메뉴 건너뛰기




Volumn 29, Issue 1, 1997, Pages 92-113

Clustering of bursts of openings in Markov and semi-Markov models of single channel gating

Author keywords

Aggregated process; Continuous time markov chain; Fundamental matrix; Markov renewal process; Single ion channel modelling; Spectral representation

Indexed keywords


EID: 0003148549     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800027804     Document Type: Article
Times cited : (4)

References (28)
  • 2
    • 0001710595 scopus 로고
    • Aggregated semi-Markov processes incorporating time interval omission
    • BALL, F. G., MILNE, R. K. AND YEO, G. F. (1991) Aggregated semi-Markov processes incorporating time interval omission. Adv. Appl. Prob. 23, 772-797.
    • (1991) Adv. Appl. Prob. , vol.23 , pp. 772-797
    • Ball, F.G.1    Milne, R.K.2    Yeo, G.F.3
  • 3
    • 0007458633 scopus 로고
    • Continuous-time Markov chains in a random environment, with applications to ion channel modelling
    • BALL, F. G., MILNE, R. K. AND YEO, G. F. (1994) Continuous-time Markov chains in a random environment, with applications to ion channel modelling. Adv. Appl. Prob. 26, 919-946.
    • (1994) Adv. Appl. Prob. , vol.26 , pp. 919-946
    • Ball, F.G.1    Milne, R.K.2    Yeo, G.F.3
  • 4
    • 0027054053 scopus 로고
    • Stochastic models for ion channels: Introduction and bibliography
    • BALL, F. G. AND RICE, J. A. (1992) Stochastic models for ion channels: introduction and bibliography. Math. Biosci. 112, 189-206.
    • (1992) Math. Biosci. , vol.112 , pp. 189-206
    • Ball, F.G.1    Rice, J.A.2
  • 5
    • 77957182102 scopus 로고
    • Temporal clustering of ion channel openings incorporating time interval omission
    • BALL, F. G. AND SANSOM, M. S. P. (1987) Temporal clustering of ion channel openings incorporating time interval omission. IMA J. Math. Appl. Medicine Biol. 4, 333-361.
    • (1987) IMA J. Math. Appl. Medicine Biol. , vol.4 , pp. 333-361
    • Ball, F.G.1    Sansom, M.S.P.2
  • 7
    • 0001616513 scopus 로고
    • Markov renewal processes, counters and repeated sequences in Markov chains
    • BIGGINS, J. D. AND CANNINGS, C. (1987) Markov renewal processes, counters and repeated sequences in Markov chains. Adv. Appl. Prob. 19, 521-545.
    • (1987) Adv. Appl. Prob. , vol.19 , pp. 521-545
    • Biggins, J.D.1    Cannings, C.2
  • 8
    • 0014576789 scopus 로고
    • Markov renewal theory
    • ÇINLAR, E. (1969) Markov renewal theory. Adv. Appl. Prob, 1, 123-187.
    • (1969) Adv. Appl. Prob , vol.1 , pp. 123-187
    • Çinlar, E.1
  • 9
    • 0019522622 scopus 로고
    • On the stochastic properties of single ion channels
    • COLQUHOUN, D. AND HAWKES, A. G. (1981) On the stochastic properties of single ion channels. Proc. R. Soc. London B 211, 205-235.
    • (1981) Proc. R. Soc. London B , vol.211 , pp. 205-235
    • Colquhoun, D.1    Hawkes, A.G.2
  • 10
    • 0020490146 scopus 로고
    • On the stochastic properties of bursts of single ion channel openings and of clusters of bursts
    • COLQUHOUN, D. AND HAWKES, A. G. (1982) On the stochastic properties of bursts of single ion channel openings and of clusters of bursts. Phil. Trans. R. Soc. London B 300, 1-59.
    • (1982) Phil. Trans. R. Soc. London B , vol.300 , pp. 1-59
    • Colquhoun, D.1    Hawkes, A.G.2
  • 11
    • 0001908198 scopus 로고
    • The principles of stochastic interpretation of ion-channel mechanisms
    • ed. B. Sakmann and E. Neher. Plenum, New York
    • COLQUHOUN, D. AND HAWKES, A. G. (1983) The principles of stochastic interpretation of ion-channel mechanisms. In Single-Channel Recording. ed. B. Sakmann and E. Neher. Plenum, New York. pp. 135-175.
    • (1983) Single-Channel Recording , pp. 135-175
    • Colquhoun, D.1    Hawkes, A.G.2
  • 12
    • 0019856889 scopus 로고
    • Fluctuations in the microsecond time range of the current through single acetylcholine receptor ion channels
    • COLQUHOUN, D. AND SAKMANN, B. (1981) Fluctuations in the microsecond time range of the current through single acetylcholine receptor ion channels. Nature 294, 464-466.
    • (1981) Nature , vol.294 , pp. 464-466
    • Colquhoun, D.1    Sakmann, B.2
  • 13
