메뉴 건너뛰기




Volumn 83, Issue 2, 2011, Pages

Survival probability and first-passage-time statistics of a Wiener process driven by an exponential time-dependent drift

Author keywords

[No Author keywords available]

Indexed keywords

ABSORBING BOUNDARIES; CONTINUOUS VARIABLES; EXPONENTIAL TIME; FIRST-PASSAGE; FIRST-PASSAGE-TIME DENSITY; FOKKER PLANCK; HIGHER ORDER SOLUTIONS; LIMIT BEHAVIOR; NUMERICAL SIMULATION; RECURRENCE EQUATION; SECOND ORDERS; STATISTICAL PROPERTIES; STOCHASTIC PROCESS; SURVIVAL PROBABILITIES; TIME-DEPENDENT; WIENER PROCESS;

EID: 79952526019     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.021102     Document Type: Article
Times cited : (16)

References (29)
  • 2
    • 31144476588 scopus 로고    scopus 로고
    • Introduction: 100 years of Brownian motion
    • DOI 10.1063/1.1895505, 026101
    • P. Hänggi and F. Marchesoni, Chaos CHAOEH 1054-1500 10.1063/1.1895505 15, 026101 (2005). (Pubitemid 43127625)
    • (2005) Chaos , vol.15 , Issue.2 , pp. 1-5
    • Hanggi, P.1    Marchesoni, F.2
  • 6
    • 36149019489 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.81.617
    • A. Siegert, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.81.617 81, 617 (1951).
    • (1951) Phys. Rev. , vol.81 , pp. 617
    • Siegert, A.1
  • 8
    • 0002338948 scopus 로고
    • BIOJAU 0006-3495 10.1016/S0006-3495(64)86768-0
    • G. L. Gerstein and B. Mandelbrot, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(64)86768-0 4, 41 (1964).
    • (1964) Biophys. J. , vol.4 , pp. 41
    • Gerstein, G.L.1    Mandelbrot, B.2
  • 9
    • 7244257797 scopus 로고    scopus 로고
    • Moments of the first passage time under external driving
    • DOI 10.1007/s10955-004-2269-5
    • B. Lindner, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-004-2269-5 117, 703 (2004). (Pubitemid 39436597)
    • (2004) Journal of Statistical Physics , vol.117 , Issue.3-4 , pp. 703-737
    • Lindner, B.1
  • 10
    • 0001030909 scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.49.4989
    • A. R. Bulsara, S. B. Lowen, and C. D. Rees, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.4989 49, 4989 (1994).
    • (1994) Phys. Rev. e , vol.49 , pp. 4989
    • Bulsara, A.R.1    Lowen, S.B.2    Rees, C.D.3
  • 11
    • 4244079484 scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.52.5708
    • M. Gitterman and G. H. Weiss, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.5708 52, 5708 (1995).
    • (1995) Phys. Rev. e , vol.52 , pp. 5708
    • Gitterman, M.1    Weiss, G.H.2
  • 12
    • 4243582139 scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.52.5712
    • A. R. Bulsara, S. B. Lowen, and C. D. Rees, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.5712 52, 5712 (1995).
    • (1995) Phys. Rev. e , vol.52 , pp. 5712
    • Bulsara, A.R.1    Lowen, S.B.2    Rees, C.D.3
  • 15
    • 78049498136 scopus 로고    scopus 로고
    • JONEA4 0022-3077 10.1152/jn.00240.2010
    • J. Benda, L. Maler, and A. Longtin, J. Neurophysiol. JONEA4 0022-3077 10.1152/jn.00240.2010 104, 2806 (2010).
    • (2010) J. Neurophysiol. , vol.104 , pp. 2806
    • Benda, J.1    Maler, L.2    Longtin, A.3
  • 16
    • 9644282920 scopus 로고    scopus 로고
