Estimation and Verification of a Stochastic Neuron Model

IEEE Transactions on Biomedical Engineering

Volumn BME-33, Issue 7, 1986, Pages 654-666

  O'Neill, William D ^a   Lin, James C ^a   Ma, Ying Chang ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CURRENT DENSITY; INTEGRATION; NERVE CELL MEMBRANE POTENTIAL; NERVE CELL MODEL; NERVOUS SYSTEM; NONBIOLOGICAL MODEL; NONHUMAN; SIGNAL PROCESSING; SNAIL;

MATHEMATICAL MODELS; PROBABILITY; SYSTEMS SCIENCE AND CYBERNETICS - NEURAL NETS;

BIOLOGICAL CELLS; LEAKY INTEGRATOR MODEL; NERVOUS SYSTEM; NEURON MODEL;

BIOMEDICAL ENGINEERING;

EID: 0022559355     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/TBME.1986.325755     Document Type: Article

References (26)

1. A. L. Hodgkin and A. F. Huxley, “A quantitative description of membrane current and its application to conduction and excitation in nerve,” J. Physiol., vol. 117, pp. 500–544, 1952.
2. R. Fitzhugh, “Mathematical models of excitation and propagation in nerve,” in Biological Engineering, H. P. Schwan, Ed. New York: McGraw-Hill, 1969, pp. 1–85.
3. —, “Thresholds and plateaus in the Hodgkin-Huxley nerve equation,” J. Gen. Physiol., vol. 43, pp. 867–896, 1960.
4. K. F. Bonhoeffer, “Activation of passive ion as a model for the excitation of nerve,” J. Gen. Physiol., vol. 32, pp. 69–91, 1948.
5. J. J. B. Jack, D. Noble, and R. W. Tsien, Electric Current Flow in Excitable Cells. Oxford, England: Clarendon, 1975, ch. 11.
6. C. Hayashi, Nonlinear Oscillations in Physical Systems. New York: McGraw-Hill, 1964.
7. W. D. O'Neill and J. C. Lin, “An information channel model of a neuron encoder and possible microwave radiation effects on capacity,” IEEE Trans. Syst., Man, Cybern., vol. SMC-14, no. 5, pp. 717–725, 1984.
8. W. D. O'Neill, J. C. Lin, and J. A. Furlong, “Encoder capacity calculations for an empirically based neuron model,” IEEE Trans. Syst., Man, Cybern., to be published.
9. W. Rall, “Time constants and electrotonic length of membrance cylinders and neurons,” Biophys. J., vol. 9, pp. 1483–1508, 1969.
10. B. W. Knight, “Dynamics of encoding in a population of neurons,” J. Gen. Physiol., vol. 59, pp. 734–766, 1972.
11. A. V. Holden, Models of the Stochastic Activity of Neurons. Berlin: Springer-Verlag, 1976, ch. 6.
12. W. Rall, R. E. Burke, T. G. Smith, P. G. Nelson, and F. Frank, “Dendrite location of synapses and possible mechanisms for the monosynaptic EPSP in motoneurons,” J. Neurophysiol., vol. 30, pp. 1169–1193, 1967.
13. C. R. Anderson and C. F. Stevens, “Voltage clamp analysis of acetylcholine produced end-plate current fluctuations at frog neuromuscular junction,” J. Physiol. (London), vol. 235, pp. 655–691, 1973.
14. G. A. Kerkut, J. D. C. Lambert, R. J. Gayton, J. E. Loker, and R. J. Walker, “Mapping of nerve cells in the suboesophageal ganglion of Helix Aspersa,” Comparative Biochem. Physiol., vol. 50A, pp. 1–25, 1975.
15. J. E. Loker, G. A. Kerkut, and R. J. Walker, “An electrophysiological, pharmacolological and fluorescent study on twelve identified neurons from the brain of Helix Aspersa,” Comparative Biochem. Physiol., vol. 50A, pp. 443–452, 1975.
16. G. A. Cottrell and N. N. Osborne, “Subcellular localization of serotonin in an serotonin containing neuron,” Nature (London), vol. 225, pp. 470–472, 1970.
17. E. R. Kandel and L. Tauc, “Input organization of two symmetrical giant cells in the snail brain,” J. Physiol. (London), vol. 183, pp. 269–286, 1966.
18. J. C. Lin and S. L. Arbor, “Noise modulated microwave induced responses of snail neurons,” Physiol. Chem. Phys., vol. 15, pp. 261–263, 1983.
19. H. H. Liu and Y. I. Kim, “A computer system for real-time data acquisition and analysis of biopotentials and quantal content at the neuromuscular junction,” Comput. Programs in Biomed., vol. 16, pp. 161–174, 1983.
20. S. R. Quint, “On-line analysis of neuromuscular bioelectric potentials,” Comput. Programs in Biomed., vol. 16, pp. 3–12, 1983.
21. R. E. Walpole and R. H. Myers, Probability and Statistics for Engineers and Scientists. New York: Macmillan, 1978.
22. G. E. P. Box and G. M. Jenkins, Time Series Analysis. San Francisco, CA: Holden-Day, 1976.
23. D. Junge and G. P. Moore, “Interspike interval fluctuations in Aplsia pacemaker neurons,” Biophys. J., vol. 6, pp. 411–434, 1966.
24. D. R. Scriven, “Modeling repetitive firing and bursting in a small, unmyelinated nerve fiber,” Biophys. J., vol. 35, pp. 715–730, 1981.
25. S. S. Wilks, Mathematical Statistics. New York: Wiley, 1962.
26. P. R. Adams, “Kinetics of agonist conductance changes during hy-perpolarization at frog endplates,” Brit. J. Pharmocol., vol. 53, pp. 308–310, 1974.