method for large elastic deformations of ventricular myocardium: Part II - Prolate spherical coordinates," J. Biomech. Eng. 118, 464-472.
7. Hunter, P. J., McCulloch, A. D. & ter Keurs, H. E. D. J. [1998] "Modeling the mechanical properties of cardiac muscle," Prog. Biophys. Molec. Biol. 69, 289-331.
8. Hunter, P. J. & Smaill, B. H. [2000] "Electromechanics of the heart based on anatomical models," in Cardiac Electrophysiology: From Cell to Bedside, 3rd edition, eds. Zipes, D. P. & Jalife, J., Vol. 32, pp. 277-283.
9. Kohl, P., Noble, D., Winslow, R. L. & Hunter, P. J. [2000] "Computational modeling of biological systems: Tools and visions," Phil. Trans. Roy. Soc. Lond. A358, 579-610.
10. LeGrice, I. J., Hunter, P. J. & Smaill, B. H. [1997] "Laminar structure of the heart: A mathematical model," J. Physiol 272, H2466-H2476.
11. LeGrice, I. J., Hunter, P. J., Young, A. A. & Smaill, B. H. [2001] "The architecture of the heart: A data-based model," Phil Trans. Roy. Soc. 359, 1217-1232.
12. Luo, C. & Rudy, Y. [1994] "A dynamic model of the cardiac ventricular action potential - simulations of ionic currents and concentration changes," Circ. Res. 74, 1071-1097.
13. Nash, M. P. & Hunter, P. J. [2001] "Computational mechanics of the heart," J. Elasticity 61, 113-141.
14. Nickerson, D. P., Smith, N. P. & Hunter, P. J. [2001] "A model of cardiac cellular electromechanics," Phil. Trans. Roy. Soc. 359, 1159-1172.
15. Noble, D., Varghese, A., Kohl, P. & Noble, P. [1998] "Improved guinea-pig ventricular cell model incorporating a diadic space, IKr and IKs, and length- and tension-dependent processes," Canad. J. Cardiol. 14, 123-134.
16. Smith, N. P. [2002] "From sarcomere to cell: An efficient algorithm for linking mathematical models of muscle contraction," Bull. Math. Biol. 65, 1141-1162.
17. Smith, N. P., Pullan, A. J. & Hunter, P. J. [2000a] "Generation of an anatomically based geometric coronary model," Ann. Biomed. Eng. 28, 14-25.
18. Smith, N. P., Pullan, A. J. & Hunter, P. J. [2002b] "An anatomically based model of transient coronary blood flow in the heart," SIAM J. Appl. Math. 62, 990-1018.
19. Smith, N. P., Mulquiney, P. J., Nash, M. P., Bradley, C. P., Nickerson, D. P. & Hunter, P. J. [2002c] "Mathematical Modeling of the heart: Cell to organ," Chaos Solit. Fract. 13, 1613-1621.