    • Effect of an exponentially decaying threshold on the firing statistics of a stochastic integrate-and-fire neuron
    • DOI 10.1016/j.jtbi.2004.08.030, PII S0022519304004187
    • B. Lindner and A. Longtin, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2004.08.030 232, 505 (2005). (Pubitemid 39575094)
    • (2005) Journal of Theoretical Biology , vol.232 , Issue.4 , pp. 505-521
    • Lindner, B.1    Longtin, A.2
  • 17
    • 0021589678 scopus 로고
    • JPRBAM 0021-9002 10.2307/3213688
    • H. C. Tuckwell and F. Y. M. Wan, J. Appl. Prob. JPRBAM 0021-9002 10.2307/3213688 21, 695 (1984).
    • (1984) J. Appl. Prob. , vol.21 , pp. 695
    • Tuckwell, H.C.1    Wan, F.Y.M.2
  • 18
    • 0016928494 scopus 로고
    • JPRBAM 0021-9002 10.2307/3212663
    • H. C. Tuckwell, J. Appl. Prob. JPRBAM 0021-9002 10.2307/3212663 13, 39 (1976).
    • (1976) J. Appl. Prob. , vol.13 , pp. 39
    • Tuckwell, H.C.1
  • 19
    • 38549175663 scopus 로고    scopus 로고
    • Integral equation methods for computing likelihoods and their derivatives in the stochastic integrate-and-fire model
    • DOI 10.1007/s10827-007-0042-x
    • L. Paninski, A. Haith, and G. Szirtes, J. Comput. Neurosci. JCNEFR 0929-5313 10.1007/s10827-007-0042-x 24, 69 (2008). (Pubitemid 351148252)
    • (2008) Journal of Computational Neuroscience , vol.24 , Issue.1 , pp. 69-79
    • Paninski, L.1    Haith, A.2    Szirtes, G.3
  • 21
    • 79952491940 scopus 로고    scopus 로고
    • D. R. Cox and H. D. Miller (Methuen, London, 1965)
    • D. R. Cox and H. D. Miller (Methuen, London, 1965).
  • 22
    • 0015305015 scopus 로고
    • BIOJAU 0006-3495 10.1016/S0006-3495(72)86087-9
    • R. B. Stein, A. S. French, and A. V. Holden, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(72)86087-9 12, 295 (1972).
    • (1972) Biophys. J. , vol.12 , pp. 295
    • Stein, R.B.1    French, A.S.2    Holden, A.V.3
  • 25
    • 33745712258 scopus 로고    scopus 로고
    • A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input
    • DOI 10.1007/s00422-006-0068-6
    • A. N. Burkitt, Biol. Cybern. BICYAF 0340-1200 10.1007/s00422-006-0068-6 95, 1 (2006); (Pubitemid 43999784)
    • (2006) Biological Cybernetics , vol.95 , Issue.1 , pp. 1-19
    • Burkitt, A.N.1
  • 26
    • 33745730999 scopus 로고    scopus 로고
    • A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties
    • DOI 10.1007/s00422-006-0082-8
    • A. N. Burkitt, Biol. Cybern. BICYAF 0340-1200 10.1007/s00422-006-0082-8 95, 97 (2006). (Pubitemid 44121444)
    • (2006) Biological Cybernetics , vol.95 , Issue.2 , pp. 97-112
    • Burkitt, A.N.1
  • 28
    • 0030087942 scopus 로고    scopus 로고
    • BIOJAU 0006-3495 10.1016/S0006-3495(96)79653-4
    • F. Helmchen, K. Imoto, and B. Sakmann, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(96)79653-4 70, 1069 (1996);
    • (1996) Biophys. J. , vol.70 , pp. 1069
    • Helmchen, F.1    Imoto, K.2    Sakmann, B.3
  • 29
    • 0029670122 scopus 로고    scopus 로고
    • TNSCDR 0166-2236 10.1016/S0166-2236(96)80026-9
    • P. Sah, Trends Neurosci. TNSCDR 0166-2236 10.1016/S0166-2236(96)80026-9 19, 150 (1996).
    • (1996) Trends Neurosci. , vol.19 , pp. 150
    • Sah, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.