메뉴 건너뛰기




Volumn 18, Issue 8, 2008, Pages 2289-2308

Pulse dynamics in coupled excitable fibers: Soliton-like collision, phase locking, and recombination

Author keywords

Coupled reaction diffusion systems; Excitable media; FitzHugh agumo equation; Pulse dynamics; Soliton like ollision; Synchronization

Indexed keywords

DIFFUSION IN LIQUIDS; DYNAMIC MODELS; DYNAMICS; LOCKS (FASTENERS); SOLITONS; SYNCHRONIZATION;

EID: 54949136506     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127408021713     Document Type: Article
Times cited : (2)

References (55)
  • 1
    • 33644663873 scopus 로고    scopus 로고
    • Combined analog and action potential coding in hippocampal mossy fibers
    • Alle, H. & Geiger, J. R. P. [2006] "Combined analog and action potential coding in hippocampal mossy fibers," Science 311, 1290-1293.
    • (2006) Science , vol.311 , pp. 1290-1293
    • Alle, H.1    Geiger, J.R.P.2
  • 2
    • 0015894753 scopus 로고
    • Circus movement in rabbit atrial muscle as a mechanism of tachycardia
    • Allesie, M. A., Bonke, F. I. M. & Schopman, F. J. G. [1973] "Circus movement in rabbit atrial muscle as a mechanism of tachycardia," Circ. Res. 33, 54-62.
    • (1973) Circ. Res , vol.33 , pp. 54-62
    • Allesie, M.A.1    Bonke, F.I.M.2    Schopman, F.J.G.3
  • 3
    • 0000624051 scopus 로고    scopus 로고
    • Colliding waves in a model excitable medium: Preservation, annihilation, and bifurcation
    • Argentina, M., Coullet, P. & Mahadevan, L. [1997] "Colliding waves in a model excitable medium: Preservation, annihilation, and bifurcation," Phys. Rev. Lett. 79, 2803-2806.
    • (1997) Phys. Rev. Lett , vol.79 , pp. 2803-2806
    • Argentina, M.1    Coullet, P.2    Mahadevan, L.3
  • 4
    • 0034616964 scopus 로고    scopus 로고
    • Head-on collisions of waves in an excitable FitzHugh-Nagumo system: A transition from wave annihilation to classical wave behavior
    • Argentina, M., Coullet, P. & Krinsky, V. [2000] "Head-on collisions of waves in an excitable FitzHugh-Nagumo system: A transition from wave annihilation to classical wave behavior," J. Theor. Biol. 205, 47-52.
    • (2000) J. Theor. Biol , vol.205 , pp. 47-52
    • Argentina, M.1    Coullet, P.2    Krinsky, V.3
  • 5
    • 0001781564 scopus 로고
    • Effects evoked in an axon by the activity of a contiguous one
    • Arvanitaki, A. [1942] "Effects evoked in an axon by the activity of a contiguous one," J. Neurophys. 5, 89-108.
    • (1942) J. Neurophys , vol.5 , pp. 89-108
    • Arvanitaki, A.1
  • 6
    • 0028593989 scopus 로고
    • Computation with chaos: A paradigm for cortical activity
    • Babloyantz, A. & Lourenco, C. [1994] "Computation with chaos: A paradigm for cortical activity," Proc. Natl. Acad. Sci. USA 91, 9027-9030.
    • (1994) Proc. Natl. Acad. Sci. USA , vol.91 , pp. 9027-9030
    • Babloyantz, A.1    Lourenco, C.2
  • 7
    • 0000275384 scopus 로고
    • Solitary-wave phenomena in an excitable surface reaction
    • Bär, M., Eiswirth, M., Rotermund, H. H. & Ertl, G. [1992] "Solitary-wave phenomena in an excitable surface reaction," Phys. Rev. Lett. 69, 945-948.
    • (1992) Phys. Rev. Lett , vol.69 , pp. 945-948
    • Bär, M.1    Eiswirth, M.2    Rotermund, H.H.3    Ertl, G.4
  • 9
    • 0141884387 scopus 로고    scopus 로고
    • Intercellular interactions in the mammalian olfactory nerve
    • Blinder, K. J., Pumplin, D. W., Paul, D. L. & Keller, A. [2003] "Intercellular interactions in the mammalian olfactory nerve," J. Comp. Neurol. 466, 230-239.
    • (2003) J. Comp. Neurol , vol.466 , pp. 230-239
    • Blinder, K.J.1    Pumplin, D.W.2    Paul, D.L.3    Keller, A.4
  • 10
    • 33749421921 scopus 로고    scopus 로고
    • Ephaptic interactions in the mammalian olfactory system
    • Bokil, H., Laaris, N., Blinder, K., Ennis, M. & Keller, A. [2001] "Ephaptic interactions in the mammalian olfactory system," J. Neurosci. 15, RC173: 1-5.
