메뉴 건너뛰기




Volumn 26, Issue 4, 2005, Pages 1221-1229

Multi-parameter Hopf-bifurcation in Hodgkin-Huxley model exposed to ELF external electric field

Author keywords

[No Author keywords available]

Indexed keywords

CELL MEMBRANES; DIFFERENTIAL EQUATIONS; DYNAMICS; ELECTRIC FIELDS; ELECTRIC POTENTIAL; MATHEMATICAL MODELS; MUSCLE;

EID: 19144372247     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.02.042     Document Type: Article
Times cited : (19)

References (21)
  • 1
    • 77956707015 scopus 로고
    • Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo
    • A.L. Hodgkin, and A.F. Huxley Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo J Physiol 116 1952 449 472
    • (1952) J Physiol , vol.116 , pp. 449-472
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 2
    • 76949125485 scopus 로고
    • The components of membrane conductance in the giant axon of Loligo
    • A.L. Hodgkin, and A.F. Huxley The components of membrane conductance in the giant axon of Loligo J Physiol 116 1952 473 496
    • (1952) J Physiol , vol.116 , pp. 473-496
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 3
    • 77956677051 scopus 로고
    • The dual effect of membrane potential on sodium conductance in the giant axon of Loligo
    • A.L. Hodgkin, and A.F. Huxley The dual effect of membrane potential on sodium conductance in the giant axon of Loligo J Physiol 116 1952 497 506
    • (1952) J Physiol , vol.116 , pp. 497-506
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 4
    • 35649001607 scopus 로고
    • A quantitative description of membrane and its application to conduction and excitation in nerve
    • A.L. Hodgkin, and A.F. Huxley A quantitative description of membrane and its application to conduction and excitation in nerve J Physiol 117 1952 500 544
    • (1952) J Physiol , vol.117 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 5
    • 0018234671 scopus 로고
    • One repetitive activity in nerve
    • J. Rinzel One repetitive activity in nerve Fed Proc 37 1978 2793 2802
    • (1978) Fed Proc , vol.37 , pp. 2793-2802
    • Rinzel, J.1
  • 6
    • 0011837322 scopus 로고
    • The bifurcation in the Hodgkin-Huxley equations
    • W.C. Troy The bifurcation in the Hodgkin-Huxley equations Q Appl Math 36 1978 73 83
    • (1978) Q Appl Math , vol.36 , pp. 73-83
    • Troy, W.C.1
  • 7
    • 0017854654 scopus 로고
    • Bifurcation of periodic solutions of the Hodgkin-Huxley model for the squid giant axon
    • B. Hassard Bifurcation of periodic solutions of the Hodgkin-Huxley model for the squid giant axon J Theory Biol 71 1978 401 420
    • (1978) J Theory Biol , vol.71 , pp. 401-420
    • Hassard, B.1
  • 8
    • 0019310660 scopus 로고
    • Numerical calculation of stable and unstable solutions to the Hodgkin-Huxley equations
    • J. Rinzel, and R.N. Miller Numerical calculation of stable and unstable solutions to the Hodgkin-Huxley equations Math Biosci 49 1980 27 59
    • (1980) Math Biosci , vol.49 , pp. 27-59
    • Rinzel, J.1    Miller, R.N.2
  • 9
    • 0000370809 scopus 로고
    • Bifurcation of the Hodgkin and Huxley equations: A new twist
    • J. Guckenheimer, and I.S. Labouriau Bifurcation of the Hodgkin and Huxley equations: a new twist Bull Math Biol 55 1993 937 952
    • (1993) Bull Math Biol , vol.55 , pp. 937-952
    • Guckenheimer, J.1    Labouriau, I.S.2
  • 11
    • 0026473629 scopus 로고
    • Partition of the Hodgkin-Huxley type model parameter space in to the region of qualitatively different solutions
    • Y.A. Bedrov, G.N. Akoev, and O.E. Dick Partition of the Hodgkin-Huxley type model parameter space in to the region of qualitatively different solutions Biol Cybern 66 1992 413 418
    • (1992) Biol Cybern , vol.66 , pp. 413-418
    • Bedrov, Y.A.1    Akoev, G.N.2    Dick, O.E.3
  • 12
    • 0029339680 scopus 로고
    • On the relationship between the number of negative slope regions in the voltage-current curve of the Hodgkin-Huxley model and its parameter values
