Abstract
Subthreshold oscillations actively participate in information coding and processing of living neural systems. In this paper we present a new model of stochastic neural networks in which the neurons display subthreshold oscillations and spiking activity. The network is built with diffusive coupling among close neighbors. We show that these stochastic networks are able to generate a wide variety of coherent spatio-temporal patterns. Emerging phenomena in this networks can be of great interest in applications related to the coding and control of rhythms.
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References
Braun H.A., Wissing H., Schäfer k. and Hirsch, M.C. 1994. Oscillation and noise determine signal transduction in shark multimodal sensory cells. Nature 367, 270–273.
De Zeeuw C.I., Simpson J.I, Hoogenaraad C.C., Galjart N., Koekkoek S.K.E., and Ruigrok T.J.H. 1998. Microcircuitry and function of the inferior olive. Trends Neurosci 21: 391–400.
Leznik E., Makarenko V. and Llinas R. 2002. Electrotonically Mediated Oscillatory Patterns in Neuronal Ensembles: An In Vitro Voltage-Dependent Dye-Imaging Study in the Inferior Olive. Journal of Neurocience 22(7):2804–2815.
P. Varona, J.J. Torres, H.D.I. Abarbanel, V.I. Makarenko R. Llinás and M.I. Rabinovich. 1999. Modeling collective oscillations in the inferior olive. Soc. for Neurosci. Abs. 25, (368.8).
Llinás R. and Welsh J.P. 1993. On the cerebellum and motor learning. Curr. Opin. Neurobiol. 3, 958.
Welsh J.P., Lang E.J., Sugihara I., Llinás R. 1995. Dynamic organization of motor control within the olivocerebellar system. Nature. 374, 453–456.
Ito M. 1982. Cerebellar control of the vestibulo-ocular reex-around the occulus hypothesis. Annual Review of Neuroscience 5: 275–96.
Varona P., Aguirre C., Torres J.J., Rabinovich M.I., Abarbanel H.D.I.. 2002. Spatiotemporal patterns of network activity in the inferior olive. Neurocomputing 44–46: 685–690.
Schweighofer N., Doya K., Kawato M.. 1999. Electrophysiological properties of inferior olive neurons: A compartmental model. J. Neurophysiol. 82(2): 804–817.
Gerstein G.L. and Mandelbrot B. 1964. Random Walk Models for the Spike Activity of Single Neuron. Biophys. J. 4, 41–68.
Rodríguez F.B., Suárez A. and López V. 2001 Period Focusing Induced By Network Feedback in Populations of Noisy Integrate-and-Fire Neurons. Neural Computation 13, 2495–2516.
Usher M., Stemmler M. 1995. Dynamic Pattern Formation Leads to 1/f Noise in Neural Populations. Physical Review Letters, 74(2): 326–329.
Fohlmeister, C, Gerstner W, Ritz, R. van Hemmen J.L. 1995. Spontaneous Excitations in the Visual Cortex: Stripes, Spirals, Rings, and Collective Bursts. Neural Computation 7, 905–914.
Lin J.K., Pawelzik K., Ernst U., and Sejnowski T.J. 1998. Irregular synchronous activity in stochastically-coupled networks of integrate-and-fire neurons. Network 9(3), 333–344.
Rabinovich M.I, Torres J.J., Varona P., Huerta R., Weidman P. 1999. Origin of Coherent Structures in a Discrete Chaotic Medium. Physical Review E, 60(2), R1130–R1133.
Rabinovich M., Ezersky A.B., Weidman P., The Dynamics of Patterns. World Scientific, Singapore, 2000.
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© 2003 Springer-Verlag Berlin Heidelberg
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Castellanos, N.P., Rodríguez, F.B., Varona, P. (2003). Stochastic Networks with Subthreshold Oscillations and Spiking Activity. In: Mira, J., Álvarez, J.R. (eds) Computational Methods in Neural Modeling. IWANN 2003. Lecture Notes in Computer Science, vol 2686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44868-3_5
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DOI: https://doi.org/10.1007/3-540-44868-3_5
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