-
1
-
-
84991545251
-
On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model
-
L. Ambrosio, P. Colli Franzone, and G. Savaré, On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model, Interfaces Free Bound., 2(3), (2000), 213–266.
-
(2000)
Interfaces Free Bound
, vol.2
, Issue.3
, pp. 213-266
-
-
Ambrosio, L.1
Colli Franzone, P.2
Savaré, G.3
-
2
-
-
0017370379
-
Reconstruction of the action potential of ventricular myocardial fibres
-
G. W. Beeler and H. Reuter, Reconstruction of the action potential of ventricular myocardial fibres, J. Physiol., 268(1), (1977), 177–210.
-
(1977)
J. Physiol
, vol.268
, Issue.1
, pp. 177-210
-
-
Beeler, G. W.1
Reuter, H.2
-
3
-
-
0035842861
-
Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems
-
D. Blanchard, F. Murat, and H. Redwane, Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems, J. Differential Equations, 177(2), (2001), 331–374.
-
(2001)
J. Differential Equations
, vol.177
, Issue.2
, pp. 331-374
-
-
Blanchard, D.1
Murat, F.2
Redwane, H.3
-
4
-
-
0031570588
-
Nonlinear parabolic equations with measure data
-
L. Boccardo, A. Dall’Aglio, T. Gallouët, and L. Orsina, Nonlinear parabolic equations with measure data, J. Funct. Anal., 147(1), (1997), 237–258.
-
(1997)
J. Funct. Anal
, vol.147
, Issue.1
, pp. 237-258
-
-
Boccardo, L.1
Dall’Aglio, A.2
Gallouët, T.3
Orsina, L.4
-
5
-
-
0000287338
-
Existence of bounded solutions for nonlinear elliptic unilateral problems
-
L. Boccardo, F. Murat, and J.-P. Puel, Existence of bounded solutions for nonlinear elliptic unilateral problems, Ann. Mat. Pura Appl. 152(4), (1988), 183–196.
-
(1988)
Ann. Mat. Pura Appl
, vol.152
, Issue.4
, pp. 183-196
-
-
Boccardo, L.1
Murat, F.2
Puel, J.-P.3
-
6
-
-
0004199058
-
Singular and degenerate Cauchy problems
-
Academic Press [Harcourt Brace Jovanovich Publishers], New York
-
R. W. Carroll and R. E. Showalter, Singular and degenerate Cauchy problems. Mathematics in Science and Engineering, Vol. 127. Academic Press [Harcourt Brace Jovanovich Publishers], New York, 1976.
-
(1976)
Mathematics in Science and Engineering
, vol.127
-
-
Carroll, R. W.1
Showalter, R. E.2
-
7
-
-
84918653726
-
Macroscopic cardiac source model and propagation waves in excitable media
-
Kluwer Acad. Publ., Dordrecht
-
P. Colli Franzone, L. Guerri, and S. Rovida, Macroscopic cardiac source model and propagation waves in excitable media. In Biomathematics and related computational problems (Naples, 1987), pages 615–627. Kluwer Acad. Publ., Dordrecht, 1988.
-
(1988)
Biomathematics and related computational problems (Naples, 1987)
, pp. 615-627
-
-
Colli Franzone, P.1
Guerri, L.2
Rovida, S.3
-
8
-
-
0025026858
-
Wavefront propagation in an activation model of the anisotropic cardiac tissue: asymptotic analysis and numerical simulations
-
P. Colli Franzone, L. Guerri, and S. Rovida, Wavefront propagation in an activation model of the anisotropic cardiac tissue: asymptotic analysis and numerical simulations, J. Math. Biol., 28(2), (1990), 121–176.
-
(1990)
J. Math. Biol
, vol.28
, Issue.2
, pp. 121-176
-
-
Colli Franzone, P.1
Guerri, L.2
Rovida, S.3
-
9
-
-
51249173272
-
Finite element approximation of regularized solutions of the inverse potential problem of electrocardiography and applications to experimental data
-
P. Colli Franzone, L. Guerri, B. Taccardi, and C. Viganotti, Finite element approximation of regularized solutions of the inverse potential problem of electrocardiography and applications to experimental data, Calcolo, 22(1), (1985), 91–186.
