-
1
-
-
0000157466
-
A simple two-variable model of cardiac excitation
-
Aliev, R., and A. Panfilov. A simple two-variable model of cardiac excitation. Chaos Solitons Fractals 7:293-301,1996.
-
(1996)
Chaos Solitons Fractals
, vol.7
, pp. 293-301
-
-
Aliev, R.1
Panfilov, A.2
-
2
-
-
20344393858
-
A fourth-order accurate localrefinement method for Poisson's equation
-
Barad, M., and P. Colella. A fourth-order accurate localrefinement method for Poisson's equation. J. Comput. Phys. 209:1-18, 2005.
-
(2005)
J. Comput. Phys.
, vol.209
, pp. 1-18
-
-
Barad, M.1
Colella, P.2
-
3
-
-
77951132683
-
A multiresolutionspace-time adaptive scheme for the bidomain model in electrocardiology
-
doi:10.1002/num.20495
-
Bendahmane, M., R. Bürguer, and R. Ruiz-Baier. A multiresolutionspace-time adaptive scheme for the bidomain model in electrocardiology. Numer. Methods Partial Differ. Equ. 2010. doi:10.1002/num.20495.
-
(2010)
Numer. Methods Partial Differ. Equ.
-
-
Bendahmane, M.1
Bürguer, R.2
Ruiz-Baier, R.3
-
4
-
-
67149147023
-
Chaste incorporating a novel multi-scale spatial and temporal algorithm into a large-scale open source library
-
Bernabeu, M. O., R. Bordas, P. Pathmanathan, J. Pitt-Francis, J. Cooper, A. Garny, D. J. Gavaghan, B. Rodriguez, J. A. Southern, and J. P. Whiteley. Chaste: incorporating a novel multi-scale spatial and temporal algorithm into a large-scale open source library. Philos. Trans. R. Soc. A Math. Phys. Eng. Sci. 367(1895):1907-1930, 2009.
-
(2009)
Philos. Trans. R. Soc. A Math. Phys. Eng. Sci.
, vol.367
, Issue.1895
, pp. 1907-1930
-
-
Bernabeu, M.O.1
Bordas, R.2
Pathmanathan, P.3
Pitt-Francis, J.4
Cooper, J.5
Garny, A.6
Gavaghan, D.J.7
Rodriguez, B.8
Southern, J.A.9
Whiteley, J.P.10
-
6
-
-
17544388260
-
Abstract space-time adaptive method for simulating complex cardiac dynamics
-
Cherry, E. M., H. S. Greenside, and C. S. Henriquez. Abstract space-time adaptive method for simulating complex cardiac dynamics. Phys. Rev. Lett. 84:1343-1346, 2000.
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 1343-1346
-
-
Cherry, E.M.1
Greenside, H.S.2
Henriquez, C.S.3
-
7
-
-
0141678056
-
Efficient simulation of three-dimensional anisotropic cardiac tissue using an adaptive mesh refinement method
-
Cherry, E. M., H. S. Greenside, and C. S. Henriquez.Efficient simulation of three-dimensional anisotropic cardiac tissue using an adaptive mesh refinement method. Chaos. 13(3):853-865, 2003.
-
(2003)
Chaos.
, vol.13
, Issue.3
, pp. 853-865
-
-
Cherry, E.M.1
Greenside, H.S.2
Henriquez, C.S.3
-
8
-
-
34249063270
-
Adaptivity in space and time for reaction-diffusion systems in electrocardiology
-
Colli-Franzone, P., P. Deuflhard, B. Erdmann, J. Lang, and L. F. Pavarino. Adaptivity in space and time for reaction-diffusion systems in electrocardiology. SIAM J. Sci. Comput. 28(3):942-962, 2006.
-
(2006)
SIAM J. Sci. Comput.
, vol.28
, Issue.3
, pp. 942-962
-
-
Colli-Franzone, P.1
Deuflhard, P.2
Erdmann, B.3
Lang, J.4
Pavarino, L.F.5
-
9
-
-
7244242182
-
A parallel solver forreaction-diffusion systems in computational electrocardiology
-
Colli-Franzone, P., and L. Pavarino. A parallel solver forreaction-diffusion systems in computational electrocardiology. Math. Models Methods Appl. Sci. 14(6):883-911, 2004.
-
(2004)
Math. Models Methods Appl. Sci.
