메뉴 건너뛰기




Volumn 38, Issue 1, 1999, Pages 1-20

Pulse waves for a semi-discrete Morris-Lecar type model

Author keywords

Excitable medium; Pulse wave; Traveling wave

Indexed keywords


EID: 0038505894     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002859970001     Document Type: Article
Times cited : (8)

References (12)
  • 1
    • 0029392954 scopus 로고
    • Understanding propagation failure as a slow capture near a limit point
    • V. Booth and T. Erneux, Understanding propagation failure as a slow capture near a limit point, Siam J. Appl. Math. 5 (1995) 1372-1389
    • (1995) Siam J. Appl. Math. , vol.5 , pp. 1372-1389
    • Booth, V.1    Erneux, T.2
  • 2
    • 53349102813 scopus 로고
    • Impulse and physiological states in models of membrane
    • R. FitzHugh, Impulse and physiological states in models of membrane, Biophysical Journal, 1 (1961) 445-466
    • (1961) Biophysical Journal , vol.1 , pp. 445-466
    • FitzHugh, R.1
  • 3
    • 0001371673 scopus 로고
    • On the existence of homoclinic and periodic orbits for Nagumo's equations
    • S. P. Hastings, On the existence of homoclinic and periodic orbits for Nagumo's equations, Quart. J. Math. 27 (1976) 123-134
    • (1976) Quart. J. Math. , vol.27 , pp. 123-134
    • Hastings, S.P.1
  • 4
    • 0000967056 scopus 로고
    • Single and multiple pulse waves for the FitzHugh-Nagumo equations
    • S. P. Hastings, Single and multiple pulse waves for the FitzHugh-Nagumo equations, SIAM J. Appl. Math. 42 (1982) 247-260
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 247-260
    • Hastings, S.P.1
  • 5
    • 0023362335 scopus 로고
    • Propagation and its failure in coupled systems of discrete excitable cells
    • J. P. Keener, Propagation and its failure in coupled systems of discrete excitable cells, SIAM J. Appl. Math. 47 (1987) 556-572
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 556-572
    • Keener, J.P.1
  • 6
    • 0019405994 scopus 로고
    • Voltage oscillations in the barnacle giant muscle fiber
    • C. Morris and H. Lecar, Voltage oscillations in the barnacle giant muscle fiber, Biophys. J. 35 (1981) 193-213
    • (1981) Biophys. J. , vol.35 , pp. 193-213
    • Morris, C.1    Lecar, H.2
  • 7
    • 0028714868 scopus 로고
    • Stable rotating waves in two-dimensional discrete active media
    • J. E. Paulett and G. B. Ermentrout, Stable rotating waves in two-dimensional discrete active media, SIAM J. Appl. Math. 54 (1994) 1720-1744
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 1720-1744
    • Paulett, J.E.1    Ermentrout, G.B.2
  • 8
    • 0002453062 scopus 로고
    • Analysis of neural excitability
    • edited by C. Koch and I. Segev, MIT Press
    • J. Rinzel and G. B. Ermentrout, Analysis of neural excitability, in Methods in Neuronal Modeling, pp. 135-169, edited by C. Koch and I. Segev, MIT Press, 1989
    • (1989) Methods in Neuronal Modeling , pp. 135-169
    • Rinzel, J.1    Ermentrout, G.B.2
  • 9
    • 0026561028 scopus 로고
    • Thythmogenic effects of weak electrotonic coupling in neuronal models
    • A. Sherman and J. Rinzel, Thythmogenic effects of weak electrotonic coupling in neuronal models, Proc. Nat. Acad. Sci. 89 (1992) 2471-2474
    • (1992) Proc. Nat. Acad. Sci. , vol.89 , pp. 2471-2474
    • Sherman, A.1    Rinzel, J.2
  • 10
    • 22244492499 scopus 로고
    • Threshold phenomena for a reaction-diffusion system
    • D. Terman, Threshold phenomena for a reaction-diffusion system, J. Diff. Eqns. 47 (1983) 406-443
    • (1983) J. Diff. Eqns. , vol.47 , pp. 406-443
    • Terman, D.1
  • 11
    • 34249839599 scopus 로고
    • The transition to continuous spiking in excitable membrane models
    • D. Terman, The transition to continuous spiking in excitable membrane models, Nonlin. Sci. 2 (1992) 135-182
    • (1992) Nonlin. Sci. , vol.2 , pp. 135-182
    • Terman, D.1
  • 12
    • 0004711956 scopus 로고
    • Existence of traveling wave front solutions for the discrete Nagumo equation
    • B. Zinner, Existence of traveling wave front solutions for the discrete Nagumo equation, J. Diff. Eqns. 96 (1992) 1-27
    • (1992) J. Diff. Eqns. , vol.96 , pp. 1-27
    • Zinner, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.