    • (2001) J. Neurosci , vol.15 , Issue.RC173 , pp. 1-5
    • Bokil, H.1    Laaris, N.2    Blinder, K.3    Ennis, M.4    Keller, A.5
  • 11
    • 0029518293 scopus 로고
    • Symmetric and antisymmetric pulses in parallel coupled nerve fibres
    • Bose, A. [1995] "Symmetric and antisymmetric pulses in parallel coupled nerve fibres," SIAM J. Appl. Math. 55, 1650-1674.
    • (1995) SIAM J. Appl. Math , vol.55 , pp. 1650-1674
    • Bose, A.1
  • 13
    • 1842782507 scopus 로고    scopus 로고
    • Information processing in the axon
    • Debanne, D. [2004] "Information processing in the axon," Nat. Rev. Neurosci. 5, 304-316.
    • (2004) Nat. Rev. Neurosci , vol.5 , pp. 304-316
    • Debanne, D.1
  • 15
    • 0001164475 scopus 로고
    • Oscillatory kinetics and spatio-temporal self-organization in reactions at solid surfaces
    • Ertl, G. [1991] "Oscillatory kinetics and spatio-temporal self-organization in reactions at solid surfaces," Science 254, 1750-1755.
    • (1991) Science , vol.254 , pp. 1750-1755
    • Ertl, G.1
  • 16
    • 53349102813 scopus 로고
    • Impulses and physiological states in theoretical models of nerve membrane
    • FitzHugh, R. [1966] "Impulses and physiological states in theoretical models of nerve membrane," Biophys. J. 1, 445-466.
    • (1966) Biophys. J , vol.1 , pp. 445-466
    • FitzHugh, R.1
  • 18
    • 37649030483 scopus 로고    scopus 로고
    • Synchronization of spatiotemporal patterns in locally coupled excitable media
    • Hildbrand, M., Cui. J., Mihaliuk, E., Wang. J. & Showalter, K. [2003] "Synchronization of spatiotemporal patterns in locally coupled excitable media," Phys. Rev. E 68, 026205.
    • (2003) Phys. Rev. E , vol.68 , pp. 026205
    • Hildbrand, M.1    Cui, J.2    Mihaliuk, E.3    Wang, J.4    Showalter, K.5
  • 19
    • 84944496759 scopus 로고
    • Electric interaction between two adjacent nerve fibres
    • Katz, B. & Schmitt, O. H. [1940] "Electric interaction between two adjacent nerve fibres," J. Physiol. (London) 97, 471-488.
    • (1940) J. Physiol. (London) , vol.97 , pp. 471-488
    • Katz, B.1    Schmitt, O.H.2
  • 20
    • 0343416067 scopus 로고
    • A note on interaction between nerve fibres
    • Katz, B. & Schmitt, O. H. [1942] "A note on interaction between nerve fibres," J. Physiol. (London) 100, 369-371.
    • (1942) J. Physiol. (London) , vol.100 , pp. 369-371
    • Katz, B.1    Schmitt, O.H.2
  • 21
    • 0039212387 scopus 로고
    • Frequency decoupling of parallel excitable fibers
    • Keener, J. P. [1989] "Frequency decoupling of parallel excitable fibers," SIAM J. Appl. Math. 49, 210-230.
    • (1989) SIAM J. Appl. Math , vol.49 , pp. 210-230
    • Keener, J.P.1
  • 23
    • 0019963888 scopus 로고
    • Modulation of axonal excitability mediated by surround electric activity: An intra-axonal study
    • Kocsis, J. D., Ruiz, J. A. & Cummins, K. L. [1982] "Modulation of axonal excitability mediated by surround electric activity: An intra-axonal study," Exp. Brain Res. 47, 151-153.
    • (1982) Exp. Brain Res , vol.47 , pp. 151-153
    • Kocsis, J.D.1    Ruiz, J.A.2    Cummins, K.L.3
  • 24
    • 0001198439 scopus 로고
    • Collision-stable waves in excitable reaction-diffusion systems
    • Kosek, J. & Marek, M. [1995] "Collision-stable waves in excitable reaction-diffusion systems," Phys. Rev. Lett. 74, 2134-2137.
    • (1995) Phys. Rev. Lett , vol.74 , pp. 2134-2137
    • Kosek, J.1    Marek, M.2
  • 25
    • 0018242312 scopus 로고
    • Mathematical models of cardiac arrhythmias (spiral waves)
    • Krinsky, V. I. [1978] "Mathematical models of cardiac arrhythmias (spiral waves)," Pharmac. Ther. B 3, 539-555.
    • (1978) Pharmac. Ther. B , vol.3 , pp. 539-555
    • Krinsky, V.I.1
  • 26
    • 0001057754 scopus 로고
    • Bifurcation to traveling spots in reaction-diffusion systems
