Noise-induced divisive gain control in neuron models

BioSystems

Volumn 67, Issue 1-3, 2002, Pages 147-156

  Longtin, André ^a   Doiron, Brent ^a   Bulsara, Adi R ^b  

^a UNIVERSITY OF OTTAWA   (Canada)

^b Naval Command   (United States)

Author keywords

Gain control; Inhibition; Integrate and fire; Neuron models; Noise; Shunting; Theta neuron

Indexed keywords

NEUROLOGY;

CALCULATION; CONFERENCE PAPER; DYNAMICS; ELECTRIC FISH; ELECTROPHYSIOLOGY; NERVE CELL; NOISE; NORMAL DISTRIBUTION; POISSON DISTRIBUTION; ARTICLE; BIOLOGICAL MODEL; BIOLOGY; METHODOLOGY; PHYSIOLOGY; PYRAMIDAL NERVE CELL; STATISTICS;

ELECTRIC FISH;

COMPUTATIONAL BIOLOGY; MODELS, NEUROLOGICAL; NEURONS; PYRAMIDAL CELLS;

EID: 0036813015     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0303-2647(02)00073-4     Document Type: Conference Paper

References (23)

1. Berman N.J., Maler L. Neural architecture of the electrosensory lateral line lobe: adaptations for coincidence detection, a sensory searchlight and frequency-dependent adaptive filtering. J. Exp. Biol. 202:1999;1243-1253.
2. Brown D., Feng J., Feerick S. Variability of firing of Hodgkin-Huxley and FitzHugh-Nagumo neurons with stochastic synaptic input. Phys. Rev. Lett. 82:1999;4731-4734.
3. Bulsara A.R., Elston T.C., Doering C.R., Lowen S.B., Lindenberg K. Cooperative behavior in periodically driven noisy integrate-and-fire models of neuronal dynamics. Phys. Rev. E. 53:1996;3958-3969.
4. Carandini M., Heeger D. Summation and division by neurons in primate visual cortex. Science. 264:1994;1333-1336.
5. Chance F.S., Abbott L.F., Reyes A.D. Gain modulation from background synaptic input. Neuron. 35:2002;773-782.
6. Chialvo D.R., Longtin A., Muller-Gerkin J. Stochastic resonance in neuronal ensembles. Phys. Rev. E. 55:1997;1798-1808.
7. Doiron B., Longtin A., Berman N.J., Maler L. Subtractive and divisive inhibition: effect of voltage-dependent inhibitory conductances and noise. Neural Comput. 13:2001a;227-248.
8. Doiron B., Longtin A., Turner R.W., Maler L. Model of gamma frequency burst discharge generated by conditional backpropagation. J. Neurophysiol. 86:2001b;1523-1545.
9. Ermentrout G.B. Type I membranes, phase resetting curves, and synchrony. Neural Comput. 8:1996;979-1001.
10. Holt G., Koch C. Shunting inhibition does not have a divisive effect on firing rates. Neural Comput. 9:1997;1001-1013.
11. Koch C. Biophysics of Computation, Information Processing in Single Neurons. 1999;Oxford University Press, Oxford.
12. Lánská V., Lánský P., Smith C.E. Synaptic transmission in a diffusion model for neural activity. J. Theor. Biol. 166:1994;393-406.
13. Lánský P., Lánská V. Diffusion approximation of the neuronal model with synaptic reversal potentials. Biol. Cybern. 56:1987;19-26.
14. Lánský P., Sato S. The stochastic diffusion models of nerve membrane depolarizations and interspike interval generation. J. Periph. Nerv. Syst. 4:1999;27-42.
15. Lánský P., Sacerdote L. The Ornstein-Uhlenbeck neuronal model with signal-dependent noise. Phys. Lett. A. 285:2001;132-140.
16. Lindner B., Schimansky-Geier L. Transmission of noise coded versus additive signals through a neuronal ensemble. Phys. Rev. Lett. 86:2001;2934-2937.
17. Longtin A. Adiabatic and non-adiabatic resonances in excitable systems. Stochastic Processes in Physics, Chemistry, and Biology, Lecture Notes in Physics. 557:2000;172-181 Springer, Berlin.
18. Nelson M.E. A mechanism for neuronal gain control by descending pathways. Neural Comput. 6:1994;255-269.
19. Ricciardi L. Diffusion Processes and Related Topics in Biology. 1977;Springer, Berlin.
20. Salinas E., Thier P. Gain modulation: a major computational principle of the central nervous system. Neuron. 27:2000;15-21.
21. Silberberg, G., Bethge, M., Markram, H., Tsodyks, M., Pawelzik, K., 2002. Rapid Signaling by Variance in Ensembles of Neocortical Neurons, in preparation.
22. Tuckwell H.C. Stochastic Processes in the Neurosciences. CBMS-NSF Regional Conference Series in Applied Mathematics. 56:1989;Society for Industrial and Applied Mathematics, Philadelphia.
23. Yu X., Lewis E.R. Studies with spike initiators: linearization by noise allows continuous signal modulation in neural networks. IEEE Trans. Biomed. Eng. 36:1989;36-43.