Similar articles

Abstract: inverse stochastic resonance (ISR) is a phenomenon in which the firing activity of a neuron is inhibited at a certain noise level. In this paper, the effects of potassium channel blockage on ISR in single Hodgkin-Huxley neurons and in small-world networks were investigated. For the single neuron, the ion channel noise-induced ISR phenomenon can occur only in a certain small range of potassium channel blockage ratio. Bifurcation analysis showed that this small range is the bistable region regulated by the external bias current. For small-world networks, the effect of non-homogeneous network blockage on ISR was investigated. The network blockage ratio was used to represent the proportion of potassium-channel-blocked neurons to total network neurons. It is found that an increase in network blockage ratio at small coupling strengths results in shorter ISR duration. When the coupling strength is increased, the ISR is more significant in the case of a large network blockage ratio. The ISR phenomenon is determined by the network blockage ratio, the coupling strength, and the ion channel noise. Our results will provide new perspectives on the observation of ISR in neuroscience experiments.

钾离子通道阻塞对Hodgkin-Huxley神经系统中反随机共振的影响

[1]BuchinA, RieublandS, HäusserM, et al., 2016. Inverse stochastic resonance in cerebellar Purkinje cells. PLoS Computational Biology, 12(8):e1005000.

[2]ChikDTW, WangYQ, WangZD, 2001. Stochastic resonance in a Hodgkin-Huxley neuron in the absence of external noise. Physical Review E, 64(2):021913.

[3]DingQM, JiaY, 2021. Effects of temperature and ion channel blocks on propagation of action potential in myelinated axons. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(5):053102.

[4]DipoppaM, GutkinBS, 2013. Flexible frequency control of cortical oscillations enables computations required for working memory. Proceedings of the National Academy of Sciences of the United States of America, 110(31):12828-12833.

[5]FaisalAA, SelenLPJ, WolpertDM, 2008. Noise in the nervous system. Nature Reviews Neuroscience, 9(4):292-303.

[6]FoxRF, 1997. Stochastic versions of the Hodgkin-Huxley equations. Biophysical Journal, 72(5):2068-2074.

[7]GaileyPC, NeimanA, CollinsJJ, et al., 1997. Stochastic resonance in ensembles of nondynamical elements: the role of internal noise. Physical Review Letters, 79(23):4701-4704.

[8]GluckmanBJ, NetoffTI, NeelEJ, et al., 1996. Stochastic resonance in a neuronal network from mammalian brain. Physical Review Letters, 77(19):4098-4101.

[9]GoldwynJH, ImennovNS, FamulareM, et al., 2011. Stochastic differential equation models for ion channel noise in Hodgkin‍‒‍Huxley neurons. Physical Review E, 83(4):041908.

[10]GutkinBS, JostJ, TuckwellHC, 2009. Inhibition of rhythmic neural spiking by noise: the occurrence of a minimum in activity with increasing noise. Naturwissenschaften, 96(9):1091-1097.

[11]HeissJE, KatzY, GanmorE, et al., 2008. Shift in the balance between excitation and inhibition during sensory adaptation of S1 neurons. Journal of Neuroscience, 28(49):13320-13330.

[12]HodgkinAL, HuxleyAF, 1952a. The dual effect of membrane potential on sodium conductance in the giant axon of Loligo. The Journal of Physiology, 116(4):497-506.

[13]HodgkinAL, HuxleyAF, 1952b. A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of Physiology, 117(4):500-544.

[14]HoytRC, StriebJD, 1971. A stored charge model for the sodium channel. Biophysical Journal, 11(11):868-885.

[15]HuhJH, 2016. Inverse stochastic resonance in electroconvection by multiplicative colored noise. Physical Review E, 94(5):052702.

[16]JinWY, WangA, MaJ, et al., 2019. Effects of electromagnetic induction and noise on the regulation of sleep wake cycle. Science China Technological Sciences, 62(12):2113-2119.

[17]KawaguchiM, MinoH, DurandDM, 2011. Stochastic resonance can enhance information transmission in neural networks. IEEE Transactions on Biomedical Engineering, 58(7):1950-1958.