    • Krisher, K. & Mikhailov, A. [1994] "Bifurcation to traveling spots in reaction-diffusion systems," Phys. Rev. Lett. 73, 3165-3168.
    • (1994) Phys. Rev. Lett , vol.73 , pp. 3165-3168
    • Krisher, K.1    Mikhailov, A.2
  • 27
    • 0040396860 scopus 로고
    • Electrical interactions of parallel nonmyelinated fibers. I. Change in excitability of the adjacent fiber
    • Markin, V. S. [1970] "Electrical interactions of parallel nonmyelinated fibers. I. Change in excitability of the adjacent fiber," Biophys. 15, 122-133.
    • (1970) Biophys , vol.15 , pp. 122-133
    • Markin, V.S.1
  • 28
    • 0021990732 scopus 로고
    • Coupling of action potential activity between unmyelinated fibers in the peripheral nerve of monkey
    • Meyer, R. A., Raja, S. N. & Campbell, J. N. [1985] "Coupling of action potential activity between unmyelinated fibers in the peripheral nerve of monkey," Science 227, 184-187.
    • (1985) Science , vol.227 , pp. 184-187
    • Meyer, R.A.1    Raja, S.N.2    Campbell, J.N.3
  • 30
    • 6344238035 scopus 로고
    • An active pulse transmission line simulating nerve axon
    • Nagumo. J., Arimoto, S. & Yoshizawa, S. [1962] "An active pulse transmission line simulating nerve axon," Proc. IRE 50, 2061-2070.
    • (1962) Proc. IRE , vol.50 , pp. 2061-2070
    • Nagumo, J.1    Arimoto, S.2    Yoshizawa, S.3
  • 31
    • 0000005011 scopus 로고    scopus 로고
    • Controlled disordered patterns and information transfer between coupled neural lattices with oscillatory states
    • Nekorkin, V. I., Kazantsev, V. B., Rabinovich, M. I. & Velarde, M. G. [1998] "Controlled disordered patterns and information transfer between coupled neural lattices with oscillatory states," Phys. Rev. E 57, 3344-3351.
    • (1998) Phys. Rev. E , vol.57 , pp. 3344-3351
    • Nekorkin, V.I.1    Kazantsev, V.B.2    Rabinovich, M.I.3    Velarde, M.G.4
  • 33
    • 0141566670 scopus 로고    scopus 로고
    • Dynamic transitions through scatters in dissipative systems
    • Nishiura, Y., Teramoto, T. & Ueda, K. [2003] "Dynamic transitions through scatters in dissipative systems," Chaos 13, 962-972.
    • (2003) Chaos , vol.13 , pp. 962-972
    • Nishiura, Y.1    Teramoto, T.2    Ueda, K.3
  • 34
    • 0031504487 scopus 로고    scopus 로고
    • Collision of propagating pulses in a reaction-diffusion system
    • Ohta, T., Kiyose, J. & Minium, M. [1997] "Collision of propagating pulses in a reaction-diffusion system," J. Phys. Soc. Jpn. 66, 1551-1558.
    • (1997) J. Phys. Soc. Jpn , vol.66 , pp. 1551-1558
    • Ohta, T.1    Kiyose, J.2    Minium, M.3
  • 35
    • 0026943684 scopus 로고
    • Initiation and stability of reentry in two coupled excitable fibers
    • Palmer, A., Brindley, J. & Holden, A. V. [1992] "Initiation and stability of reentry in two coupled excitable fibers," Bull. Math. Biol. 54, 1039-1056.
    • (1992) Bull. Math. Biol , vol.54 , pp. 1039-1056
    • Palmer, A.1    Brindley, J.2    Holden, A.V.3
  • 36
    • 0001781599 scopus 로고
    • Vortices in a system of two coupled excitable fibers
    • Panfilov, A. V. & Holden, A. V. [1990] "Vortices in a system of two coupled excitable fibers," Phys. Lett. A 147, 463-466.
    • (1990) Phys. Lett. A , vol.147 , pp. 463-466
    • Panfilov, A.V.1    Holden, A.V.2
  • 37
    • 0011263153 scopus 로고
    • The drift of a vortex in an inhomogeneous system of two coupled fibers
    • Panfilov, A. V. & Vasiev, B. N. [1991] "The drift of a vortex in an inhomogeneous system of two coupled fibers," Chaos Solit. Fract. 1, 119-129.
    • (1991) Chaos Solit. Fract , vol.1 , pp. 119-129
    • Panfilov, A.V.1    Vasiev, B.N.2
  • 38
    • 0029386484 scopus 로고    scopus 로고
    • Pérez Mariño, I., De Castro Rodríguez, M., Pérez-Muñuzuri, V., Gómez-Gesteria. M.. Chua, L. O. & Pérez-Villar, V. [1995] Study of reentry initiation in coupled parallel fibers, IEEE Trans. Circuits Syst. 42, 665-671.
