Conditions for noise reduction and stable encoding of spatial structure by cortical neural networks

Biological Cybernetics

Volumn 82, Issue 6, 2000, Pages 469-475

  Gutkin, Boris S ^a   Smith, Charles E ^b  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; HAPLORHINI; NERVE CELL NETWORK; PHYSIOLOGY; SOMATOSENSORY CORTEX;

ANIMALS; HAPLORHINI; MODELS, BIOLOGICAL; NERVE NET; SOMATOSENSORY CORTEX;

EID: 0034204355     PISSN: 03401200     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004220050599     Document Type: Article

References (33)

1. Amit DJ, Brunel N (1997) Model of global spontaneous activity and local structured activity during delay Cereb Cortex 7: 237-252
2. Arieli A, Sterkin A, Grinvald A, Aertgen A (1996) Dynamics of ongoing activity: explanation of the large variability in evoked cortical responses. Science 273: 1868-1871
3. Bell AJ, Mainen ZF, Tsodyks M, Sejnowski TJ (1995) What are the causes of cortical variability? Neural Dynamics Workshop, Prague, Czech Republic
4. Buhmann J, Schulten K (1987) Influence of noise on the function of a "physiological" neural network. Biol Cybern 56: 313-327
5. Cohen MA, Grossberg S (1983) Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans Syst Man Cybern SMC-13: 815-826
6. Cowan JD (1970) A statistical mechanics of nervous activity. Lectures on mathematics in life sciences II: some mathematical questions in biology. American Mathematical Society, Providence, RI
7. DeFelipe J, Farinas U (1992) The pyramidal neuron of the cerebral cortex: morphological and chemical characteristics of the synaptic inputs. Prog Neurobiol 39: 563-607
8. DeFelipe J, Hendry SHC, Hashikawa T, Molinari M, Jones EG (1990) A microcolumnar structure of monkey cerebral cortex revealed by immunocytochemical studies of double bouquet cells. Neuroscience 37: 655-673
9. Douglas RJ, Koch C, Mahowald M, Martin KAC, Suarez HH (1995) Recurrent excitation in neurocortical circuits. Science 269: 981-985
10. Ermentrout G (1982) Asymptotic behaviour of stationary homogeneous neuronal nets. Competition and Cooperation in Neuronal Nets, Berlin Springer-Verlag
11. Ermentrout GB (1998) Neural networks as spatio-temporal pattern forming systems. Rep Prog Phys 61: 353-430
12. Gutkin BS, Smith CE (1994) On the stochastic stability of a neural network model of somatosensory information processing. In: Bower J (ed) Neurobiology of computation. Kluwer, Boston, pp 221-226
13. Holt GR, Softky WR, Koch K, Douglas RJ (1996) A comparison of discharge variability in vitro and in vivo in cat visual cortex neurons. J Neurophysiol 75: 1806-1814
14. Jones EG (1981) The columnar basis of cortical circuitry. In : Willis WD (ed) The clinical neurosciences. Churchill Livingstone, London
15. Juliano SL, Hand PJ, Whitsel BL (1981) "Patterns of increased metabolic activity in somatosensory cortex of monkeys macca fascicularis, subjected to controlled cutaneous stimulation: a 2-deoxyglucose study. J Neurophysiol 46: 1260-1284
16. Kelly DG (1988) Contractive nonlinear neural networks: stability and spatial frequencies. Institute of Statistics Mimeo Series 1749, University of North Carolina, Chapel Hill
17. Kelly DG (1990) Stability in contractive nonlinear neural networks. IEEE Trans Biomed Eng 37: 231
18. Kishimoto K, Amari S (1979) Existence and stability of local excitations in homogeneous neural fields. J Math Biol 7: 303-318
19. Kloeden PE, Platen E (1994) Numerical solutions to stochastic differential equations. Springer New York Berlin Heidelberg
20. Kroner L, Kaplan E (1990) Response variability in retinal ganglion cells in primates. Proc Natl Acad Sci USA 90: 8128-8130
21. Levitt JB, Lewis DA, Yoshioka T, Lund JS (1993) Topography of pyramidal neuron intrinsic connections in macaque monkey prefrontal cortex (Area 9 and 46). J Comp Neurol 338: 360-376
22. Lund JS, Lewis DA (1993) Local circuit neurons of developing and mature macaque prefrontal cortex: Golgi and immunocytochemical characteristics. J Comp Neurol 328: 282-312
23. Marcus CM, Westervelt T (1989) Stability of Analog Neural Networks with Delay Phys Rev A 39: 347-350
24. Mason A, Nicoll A, Stafford K (1991) Synaptic transmission between individual pyramidal neurons of the rat visual cortex in vitro. J Neurosci 11: 72-84
25. Ohura T, Cowan JD (1995) Stochastic single neurons. Neural Comput 7: 518-529
26. Reich D, Victor J, Knight B, Ozaki T (1997) Response variability and timing precision of neuronal spike trains in vivo. J Neurophysiol 77: 2836-2841
27. Ricciardi LM (1994) Diffusion models of single neurons. In: Ventriglia F (ed) Neural modeling and neural networks, Pergamon Press, Oxford, pp 129-162
28. Shadlen MN, Newsome WT (1998) The variable discharge of cortical neurons: implications for connectivity, computation, and information coding. J Neurosci 18: 3870-3896
29. Shamma S (1989) Spatial and temporal processing in central auditory networks. In: Koch C, Segev I (eds), Methods in neuronal modelling: from synapses to networks. MIT Press, Cambridge, Mass, pp 247-291
30. Smith CE, Kelly DG (1985) Simulations of a spatiotemporal model for cortical 2-DG pattern. Abstract 264.14. 15th Annual Meeting, Dallas, Texas American Society for Neuroscience
31. Swartz HR (1973) Numerical analysis of symmetric matrices. Prentice-Hall, Englewood Cliffs, NJ
32. Thomson AM, Deuchars J (1994) Temporal and spatial properties of local circuits in neocortex. Trends Neurosci 17: 119-126
33. Whitsel B, Kelly D (1988) Knowledge acquisition ("learning") by the somatosensory cortex. Brain structure, learning, and memory. Westview Press, Boulder, pp 93-127