[18]KoskoB, MitaimS, 2003. Stochastic resonance in noisy threshold neurons. Neural Networks, 16(5-6):755-761.

[19]LiDX, CuiXW, YangYC, 2018. Inverse stochastic resonance induced by non-Gaussian colored noise. Neurocomputing, 287:52-57.

[20]LiDX, SongSL, ZhangN, 2020. Lévy noise-induced inverse stochastic resonance on Newman‍–‍Watts networks of Hodgkin–Huxley neurons. International Journal of Modern Physics B, 34(19):2050185.

[21]LiuSB, WuY, LiJJ, et al., 2013. The dynamic behavior of spiral waves in stochastic Hodgkin–Huxley neuronal networks with ion channel blocks. Nonlinear Dynamics, 73(1-2):1055-1063.

[22]LiuY, LiCG, 2013. Stochastic resonance in feedforward-loop neuronal network motifs in astrocyte field. Journal of Theoretical Biology, 335:265-275.

[23]LiuY, MaJ, XuY, et al., 2019. Electrical mode transition of hybrid neuronal model induced by external stimulus and electromagnetic induction. International Journal of Bifurcation and Chaos, 29(11):1950156.

[24]LuLL, JiaY, LiuWH, et al., 2017. Mixed stimulus-induced mode selection in neural activity driven by high and low frequency current under electromagnetic radiation. Complexity, 2017:7628537.

[25]LuLL, JiaY, GeMY, et al., 2020. Inverse stochastic resonance in Hodgkin–Huxley neural system driven by Gaussian and non-Gaussian colored noises. Nonlinear Dynamics, 100(1):877-889.

[26]MaJ, 2023. Biophysical neurons, energy, and synapse controllability: a review. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 24(2):109-129.

[27]MaJ, WuY, YingHP, et al., 2011. Channel noise-induced phase transition of spiral wave in networks of Hodgkin-Huxley neurons. Chinese Science Bulletin, 56(2):151-157.

[28]MaJ, YangZQ, YangLJ, et al., 2019. A physical view of computational neurodynamics. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 20(9):639-659.

[29]MaiselB, LindenbergK, 2020. Channel noise effects on neural synchronization. Physica A: Statistical Mechanics and Its Applications, 552:123186.

[30]McDonnellMD, AbbottD, 2009. What is stochastic resonance? Definitions, misconceptions, debates, and its relevance to biology. PLoS Computational Biology, 5(5):e1000348.

[31]NarahashiT, MooreJW, 1968. Neuroactive agents and nerve membrane conductances. Journal of General Physiology, 51(5):93-101.

[32]PaydarfarD, ForgerDB, ClayJR, 2006. Noisy inputs and the induction of on–off switching behavior in a neuronal pacemaker. Journal of Neurophysiology, 96(6):3338-3348.

[33]PercM, 2007. Stochastic resonance on excitable small-world networks via a pacemaker. Physical Review E, 76(6):066203.

[34]SchmerlBA, McDonnellMD, 2013. Channel-noise-induced stochastic facilitation in an auditory brainstem neuron model. Physical Review E, 88(5):052722.

[35]SchmidG, GoychukI, HänggiP, 2004. Effect of channel block on the spiking activity of excitable membranes in a stochastic Hodgkin–Huxley model. Physical Biology, 1(2):61-66.

[36]ShuYS, HasenstaubA, McCormickDA, 2003. Turning on and off recurrent balanced cortical activity. Nature, 423(6937):288-293.

[37]TuckwellHC, JostJ, GutkinBS, 2009. Inhibition and modulation of rhythmic neuronal spiking by noise. Physical Review E, 80(3):031907.

[38]UzunR, YilmazE, OzerM, 2017. Effects of autapse and ion channel block on the collective firing activity of Newman–Watts small-world neuronal networks. Physica A: Statistical Mechanics and Its Applications, 486:386-396.

[39]UzuntarlaM, 2013. Inverse stochastic resonance induced by synaptic background activity with unreliable synapses. Physics Letters A, 377(38):2585-2589.

