Abstract
Random pulses contribute to stochastic resonance in neuron models, whereas common random pulses cause stochastic-synchronized excitation in uncoupled neuron models. We studied concurrent phenomena contributing to phase synchronization and stochastic resonance following induction by a weak common random pulse in uncoupled non-identical Hodgkin–Huxley type neuron models. The common random pulse was selected from a gamma distribution and the degree of synchronization depended on the corresponding shape parameter. Specifically, a low shape parameter of the weak random pulse induced well-synchronized spiking in uncoupled neuron models, whereas a high shape parameter of the weak random pulse or a weak periodic pulse caused low degrees of synchronization. These were improved by concurrent inputs of periodic and random pulses with high shape parameters. Finally, the output pulse was synchronized with the periodic pulse, and the common random pulse revealed periodic responses in the present neuron models.
Similar content being viewed by others
References
Abeles M (1991) Corticonics: neural circuits of the cerebral cortex. Cambridge University Press, New York
Bulsara A, Jacobs EW, Zhou T, Moss F, Kiss L (1991) Stochastic resonance in a single neuron model: theory and analog simulation. J Theor Biol 152:531–555
Diesmann M, Gewaltig MO, Aertsen A (1999) Stable propagation of synchronous spiking in cortical neural networks. Nature 402:529–533
Douglass JK, Wilkens L, Pantazelou E, Moss F (1993) Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance. Nature 365:337–340
Esfahani RK, Shahbazi F, Samani KA (2012) Noise-induced synchronization in small world networks of phase oscillators. Phys Rev E 86:036204
Fauve S, Heslot F (1983) Stochastic resonance in a bistable system. Phys Lett A 97:5–7
Galán RF, Fourcaud-Trocmé N, Ermentrout GB, Urban NN (2006) Correlation-induced synchronization of oscillations in olfactory bulb neurons. J Neurosci 26:3646–3655
Goldobin DS, Pikovsky A (2006) Antireliability of noise-driven neurons. Phys Rev E 73:061906
Izhikevich EM (2007) Dynamical systems in neuroscience. The MIT Press, Cambridge
Kim SY, Lim W (2017) Dynamical responses to external stimuli for both cases of excitatory and inhibitory synchronization in a complex neuronal network. Cogn Neurodyn 11:395–413
Kim SY, Lim W (2018) Effect of spike-timing-dependent plasticity on stochastic burst synchronization in a scale-free neuronal network. Cogn Neurodyn 12:315–342
Kitajo K, Nozaki D, Ward LM, Yamamoto Y (2003) Behavioral stochastic resonance within the human brain. Phys Rev Lett 90:218103
Kitajo K, Doesburg SM, Yamanaka K, Nozaki D, Ward LM, Yamamoto Y (2007) Noise-induced large-scale phase synchronization of human-brain activity associated with behavioural stochastic resonance. EPL (Europhys Lett) 80:40009
Levin JE, Miller JP (1996) Broadband neural encoding in the cricket cercal sensory system enhanced by stochastic resonance. Nature 380:165–168
Liu Q, Tian J (2014) Synchronization and stochastic resonance of the small-world neural network based on the CPG. Cogn Neurodyn 8:217–226
Longtin A, Bulsara A, Moss F (1991) Time-interval sequences in bistable systems and the noise-induced transmission of information by sensory neurons. Phys Rev Lett 67:656–659
Longtin A, Bulsara A, Pierson D, Moss F (1994) Bistability and the dynamics of periodically forced sensory neurons. Biol Cybern 70:569–578
Mainen ZF, Sejnowski TJ (1995) Reliability of spike timing in neocortical neurons. Science 268:1503–1506
Mizraji E, Lin J (2017) The feeling of understanding: an exploration with neural models. Cogn Neurodyn 11:135–146