    • Pérez Mariño, I., De Castro Rodríguez, M., Pérez-Muñuzuri, V., Gómez-Gesteria. M.. Chua, L. O. & Pérez-Villar, V. [1995] "Study of reentry initiation in coupled parallel fibers," IEEE Trans. Circuits Syst. 42, 665-671.
  • 39
    • 0030101235 scopus 로고
    • Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system
    • Petrov, V., Scott, S. K. & Showalter, K. [1994] "Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system," Phil. Trans. R. Soc. London Ser. A 347, 631-642.
    • (1994) Phil. Trans. R. Soc. London Ser. A , vol.347 , pp. 631-642
    • Petrov, V.1    Scott, S.K.2    Showalter, K.3
  • 41
    • 0018910550 scopus 로고
    • Ephaptic transmission between single nerve fibres in the spinal nerve roots of dystrophic mice
    • Rasminsky, M. [1980] "Ephaptic transmission between single nerve fibres in the spinal nerve roots of dystrophic mice," J. Physiol. (London) 305, 151-169.
    • (1980) J. Physiol. (London) , vol.305 , pp. 151-169
    • Rasminsky, M.1
  • 42
    • 0346307249 scopus 로고    scopus 로고
    • Conduction in bundles of demyelinated nerve fibers: Computer simulation
    • Reutskiy, S., Rossoni, E. & Tirozzi, B. [2003] "Conduction in bundles of demyelinated nerve fibers: Computer simulation." Biol. Cybern. 89, 439-448.
    • (2003) Biol. Cybern , vol.89 , pp. 439-448
    • Reutskiy, S.1    Rossoni, E.2    Tirozzi, B.3
  • 44
    • 84957151980 scopus 로고
    • Coupled solitary waves in neurophysics
    • Scott, A. C. & Luzader, S. D. [1979] "Coupled solitary waves in neurophysics," Phys. Scr. 20, 395-401.
    • (1979) Phys. Scr , vol.20 , pp. 395-401
    • Scott, A.C.1    Luzader, S.D.2
  • 45
    • 0002811728 scopus 로고
    • What can neurons do to serve as integrating devices
    • Segundo, J. P. [1986] "What can neurons do to serve as integrating devices," J. Theor. Neurobiol. 5, 1-59.
    • (1986) J. Theor. Neurobiol , vol.5 , pp. 1-59
    • Segundo, J.P.1
  • 46
    • 0018364599 scopus 로고
    • Ephaptic transmission in chronically damaged peripheral nerves
    • Seltzer, Z. & Devor, M. [1979] "Ephaptic transmission in chronically damaged peripheral nerves," Neurology 29, 1061-1064.
    • (1979) Neurology , vol.29 , pp. 1061-1064
    • Seltzer, Z.1    Devor, M.2
  • 47
  • 48
    • 0008227450 scopus 로고
    • Collision of two nerve impulses in the nerve fiber
    • Tasaki, I. [1949] "Collision of two nerve impulses in the nerve fiber," Biochim. Biophys. Acta 3, 494-497.
    • (1949) Biochim. Biophys. Acta , vol.3 , pp. 494-497
    • Tasaki, I.1
  • 49
    • 0000906655 scopus 로고
    • Solitons in a reaction-diffusion system
    • Tuckwell, H. C. [1978] "Solitons in a reaction-diffusion system," Science 205, 493-495.
    • (1978) Science , vol.205 , pp. 493-495
    • Tuckwell, H.C.1
  • 50
  • 51
    • 0000080729 scopus 로고
    • Spiral waves of chemical activity
    • Winfree, A. T. [1972] "Spiral waves of chemical activity," Science 175, 634-636.
    • (1972) Science , vol.175 , pp. 634-636
    • Winfree, A.T.1
  • 54
    • 33846361348 scopus 로고
    • Interaction of "solitons" in a collisionless plasma and the recurrence of initial states
    • Zabusky, N. J. & Kruskal, M. D. [1965] "Interaction of "solitons" in a collisionless plasma and the recurrence of initial states," Phys, Rev. Lett. 15, 240-243.
    • (1965) Phys, Rev. Lett , vol.15 , pp. 240-243
    • Zabusky, N.J.1    Kruskal, M.D.2
  • 55
    • 36949058437 scopus 로고
    • Concentration wave propagation in two-dimensional liquid-phase selloscillating system
    • Zhabotinsky, A. M. & Zaikin, A. [1970] "Concentration wave propagation in two-dimensional liquid-phase selloscillating system," Nature (London) 225, 535-537.
    • (1970) Nature (London) , vol.225 , pp. 535-537
    • Zhabotinsky, A.M.1    Zaikin, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.