Abstract
An analog electronic model is proposed to qualitatively reproduce the main dynamic regimes of inferior-olive (IO) neurons. An analog simulation is used to study the dynamics of a single IO neuron and a pair of neurons involved in inhibitory feedback. The experimental results that demonstrate that such feedback leads to a partial spike synchronization of the interacting neurons are presented. It is shown that the electronic model can be used for the simulation of the burst activity of oscillatory neurons.
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References
S. Binczak, V. B. Kazantsev, V. I. Nekorkin, and J.-M. Bilbault, Electron. Lett. 39, 961 (2003).
A. Wagemakers, M. A. F. Sanjuan, J. M. Casado, and K. Aihara, Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, 3617 (2006).
B. Linares-Barranco, E. Sanchez-Sinencio, A. Rodriguez-Vazquez, and J. L. Huertas, IEEE J. Solid-state Circuits 26, 956 (1991).
T. Kohno and K. Aihara, IEEE Trans. Neural Netw. 16, 754 (2002).
J. D. Sitt and J. Aliaga, Phys. Rev. E 76, 051919 (2007).
F. C. Hoppensteadt and E. M. Izhikevich, Phys. Rev. E 62, 4010 (2000).
S. Grillner, Sci. Am. 274(1), 48 (1996).
O. A. Ekeberg, 69, 363 (1993).
V. B. Kazantsev and V. I. Nekorkin, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineinaya Din. 9(1), 38 (2001).
V. B. Kazantsev, V. I. Nekorkin, V. I. Makarenko, and R. Llinas, Proc. Natl. Acad. Sci. USA 100, 13064 (2003).
S. Le Masson, A. Laflaquiere, and T. Bal, G. Le Masson, IEEE Trans. Biomed. Eng. 46, 638 (1999).
A. Szucs, P. Varona, A. R. Volkovskii, et al., NeuroReport 11, 563 (2000).
G. Zeck and P. Fromherz, Proc. Natl. Acad. Sci. USA. 98, 10457 (2001).
A. Van Schaik, Neuron Netw. 14, 6 (2001).
R. Llinas, I of the Vortex: From Neurons to Self (MIT Press Cambridge, Massachusetts, 2002).
J. P. Welsh, E. J. Lang, I. Suglhara, and R. Llinas, Nature 374, 453 (1995).
M. G. Velarde, V. I. Nekorkin, V. B. Kazantsev, et al., Neuron Netw. 15, 5 (2002).
V. I. Nekorkin and M. G. Velarde, Synergetic Phenomena in Active Lattices (Springer-Verlag, Berlin, 2002).
R. Llinas and Y. Yarom, J. Physiol. (London) 376, 163 (1986).
R. Llinas, R. Baker, and C. Sotelo, J. Neurophysiol. 37, 560 (1974).
E. Leznik, V. I. Makarenko, and R. Llinas, J. Neurosci. 22, 2804 (2002).
V. B. Kazantsev, V. I. Nekorkin, V. I. Makarenko, and R. Llinas, Proc. Natl. Acad. Sci. U.S.A. 101, 18183 (2004).
A. C. Scott, Neuroscience: a Mathematical Premier (Springer-Verlag, Berlin, 2002).
V. I. Nekorkin, A. S. Dmitrichev, D. S. Shchapin, and V. B. Kazantsev, Matem. Modelir. 17(6), 75 (2005).
N. N. Bautin and E. A. Leontovich, Methods and Practices of Qualitative Study of Dynamical Systems on Flatness (Nauka, Moscow, 1976) [in Russian].
J. L. Hindmarsh and R. M. Rose, Proc. R. Soc. London, Ser. B: Biological Sci., 221, 87 (1984).
Additional information
Original Russian Text © D.S. Shchapin, 2009, published in Radiotekhnika i Elektronika, 2009, Vol. 54, No. 2, pp. 185–195.