    • 0009178875 scopus 로고
    • Some renewal-theoretical investigations in the theory of sojourn times in finite semi-Markov processes
    • CSENKI, A. (1991) Some renewal-theoretical investigations in the theory of sojourn times in finite semi-Markov processes. J. Appl. Prob. 28, 822-832.
    • (1991) J. Appl. Prob. , vol.28 , pp. 822-832
    • Csenki, A.1
  • 14
    • 0000410009 scopus 로고
    • Identification of aggregated Markovian models: Application to the nicotinic acetylcholine receptor
    • ed. L. Le Cam and R. Olshen. Wadsworth, Belmont, CA
    • FREDKIN, D. R., MONTAL, M. AND RICE, J. A. (1985) Identification of aggregated Markovian models: application to the nicotinic acetylcholine receptor. Proc. Berkeley Conf. in Honor of Jerzy Neyman and Jack Kiefer. Vol. 1. ed. L. Le Cam and R. Olshen. Wadsworth, Belmont, CA. pp. 269-290.
    • (1985) Proc. Berkeley Conf. in Honor of Jerzy Neyman and Jack Kiefer , vol.1 , pp. 269-290
    • Fredkin, D.R.1    Montal, M.2    Rice, J.A.3
  • 15
    • 0000587771 scopus 로고
    • On aggregated Markov processes
    • FREDKIN, D. R. AND RICE, J. A. (1986) On aggregated Markov processes. J. Appl. Prob. 23, 208-214.
    • (1986) J. Appl. Prob. , vol.23 , pp. 208-214
    • Fredkin, D.R.1    Rice, J.A.2
  • 17
    • 85014835338 scopus 로고
    • On the moments of Markov renewal processes
    • HUNTER, J. J. (1969) On the moments of Markov renewal processes. Adv. Appl. Prob, 1, 188-210.
    • (1969) Adv. Appl. Prob , vol.1 , pp. 188-210
    • Hunter, J.J.1
  • 18
    • 0023875658 scopus 로고
    • Dependence of acetylcholine receptor channel kinetics on agonist concentration in cultured mouse muscle fibres
    • JACKSON, M. B. (1988) Dependence of acetylcholine receptor channel kinetics on agonist concentration in cultured mouse muscle fibres. J. Physiol. 397, 555-583.
    • (1988) J. Physiol. , vol.397 , pp. 555-583
    • Jackson, M.B.1
  • 19
    • 0009178876 scopus 로고
    • On the matrix renewal function for Markov renewal processes
    • KEILSON, J. (1969) On the matrix renewal function for Markov renewal processes. Ann. Math. Statist. 40, 1901-1907.
    • (1969) Ann. Math. Statist. , vol.40 , pp. 1901-1907
    • Keilson, J.1
  • 23
    • 0013863816 scopus 로고
    • Comparison of experimental binding data and theoretical models in proteins containig subunits
    • KOSHLAND, D. E. JR., NÉMETHY, G. AND FILMER, D. (1966) Comparison of experimental binding data and theoretical models in proteins containig subunits. Biochem. 5, 365-385.
    • (1966) Biochem. , vol.5 , pp. 365-385
    • Koshland Jr., D.E.1    Némethy, G.2    Filmer, D.3
  • 24
    • 0014171528 scopus 로고
    • Asymptotic values of the first two moments in Markov renewal processes
    • KSHIRSAGAR, A. M. AND GUPTA, Y. P. (1967) Asymptotic values of the first two moments in Markov renewal processes. Biometrika 54, 597-603.
    • (1967) Biometrika , vol.54 , pp. 597-603
    • Kshirsagar, A.M.1    Gupta, Y.P.2
  • 25
    • 0001754816 scopus 로고
    • Analysis of a counting process associated with a semi-Markov process: Number of entries into a subset of state space
    • MASUDA, Y. AND SUMITA, U. (1987) Analysis of a counting process associated with a semi-Markov process: number of entries into a subset of state space. Adv. Appl. Prob. 19, 767-783.
    • (1987) Adv. Appl. Prob. , vol.19 , pp. 767-783
    • Masuda, Y.1    Sumita, U.2
  • 26
    • 0000936303 scopus 로고
    • Markov renewal processes: Definitions and preliminary properties
    • PYKE, R. (1961) Markov renewal processes: definitions and preliminary properties. Ann. Math. Statist. 32, 1231-1242.
    • (1961) Ann. Math. Statist. , vol.32 , pp. 1231-1242
    • Pyke, R.1
  • 28
    • 0019215162 scopus 로고
    • Single acetylcholine-activated channels show burst-kinetics in presence of desensitizing concentrations of agonist
    • SAKMANN, B., PATLAK, J. AND NEHER, E. (1980) Single acetylcholine-activated channels show burst-kinetics in presence of desensitizing concentrations of agonist. Nature 286, 71-73.
    • (1980) Nature , vol.286 , pp. 71-73
    • Sakmann, B.1    Patlak, J.2    Neher, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.