×

Synaptic coupling between two electronic neurons. (English) Zbl 1101.78322

Summary: An electrical circuit is proposed to realize an unidirectional coupling between two cells, mimicking chemical synaptic coupling. Each cell represents the FitzHugh-Nagumo (FHN) model of neuron with a modified exitability (MFHN). We present experimental results on frequency doublings and on the chaotic dynamics depending on the coupling strength in a master-slave configuration. In all experiments, we stress the influence of the coupling strength on the control of the slave neuron.

MSC:

78A55 Technical applications of optics and electromagnetic theory
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
92B20 Neural networks for/in biological studies, artificial life and related topics
92C20 Neural biology
PDFBibTeX XMLCite
Full Text: DOI Link

References:

[1] Nagumo, J., Arimoto, S., and Yoshizawa, S., ”An active impulse transmission line simulating nerve axon”, Proceedings of IRE 50, 1962, 2061–2070. · doi:10.1109/JRPROC.1962.288235
[2] Scott, A. C., Neuroscience: A Mathematical Primer, Springer-Verlag, New York, 2002. Vol. no. 50, pp. 2061–2070 · Zbl 1018.92003
[3] Binczak, S., Kazantsev, V. B., Nekorkin, V. I., Bilbault, J. M., ”Experimental study of bifurcations in modified FitzHugh–Nagumo cell”, Electronic Letter 39, 2003, 961–962. · doi:10.1049/el:20030657
[4] Dawson, S. P., D’Angelo, M. V., and Pearson, J. E., ”Towards a global classification of excitable reaction-diffusion systems”, Physics Letter A 265, 2000, 346–352. · doi:10.1016/S0375-9601(00)00008-6
[5] Kazantsev, V. B., Nekorkin, V. I., Binczak, S., and Bilbault, J. M., ”Spiking patterns emerging from wave instabilities in a one-dimensional neural lattice”, Physical Review E 68, 2003, 017201, 1–4.
[6] Rinzel, J. and Ermentrout, B. B., ”Analysis of neural excitability and oscillations”, in Methods in Neuronal Modeling, C. Koch and I. Segev (eds.), 2nd edn., MIT press, Cambridge, MA, 1998, pp. 251–292.
[7] Koch, C., Biophysics of Computation: Information Processing in Single Neurons, Oxford University Press, Oxford, 1998.
[8] Ott, E., Grebogi, C., and Yorke, J. A., Physical Review Letters 64, 1990, 1196–1199. · Zbl 0964.37501 · doi:10.1103/PhysRevLett.64.1196
[9] Nayfeh, A. H. and Balachandran, B., Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods, Wiley-Interscience, New York, 1995. Vol. no. 50, pp. 2061–2070 · Zbl 0848.34001
[10] Kazantsev, V. B., ”Selective communication and information processing by excitable systems”, Physical Review E 64, 2001, 056210. · doi:10.1103/PhysRevE.64.056210
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.