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Volumn 3, Issue 4, 2008, Pages

Cardiac alternans arising from an unfolded border-collision bifurcation

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL DURATIONS; ACTION POTENTIALS; ANALYTICAL SOLUTIONS; CARDIAC ALTERNANS; CARDIAC MODELS; CARDIAC TISSUES; COLLISION BIFURCATIONS; COLLISION MODELS; CONSTANT VALUES; CRITICAL VALUES; CROSS-OVER; ELECTRICAL STIMULUS; FUTURE MODELS; MEDICAL LITERATURES; NONSMOOTH; PACING RATES; PERIODIC TRAINS; TRANSMEMBRANE VOLTAGES;

EID: 55049094222     PISSN: 15551423     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2960467     Document Type: Article
Times cited : (12)

References (33)
  • 1
    • 55049102227 scopus 로고    scopus 로고
    • http://www.americanheart.org/.
  • 3
    • 0033574271 scopus 로고    scopus 로고
    • Mechanism Linking T-Wave Altemans to the Genesis of Cardiac Fibrillation
    • Pastore, J. M., Girouard, S. D., Laurita, K. R., Akar, F. G., and Rosenbaum D S., 1999, "Mechanism Linking T-Wave Altemans to the Genesis of Cardiac Fibrillation," Circulation, 99, pp. 1385-1394.
    • (1999) Circulation , vol.99 , pp. 1385-1394
    • Pastore, J.M.1    Girouard, S.D.2    Laurita, K.R.3    Akar, F.G.4    Rosenbaum, D.S.5
  • 5
    • 0033176178 scopus 로고    scopus 로고
    • Electrical Restitution, Critical Mass, and the Riddle of Fibrillation
    • Gilmour, R. F., Jr. and Chialvo, D. R., 1999, "Electrical Restitution, Critical Mass, and the Riddle of Fibrillation," J. Cardiovasc. Electrophysiol., 10, pp. 1087-1089.
    • (1999) J. Cardiovasc. Electrophysiol , vol.10 , pp. 1087-1089
    • Gilmour Jr., R.F.1    Chialvo, D.R.2
  • 7
    • 85107191021 scopus 로고    scopus 로고
    • Spiral Breakup as a Model of Ventricular Fibrillation
    • Panfilov, A., 1998, "Spiral Breakup as a Model of Ventricular Fibrillation," Chaos, 8, pp. 57-64.
    • (1998) Chaos , vol.8 , pp. 57-64
    • Panfilov, A.1
  • 8
    • 0014318908 scopus 로고
    • A Graphic Method for the Study of Alternation in Cardiac Action Potentials
    • Nolasco, J. B., and Dahlen, R. W, 1968, "A Graphic Method for the Study of Alternation in Cardiac Action Potentials," J. Appl. Physiol., 25, pp. 191-196.
    • (1968) J. Appl. Physiol , vol.25 , pp. 191-196
    • Nolasco, J.B.1    Dahlen, R.W.2
  • 9
    • 0025105082 scopus 로고
    • Supernormal Excitability as a Mechanism of Chaotic Dynamics of Activation in Cardiac Purkinje-Fibers
    • Chialvo, D. R., Michaels, D. C., and Jalife, J., 1990, "Supernormal Excitability as a Mechanism of Chaotic Dynamics of Activation in Cardiac Purkinje-Fibers," Circ. Res., 66, pp. 525-545.
    • (1990) Circ. Res , vol.66 , pp. 525-545
    • Chialvo, D.R.1    Michaels, D.C.2    Jalife, J.3
  • 10
    • 0037163822 scopus 로고    scopus 로고
    • Period-Doubling Instability and Memory in Cardiac Tissue
    • Fox, J. J., Bodenschatz, E., and Gilmour, R. F., 2002, "Period-Doubling Instability and Memory in Cardiac Tissue," Phys. Rev. Lett., 89, pp. 138101.
    • (2002) Phys. Rev. Lett , vol.89 , pp. 138101
    • Fox, J.J.1    Bodenschatz, E.2    Gilmour, R.F.3
  • 11
    • 0037071377 scopus 로고    scopus 로고
    • Experimental Control of Cardiac Muscle Altemans
    • Hall, G. M., and Gauthier, D. J., 2002, "Experimental Control of Cardiac Muscle Altemans," Phys. Rev. Lett., 88, pp. 198102.
    • (2002) Phys. Rev. Lett , vol.88 , pp. 198102
    • Hall, G.M.1    Gauthier, D.J.2
  • 12
    • 84899749838 scopus 로고    scopus 로고
    • Condition for Alternans and Its Control in a Two-Dimensional Mapping Model of Paced Cardiac Dynamics
