Rhythmic Behavior Generated by Ensembles of Neurons

International Journal of Theoretical Physics

Volumn 37, Issue 12, 1998, Pages 3051-3068

  Roberts, Patrick D ^a  

^a Neurological Sciences Institute   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032259316     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026652317195     Document Type: Article

References (25)

1. Arieli, A., Shoham, D., Hildesheim, R., and Grinvald, A. (1995). Coherent spatiotemporal patterns of ongoing activity revealed by real-time optical imaging coupled with single-unit recording in the cat visual cortex, J. Neurophysiol. 73, 2072-2093.
2. Baker, R., and Berthoz, A. (1974). Organization of vestibular nystagmus in oblique oculomotor system. J. Neurophysiol. 37, 195-217.
3. Calabrese, R. L., Angstadt, J. D., and Arbas, A. E. (1989). A neural oscillator based on reciprocal inhibition, in Perspectives in Neural Systems and Behavior, Carew, T. J., and Kelly, D. B., eds., Liss, New York, pp. 35-50.
4. Carré, B. (1979). Graphs and Networks. Oxford University Press, Oxford.
5. Churchland, P. S., and Sejnowski, T. (1992). The Computational Brain, MIT Press, Cambridge, Massachusetts.
6. Crutchfield, J. P. (1994). The calculi of emergence: Computation, dynamics, and induction, Physica D, 75, 11-54.
7. Dirac, P. A. M. (1958). The Principles of Quantum Mechanics, Oxford University Press, Oxford.
8. Freeman, W. J. (1992). Tutorial on neurobiology: From single neurons to brain chaos, Int. J. Bifur. Chaos 2, 451-482.
9. Galiana, H. L., and Outerbridge, J. S. (1984). A bilateral model for central pathways in the vestibuloocular reflex, J. Neurophysiol. 51, 210-241.
10. Getting, P. (1989). Emerging principles governing the operation of neural networks, Annu. Rev. Neurosci. 12, 185-204.
11. Glass, L. (1974). Classification of biological networks by their qualitative dynamics, J. Theor. Biol. 54, 85-107.
12. Glass, L. (1975). Combinatorial and topological methods in nonlinear chemical kinetics, J. Chem. Phys. 63, 1325-1335.
13. Glass, L. (1977). Combinatorial aspects of dynamics in biological systems, in Statistical Mechanics and Statistical Methods in Theory and Applications, Landman, U., ed., Plenum Press, New York, pp. 585-611.
14. Glass, L., and Young, R. (1979). Structure and dynamics of neural network oscillators, Brain Res. 179, 207-218.
15. Green, A., and Galiana, H. L. (1996). Exploring sites for short-term vor modulation using a bilateral model, Ann. N. Y. Acad. Sci. 781, 625-628.
16. Hartline, D. K. (1987). Plateau potential, in Encyclopedia of Neuroscience, Adelman, G., ed., Birkhauser, Boston, pp. 955-956.
17. Johnson, B. R., and Hooper, S. L. (1992). Overview of the stomatogastric nervous system, in Dynamic Biological Networks, Harris-Warrick, R. M., Marder, E., Selverston, A. I., and Moulins, M., eds., MIT Press, Cambridge, Massachusetts, pp. 1-30.
18. Kling, V., and Szekely, G. (1968). Simulation of rhythmic nervous activities. i. Function of networks with cyclic inhibitions, Kybernetik 5, 89-103.
19. Llinás, R., and Sasaki, K. (1989). The functional organization of the olivo-cerebellar system as examined by multiple Purkinje cell recordings. Eur. J. Neurosci. 1, 587-602.
20. McCulloch, W. S., and Pitts, W. (1942). A logical calculus of the ideas immanent in nervous activity, Bull. Math. Biophys. 5, 115-133.
21. Roberts, P. D. (1996). Classification of temporal patterns in dynamical biological networks, Neural Comp. 10, 1831-1846.
22. Roberts, P. D. (1997). Classification of temporal patterns in the stomatogastric ganglion, Neurosci. 81, 281-296.
23. Roberts, P. D., McCollum, G., and Holly, J. E. (1996). Cerebellar rhythms: Exploring another metaphor, Behav. Brain Sci. 19, 471-472.
24. Singer, W., and Gray, C. M. (1995). Visual feature integration and the temporal correlation hypothesis, Annu. Rev. Neurosci. 18, 555-586.
25. Smith, H. L. H., and Galiana, H. L. (1991). The role of structural symmetry in linearized ocular reflexes, Biol. Cybernet. 65, 11-22.