Rate models for conductance-based cortical neuronal networks

Neural Computation

Volumn 15, Issue 8, 2003, Pages 1809-1841

  Shriki, Oren ^a   Hansel, David ^a,b   Sompolinsky, Haim ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ARTICLE; BIOLOGICAL MODEL; CELL COMPARTMENTALIZATION; CYTOLOGY; ELECTRIC CONDUCTIVITY; NERVE CELL; PHYSIOLOGY; SYNAPSE; VISUAL CORTEX;

ACTION POTENTIALS; CELL COMPARTMENTATION; ELECTRIC CONDUCTIVITY; MODELS, NEUROLOGICAL; NEURONS; SYNAPSES; VISUAL CORTEX;

EID: 0041324844     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/08997660360675053     Document Type: Article

References (38)

1. Abbott, L. F., & Kepler, T. (1990). Model neurons: From Hodgkin-Huxley to Hopfield. In L. Garrido (Ed.), Statistical mechanics of neural networks (pp. 5-18). Berlin: Springer-Verlag.
2. Ahmed, B., Anderson, J. C., Douglas, R. J., Martin, K. A., & Whitteridge, D. (1998). Estimates of the net excitatory currents evoked by visual stimulation of identified neurons in cat visual cortex. Cereb. Cortex, 8, 462-476.
3. Amit, D. J. (1989). Modeling brain function. Cambridge: Cambridge University Press.
4. Amit, D. J., & Tsodyks, M. V. (1991). Quantitative study of attractor neural networks retrieving at low spike rates I: Substrate - spikes, rates and neuronal gain. Network, 2, 259-273.
5. Azouz, R., Gray, C. M., Nowak, L. G., & McCormick, D. A. (1997). Physiological properties of inhibitory interneurons in cat striate cortex. Cereb. Cortex, 7, 534-545.
6. Ben-Yishai, R., Lev Bar-Or, R., & Sompolinsky, H. (1995). Theory of orientation tuning in visual cortex. Proc. Natl. Acad. Sci. USA, 92, 3844-3848.
7. Borg-Graham, L. J., Monier, C., & Fregnac, Y. (1998). Visual input evokes transient and strong shunting inhibition in visual cortical neurons. Nature, 393, 369-373.
8. Brizzi, L., Hansel, D., Meunier, C., van Vreeswijk, C., & Zytnicki, D. (2001). Shunting inhibition: A study using in vivo dynamic clamp on cat spinal motoneurons. Society for Neuroscience Abstract, 934. 3.
9. Brunel, N., Chance, F. S., Fourcaud, N., & Abbott, L. F. (2001). Effects of synaptic noise and filtering on the frequency response of spiking neurons. Phys. Rev. Lett., 86, 2186-2189.
10. Carandini, M., Fernec, M., Leonard, C. S., & Movshon, J. A. (1996). Spike train encoding by regular-spiking cells of the visual cortex. J. Neurophysiol., 76, 3425-3441.
11. Carandini, M., Anderson, J., & Ferster, D. (2000). Orientation tuning of input conductance, excitation, and inhibition in cat primary visual cortex. J. Neurophysiol., 84, 909-926.
12. Chance, F. S., du Lac, S., & Abbott, L. F. (2001). An integrate-or-fire model of spike rate dynamics. Society for Neuroscience Abstract, 821.44.
13. Chance, F. S., Abbott, L. F., & Reyes, A. D. (2002). Gain modulation from background synaptic input. Neuron, 35, 773-782.
14. Churchland, P. S., & Sejnowski, T. J. (1992). The computational brain. Cambridge, MA: MIT Press.
15. B receptor-mediated responses in neocortex of rat and cat. J. Physiol (Lond.), 406, 443-468.
16. Ermentrout, B. (1994). Reduction of conductance based models with slow synapses to neural nets. Neural Comp., 6, 679-695.
17. Ermentrout, B. (1998). Linearization of F-I curves by adaptation. Neural Comp., 10, 1721-1729.
18. Fourcaud, N., & Brunel, B. (2002). Dynamics of the firing probability of noisy integrate-and-fire neurons. Neural Comp., 14, 2057-2111.
19. Georgopoulos, A. P., & Lukashin, A. V. (1993). A dynamical neural network model for motor cortical activity during movement: Population coding of movement trajectories. Biol Cybern., 69, 517-524.
20. Gerstner, W. (2000). Population dynamics of spiking neurons: Fast transients, asynchronous states, and locking. Neural Comp., 12, 43-89.
21. Ginzburg, I., & Sompolinsky, H. (1994). Theory of correlations in stochastic neuronal networks. Phys. Rev. E, 50, 3171-3191.
22. Hansel, D., & Sompolinsky, H. (1996). Chaos and synchrony in a model of a hypercolumn in visual cortex. J. Comput. Neurosci., 3, 7-34.
23. Hansel, D., & Sompolinsky, H. (1998). Modeling feature selectivity in local cortical circuits. In C. Koch & I. Segev (Eds.), Methods in neuronal modeling: From synapses to networks (2nd ed., pp. 499-567). Cambridge, MA: MIT Press.
24. Hille, B. (1984). Ionic channels of excitable membranes. Sunderland, MA: Sinauer.
25. Hodgkin, A. L., & Huxley, A. F. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. (Land.), 117, 500-562.
26. Holt, G. R., & Koch, C. (1997). Shunting inhibition does not have a divisive effect on firing rates. Neural Comput., 9, 1001-1013.
27. Hopfield, J. J. (1984). Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. USA, 79, 1554-2558.
28. Kernell, D. (1968). The repetitive impulse discharge of a simple model compared to that of spinal motoneurones. Brain Research, 11, 685-687.
29. Knight, B. W. (1972a). Dynamics of encoding in a population of neurons. J. Gen. Physiol., 59, 734-766.
30. Knight, B. W. (1972b). The relationship between the firing rate of a single neuron and the level of activity in a population of neurons. Experimental evidence for resonant enhancement in the population response. J. Gen. Physiol., 59, 767-778.
31. Press, W. H., Flannery, B. P., Teukolsky, S. A., & Vetterling, W. T. (1988). Numerical recipes in C: The art of scientific computing. Cambridge: Cambridge University Press.
32. Rinzel, J., & Frankel, P. (1992). Activity patterns of a slow synapse network predicted by explicitly averaging spike dynamics. Neural Comp., 4, 534-545.
33. Rolls, E. T., & Treves, A. (1998). Neural networks and brain function. New York: Oxford University Press.
34. Salinas, E., & Abbott, L. F. (1996). A model of multiplicative neural responses in parietal cortex. Proc. Natl. Acad. Sci. USA, 93, 11956-11961.
35. Seung, H. S. (1996). How the brain keeps the eyes still. Proc. Natl. Acad. Sci. USA, 93, 3339-13344.
36. Stafstrom, C. E., Schwindt, P. C., & Crill, W. E. (1984). Repetitive firing in layer V neurons from cat neocortex in vitro. J. Neurophysiol., 52, 264-277.
37. Wilson, H. R., & Cowan, J. (1972). Excitatory and inhibitory interactions in localized populations of model neurons. Biophys. J., 12, 1-24.
38. Zhang, K. (1996). Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: A theory. J. Neurosci., 16, 2112-2126.