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Volumn 2623, Issue , 2003, Pages 156-171

Modeling the electrical activity of a neuron by a continuous and piecewise affine hybrid system

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; NONLINEAR DYNAMICAL SYSTEMS;

EID: 34047104160     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-36580-x_14     Document Type: Article
Times cited : (5)

References (16)
  • 1
    • 0002267991 scopus 로고
    • Model neurons: From hodgkin-huxley to hopfield
    • L. Garrido, editor. Springer-Verlag, Berlin
    • L.F. Abbott and T. Kepler. Model neurons: From hodgkin-huxley to hopfield. In L. Garrido, editor, Statistical Mechanics of Neural Networks, pages 5-18. Springer-Verlag, Berlin, 1990.
    • (1990) Statistical Mechanics of Neural Networks , pp. 5-18
    • Abbott, L.F.1    Kepler, T.2
  • 5
    • 0034145622 scopus 로고    scopus 로고
    • Hopf bifurcations in multiple-parameter space of the hodgkin-huxley equations i. global organization of bistable periodic solutions
    • Hidekazu Fukai, Shinji Doi, Taishin Nomura, and Shunsuke Sato. Hopf bifurcations in multiple-parameter space of the hodgkin-huxley equations i. global organization of bistable periodic solutions. Biological Cybernetics, 82:215-222, 2000.
    • (2000) Biological Cybernetics , vol.82 , pp. 215-222
    • Fukai, H.1    Doi, S.2    Nomura, T.3    Sato, S.4
  • 6
    • 0034145131 scopus 로고    scopus 로고
    • Hopf bifurcations in multiple-parameter space of the hodgkin-huxley equations ii. singularity theoretic approach and highly degenerate bifurcations
    • Hidekazu Fukai, Shinji Doi, Taishin Nomura, and Shunsuke Sato. Hopf bifurcations in multiple-parameter space of the hodgkin-huxley equations ii. singularity theoretic approach and highly degenerate bifurcations. Biological Cybernetics, 82:223-229, 2000.
    • (2000) Biological Cybernetics , vol.82 , pp. 223-229
    • Fukai, H.1    Doi, S.2    Nomura, T.3    Sato, S.4
  • 9
    • 35649001607 scopus 로고
    • 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. Journal of Physiology, 177:500-544, 1952.
    • (1952) Journal of Physiology , vol.177 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 13
    • 0034767817 scopus 로고    scopus 로고
    • Resonate-and-fire neurons
    • Eugene M. Izhikevich. Resonate-and-fire neurons. Neural Networks, 14(6-7):883-894, 2000.
    • (2000) Neural Networks , vol.14 , Issue.6-7 , pp. 883-894
    • Izhikevich, E.M.1
  • 15
    • 0003475470 scopus 로고
    • Springer-Verlag, Heidelberg, 3 edition
    • James D. Murray. Mathematical Biology. Springer-Verlag, Heidelberg, 3 edition, 1993.
    • (1993) Mathematical Biology
    • Murray, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.