-
(1985)
Calcolo
, vol.22
, Issue.1
, pp. 91-186
-
-
Colli Franzone, P.1
Guerri, L.2
Taccardi, B.3
Viganotti, C.4
-
10
-
-
7244228938
-
Degenerate evolution systems modeling the cardiac electric field at micro-and macroscopic level
-
pages Birkhäuser, Basel
-
P. Colli Franzone and G. Savaré, Degenerate evolution systems modeling the cardiac electric field at micro-and macroscopic level, In Evolution equations, semigroups and functional analysis (Milano, 2000), volume 50 of Progr. Nonlinear Differential Equations Appl., pages 49–78. Birkhäuser, Basel, 2002.
-
(2002)
Evolution equations, semigroups and functional analysis (Milano, 2000), volume 50 of Progr. Nonlinear Differential Equations Appl
, pp. 49-78
-
-
Colli Franzone, P.1
Savaré, G.2
-
12
-
-
0000132534
-
Implicit degenerate evolution equations and applications
-
E. DiBenedetto and R. E. Showalter, Implicit degenerate evolution equations and applications, SIAM J. Math. Anal., 12(5), (1981), 731–751.
-
(1981)
SIAM J. Math. Anal
, vol.12
, Issue.5
, pp. 731-751
-
-
DiBenedetto, E.1
Showalter, R. E.2
-
14
-
-
0027447573
-
Simulating the electrical behavior of cardiac tissue using the biodomain models
-
C. S. Henriquez, Simulating the electrical behavior of cardiac tissue using the biodomain models, Crit. Rev. Biomed. Engr., 21 (1983), 1–77.
-
(1983)
Crit. Rev. Biomed. Engr
, vol.21
, pp. 1-77
-
-
Henriquez, C. S.1
-
15
-
-
35649001607
-
A quantitative description of membrane current and its application to conduction and excitation in nerve
-
A. L. Hodgkin and A. F. Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve, J. Physiol., 117(4), (1952), 500–544.
-
(1952)
J. Physiol
, vol.117
, Issue.4
, pp. 500-544
-
-
Hodgkin, A. L.1
Huxley, A. F.2
-
17
-
-
84971184246
-
On the existence of weak solutions for quasilinear parabolic initial-boundary value problems
-
R. Landes, On the existence of weak solutions for quasilinear parabolic initial-boundary value problems, Proc. Roy. Soc. Edinburgh Sect. A, 89(3-4), (1981), 217–237.
-
(1981)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.89
, Issue.3-4
, pp. 217-237
-
-
Landes, R.1
-
18
-
-
1542373397
-
Mathematical models and numerical methods for the forward problem in cardiac electrophysiology
-
G. Lines, M. L. Buist, P. Grøttum, A. J. Pullan, J. Sundnes, and A. Tveito, Mathematical models and numerical methods for the forward problem in cardiac electrophysiology, Computing and Visualization in Science, 5(4), (2003), 215–239.
-
(2003)
Computing and Visualization in Science
, vol.5
, Issue.4
, pp. 215-239
-
-
Lines, G.1
Buist, M. L.2
Grøttum, P.3
Pullan, A. J.4
Sundnes, J.5
Tveito, A.6
-
20
-
-
0025891531
-
A model of the ventricular cardiac action potential. depolarization, repolarization, and their interaction
-
C.-H. Luo and Y. Rudy, A model of the ventricular cardiac action potential. depolarization, repolarization, and their interaction, Circ Res., 68(6), (1991), 1501–1526.
-
(1991)
Circ Res
, vol.68
, Issue.6
, pp. 1501-1526
-
-
Luo, C.-H.1
Rudy, Y.2
-
21
-
-
0020071283
-
Accurate computation of the stable solitary wave for the FitzHugh-Nagumo equations
-
(/82)
-
R. M. Miura, Accurate computation of the stable solitary wave for the FitzHugh-Nagumo equations, J. Math. Biol., 13(3), (1981/82), 247–269.
