메뉴 건너뛰기




Volumn 184, Issue 2, 2007, Pages 276-290

Optimal monodomain approximations of the bidomain equations

Author keywords

Bidomain and monodomain models; Electrical behavior of cardiac tissue; Output least squares

Indexed keywords

COMPUTATION THEORY; DIFFERENCE EQUATIONS; ELECTRIC POTENTIAL; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 33846609511     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.05.158     Document Type: Article
Times cited : (37)

References (28)
  • 1
    • 0017370379 scopus 로고
    • Reconstruction of the action potential of ventricular myocardial fibres
    • Beeler G.W., and Reuter H. Reconstruction of the action potential of ventricular myocardial fibres. J. Physiol. 268 (1977) 177-210
    • (1977) J. Physiol. , vol.268 , pp. 177-210
    • Beeler, G.W.1    Reuter, H.2
  • 2
    • 33846597255 scopus 로고    scopus 로고
    • Cellml. Available from: .
  • 3
    • 0022422465 scopus 로고
    • A model of cardiac electrical activity incoportating ionic pumps and concentration changes
    • DiFrancesco D., and Noble D. A model of cardiac electrical activity incoportating ionic pumps and concentration changes. Philos. Trans. Roy. Soc. Lond. Biol. 307 (1985) 353-398
    • (1985) Philos. Trans. Roy. Soc. Lond. Biol. , vol.307 , pp. 353-398
    • DiFrancesco, D.1    Noble, D.2
  • 5
    • 53349102813 scopus 로고
    • Impulses and physiological states in theoretical models of nerve membrane
    • FitzHugh R.A. Impulses and physiological states in theoretical models of nerve membrane. Biophys. J. 1 (1961) 445-466
    • (1961) Biophys. J. , vol.1 , pp. 445-466
    • FitzHugh, R.A.1
  • 6
    • 0025149742 scopus 로고
    • Mathematical modeling of the excitation process in myocardial tissue: influence of fiber rotations on wavefront propagation and potential field
    • Colli Franzone P., Guerri L., and Tentoni S. Mathematical modeling of the excitation process in myocardial tissue: influence of fiber rotations on wavefront propagation and potential field. Math. Biosci. 101 (1990) 155-235
    • (1990) Math. Biosci. , vol.101 , pp. 155-235
    • Colli Franzone, P.1    Guerri, L.2    Tentoni, S.3
  • 8
    • 0027447573 scopus 로고
    • Simulating the electrical behavior of cardiac tissue using the bidomain model
    • Henriquez C.S. Simulating the electrical behavior of cardiac tissue using the bidomain model. Crit. Rev. Biomed. Eng. 21 (1993) 1-77
    • (1993) Crit. Rev. Biomed. Eng. , vol.21 , pp. 1-77
    • Henriquez, C.S.1
  • 9
    • 0032946484 scopus 로고    scopus 로고
    • Membrane polarization induced in the myocardium by defibrillation fields: an idealized 3-d finite element bidomain/monodomain torso model
    • Huang Q., Eason J.C., and Claydon F.J. Membrane polarization induced in the myocardium by defibrillation fields: an idealized 3-d finite element bidomain/monodomain torso model. IEEE Trans. Biomed. Eng. 46 1 (1999) 26-34
    • (1999) IEEE Trans. Biomed. Eng. , vol.46 , Issue.1 , pp. 26-34
    • Huang, Q.1    Eason, J.C.2    Claydon, F.J.3
  • 12
    • 0028334466 scopus 로고
    • Effective boundary conditions for syncytial tissue
    • Krassowska W., and Neu J.C. Effective boundary conditions for syncytial tissue. IEEE Trans. Biomed. Eng. 41 (1994) 143-150
    • (1994) IEEE Trans. Biomed. Eng. , vol.41 , pp. 143-150
    • Krassowska, W.1    Neu, J.C.2
  • 13
    • 17844391098 scopus 로고    scopus 로고
    • Modeling the electrical activity of the heart, a bidomain model of the ventricles embedded in a torso
    • Lines G.T., Grøttum P., and Tveito A. Modeling the electrical activity of the heart, a bidomain model of the ventricles embedded in a torso. Comput. Visual. Sci. 5 4 (2002) 195-213
    • (2002) Comput. Visual. Sci. , vol.5 , Issue.4 , pp. 195-213
    • Lines, G.T.1    Grøttum, P.2    Tveito, A.3
  • 14
    • 0025891531 scopus 로고
    • A model of the ventricular cardiac action potential: depolarisation, repolarisation, and their interaction
    • Luo C.H., and Rudy Y. A model of the ventricular cardiac action potential: depolarisation, repolarisation, and their interaction. Circul. Res. 68 (1991) 1501-1526
    • (1991) Circul. Res. , vol.68 , pp. 1501-1526
    • Luo, C.H.1    Rudy, Y.2
  • 15
    • 0028233422 scopus 로고
    • A dynamic model of the cardiac ventricular action potential
    • Luo C.H., and Rudy Y. A dynamic model of the cardiac ventricular action potential. Circul. Res. 74 (1994) 1071-1096
