The binomial model in fluctuation analysis of quantal neurotransmitter release

Biophysical Journal

Volumn 72, Issue 2 I, 1997, Pages 728-753

  Quastel, D M J ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; NEUROTRANSMITTER RELEASE;

EID: 0031021497     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0006-3495(97)78709-5     Document Type: Article

References (26)

1. 2+ afterdischarge and quantal analysis of synaptic transmission between pairs of cultured mouse hippocampal neurons. Biophys. J. 64:A236.
2. Bain, A. I., and D. M. J. Quastel. 1992a. Quantal transmitter release mediated by strontium at the mouse motor nerve terminal. J. Physiol. (Lond.). 450:63-87.
3. 2+-dependent components of facilitation at mouse endplates. J. Physiol. (Lond.). 455:383-405.
4. Brown, T. H., D. H. Perkel, and M. W. Feldman. 1976. Evoked neurotransmitter release: statistical effects of nonuniformity and nonstationarity. Proc. Natl. Acad. Sci. USA. 73:2913-2917.
5. del Castillo, J., and B. Katz. 1954a. Quantal components of the end-plate potential. J. Physiol. (Lond.). 124:560-573.
6. del Castillo, J., and B. Katz. 1954b. Statistical factors involved in neuromuscular facilitation and depression. J. Physiol. (Lond.). 124:574-585.
7. del Castillo, J., and B. Katz. 1956. Biophysical aspects of neuro-muscular transmission. Prog. Biophys. 6:121-170.
8. Dityatev, A. E., V. M. Kozhanov, and S. O. Gapanovich. 1992. Modeling of the quantal release at interneuronal synapses: analysis of permissible values of model moments. J. Neurosci. Methods. 43:201-214.
9. Elmqvist, D., and D. M. J. Quastel. 1965. A quantitative study of end-plate potentials in isolated human muscle. J. Physiol. (Lond.). 178:505-529.
10. Hubbard, J. I. 1963. Repetitive stimulation at the mammalian neuromuscular junction and the mobilisation of transmitter. J. Physiol. (Lond.). 169:641-662.
11. Jack, J. J. B., A. U. Larkman, G. Major, and K. J. Stratford. 1994. Quantal analysis of the synaptic excitation of CA1 hippocampal pyramidal cells. In Molecular and Cellular Mechanisms of Neurotransmitter Release. L. Stjärne, P. Greengard, S. E. Grillner, T. G. M. Hökfelt, and D. R. Ottoson, editors. Raven Press, New York.
12. Katz, B., and R. Miledi. 1965. The measurement of synaptic delay and the time course of acetylcholine release at the neuromuscular junction. Proc. R. Soc. Lond. B. 161:483-495.
13. Korn, H., and D. S. Faber. 1991. Quantal analysis and synaptic efficacy in the CNS. Trends Neurosci. 14:439-445.
14. Lüscher, H. R. 1990. Transmission failure and its relief in the spinal monosynaptic reflex arc. In The Segmental Motor System. M. D. Binder and L. M. Mendell, editors. Oxford University Press, New York. 328-348.
15. Liley, A. W., and K. A. K. North. 1953. An electrical investigation of effects of repetitive stimulation on mammalian neuromuscular junctions. J. Neurophysiol. 16:509-527.
16. Martin, A. R. 1955. A further study of the statistical composition of the end-plate potential. J. Physiol. (Lond.). 130:114-122.
17. McLachlan, E. M. 1978. The statistics of transmitter release at chemical synapses. In International Review of Physiology, Neurophysiology III, Vol. 17. R. Porter, editor. University Park Press, Baltimore. 49-117.
18. Melkonian, D. S. 1993. Transient analysis of a chemical synaptic transmission. Biol Cybern. 68:341-350.
19. Mennerick, S., and C. F. Zorumski. 1995. Paired-pulse modulation of fast excitatory synaptic currents in microcultures of rat hippocampal neurons. J. Physiol. (Lond.). 488:85-101.
20. Mennerick, S., and C. F. Zorumski. 1996. Postsynaptic modulation of NMDA synaptic currents in rat hippocampal microcultures by paired-pulse stimulation. J. Physiol (Lond.). 490:405-417.
21. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. 1992. Numerical Recipes in C, 2nd ed. Cambridge University Press.
22. 2+ entry at the mouse neuromuscular junction: role of stochastic factors causing heterogeneity. Neuroscience. 51: 657-671.
23. Redman, S. 1990. Quantal analysis of synaptic potentials in neurons of central nervous system. Physiol. Rev. 70:165-198.
24. Vere-Jones, D. 1966. Simple stochastic models for the release of quanta of transmitter from a nerve terminal. Aust. J. Statist. 8:53-63
25. Walmsley, B. 1993. Quantal analysis of synaptic transmission. In Electrophysiology: A Practical Approach. D. I. Wallis, editor. IRL Press, Oxford.
26. Weatherburn, C. E. 1961. A First Course in Mathematical Statistics. Cambridge University Press, Cambridge.