Impact of temporal variation and the balance between excitation and inhibition on the output of the perfect integrate-and-fire model

Biological Cybernetics

Volumn 78, Issue 5, 1998, Pages 369-376

  Feng, Jianfeng ^a   Brown, David ^a  

^a BABRAHAM INSTITUTE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ANALYSIS OF VARIANCE; ANIMAL; ARTICLE; BIOLOGICAL MODEL; CYBERNETICS; HAPLORHINI; NERVE CELL; PHYSIOLOGY; SENSORY NERVE; SYNAPTIC TRANSMISSION; TIME; VISUAL CORTEX;

ACTION POTENTIALS; AFFERENT PATHWAYS; ANALYSIS OF VARIANCE; ANIMALS; CYBERNETICS; HAPLORHINI; MODELS, NEUROLOGICAL; NEURONS; SYNAPTIC TRANSMISSION; TIME FACTORS; VISUAL CORTEX;

EID: 0032061854     PISSN: 03401200     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004220050441     Document Type: Article

References (29)

1. Abbott LF, Varela JA, Sen K, Nelson SB (1997) Synaptic depression and cortical gain control. Science 275:220-223
2. Abeles M (1990) Corticonics. Cambridge University Press, Cambridge, U K
3. Albeverio S Fenstad JE, Heogh-Krohn, Lindstrom T (1986) Nonstandard methods in stochastic analysis and mathematical physics. Academic Press, New York
4. Balkema AA, De Haan L (1978a) Limit distributions for order statistics. I. Theory of probability and its applications, XXIII, 77-92
5. Balkema A A, De Haan L (1978b) Limit distributions for order statistics. II. Theory of probability and its applications, XXIII, 341-358
6. Bugmann G, Christodoulou C, Taylor JG (1997) Role of temporal integration and fluctuation detection in the highly irregular firing of a leaky integrator neuron models with partial reset. Neural Comput 9:985-1000
7. Feller W (1966) An introduction to probability theory and its applications. John Wiley, New York
8. Fcng J (1996) The hydrodynamic limit for the reaction diffusion equation - an approach in terms of the GPV method. J Theor Probab 9:285-299
9. Feng J (1997) Behaviours of spike output jitter in the integrate-and-fire model. Phys Rev Lett 79:4505-4508
10. Feng J, Brown D (1998) Spike output jitter, mean firing time and coefficient of variation. J Phys A Math Gen, 31:1239-1252
11. Feng J, Lei G, Qian M (1992) Second-order algorithms for SDE. J Comput Math 10:376-387
12. Gerstein GL, Mandelbrot B (1964) Random walk models for the spike activity of a single neuron. Biophys J 4:41-68
13. Holden AV (1976) Models of the stochastic activity of neurones. Springer, Berlin, Heidelberg, New York
14. Hopfield JJ, Herz AVM (1995) Rapid local synchronization of action potentials: towards computation with coupled integrateand-fire networks. Proc Natl Acad Sci USA 92:6655-6662
15. Inoue J, Sato S, Ricciardi LM (1995) On the parameter-estimation for diffusion-models of single neurons activities. 1. Application to spontaneuos activities of mesencephalic reticular-formation cells in sleep and wakinc states. Biol Cybern 73:209-221
16. Lánský P, Radil T (1987) Statisitical-inference on spontaneous neuronal discharge patterns. 1. Single neuron. Biol Cybern 55:299-311
17. Lánský P, Smith CE (1989) The effect of a random initial-value in neural first-passage-time models. Math Biosci 93:191-215
18. Knight B (1972) Dynamics of encoding in a population of neurones. J Gen Physiol 59:734-766
19. Koch C (1997) Computation and the single neuron. Nature, 385:207-210
20. Leadbetter MR, Lindgren G, Rootzén H (1983) Extremes and related properties of random sequences and processes. Springer, Berlin, Heidelberg, New York
21. Marsalek P, Koch C, Maunsell J (1997) On the relationship between synaptic input and spike output jitter in individual neurones. Proc Nat Acad Sci USA 94:735-740
22. Musila M, Lánský P (1994) On the interspike intervals calculated from diffusion approximations for Stein's neuronal model with reversal potentials. J Theor Biol 171:225-232
23. Ricciardi LM, Sato S (1990) Diffusion process and first-passage-times problems. In: Ricciardi LM (ed) Lectures in applied mathematics and informatics. Manchester University Press, Manchester
24. Shadlen MN, Newsome WT (1994) Noise, neural codes and cortical organization. Curr Opin Neurobiol 4:569-579
25. Softky W, Koch C (1993) The highly irregular firing of corticalcells is inconsistent with temporal integration of random EPSPs. J Neurosci 13:334-350
26. Terman D, Bose A, Kopell N (1996) Functional reorganization in thalamocortical networks: transition between spindling and delta sleep rhythms. Proc Nat Acad Sci USA 93:15417-15422
27. Thomson AM (1997) Activity-dependent properties of synaptic transmission at two classes of connections made by rat neocortical pyramidal. J Physiol 502:131-147
28. Troycr TW, Miller KD (1997) Physiological gain leads to high ISI variability in a simple model of a cortical regular spiking cell. Neural Comput 9:733-745
29. Tuckwell HC (1988) Introduction to theoretical neurobiology Vol 2. Cambridge University Press, Cambridge, UK