Stationary bumps in networks of spiking neurons

Neural Computation

Volumn 13, Issue 7, 2001, Pages 1473-1494

  Laing, Carlo R ^a   Chow, Carson C ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ANIMAL; ARTICLE; BIOLOGICAL MODEL; CYTOLOGY; HEAD MOVEMENT; MEMORY; NERVE CELL; NERVE CELL NETWORK; PHYSIOLOGY; RAT; SYNAPTIC TRANSMISSION; VISUAL SYSTEM;

ACTION POTENTIALS; ANIMALS; HEAD MOVEMENTS; MEMORY; MODELS, NEUROLOGICAL; NERVE NET; NEURONS; RATS; SYNAPTIC TRANSMISSION; VISUAL PATHWAYS;

EID: 0035403248     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/089976601750264974     Document Type: Article

References (33)

1. Abbott, L. F., & Van Vreeswijk, C. (1993). Asynchronous states in a network of pulse-coupled oscillators. Phys. Rev. E, 48, 1483-1490.
2. Amari, S. (1977). Dynamics of pattern formation in lateral-inhibition type neural fields. Biol. Cybern., 27, 77-87.
3. Amit, D. J., & Brunel, N. (1997). Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex. Cereb. Cortex, 7, 237-252.
4. Amit, D. J., & Tsodyks, M. V. (1991). Quantitative study of attractor neural network retrieving at low spike rates: I. Substrate - spikes, rates and neuronal gain. Network, 2, 259-273.
5. Bresslof, P. C., Bresslof, N. W., & Cowan, J. D. (1999). Dynamical mechanism for sharp orientation tuning in an integrate-and-fire model of a cortical hypercolumn. Preprint 99/13, Department of Mathematical Sciences, Loughborough University.
6. Bresslof, P. C., & Coombes, S. (1998). Spike train dynamics underlying pattern formation in integrate-and-fire oscillator networks. Phys. Rev. Lett., 81(11), 2384-2387.
7. Camperi, M., & Wang, X.-J. (1998). A model of visuospatial working memory in prefrontal cortex: Recurrent network and cellular bistability. J. Comput. Neurosci., 5, 383-405.
8. Chow, C. C. (1998). Phase-locking in weakly heterogeneous neuronal networks. Physica D, 118, 343-370.
9. Colby, C. L., Duhamel, J.-R., & Goldberg, M. E. (1995). Oculocentric spatial representation in parietal cortex. Cerebral Cortex, 5, 470-481.
10. Compte, A., Brunel, N., & Wang, X.-J. (1999). Spontaneous and spatially tuned persistent activity in a cortical working memory model. Abstract, Computational Neuroscience Meeting.
11. Ermentrout, G. B. (1996). Type I membranes, phase resetting curves, and synchrony. Neural Comp., 8, 979-1001.
12. Ermentrout, G. B. (1998). Neural networks as spatio-temporal pattern-forming systems. Reports on Progress in Physics, 61(4), 353-430.
13. Fohlmeister, C., Gerstner, W., Ritz, R., & van Hemmen, J. L. (1995). Spontaneous excitations in the visual cortex: Stripes, spirals, rings and collective bursts. Neural Comp., 7(5), 905-914.
14. Funahashi, S., Bruce, C. J., & Goldman-Rakic, P. S. (1989). Mnemonic coding of visual space in the monkey's dorsolateral prefrontal cortex. J. Neurophysiology, 61(2), 331-349.
15. Gerstner, W. (1995). Time structure of the activity in neural networks models. Phys. Rev. E, 51, 738-758.
16. Gerstner, W. (1998). Populations of spiking neurons. In W. Maass & C. M. Bishop (Eds.), Pulsed neural networks (pp. 261-295). Cambridge, MA: MIT Press.
17. Gerstner, W. (2000). Population dynamics of spiking neurons: Fast transients, asynchronous states, and locking. Neural Comput., 12, 43-89.
18. Gerstner, W., van Hemmen, J. L., & Cowan, J. (1996). What matters in neuronal locking? Neural Comput., 8, 1653-1676.
19. Gutkin, B. S., Laing, C. R., Chow, C. C., Colby, C., & Ermentrout, G. B. (2000). Turning on and off with excitation: The role of spike-timing asynchrony and synchrony in sustained neural activity. Preprint.
20. Hansel, D., Mato, G., & Meunier, C. (1995). Synchrony in excitatory neural networks. Neural Comput., 7, 307-335.
21. Hansel, D., & Sompolinsky, H. (1998). Modeling feature selectivity in local cortical circuits. In C. Koch & I. Segev (Eds.), Methods in neuronal modeling (2nd ed.). Cambridge, MA: MIT Press.
22. Hopfield, J. J. (1984). Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. USA, 81, 3088-3092.
23. Horn, D., & Opher, I. (1997). Solitary waves of integrate-and-fire neural fields. Neural Comp., 9(8), 1677-1690.
24. Kishimoto, K., & Amari, S. (1979). Existence and stability of local excitations in homogeneous neural fields. J. Math. Biology, 7, 303-318.
25. Redish, A. D., Elga, A. N., & Touretzky, D. S. (1996). A coupled attractor model of the rodent head direction system. Network, 7, 671-685.
26. Shriki, O., Sompolinsky, H., & Hansel, D. (1999). Rate models for conductance based cortical neuronal networks. Preprint.
27. Skaggs, W. E., Knierim, J. J., Kudrimoti, H. S., & McNaughton, B. L. (1995). A model of the neural basis of the rat's sense of direction. In G. Tesauro, D. Touretzky, & T. Leen (Eds.), Advances in neural information processing systems, 7 (pp. 173-180). Cambridge, MA: MIT Press.
28. Somers, D. C., Nelson, S. B., & Sur, M. (1995). An emergent model of orientation selectivity in cat visual cortical simple cells. J. Neuroscience, 15, 5448-5465.
29. Treves, A. (1993). Mean-field analysis of neuronal spike dynamics. Network, 4, 259-284.
30. Van Vreeswijk, C., Abbott, L. F., & Ermentrout, G. B. (1994). When inhibition not excitation synchronizes neural firing. J. Comp. Neurosci., 1, 313-321.
31. Wilson, H. R., & Cowan, J. D. (1972). Excitatory and inhibitory interactions in localized populations of model neurons. Biophysical J., 12, 1-24.
32. Wilson, H. R., & Cowan, J. D. (1973). A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetic, 13, 55-80.
33. Zhang, K. (1996). Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensembles: A theory. J. Neuroscience, 16, 2112-2126.