Enabling numerical and software technologies for studying the electrical activity in human heart

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2367, Issue , 2002, Pages 3-17

  Cai, Xing ^a,b   Lines, Glenn Terje ^a,b  

^a SIMULA RESEARCH LABORATORY   (Norway)

^b UNIVERSITY OF OSLO   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITION METHODS; MULTIPROCESSING SYSTEMS; SIMULATORS;

ELECTRICAL ACTIVITIES; MULTI-PROCESSOR PLATFORMS; NUMERICAL ALGORITHMS; NUMERICAL EFFICIENCY; OVERLAPPING DOMAIN DECOMPOSITION; PARTIAL DIFFERENTIAL EQUATIONS (PDES); PROGRAMMING TECHNIQUE; SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 84945945092     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-48051-x_1     Document Type: Conference Paper

References (17)

1. A. M. Bruaset. A Survey of Preconditioned Iterative Methods. Addison-Wesley Pitman, 1995.
2. A. M. Bruaset, X. Cai, H. P. Langtangen, and A. Tveito. Numerical solution of PDEs on parallel computers utilizing sequential simulators. In Y. Ishikawa et al., editor, Scientific Computing in Object-Oriented Parallel Environment, Springer-Verlag Lecture Notes in Computer Science 1343, pages 161-168. Springer-Verlag, 1997.
3. X. Cai. Domain decomposition in high-level parallelization of pde codes. In CH. Lai et al., editor, Domain Decompostion Methods in Science and Engineering, pages 382-389. Domain Decomposition Press, 1999.
4. X. Cai and K. Samuelsson. Parallel multilevel methods with adaptivity on unstructured grids. Computing and Visualization in Science, 3: 133-146, 2000.
5. T. F. Chan and T. P. Mathew. Domain decomposition algorithms. In Acta Numerica 1994, pages 61-143. Cambridge University Press, 1994.
6. Diffpack World Wide Web home page. See URL http://www. nobjects. com/Diffpack.
7. D. B. Geselowitz and W. T. Miller. A bidomain model for anisotropic cardiac muscle. Annals of Biomedical Engineering, 11: 191-206, 1983.
8. W. Hackbusch. Multigrid Methods and Applications. Springer, Berlin, 1985.
9. H. P. Langtangen. Computational Partial Differential Equations-Numerical Methods and Diffpack Programming. Lecture Notes in Computational Science and Engineering. Springer-Verlag, 1999.
10. H. P. Langtangen and X. Cai. A software framework for easy parallelization of pde solvers. In Proceedings of the Parallel Computational Fluid Dynamics 2000 Conference, 2001.
11. G. T. Lines. Simulating the electrical activity of the heart: a bidomain model of the ventricles embedded in a torso. PhD thesis, Department of Informatics, Faculty of Mathematics and Natural Sciences, University of Oslo, 1999.
12. G. T. Lines, P. Grøttum, and A. Tveito. Modeling the electrical activity of the heart, a bidomain model of the ventricles embedded in a torso. Preprint 2000 4, Department of Informatics, University of Oslo, 2000.
13. C. H. Luo and Y. Rudy. A dynamic model of the cardiac ventricular action potenial. Circulation Research, 74: 1071-1096, 1994.
14. B. F. Smith, P. E. Bjørstad, and W. Gropp. Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations. Cambridge University Press, 1996.
15. J. Sundnes, G. T. Lines, and A. Tveito. Efficient solution of ordinary differential equations modeling electrical activity in cardiac cells. Mathematical Biosciences, 172: 55-72, 2001.
16. L. Tung. A Bi-domain model for describing ischemic myocardial D-C potentials. PhD thesis, MIT, Cambridge, MA, 1978.
17. J. Xu. Iterative methods by space decomposition and subspace correction. SIAM Review, 34(4): 581-613, December 1992.