Activity in sparsely connected excitatory neural networks: Effect of connectivity

Neural Networks

Volumn 11, Issue 3, 1998, Pages 415-434

  Pham, Joël ^a   Pakdaman, Khashayar ^a,b   Champagnat, Jean ^c   Vibert, Jean François ^a  

^a SORBONNE UNIVERSITÉ   (France)

^b OSAKA UNIVERSITY   (Japan)

^c Institut Alfred Fessard   (France)

Author keywords

Excitatory connections; Neural network model; Noise; Rhythm generation; Spontaneous activity

Indexed keywords

AMPLIFICATION; COMPUTER SIMULATION; MATHEMATICAL MODELS; SPURIOUS SIGNAL NOISE;

EXCITATORY CONNECTIONS; RHYTHM GENERATION;

NEURAL NETWORKS;

ARTICLE; MATHEMATICAL MODEL; NERVE CELL EXCITABILITY; NERVE CELL NETWORK; PRIORITY JOURNAL; SOLITARY TRACT NUCLEUS;

EID: 0032053324     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(97)00153-6     Document Type: Article

References (30)

1. Amari S. Characteristics of random nets of analog neuron-like elements. IEEE Transactions SMC-. 2(5):1972;643-657.
2. Amari S. A method of statistical neurodynamics. Kybernetik. 14:1974;201-215.
3. Amari S., Yoshida K., Kanatani K. A mathematical foundation for statistical neurodynamics. SIAM Journal on Applied Mathematics. 33(1):1977;95-126.
4. Anninos P.A., Beek B., Csermely T.J., Harth E.M., Pertile G. Dynamics of neural structures. Journal of Theoretical Biology. 26:1970;121-148.
5. Ashby W.R., Forester F.V., Walker C.C. Instability of pulse activity in a net with threshold. Nature. 196:1962;561-562.
6. Bennett F.M., St John W.M. Function in ventilatory control of respiratory neurons at the pontomedullary junction. Respiration Physiology. 61:1985;153-166.
7. Bianchi A.L., Denavit-Saubie M., Champagnat J. Central control of breathing in mammals: neuronal circuitry, membrane properties, and neurotransmitters. Physiological Reviews. 75:1995;1-45.
8. Bottani S. Pulse-coupled relaxation oscillators: from biological synchronization to self-organized criticality. Physical Review Letters. 74:1996;4189-4192.
9. Caille D., Vibert J.-F., Bertrand F., Gromysz H., Hugelin A. Pentobarbitone effects on respiration related units; selective depression of bulbopontine reticular neurones. Respiration Physiology. 36:1979;201-216.
10. Caille D., Vibert J.-F., Hugelin A. Apneusis and apnea after parabrachial or Kolliker Fuse N. lesion; influence of wakefulness. Respiration Physiology. 45:1981;79-95.
11. Caille D., Foutz A.S., Vibert J.-F., Hugelin A. Gallamine and vagotomy enhance respiratory modulation of reticular units. Brain Research. 299:1984;79-89.
12. Cox, D.R., Lewis, P.A.W., 1966. Statistical Analysis of Series of Events. Methuen, London.
13. Ezure K. Synaptic connections between medullary respiratory neurons and considerations on the genesis of respiratory rhythm. Progress in Neurobiology. 35:1990;429-450.
14. Fortin, G., 1993. Le réseau neuronal du complexe solitaire: roles réspectifs des connexions synaptiques, des propriétés membranaires et du métabolisme intracellulaire. Thèse de doctorat de l'université Paris VI.
15. Fortin G., Champagnat J. Spontaneous synaptic activities in rat nucleus tractus solitarius neurons in vitro. Brain Research. 630:1993;125-135.
16. Gerstner W., van Hemmen J.L., Cowan J.D. What matters in neuronal locking? Neural Computation. 8(8):1996;1653-1676.
17. Koepchen H.P., Lazar H., Borchert J. On the role of the nucleus infrasolitarius in the determination of respiratory periodicity. Proceedings of the International Union of Physiological Scientists. 11:1974;81-86.
18. MacGregor R.J., Palasek R.L. Computer simulation of rhythmic oscillations in neuron pools. Kybernetik. 16:1974;79-86.
19. Mirollo R.E., Strogatz S.H. Synchronization of pulse coupled biological oscillators. SIAM Journal on Applied Mathematics. 50:1990;1645-1662.
20. Richter D.W., Ballantyne D., Remmers J.E. How is the respiratory rhythm generated? News in Physiological Sciences. 1:1986;109-112.
21. Senn W., Wyler K., Streit J., Larkum M., Lüscher H.R., Mey H., Müller L., Stainhauser D., Vogt K., Wannier Th. Dynamics of a random neural network with synaptic depression. Neural Networks. 9(4):1996;575-588.
22. St John, W.M., 1983. Multiple potential sites for ventilatory neurogenesis in the central nervous system. In: Proceedings of the Symposium on the Modeling and Control of Breathing, September 13-16 1982, California, USA. Elsevier Science, pp. 94-98.
23. St John W.M., Bartlett D. Jr., Knuth K.V., Hwang J.-C. Brainstem genesis of automatic ventilatory patterns independent of spinal mechanisms. Journal of Applied Physiology - Respiration Environment. 51:1981;204-210.
24. Usher M., Schuster H.G., Niebur E. Dynamics of populations of integrate-and-fire neurons, partial synchronization and memory. Neural Computation. 5:1993;570-586.
25. Van Ooyen A., Van Pelt J. The emergence of long-lasting transients of activity in simple neural networks. Biological Cybernetiks. 67:1992;269-277.
26. Vanvreeswijk C., Abbott L. Self-sustained firing in population of integrate and fire neurons. SIAM Journal on Applied Mathematics. 53:1993;253-264.
27. Vibert, J.-F., Caille, D., 1985. Respiratory rhythmogenesis depends upon three main subsystems. In: Bianchi, A.L., Denavit-Saubié, M. (Eds.), Neurogenesis of Central Respiratory Rhythm. MTP Press Ltd, Lancaster, pp. 62-65.
28. Vibert J.-F., Pakdaman K., Azmy N. Interneural delay modification synchronizes biologically plausible neural networks. Neural Networks. 7(4):1994;589-607.
29. Vibert, J.-F., Pakdaman, K., Cloppet, F., Azmy, N., 1994b. NBC: a workstation for biological neural network simulation. In: J. Skrzypek (Ed.), Neural Network Simulation Environments. Kluwer Academic, Boston, USA, pp. 113-132.
30. Wong R., Harth E. Stationary states and transients in neural populations. Journal of Theoretical Biology. 40:1973;77-106.