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Volumn 43, Issue 4, 2004, Pages 1161-1167

Exact analytic solution of the simplified telegraph model of propagation and dissipation of excitation fronts

Author keywords

Diffusion; Excitation fronts; FitzHugh Nagumo; Nagumo equation; Telegraph reaction diffusion system

Indexed keywords


EID: 24144488306     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:IJTP.0000048607.06704.8d     Document Type: Article
Times cited : (8)

References (15)
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    • Ahmed, E., Abdusalam, H. A., and Fahmy, E. S. (2001a). On telegraph reaction diffusion and coupled map lattice in some biological systems. Int. J. Mod. Phys. C 12(5), 717.
    • (2001) Int. J. Mod. Phys. C , vol.12 , Issue.5 , pp. 717
    • Ahmed, E.1    Abdusalam, H.A.2    Fahmy, E.S.3
  • 3
    • 0035562749 scopus 로고    scopus 로고
    • On telegraph coupled map lattice and its applications
    • Ahmed, E. Abdusalam, H. A., and Fahmy, E. S. (2001b). On telegraph coupled map lattice and its applications. Int. J. Mod. Phys. C 12, 1527.
    • (2001) Int. J. Mod. Phys. C , vol.12 , pp. 1527
    • Ahmed, E.1    Abdusalam, H.A.2    Fahmy, E.S.3
  • 5
    • 4444331927 scopus 로고    scopus 로고
    • Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation
    • Abdusalam, H. A. (2004). Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation. Appl. Math. Comp. 157, 515.
    • (2004) Appl. Math. Comp. , vol.157 , pp. 515
    • Abdusalam, H.A.1
  • 6
    • 0037545465 scopus 로고    scopus 로고
    • Cross-diffusional effect in a telegraph reaction diffusion Lotka-Volterra two competitive system
    • Abdusalam, H. A. and Fahmy, E. S. (2003). Cross-diffusional effect in a telegraph reaction diffusion Lotka-Volterra two competitive system. Chaos Solitons Fractals 18, 259.
    • (2003) Chaos Solitons Fractals , vol.18 , pp. 259
    • Abdusalam, H.A.1    Fahmy, E.S.2
  • 10
    • 0002721581 scopus 로고
    • Mathematical models of excitation and propagation in nerve
    • H. P. Schwan, ed., McGraw-Hill, New York
    • FitzHugh, R. (1969). Mathematical models of excitation and propagation in nerve. In Biological Engineering, Vol. 1., H. P. Schwan, ed., McGraw-Hill, New York.
    • (1969) Biological Engineering , vol.1
    • FitzHugh, R.1
  • 12
    • 0001543317 scopus 로고
    • Waves in excitable media
    • Keener, J. P. (1980). Waves in excitable media. SIAM J. Appl. Math 39, 528.
    • (1980) SIAM J. Appl. Math , vol.39 , pp. 528
    • Keener, J.P.1
  • 13
    • 0003475470 scopus 로고    scopus 로고
    • Springer-Verlag, Berlin, Heidelberg
    • Murray, J. D. (2003). Mathematical Biology, Springer-Verlag, Berlin, Heidelberg.
    • (2003) Mathematical Biology
    • Murray, J.D.1
  • 15
    • 0020191444 scopus 로고
    • Propagation phenomena in a bistable reaction-diffusion system
    • Rinzel, J. and Terman, D. (1982). Propagation phenomena in a bistable reaction-diffusion system. SIAM J. Appl. Math. 42, 1111.
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 1111
    • Rinzel, J.1    Terman, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.