, vol.14
, Issue.6
, pp. 883-911
-
-
Colli-Franzone, P.1
Pavarino, L.2
-
10
-
-
0034026881
-
Action potential andcontractility changes in [Na(+)](i) overloaded cardiac myocytes: A simulation study
-
Faber, G. M., and Y. Rudy. Action potential andcontractility changes in [Na(+)](i) overloaded cardiac myocytes: a simulation study. Biophys. J. 78(5):2392-2404, 2000.
-
(2000)
Biophys. J.
, vol.78
, Issue.5
, pp. 2392-2404
-
-
Faber, G.M.1
Rudy, Y.2
-
11
-
-
18744390206
-
-
Boulder: Department of Aerospace Engineering Sciences University of Colorado at Boulder
-
Felippa, C. Introduction to Finite Element Methods. Boulder: Department of Aerospace Engineering Sciences, University of Colorado at Boulder, 2007.
-
(2007)
Introduction to Finite Element Methods
-
-
Felippa, C.1
-
12
-
-
17744397787
-
Modelling wave propagation in realistic heart geometries using the phase-field method
-
Fenton, F., E. Cherry, A. Karma, and W. Rappel. Modelling wave propagation in realistic heart geometries using the phase-field method. Chaos 15:1-11, 2005.
-
(2005)
Chaos
, vol.15
, pp. 1-11
-
-
Fenton, F.1
Cherry, E.2
Karma, A.3
Rappel, W.4
-
13
-
-
12144289223
-
Electrical activity and reentry during acute regional myocardial ischemia: Insights from simulations
-
Ferrero, J. M., B. Trenor, B. Rodriguez, and J. Saiz. Electrical activity and reentry during acute regional myocardial ischemia: insights from simulations. Int. J. Bifurcat. Chaos. 13:3703-3715, 2003.
-
(2003)
Int. J. Bifurcat. Chaos.
, vol.13
, pp. 3703-3715
-
-
Ferrero, J.M.1
Trenor, B.2
Rodriguez, B.3
Saiz, J.4
-
14
-
-
0034705040
-
Preventing ventricular fibrillation by flattering cardiac restitution
-
Garfinkel, A., Y. H. Kim, O. Voroshilovsky, Z. Qu, J. R.Kil, M. H. Lee, H. S. Karagueuzian, J. N. Weiss, and P. S. Chen. Preventing ventricular fibrillation by flattering cardiac restitution. Proc. Natl Acad. Sci. 97:6061-6066, 2000.
-
(2000)
Proc. Natl Acad. Sci.
, vol.97
, pp. 6061-6066
-
-
Garfinkel, A.1
Kim, Y.H.2
Voroshilovsky, O.3
Qu, Z.4
Kil, J.R.5
Lee, M.H.6
Karagueuzian, H.S.7
Weiss, J.N.8
Chen, P.S.9
-
15
-
-
0021076732
-
A bidomain modelfor anisotropic cardiac muscle
-
Geselowitz, D. B., and W. T. Miller III. A bidomain modelfor anisotropic cardiac muscle. Ann. Biomed. Eng. 11:315-334, 1983.
-
(1983)
Ann. Biomed. Eng.
, vol.11
, pp. 315-334
-
-
Geselowitz, D.B.1
Miller Iii, W.T.2
-
16
-
-
41249085020
-
Fourth order compact schemes with adaptive time step for monodomain reaction difusion equations
-
Heidenreich, E. A., J. F. Rodriguez, F. J. Gaspar, and M. Doblare. Fourth order compact schemes with adaptive time step for monodomain reaction difusion equations. J. Comput. Appl. Math. 21:39-55, 2008.
-
(2008)
J. Comput. Appl. Math.
, vol.21
, pp. 39-55
-
-
Heidenreich, E.A.1
Rodriguez, J.F.2
Gaspar, F.J.3
Doblare, M.4
-
18
-
-
0027447573
-
Simulating the electrical behavior of cardiactissue using the bidomain model
-
Henriquez, C. S. Simulating the electrical behavior of cardiactissue using the bidomain model. Crit. Rev. Bioeng. 21:1-77, 1993.
-
(1993)
Crit. Rev. Bioeng.
, vol.21
, pp. 1-77
-
-
Henriquez, C.S.1
-
19
-
-
33750471607
-
The use of 2d enriched elements with bubble functions for finite element analysis
-
Ho, S. P., and Y. L. Yeh. The use of 2d enriched elements with bubble functions for finite element analysis. Comput. Struct. 84(29-30):2081-2091, 2006.