Mochizuki Y, Onaga T, Shimazaki H, Shimokawa T, Tsubo Y, Kimura R, Saiki A, Sakai Y, Isomura Y, Fujisawa S, Shibata K, Hirai D, Furuta T, Kaneko T, Takahashi S, Nakazono T, Ishino S, Sakurai Y, Kitsukawa T, Lee JW, Lee H, Jung MW, Babul C, Maldonado PE, Takahashi K, Arce-McShane FI, Ross CF, Sessle BJ, Hatsopoulos NG, Brochier T, Riehle A, Chorley P, Grün S, Nishijo H, Ichihara-Takeda S, Funahashi S, Shima K, Mushiake H, Yamane Y, Tamura H, Fujita I, Inaba N, Kawano K, Kurkin S, Fukushima K, Kurata K, Taira M, Tsutsui K, Ogawa T, Komatsu H, Koida K, Toyama K, Richmond BJ, Shinomoto S (2016) Similarity in neuronal firing regimes across mammalian species. J Neurosci 36:5736–5747
Moss F, Douglass JK, Wilkens L, Pierson D, Pantazelou E (1993) Stochastic resonance in an electronic FitzHugh–Nagumo model. Ann N Y Acad Sci 706:26–41
Nagai K, Nakao H (2009) Experimental synchronization of circuit oscillations induced by common telegraph noise. Phys Rev E 79:036205
Nagai K, Nakao H, Tsubo Y (2005) Synchrony of neural oscillators induced by random telegraphic currents. Phys Rev E 71:036217
Neiman AB, Russell DF (2002) Synchronization of noise-induced bursts in noncoupled sensory neurons. Phys Rev Lett 88:138103
Qin Y, Han C, Che Y, Zhao J (2018) Vibrational resonance in a randomly connected neural network. Cogn Neurodyn 12:509–518
Schäfer C, Rosenblum MG, Kurths J, Abel H-H (1998) Heartbeat synchronized with ventilation. Nature 392(6673):239–240
Shimozawa T, Murakami J, Kumagai T (2003) Cricket wind receptors: thermal noise for the highest sensitivity known. In: Barth FG, Humphery JAC, Secomb TW (eds) Sensors and sensing in biology and engineering. Springer, Vienna, pp 145–157
Shinomoto S, Kim H, Shimokawa T, Matsuno N, Funahashi S, Shima K, Fujita I, Tamura H, Doi T, Kawano K, Inaba N, Fukushima K, Kurkin S, Kurata K, Taira M, Tsutsui K, Komatsu H, Ogawa T, Koida K, Tanji J, Toyama K (2009) Relating neuronal firing patterns to functional differentiation of cerebral cortex. PLoS Comput Biol 5:e1000433
Stacey WC, Durand DM (2000) Stochastic resonance improves signal detection in hippocampal CA1 neurons. J Neurophysiol 83:1394–1402
Stacey WC, Durand DM (2001) Synaptic noise improves detection of subthreshold signals in hippocampal CA1 neurons. J Neurophysiol 86:1104–1112
Stacey W, Durand D (2002) Noise and coupling affect signal detection and bursting in a simulated physiological neural network. J Neurophysiol 88:2598–2611
Tateno K, Igarashi J, Ohtubo Y, Nakada K, Miki T, Yoshii K (2011) Network model of chemical-sensing system inspired by mouse taste buds. Biol Cybern 105:21–27
Teramae J, Tanaka D (2004) Robustness of the Noise-induced phase synchronization in a general class of limit cycle oscillators. Phys Rev Lett 93:204103
van Rossum MCW, Turrigiano GG, Nelson SB (2002) Fast propagation of firing rates through layered networks of noisy neurons. J Neurosci 22:1956–1966
Ward LM, Doesburg SM, Kitajo K, MacLean SE, Roggeveen AB (2006) Neural synchrony in stochastic resonance, attention, and consciousness. Can J Exp Psychol 60:319–326
Yao Y, Ma J (2018) Weak periodic signal detection by sine-Wiener-noise-induced resonance in the FitzHugh–Nagumo neuron. Cogn Neurodyn 12:343–349
Yoshida M, Hayashi H, Tateno K, Ishizuka S (2002) Stochastic resonance in the hippocampal CA3–CA1 model: a possible memory recall mechanism. Neural Netw 15:1171–1183
Zhao J, Deng B, Qin Y, Men C, Wang J, Wei X, Sun J (2017) Weak electric fields detectability in a noisy neural network. Cogn Neurodyn 11:81–90
Zhou C, Kurths J (2003) Noise-induced synchronization and coherence resonance of a Hodgkin–Huxley model of thermally sensitive neurons. Chaos 13:401–409
Acknowledgements
This work was supported by JSPS KAKENHI Grant No. JP16K05869.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Nakamura, O., Tateno, K. Random pulse induced synchronization and resonance in uncoupled non-identical neuron models. Cogn Neurodyn 13, 303–312 (2019). https://doi.org/10.1007/s11571-018-09518-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11571-018-09518-5