[40]UzuntarlaM, CressmanJR, OzerM, et al., 2013. Dynamical structure underlying inverse stochastic resonance and its implications. Physical Review E, 88(4):042712.

[41]UzuntarlaM, TorresJJ, SoP, et al., 2017a. Double inverse stochastic resonance with dynamic synapses. Physical Review E, 95(1):012404.

[42]UzuntarlaM, BarretoE, TorresJJ, 2017b. Inverse stochastic resonance in networks of spiking neurons. PLoS Computational Biology, 13(7):e1005646.

[43]WangGW, WuY, XiaoFL, et al., 2022. Non-Gaussian noise and autapse-induced inverse stochastic resonance in bistable Izhikevich neural system under electromagnetic induction. Physica A: Statistical Mechanics and Its Applications, 598:127274.

[44]WangQY, PercM, DuanZS, et al., 2009. Delay-induced multiple stochastic resonances on scale-free neuronal networks. Chaos: An Interdisciplinary Journal of Nonlinear Science, 19(2):023112.

[45]WattsDJ, StrogatzSH, 1998. Collective dynamics of ‘small-world’ networks. Nature, 393(6684):440-442.

[46]WhiteJA, RubinsteinJT, KayAR, 2000. Channel noise in neurons. Trends in Neurosciences, 23(3):131-137.

[47]WuFQ, MaJ, RenGD, 2018. Synchronization stability between initial-dependent oscillators with periodical and chaotic oscillation. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 19(12):889-903.

[48]WuXY, MaJ, LiF, et al., 2013a. Development of spiral wave in a regular network of excitatory neurons due to stochastic poisoning of ion channels. Communications in Nonlinear Science and Numerical Simulation, 18(12):3350-3364.

[49]WuXY, MaJ, XieZB, 2013b. Effect of inhomogeneous distribution of ion channels on collective electric activities of neurons in a ring network. Acta Physica Sinica, 62(24):240507 (in Chinese).

[50]XuY, JiaY, GeMY, et al., 2018. Effects of ion channel blocks on electrical activity of stochastic Hodgkin–Huxley neural network under electromagnetic induction. Neurocomputing, 283:196-204.

[51]XuY, JiaY, WangHW, et al., 2019. Spiking activities in chain neural network driven by channel noise with field coupling. Nonlinear Dynamics, 95(4):3237-3247.

[52]YuD, LuLL, WangGW, et al., 2021. Synchronization mode transition induced by bounded noise in multiple time-delays coupled FitzHugh–Nagumo model. Chaos, Solitons & Fractals, 147:111000.

[53]YuD, WangGW, DingQM, et al., 2022a. Effects of bounded noise and time delay on signal transmission in excitable neural networks. Chaos, Solitons & Fractals, 157:111929.

[54]YuD, ZhouXY, WangGW, et al., 2022b. Effects of chaotic activity and time delay on signal transmission in FitzHugh-Nagumo neuronal system. Cognitive Neurodynamics, 16(4):887-897.

[55]YuD, WuY, YeZQ, et al., 2022c. Inverse chaotic resonance in Hodgkin–Huxley neuronal system. The European Physical Journal Special Topics, 231(22-23):4097-4107.

[56]YuD, WuY, YangLJ, et al., 2023a. Effect of topology on delay-induced multiple resonances in locally driven systems. Physica A: Statistical Mechanics and Its Applications, 609:128330.

[57]YuD, WangGW, LiTY, et al., 2023b. Filtering properties of Hodgkin-Huxley neuron on different time-scale signals. Communications in Nonlinear Science and Numerical Simulation, 117:106894.

[58]ZhangXF, MaJ, 2021. Wave filtering and firing modes in a light-sensitive neural circuit. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 22(9):707-720.

[59]ZhaoY, LiDX, 2019. Levy noise-induced inverse stochastic resonance in a single neuron. Modern Physics Letters B, 33(21):1950252.

[60]ZhouXY, XuY, WangGW, et al., 2020. Ionic channel blockage in stochastic Hodgkin–Huxley neuronal model driven by multiple oscillatory signals. Cognitive Neurodynamics, 14(4):569-578.