-
(2006)
Comput. Struct.
, vol.84
, Issue.29-30
, pp. 2081-2091
-
-
Ho, S.P.1
Yeh, Y.L.2
-
22
-
-
0004212171
-
-
Philadelphia, USA:Lippincott Williams and Wilkins
-
Katz, A. Physiology of the Heart. Philadelphia, USA:Lippincott Williams and Wilkins, 718 pp., 2001.
-
(2001)
Physiology of the Heart
-
-
Katz, A.1
-
23
-
-
0003734628
-
-
University of Minnesota, Department of Computer Science/Army HPC Research Center, Minneapolis, MN, version 4.0
-
Karypis, G., and V. Kumar. METIS. A Software Packagefor Partitioning Unstructured Graphs, Partitioning Meshes, and Computing Fill-Reducing Orderings of Sparse Matrices. http://www.glaros.dtc.umn.edu/gkhome/metis/metis/overview. University of Minnesota, Department of Computer Science/Army HPC Research Center, Minneapolis, MN, version 4.0, 1998.
-
(1998)
METIS. A Software Packagefor Partitioning Unstructured Graphs, Partitioning Meshes and Computing Fill-Reducing Orderings of Sparse Matrices
-
-
Karypis, G.1
Kumar, V.2
-
25
-
-
0005181403
-
Modeling impulse propagation and extracellular potential distributions in anisotropic cardiac tissue using a finite volume discretization
-
Penland, R. C., D.M.Harrild, and C. S. Heniquez. Modeling impulse propagation and extracellular potential distributions in anisotropic cardiac tissue using a finite volume discretization. Comput. Visualizat. Sci. 4:215-226, 2000.
-
(2000)
Comput. Visualizat. Sci.
, vol.4
, pp. 215-226
-
-
Penland, R.C.1
Harrild, D.M.2
Heniquez, C.S.3
-
26
-
-
0032845277
-
An advanced algorithm forsolving partial differential equations in cardiac conduction
-
Qu, Z., and A. Garfinkel. An advanced algorithm forsolving partial differential equations in cardiac conduction. IEEE Trans. Biomed. Eng. 46: 1166-1168, 1999.
-
(1999)
IEEE Trans. Biomed. Eng.
, vol.46
, pp. 1166-1168
-
-
Qu, Z.1
Garfinkel, A.2
-
28
-
-
0028483993
-
A collocation-Galerkin finite element model of cardiac action potential propagation
-
Rogers, J. M., and A. D. McCulloch. A collocation-Galerkin finite element model of cardiac action potential propagation. IEEE Trans. Biomed. Eng. 41:743-757, 1994.
-
(1994)
IEEE Trans. Biomed. Eng.
, vol.41
, pp. 743-757
-
-
Rogers, J.M.1
McCulloch, A.D.2
-
29
-
-
39749191084
-
Heart disease and stroke statistics-2008
-
Rosamond, W., et al. Heart disease and stroke statistics-2008. Circulation 117:e25-e146, 2008.
-
(2008)
Circulation
, vol.117
-
-
Rosamond, W.1
-
30
-
-
0033926678
-
A numerical efficient method for simulation of defibrillation in an active bidomain sheet of myocardium
-
Skouibine, K., N. Trayanova, and P. Moore. A numerical efficient method for simulation of defibrillation in an active bidomain sheet of myocardium. Math. Biosci. 116:85-100, 2000.
-
(2000)
Math. Biosci.
, vol.116
, pp. 85-100
-
-
Skouibine, K.1
Trayanova, N.2
Moore, P.3
-
31
-
-
0035499484
-
Extension of high-order compact schemes to time-dependent problems
-
Spotz, W. F., and G. F. Carey. Extension of high-order compact schemes to time-dependent problems. Numer. Methods Partial. Differ. Eq. 17:657-672, 2001.
-
(2001)
Numer. Methods Partial. Differ. Eq.
, vol.17
, pp. 657-672
-
-
Spotz, W.F.1
Carey, G.F.2
-
32
-
-
0001518684
-
On the construction and comparison of difference schemes
-
Strang G. On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5(3):506-517, 1968.
-
(1968)
SIAM J. Numer. Anal.