    • (1994) Circul. Res. , vol.74 , pp. 1071-1096
    • Luo, C.H.1    Rudy, Y.2
  • 16
    • 10044241890 scopus 로고    scopus 로고
    • A fully implicit parallel algorithm for simulating the non-linear electrical activity of the heart
    • Murillo M., and Cai X.C. A fully implicit parallel algorithm for simulating the non-linear electrical activity of the heart. Numer. Linear Algebra Appl. 11 (2004) 261-277
    • (2004) Numer. Linear Algebra Appl. , vol.11 , pp. 261-277
    • Murillo, M.1    Cai, X.C.2
  • 17
    • 0032053439 scopus 로고    scopus 로고
    • Bipolar stimulation of a three-dimensional bidomain incorporating rotational anisotropy
    • Muzikant A.L., and Henriquez C.S. Bipolar stimulation of a three-dimensional bidomain incorporating rotational anisotropy. IEEE Trans. Biomed. Eng. 45 (1998) 449-462
    • (1998) IEEE Trans. Biomed. Eng. , vol.45 , pp. 449-462
    • Muzikant, A.L.1    Henriquez, C.S.2
  • 18
    • 6344238035 scopus 로고
    • An active pulse transmission line simulating 1214-nerve axons
    • Nagumo J., Arimoto S., and Yoshizawa S. An active pulse transmission line simulating 1214-nerve axons. Proc. IRL 50 (1960) 2061-2070
    • (1960) Proc. IRL , vol.50 , pp. 2061-2070
    • Nagumo, J.1    Arimoto, S.2    Yoshizawa, S.3
  • 19
    • 0032845277 scopus 로고    scopus 로고
    • An advanced algorithm for solving partial differential equation in cardiac conduction
    • Qu Z., and Garfinkel A. An advanced algorithm for solving partial differential equation in cardiac conduction. IEEE Trans. Biomed. Eng. 46 9 (1999) 1166-1168
    • (1999) IEEE Trans. Biomed. Eng. , vol.46 , Issue.9 , pp. 1166-1168
    • Qu, Z.1    Garfinkel, A.2
  • 20
    • 0034230437 scopus 로고    scopus 로고
    • Increasing the computational efficiency of a bidomain model of defibrillation using a time-dependent activating function
    • Skouibine K., and Krassowska W. Increasing the computational efficiency of a bidomain model of defibrillation using a time-dependent activating function. Biomed. Eng. 28 (2000) 772-780
    • (2000) Biomed. Eng. , vol.28 , pp. 772-780
    • Skouibine, K.1    Krassowska, W.2
  • 21
    • 0033926678 scopus 로고    scopus 로고
    • A numerically efficient model for simulation of defibrillation in an active bidomain sheet of myocardium
    • Skouibine K., Trayanova N., and Moore P. A numerically efficient model for simulation of defibrillation in an active bidomain sheet of myocardium. Math. Biosci. 166 (2000) 85-100
    • (2000) Math. Biosci. , vol.166 , pp. 85-100
    • Skouibine, K.1    Trayanova, N.2    Moore, P.3
  • 23
    • 17844407146 scopus 로고    scopus 로고
    • An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso
    • Sundnes J., Lines G.T., and Tveito A. An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso. Math. Biosci. 194 2 (2005) 233-248
    • (2005) Math. Biosci. , vol.194 , Issue.2 , pp. 233-248
    • Sundnes, J.1    Lines, G.T.2    Tveito, A.3
  • 24
    • 33846633406 scopus 로고    scopus 로고
    • J. Sundnes, B.F. Nielsen, K.A. Mardal, X. Cai, A. Tveito, On the computational complexity of the bidomain and the monodomain models of electrophysiology, Ann. Biomed. Eng., in press.
  • 25
    • 33846577934 scopus 로고    scopus 로고
    • L. Tung, A Bi-domain model for describing ischemic myocardial D-C potentials, Ph.D. thesis, MIT, Cambridge, MA, 1978.
  • 26
    • 43949168390 scopus 로고
    • Simulating cardiac sinus and atrial network dynamics on the connection machine
    • Winslow R.L., Kimball A.L., Varghese A., and Noble D. Simulating cardiac sinus and atrial network dynamics on the connection machine. Physica D 64 (1993) 281-298
    • (1993) Physica D , vol.64 , pp. 281-298
    • Winslow, R.L.1    Kimball, A.L.2    Varghese, A.3    Noble, D.4
  • 27
    • 0033583266 scopus 로고    scopus 로고
    • Mechanisms of altered excitation-contraction coupling in canine tachycardia-induced heart failure, II, model studies
    • Winslow R.L., Rice J., Jafri S., Marban E., and O'Rourke B. Mechanisms of altered excitation-contraction coupling in canine tachycardia-induced heart failure, II, model studies. Circul. Res. 84 (1999) 571-586
    • (1999) Circul. Res. , vol.84 , pp. 571-586
    • Winslow, R.L.1    Rice, J.2    Jafri, S.3    Marban, E.4    O'Rourke, B.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.