    • Tolkacheva, E. G., Romeo, M. M., Guerraty, M., and Gauthier, D. J., 2004, "Condition for Alternans and Its Control in a Two-Dimensional Mapping Model of Paced Cardiac Dynamics," Phys. Rev. E, 69, pp. 031904.
    • (2004) Phys. Rev. E , vol.69 , pp. 031904
    • Tolkacheva, E.G.1    Romeo, M.M.2    Guerraty, M.3    Gauthier, D.J.4
  • 15
    • 0028937917 scopus 로고
    • Altemans and Period-Doubling Bifurcations in Atrioventricular Nodal Conduction
    • Sun, J., Amellal, F., Glass, L., and Billette, J., 1995, "Altemans and Period-Doubling Bifurcations in Atrioventricular Nodal Conduction," J. Theor. Biol., 173, pp. 79 91.
    • (1995) J. Theor. Biol , vol.173 , pp. 79-91
    • Sun, J.1    Amellal, F.2    Glass, L.3    Billette, J.4
  • 16
    • 10444223791 scopus 로고    scopus 로고
    • Border Collision Bifurcation Controt of Cardiac Altemans
    • Hassouneh, M. A., and Abed, E. H., 2004, "Border Collision Bifurcation Controt of Cardiac Altemans," Int. J. Bifurcation Chaos Appl. Sci. Eng., 14, pp. 3303-3315.
    • (2004) Int. J. Bifurcation Chaos Appl. Sci. Eng , vol.14 , pp. 3303-3315
    • Hassouneh, M.A.1    Abed, E.H.2
  • 18
    • 45149125634 scopus 로고    scopus 로고
    • Beyond Slope One: Alternans Suppression and Other Understudied Properties of APD Restitution
    • Kavli Institute for Theoretical Physics, Santa Barbara, CA, Jul. 28
    • Fenton, E, 2006, "Beyond Slope One: Alternans Suppression and Other Understudied Properties of APD Restitution," KITP Miniprogram on Cardiac Dynamics, Kavli Institute for Theoretical Physics, Santa Barbara, CA, Jul. 28.
    • (2006) KITP Miniprogram on Cardiac Dynamics
    • Fenton, E.1
  • 19
    • 33846335191 scopus 로고    scopus 로고
    • A Tale of Two Dogs: Analyzing Two Models of Canine Ventricular Electrophysiology
    • Cherry, E. M., and Fenton, F. H., 2007, "A Tale of Two Dogs: Analyzing Two Models of Canine Ventricular Electrophysiology," Am. J. Physiol. Heart Circ. Physiol., 292, pp. H43-H55.
    • (2007) Am. J. Physiol. Heart Circ. Physiol , vol.292
    • Cherry, E.M.1    Fenton, F.H.2
  • 22
    • 33947130306 scopus 로고    scopus 로고
    • Small Signal Amplification of Period-Doubling Bifurcations in Smooth Iterated Maps
    • Zhao, X., Schaeffer, D. G., Berger, C. M., and Gauthier, D. J., 2007, "Small Signal Amplification of Period-Doubling Bifurcations in Smooth Iterated Maps," Nonlinear Dyn., 48, pp. 381-389.
    • (2007) Nonlinear Dyn , vol.48 , pp. 381-389
    • Zhao, X.1    Schaeffer, D.G.2    Berger, C.M.3    Gauthier, D.J.4
  • 23
    • 35148843633 scopus 로고    scopus 로고
    • Alternate Pacing Border-Collision Period-Doubling Bifurcations
    • Zhao, X.,- and Schaeffer, D. G., 2007, "Alternate Pacing Border-Collision Period-Doubling Bifurcations," Nonlinear Dyn., 50, pp. 733-742.
    • (2007) Nonlinear Dyn , vol.50 , pp. 733-742
    • Zhao, X.1    Schaeffer, D.G.2
  • 24
    • 55049123922 scopus 로고    scopus 로고
    • Evidence of an Unfolded Border-Collision Bifureation in Paced Cardiac Tissue
    • Kavli Institute for Theoretical Physics, Santa Barbara, CA, Jul. 13
    • Zhao, X., Schaeffer, D. G., Berger, C. M., Gauthier, D. J., and Krassowska, W., 2006, "Evidence of an Unfolded Border-Collision Bifureation in Paced Cardiac Tissue," KITP Mimprogram on Cardiac Dynamics, Kavli Institute for Theoretical Physics, Santa Barbara, CA, Jul. 13.
    • (2006) KITP Mimprogram on Cardiac Dynamics
    • Zhao, X.1    Schaeffer, D.G.2    Berger, C.M.3    Gauthier, D.J.4    Krassowska, W.5
  • 25
    • 34547498231 scopus 로고    scopus 로고
    • Period-Doubling Bifurcation to Altemans in Paced Cardiac Tissue: Crossover From Smooth to Border-Collision Characteristics