-
(1981)
J. Math. Biol
, vol.13
, Issue.3
, pp. 247-269
-
-
Miura, R. M.1
-
22
-
-
73849164199
-
A modification of the Hodgkin-Huxley equation applicable to Purkinje fibre action and pacemaker potentials
-
D. Noble, A modification of the Hodgkin-Huxley equation applicable to Purkinje fibre action and pacemaker potentials, J. Physiol., 160 (1962), 317–352.
-
(1962)
J. Physiol
, vol.160
, pp. 317-352
-
-
Noble, D.1
-
23
-
-
0141496722
-
Existence results for nonlinear parabolic equations via strong convergence of truncations
-
A. Porretta, Existence results for nonlinear parabolic equations via strong convergence of truncations, Ann. Mat. Pura Appl., 177(4), (1999), 143–172.
-
(1999)
Ann. Mat. Pura Appl
, vol.177
, Issue.4
, pp. 143-172
-
-
Porretta, A.1
-
24
-
-
0003419908
-
-
Springer-Verlag, New York, second edition
-
M. Renardy and R. C. Rogers, An introduction to partial differential equations, volume 13 of Texts in Applied Mathematics, Springer-Verlag, New York, second edition, 2004.
-
(2004)
An introduction to partial differential equations, volume 13 of Texts in Applied Mathematics
-
-
Renardy, M.1
Rogers, R. C.2
-
26
-
-
0346850612
-
Numerical and analytic study of a parabolic-ordinary system modelling cardiac activation under equal anisotropy conditions
-
S. Sanfelici, Numerical and analytic study of a parabolic-ordinary system modelling cardiac activation under equal anisotropy conditions, Riv. Mat. Univ. Parma (5), 5 (1996), 143–157.
-
(1996)
Riv. Mat. Univ. Parma
, vol.5
, Issue.5
, pp. 143-157
-
-
Sanfelici, S.1
-
27
-
-
0036495353
-
Convergence of the Galerkin approximation of a degenerate evolution problem in electrocardiology
-
S. Sanfelici, Convergence of the Galerkin approximation of a degenerate evolution problem in electrocardiology, Numer. Methods Partial Differential Equations, 18(2), (2002), 218–240.
-
(2002)
Numer. Methods Partial Differential Equations
, vol.18
, Issue.2
, pp. 218-240
-
-
Sanfelici, S.1
-
28
-
-
34250112428
-
p (0, T; B)
-
p (0, T; B), Ann. Mat. Pura Appl. (4), 146 (1987), 65–96.
-
(1987)
Ann. Mat. Pura Appl
, vol.146
, Issue.4
, pp. 65-96
-
-
Simon, J.1
-
29
-
-
33744985167
-
-
Accepted for publication by Springer-Verlag. SpringerVerlag
-
J. Sundnes, G. T. Lines, X. Cai, B. F. Nielsen, K.-A. Mardal, and A. Tveito, Computing the electrical activity in the human heart. Accepted for publication by Springer-Verlag. SpringerVerlag, 2005.
-
(2005)
Computing the electrical activity in the human heart
-
-
Sundnes, J.1
Lines, G. T.2
Cai, X.3
Nielsen, B. F.4
Mardal, K.-A.5
Tveito, A.6
-
30
-
-
17844407146
-
An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso
-
J. Sundnes, G. T. Lines, and A. Tveito, An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso, Mathematical biosciences, 194(2), (2005), 233–248.
-
(2005)
Mathematical biosciences
, vol.194
, Issue.2
, pp. 233-248
-
-
Sundnes, J.1
Lines, G. T.2
Tveito, A.3
-
31
-
-
0033583266
-
Mechanisms of altered excitation-contraction coupling in canine tachycardia-induced heart failure, II: model studies
-
R. L. Winslow, J. Rice, S. Jafri, E. Marban, and B. O’Rourke, Mechanisms of altered excitation-contraction coupling in canine tachycardia-induced heart failure, II: model studies, Circ. Res., 84(5), (1999), 571–586.
-
(1999)
Circ. Res
, vol.84
, Issue.5
, pp. 571-586
-
-
Winslow, R. L.1
Rice, J.2
Jafri, S.3
Marban, E.4
O’Rourke, B.5
|