Abstract
Stochastic resonance has been revealed as an important cue for understanding the performance of biological systems in detecting external weak signal. Here we show that the noise originated from signal phase may also induce stochastic resonance in an excitable neuronal system. We find that the neuronal system is better at detecting a subthreshold signal when the signal phase is not constant but time-varying like noise. Further, we find that an intermediate intensity of phase noise may help the neuronal system to obtain a optimal detection, forming an resonance-like phenomenon. Finally, a brief theory is formulated to explain the mechanism behind the resonance behavior.
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References
Gammaitoni, L., Hänggi, P., Jung, P., Marchesoni, F.: Stochastic Resoance. Rev. Mod. Phys. 70, 223–287 (1998)
Lindner, B., Garcia-Ojalvo, J., Neiman, A., Schimansky-Geier, L.: Effects of Noise in Excitable Systems. Phys. Rep. 392, 321–424 (2004)
Douglass, J.K., Wilkens, L., Pantazelou, E., Moss, F.: Noise Enhancement of Information Transfer in Crayfish Mechanoreceptors by Stochastic Resonance. Nature (London) 365, 337–340 (1993)
Collins, J.J., Chow, C.C., Imhoff, T.T.: Aperiodic Stochastic Resonance in Excitable Systems. Phys. Rev. E 52, R3321–R3324 (1995)
Park, K., Lai, Y., Liu, Z., Nachman, A.: Aperiodic Stochastic Resonance and Phase Synchronization. Phys. Lett. A 326, 391–396 (2004)
Liu, Z., Lai, Y., Nachman, A.: Enhancemnet of Detectability of Noisy Signals by Stochastic Resonance in Arrays. Int. J. Bifurcation and Chaos 14, 1655–1670 (2004)
Lai, Y., Liu, Z., Nachman, A., Zhu, L.: Suppression of Jamming in Excitable Systems by Aperiodic Stochastic Resonance. Int. J. Bifurcation and Chaos 14, 3519–3539 (2004)
Tessone, C.J., Mirasso, C.R., Toral, R., Gunton, J.D.: Diversity-Induced Resonance. Phys. Rev. Lett. 97, 194101 (2006)
Liang, X., Dhamala, M., Zhao, L., Liu, Z.: Phase-Disorder-Induced Double Resonance of Neuronal Activity. Phys. Rev. E 82, 010902(R) (2010)
Konishi, M.: Listening with Two Ears. Sci. Am. 16, 28–35 (2006)
Chapeau-Blondeau, F.: Stochastic Resonance at Phase Noise in Signal Transmission. Phys. Rev. E 61, 940 (2000)
Mason, A.C., Oshinsky, M.L., Hoy, R.R.: Hyperacute Directional Hearing in a Microscale Auditory System. Nature (London) 410, 686–690 (2001)
Lytton, W.W.: Simulations of a Phase Comparing Neuron of the Electric Fish Eigenmannia. J. Comp. Physiol. A 169, 117–125 (1991)
Matsushita, A., Kawasaki, M.: Neuronal Sensitivity to Microsecond Time Disparities in the Electrosensory System of Gymnarchus niloticus. J. Neurosci. 25, 11424–11432 (2005)
Pitcher, T.J., Parrish, J.K.: In: Pitcher, T.J. (ed.) Behaviour of Telost Fishes, ch. 7, pp. 201–246. Chapman and Hall, London (1993)
Liang, X., Tang, M., Dhamala, M., Liu, Z.: Phase Synchronization of Inhibitory Bursting Neurons Induced by Distributed Time Delays in Chemical Coupling. Phys. Rev. E 80, 066202 (2009)
Kumar, A., Rotter, S., Aertsen, A.: Spiking Activity Propagation in Neuronal Networks: Reconciling Different Perspectives on Neural Coding. Nat. Rev. Neurosci. 11, 615–627 (2010)
Zaikin, A.A., García-Ojalvo, J., Schimansky-Geier, L., Kurths, J.: Noise Induced Propagation in Monostable Media. Phys. Rev. Lett. 88, 010601 (2001)
Zhang, Y., Hu, G., Gammaitoni, L.: Signal Transmission in One-Way Coupled Bistable Systems: Noise Effect. Phys. Rev. E 58, 2952–2956 (1998)
Pikovsky, A.S., Kurths, J.: Coherence Resonance in a Noise-Driven Excitable System. Phys. Rev. Lett. 78, 775–778 (1997)
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Liang, X., Zhao, L. (2012). Stochastic Resonance in Excitable Neuronal System with Phase-Noise. In: Zhang, H., Hussain, A., Liu, D., Wang, Z. (eds) Advances in Brain Inspired Cognitive Systems. BICS 2012. Lecture Notes in Computer Science(), vol 7366. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31561-9_34
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DOI: https://doi.org/10.1007/978-3-642-31561-9_34
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