    • Berger, C. M., Zhao, X., Schaeffer, D. G., Dobrovolny, H., Krassowska, W., and Gauthier, D. J., 2007, "Period-Doubling Bifurcation to Altemans in Paced Cardiac Tissue: Crossover From Smooth to Border-Collision Characteristics," Phys. Rev. Lett., 99, pp. 058101.
    • (2007) Phys. Rev. Lett , vol.99 , pp. 058101
    • Berger, C.M.1    Zhao, X.2    Schaeffer, D.G.3    Dobrovolny, H.4    Krassowska, W.5    Gauthier, D.J.6
  • 26
    • 0000184960 scopus 로고
    • Virtual Hopf Phenomenon: A New Precursor of Period-Doubling Bifurcations
    • Wiesenfeld, K., 1985, "Virtual Hopf Phenomenon: A New Precursor of Period-Doubling Bifurcations," Phys. Rev. A, 32, pp. 1744-1751.
    • (1985) Phys. Rev. A , vol.32 , pp. 1744-1751
    • Wiesenfeld, K.1
  • 27
    • 0000747614 scopus 로고    scopus 로고
    • Wiesenfeld, K. and McNamara, B., 1986, Small-Signal Amplification in Bifurcating Dynamical Systems, Phys. Rev. A, 33, pp. 629-642; 1986, Erraturn: Small-Signal Amplification in Bifurcating Dynamical Systems [Phys. Rev. A 33, 629 (1986)], Phys. Rev. A, 33, p. 3578(E).
    • Wiesenfeld, K. and McNamara, B., 1986, "Small-Signal Amplification in Bifurcating Dynamical Systems," Phys. Rev. A, 33, pp. 629-642; 1986, "Erraturn: Small-Signal Amplification in Bifurcating Dynamical Systems [Phys. Rev. A 33, 629 (1986)]," Phys. Rev. A, 33, p. 3578(E).
  • 28
    • 0344872774 scopus 로고    scopus 로고
    • Nonlinear Saturation of Prebifunction Noise Amplification
    • Kravtsov, Yu. A., and Surovyatkina, E. D., 2003, "Nonlinear Saturation of Prebifunction Noise Amplification," Phys. Lett. A, 319, pp. 348-351.
    • (2003) Phys. Lett. A , vol.319 , pp. 348-351
    • Kravtsov, Y.A.1    Surovyatkina, E.D.2
  • 29
    • 3843120869 scopus 로고    scopus 로고
    • Rise and Saturation of the Correlation Time Near Bifurcation Threshold
    • Surovyatkina, E. D., 2004, "Rise and Saturation of the Correlation Time Near Bifurcation Threshold," Phys. Lett. A, 329, pp. 169-172.
    • (2004) Phys. Lett. A , vol.329 , pp. 169-172
    • Surovyatkina, E.D.1
  • 30
    • 0345978649 scopus 로고
    • Linear and Nonlinear Response of Discrete Dynamical Systems 1. Periodic Attractors
    • Heldstab, J., Thomas, H., Geisel, T., and Randons, G., 1983, "Linear and Nonlinear Response of Discrete Dynamical Systems 1. Periodic Attractors," Z. Phys. B: Condens. Matter, 50, pp. 141-150.
    • (1983) Z. Phys. B: Condens. Matter , vol.50 , pp. 141-150
    • Heldstab, J.1    Thomas, H.2    Geisel, T.3    Randons, G.4
  • 31
    • 0021642311 scopus 로고
    • Electrical Altemans and Period-Doubling Bifurcations
    • IEEE Computers Society, Silver Spring, MD, pp
    • Guevara, M. R., Ward, G., Shrier, A., and Glass, L., 1984, "Electrical Altemans and Period-Doubling Bifurcations," Proceedings of IEEE Computers in Cardiology, IEEE Computers Society, Silver Spring, MD, pp. 167-170.
    • (1984) Proceedings of IEEE Computers in Cardiology , pp. 167-170
    • Guevara, M.R.1    Ward, G.2    Shrier, A.3    Glass, L.4
  • 32
    • 55049101596 scopus 로고    scopus 로고
    • Special Issue on Discontinuous Dynamical Systems
    • Shukla, A., and Zhao, X., 2007, "Special Issue on Discontinuous Dynamical Systems," Nonlinear Dyn., 50, pp. 373-742.
    • (2007) Nonlinear Dyn , vol.50 , pp. 373-742
    • Shukla, A.1    Zhao, X.2
  • 33
    • 35148835548 scopus 로고    scopus 로고
    • On the Purposeful Coarsening of Smooth Vector Fields
    • Dankowiez, H., 2007, "On the Purposeful Coarsening of Smooth Vector Fields," Nonlinear Dyn., 50, pp. 511-522
    • (2007) Nonlinear Dyn , vol.50 , pp. 511-522
    • Dankowiez, H.1


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