    • Y.A. Bedrov, G.N. Akoev, and O.E. Dick On the relationship between the number of negative slope regions in the voltage-current curve of the Hodgkin-Huxley model and its parameter values Biol Cybern 73 1995 149 154
    • (1995) Biol Cybern , vol.73 , pp. 149-154
    • Bedrov, Y.A.1    Akoev, G.N.2    Dick, O.E.3
  • 13
    • 19144371492 scopus 로고    scopus 로고
    • The dynamic principle of interaction between weak electromagnetic fields and living system-interference of electromagnetic waves in dynamic metabolism
    • H. Kama, and L. Ying The dynamic principle of interaction between weak electromagnetic fields and living system-interference of electromagnetic waves in dynamic metabolism Chinese J Med Phys Oct 14 4 1997
    • (1997) Chinese J Med Phys Oct , vol.14 , Issue.4
    • Kama, H.1    Ying, L.2
  • 14
    • 0017372394 scopus 로고
    • Sodium currents in mammalian muscle
    • R.H. Adrian, and M.W. Marashall Sodium currents in mammalian muscle J Physiol 268 1977 223 250
    • (1977) J Physiol , vol.268 , pp. 223-250
    • Adrian, R.H.1    Marashall, M.W.2
  • 15
    • 0018199173 scopus 로고
    • Ionic currents in mammalian fast skeletal muscle
    • A. Duval, and C. Leoty Ionic currents in mammalian fast skeletal muscle J Physiol 278 1978 403 423
    • (1978) J Physiol , vol.278 , pp. 403-423
    • Duval, A.1    Leoty, C.2
  • 16
    • 0018911339 scopus 로고
    • Voltage-clamp experiments in normal and denervated mammalian skeletal muscle fibres
    • P.A. Pappone Voltage-clamp experiments in normal and denervated mammalian skeletal muscle fibres J Physiol 280 1980 377 410
    • (1980) J Physiol , vol.280 , pp. 377-410
    • Pappone, P.A.1
  • 17
    • 0034254381 scopus 로고    scopus 로고
    • Second-order model of membrane electric field induced by alternating external electric fields
    • T. Kotnik, and D. Miklavcic Second-order model of membrane electric field induced by alternating external electric fields IEEE Trans Biomed Eng 47 2000 1974 1981
    • (2000) IEEE Trans Biomed Eng , vol.47 , pp. 1974-1981
    • Kotnik, T.1    Miklavcic, D.2
  • 18
    • 0034222946 scopus 로고    scopus 로고
    • Theoretical evaluation of the distributed power dissipation in biological cells exposed to electric fields
    • T. Kotnik, and D. Miklavcic Theoretical evaluation of the distributed power dissipation in biological cells exposed to electric fields Bioelectromagnetics 21 2000 385 394
    • (2000) Bioelectromagnetics , vol.21 , pp. 385-394
    • Kotnik, T.1    Miklavcic, D.2
  • 19
    • 0032029356 scopus 로고    scopus 로고
    • Time course of transmembrane voltage induced by time-varying electric fields-a method for theoretical analysis and its application
    • T. Kotnik, and D. Miklavcic Time course of transmembrane voltage induced by time-varying electric fields-a method for theoretical analysis and its application Bioelectrochem Bioenerg 45 1998 3 16
    • (1998) Bioelectrochem Bioenerg , vol.45 , pp. 3-16
    • Kotnik, T.1    Miklavcic, D.2
  • 20
    • 0344062649 scopus 로고    scopus 로고
    • Hopf bifurcation in the Hodgkin-Huxley model exposed to ELF electrical field
    • W. Jiang, K.M. Tsang, and Z. Hua Hopf bifurcation in the Hodgkin-Huxley model exposed to ELF electrical field Chaos, Solitons & Fractals 20 2004 759 764
    • (2004) Chaos, Solitons & Fractals , vol.20 , pp. 759-764
    • Jiang, W.1    Tsang, K.M.2    Hua, Z.3
  • 21
    • 4644343793 scopus 로고    scopus 로고
    • Two-parameters Hopf bifurcation in the Hodgkin-Huxley model
    • W. Jiang, G. Jianming, and F. Xiangyang Two-parameters Hopf bifurcation in the Hodgkin-Huxley model Chaos, Solitons & Fractals 23 3 2005 973 980
    • (2005) Chaos, Solitons & Fractals , vol.23 , Issue.3 , pp. 973-980
    • Jiang, W.1    Jianming, G.2    Xiangyang, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.