, vol.5
, Issue.3
, pp. 506-517
-
-
Strang, G.1
-
33
-
-
33746038887
-
On the computational complexity of the bidomain and the monodomain models of electrophysiology
-
Sundnes, J., B. F. Nielsen, K. A. Mardal, X. Cai, G. T. Lines, and A. Tveito. On the computational complexity of the bidomain and the monodomain models of electrophysiology. Ann. Biomed. Eng. 34:1088-1097, 2006.
-
(2006)
Ann. Biomed. Eng.
, vol.34
, pp. 1088-1097
-
-
Sundnes, J.1
Nielsen, B.F.2
Mardal, K.A.3
Cai, X.4
Lines, G.T.5
Tveito, A.6
-
34
-
-
0033846133
-
Inhomogeneous transmural conduction during early ischaemia in patients with coronary artery disease
-
Taggart, P., P.M. Sutton, T. Opthof,R.Coronel, T.Richard, W. Pugsley, and P. Kallis. Inhomogeneous transmural conduction during early ischaemia in patients with coronary artery disease. J. Mol. Cell Cardiol. 32(4):621-630, 2000.
-
(2000)
J. Mol. Cell Cardiol.
, vol.32
, Issue.4
, pp. 621-630
-
-
Taggart, P.1
Sutton, P.M.2
Opthof, T.3
Coronel, R.4
Richard, T.5
Pugsley, W.6
Kallis, P.7
-
35
-
-
1642336146
-
A model of human ventricular tissue
-
ten Tusscher, K. H.W. J., D. Noble, P. J. Noble, and A.V. Panfilov. A model of human ventricular tissue. Am. J. Physiol. Heart Circ. Physiol. 286:H1573-H1589, 2004.
-
(2004)
Am. J. Physiol. Heart Circ. Physiol.
, vol.286
-
-
Ten Tusscher, K.H.W.J.1
Noble, D.2
Noble, P.J.3
Panfilov, A.V.4
-
37
-
-
2442572165
-
Operator splitting andadaptive mesh refinement for the Luo-Rudy i model
-
Trangenstein, J. A., and C. H. Kim. Operator splitting andadaptive mesh refinement for the Luo-Rudy I model. J. Comput. Phys. 196:645-679, 2004.
-
(2004)
J. Comput. Phys.
, vol.196
, pp. 645-679
-
-
Trangenstein, J.A.1
Kim, C.H.2
-
38
-
-
34047149139
-
Computer simulations of cardiac defibrillation: A look inside the heart
-
Trayanova, N., J. Eason, and F. Aguel. Computer simulations of cardiac defibrillation: a look inside the heart. Comput. Vis. Sci. 4:259-270, 2002.
-
(2002)
Comput. Vis. Sci.
, vol.4
, pp. 259-270
-
-
Trayanova, N.1
Eason, J.2
Aguel, F.3
-
39
-
-
35248866317
-
Physiology driven adaptivity for the numerical solution of the bidomain equations
-
Whiteley, J. P. Physiology driven adaptivity for the numerical solution of the bidomain equations. Ann. Biomed. Eng. 35(9):1510-1520, 2007.
-
(2007)
Ann. Biomed. Eng.
, vol.35
, Issue.9
, pp. 1510-1520
-
-
Whiteley, J.P.1
-
40
-
-
49049105450
-
An efficient technique for the numerical solution of the bidomain equations
-
Whiteley, J. An efficient technique for the numerical solution of the bidomain equations. Ann. Biomed. Eng. 36(8):1398-1408, 2008.
-
(2008)
Ann. Biomed. Eng.
, vol.36
, Issue.8
, pp. 1398-1408
-
-
Whiteley, J.1
-
41
-
-
84985376290
-
The static condensation algorithm
-
Wilson, E. L. The static condensation algorithm. Int. J.Numer. Methods Eng. 8(1):198-203, 1974.
-
(1974)
Int. J.Numer. Methods Eng.
, vol.8
, Issue.1
, pp. 198-203
-
-
Wilson, E.L.1
-
42
-
-
0003453202
-
-
Butterworth-Heinemann, Burlington, MA: Elsevier
-
Zienkiewicz, O. C., and R. L. Taylor. Finite Element Method, Vol.1. Butterworth-Heinemann, Burlington, MA: Elsevier, 752 pp., 2005.
-
(2005)
Finite Element Method
, vol.1
-
-
Zienkiewicz, O.C.1
Taylor, R.L.2
|