Stochastic dynamics of a neural network with inhibitory and excitatory connections

BioSystems

Volumn 40, Issue 1-2, 1997, Pages 197-202

  Turova, Tatyana ^a,b  

^a UNIVERSITY OF DELAWARE   (United States)

^b INSTITUTE OF MATHEMATICAL PROBLEMS OF BIOLOGY   (Russian Federation)

Author keywords

Markov chain; Neural network; Ornstein Uhlenbeck process; Process of inhibitions

Indexed keywords

CONFERENCE PAPER; DYNAMICS; NERVE CELL; NERVE CELL NETWORK; OSCILLATION; PROBABILITY; STOCHASTIC MODEL;

EID: 0031060287     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/0303-2647(96)01646-2     Document Type: Conference Paper

References (8)

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3. Kryukov, V.I., Borisyuk, G.N., Borisyuk, R.M., Kirillov, A.B. and Kovalenko, Ye.I., 1990, Metastable and unstable states in the brain, in: Stochastic Cellular Systems: Ergodicity, Memory, Morphogenesis, R.L. Dobrushin, V.I. Kryukov and A.L. Toom (eds.) (Manchester Univ. Press, Manchester, UK and New York, NY), pp. 226-357.
4. Lansky, P. and Rospars J.-P., 1995, Ornstein-Uhlenbeck model neuron revisited. Biol. Cybern. 72, 397-406.
5. Tuckwell, H.C., 1989, Stochastic Processes in the Neurosciences. CBMS Regional Conference Series in Applied Mathematics 56 (SIAM, Philadelphia).
6. Turova, T.S., Mommaerts, W. and van der Meulen, E.C., 1994, Synchronization of firing times in a stochastic neural network model with excitatory connections. Stochastic Process. Appl. 50, 173-186.
7. Turova, T.S., 1994, Exponentially fast convergence of the process of inhibitions, in: Cybernetics and Systems '94, R. Trappl (ed.) (World Scientific), pp. 771-776.
8. Turova, T.S., 1995, Comparative analysis of some stochastic neural networks. Preprint, ULB, Brussels.