Hierarchical Mixture Models in Neurological Transmission Analysis

Journal of the American Statistical Association

Volumn 92, Issue 438, 1997, Pages 587-606

  West, Mike ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

Bayesian computation; Deconvolution Mixture model; Neural response activity; Parameter identification in mixtures; Quantal synaptic transmission

Indexed keywords

EID: 0031497384     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1997.10474011     Document Type: Article

References (29)

1. Besag, J., and Green, P. J. (1993), "Spatial Statistics and Bayesian Computation," Journal of the Royal StatisticalSociety, Ser. B, 55, 25-37.
2. Clements, J. D. (1991), "Quantal Synaptic Transmission"," Nature, 353, 396.
3. Cao, G and West, M. (1996), "Bayesian Analysis of Mixtures of Mixtures," Biometrics, 52, 221-227.
4. Escobar, D. M., and West, M. (1995), "Bayesian Density Estimation and Inference Using Mixtures," Journal ofthe American Statistical Association, 90, 577-588.
5. Ferguson, T. S. (1973), "A Bayesian Analysis of Some Nonparametric Problems," The Annals of Statistics, 1, 209-230.
6. Gelfand, A. E., and Smith, A F. M. (1990), "Sampling-Based Approaches to Calculating Marginal Densities," Journal of the American Statistical Association, 85, 398-409.
7. Kullman, D. M. (1989), "Application of the Expectation-Maximization Algorithm to Quantal Analysis of Postsynaptic Potentials," Journal ofNeuroscience Methods, 30, 231-245.
8. Kullman, D. M (1992), "Quantal Analysis Using Maximum Entropy Noise Deconvolution," Journal of Neuroscience Methods, 44, 47-57.
9. Kullman, D. M., and Nicoll, R A (1992), "Long-Term Potentiation is Associated With Increases in Quantal Content and Quantal Amplitude," Nature, 357, 240-244.
10. Ling, L., and Tolhurst, D. J. (1983), "Recovering the Parameters of Finite Mixtures of Normal Distributions From a Noisy Record: An Empirical Comparison of Differing Estimating Procedures," Journal ofNeuroscience Methods, 8, 309-333.
11. MacEachern, S. N. (1994), "Estimating Normal Means With a ConjugateStyle Dirichlet Process Prior," Communications in Statistics, Part BSimulation and Computation, 23, 727-741.
12. Martin, A R (1966), "Quantal Nature of Synaptic Transmission," Physiology Review, 46, 51-66.
13. Redman, S. (1990), "Quantal Analysis of Synaptic Potentials in Neurons of the Central Nervous System," Physiology Review, 70, 165-198.
14. Smith, A F. M., and Roberts, G. O. (1993), in "Bayesian Computation via the Gibbs Sampler and Related Markov Chain Monte Carlo Methods," Journal Of the Royal Statistical Society, Ser. B, 55, 3-23.
15. Tierney, L. J. (1994), "Markov Chains for Exploring Posterior Distributions," The Annals of Statistics, 22, 1701-1728.
16. Titterington, D. M., Smith, A F. M., and Makov, U. E. (1985), Statistical Analysis of Finite Mixture Distributions, Chichester, U.K.: Wiley.
17. Turner, D. A. (1987), "Identification of Components of Evoked Composite EPSP's in CAl Hippocampal Pyramidal Neurons," Neuroscience Abstracts, 13, 155.
18. Turner, D. A., Chen, Y, Isaac, J., West, M., and Wheal, H. V. (1995a), "Heterogeneity Between Non-NMDA Synaptic Sites in Paired-Pulse Plasticity of CAl Pyramidal Neurons in the Hippocampus," Journal of Physiology, in press.
19. Turner, D. A, Isaac, J., Chen, Y., Stockley, E., and Wheal, H. V. (1995b), "Analysis of Dendritic Synaptic Sites in Hippocampal CAl Pyramidal Cells-Assessment of Variability and Non-Uniformity," in Excitatory Amino Acids and Synaptic Transmission, ed. H. V. Wheal and A. M. Thomson, London: Academic Press.
20. Turner, D. A, and Schlieckert, M. (1990), "Data Acquisition and Analysis System for Intracellular Neuronal Signals," Journal ofNeuroscience Methods, 35, 241-251.
21. Turner, D. A, and West, M. (1993), "Statistical Analysis of Mixtures Applied to Postsynaptic Potential Fluctuations," Journal of Neuroscience Methods, 47, 1-23.
22. Turner, D. A, and Wheal, H. V. (1991), "Excitatory Synaptic Potentials in Kainic Acid Denervated Rat CAl Pyramidal Neurons," Journal of Neuroscience, II, 2786-2794.
23. Walmsley, B., Edwards, F. R, and Tracey, D. J. (1987), ''The Probabilistic Nature of Synaptic Transmission at a Mammalian Excitatory Central Synapse," Journal of Neuroscience, 7, 1037-1046.
24. Walmsley, B., Edwards, F. R, and Tracey, D. J (1988), "Nonuniform Release Probabilities Underlie Quantal Synaptic Transmission at a Mammalian Excitatory Central Synapse," Journal ofNeuroscience, 60, 889-908.
25. West, M. (1992),"Hyperparameter Estimation in Dirichlet Process Mixture Models," ISDS Discussion Paper 92-A03, Duke University.
26. West, M., and Cao, G. (1993), "Assessing Mechanisms of Neural Synaptic Activity," in Bayesian Statistics in Science and Technology:Case Studies,. eds. C. Gatsonis, J. Hodges, R. Kass, and N. Singpurwalla, New York: Springer-Verlag.
27. West, M., Miiller, P., and Escobar, M. D. (1994), "Hierarchical Priors and Mixture Models, With Applications in Regression and Density Estimation," in Aspects of Uncertainty: A Tribute to D. V. Lindley, eds. Journal of the American Statistical Association, June 1997 A. F. M. Smith and P. Freeman, Oxford, U.K.: Oxford University Press.
28. West, M., and Turner, D. A. (1994), "Deconvolution of Mixtures in Analysis of Neural Synaptic Transmission," The Statistician, 43, 31-43.
29. Wong, K., and Redman, S. J. (1980), "The Recovery of a Random Variable From a Noisy Record With Application to the Study of Fluctuations in Synaptic Potentials," Journal of Neuroscience Methods, 2, 389-409