Abstract
Inspired by the photoelectric effect, a phototube is incorporated into a simple neural circuit, and then the output voltage and dynamics become sensitive to external illumination within a specific frequency band. The firing modes are also dependent on the amplitude and frequency band in the illumination. In this paper, the signal outputs from a chaotic circuit are used as external optical signals, which are filtered and encoded by a phototube. Then, the functional neural circuit is excited to present a variety of firing modes and patterns. An exponential function of the filtering wave is proposed to discover the biophysical mechanism for frequency selection in the retina as most of wave bands of the external illumination are absorbed in the cathode material of the phototube while a specific band is effective in inducing a photocurrent for stimulating the visual neurons. Based on our light-sensitive neural circuit and model, external illumination is filtered and firing modes in the neuron are reproduced; furthermore, the mode transition induced by parameter shift is also investigated in detail. This result discovers the signal processing mechanism in the visual neurons and provides helpful guidance for designing artificial sensors for encoding optical signals and for repairing abnormalities in the retina of the visual system.
摘要
目 的
研究视觉神经元对光信号识别和响应的物理学机制, 以及其控制策略.
创新点
1. 以光敏神经元电路为例, 设计了基于 Heaviside 函数的滤波标准, 并对多频段信号源进行滤波, 揭示了光敏神经元对光信号选频的机制; 2. 该方法也可以适用于揭示听觉系统选频机制.
方 法
1. 把光电管连接到一类简单的电阻-电感-电容 (RLC) 神经元电路中, 光电管中激发的电流会驱动神经元电路来产生各种模态; 2. 以混沌电路输出作为外界宽频信号源, 设计一类滤波函数标准对宽频信号进行选频.
结 论
1. 选频过程类似于视觉神经元对外界光照频段的选择, 设计不同的选频阈值可以控制滤波信号的频段和幅度, 进而影响神经元的放电模态和斑图, 即神经元对外界光照要么不响应, 要么产生恰当的放电模态; 2. 选频标准的核心在于滤波函数的上限和下限阈值; 从实验角度可以在光电管阴极镀膜或者在光电管窗口多次镀膜来对入射光进行过滤或者增强投射; 在设定阈值频率之外的光照则被光电管的镀层材料吸收, 达到滤波的目的.
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References
Achour SB, Pascual O, 2012. Astrocyte-neuron communication: functional consequences. Neurochemical Research, 37(11):2464–2473. https://doi.org/10.1007/s11064-012-0807-0
Babacan Y, Yesil A, Kacar F, 2017. Memristor emulator with tunable characteristic and its experimental results. AEU-International Journal of Electronics and Communications, 81:99–104. https://doi.org/10.1016/j.aeue.2017.07.012
Bao BC, Zhu YX, Ma J, et al., 2021. Memristive neuron model with an adapting synapse and its hardware experiments. Science China Technological Sciences, 64(5): 1107–1117. https://doi.org/10.1007/s11431-020-1730-0
Bao H, Chen M, Wu HG, et al., 2020. Memristor initial-boosted coexisting plane bifurcations and its extreme multi-stability reconstitution in two-memristor-based dynamical system. Science China Technological Sciences, 63(4):603–613. https://doi.org/10.1007/s11431-019-1450-6
Baysal V, Erkan E, Yilmaz E, 2021. Impacts of autapse on chaotic resonance in single neurons and small-world neuronal networks. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2198):20200237. https://doi.org/10.1098/rsta.2020.0237
Brazhe AR, Postnov DE, Sosnovtseva O, 2018. Astrocyte calcium signaling: interplay between structural and dynamical patterns. Chaos, 28(10):106320. https://doi.org/10.1063/1.5037153
Chen M, Qi JW, Wu HG, et al., 2020. Bifurcation analyses and hardware experiments for bursting dynamics in non-autonomous memristive FitzHugh-Nagumo circuit. Science China Technological Sciences, 63(6):1035–1044. https://doi.org/10.1007/s11431-019-1458-5
Dipoppa M, Ranson A, Krumin M, et al., 2018. Vision and locomotion shape the interactions between neuron types in mouse visual cortex. Neuron, 98(3):602–615. https://doi.org/10.1016/j.neuron.2018.03.037
Du MM, Li JJ, Yuan ZX, et al., 2020. Astrocyte and ions metabolism during epileptogenesis: a review for modeling studies. Chinese Physics B, 29(3):038701. https://doi.org/10.1088/1674-1056/ab6961
Duan KR, Fong S, Chen CLP, 2020. Multilayer neural networks-based control of underwater vehicles with uncertain dynamics and disturbances. Nonlinear Dynamics, 100(4):3555–3573. https://doi.org/10.1007/s11071-020-05720-5
Erkan Y, Saraç Z, Yilmaz E, 2019. Effects of astrocyte on weak signal detection performance of Hodgkin-Huxley neuron. Nonlinear Dynamics, 95(4):3411–3421. https://doi.org/10.1007/s11071-019-04764-6
Fitch AL, Yu DS, Iu HHC, et al., 2012. Hyperchaos in a memristor-based modified canonical Chua’s circuit. International Journal of Bifurcation and Chaos, 22(6): 1250133. https://doi.org/10.1142/S0218127412501337
Furtak SC, Ahmed OJ, Burwell RD, 2012. Single neuron activity and theta modulation in postrhinal cortex during visual object discrimination. Neuron, 76(5):976–988. https://doi.org/10.1016/j.neuron.2012.10.039
Gabbiani F, Krapp HG, Koch C, et al., 2002. Multiplicative computation in a visual neuron sensitive to looming. Nature, 420(6913):320–324. https://doi.org/10.1038/nature01190
Ge MY, Jia Y, Xu Y, et al., 2019. Wave propagation and synchronization induced by chemical autapse in chain Hindmarsh-Rose neural network. Applied Mathematics and Computation, 352:136–145. https://doi.org/10.1016/j.amc.2019.01.059
Guo SL, Tang J, Ma J, et al., 2017. Autaptic modulation of electrical activity in a network of neuron-coupled astrocyte. Complexity, 2017:4631602. https://doi.org/10.1155/2017/4631602
Guo YT, Zhou P, Yao Z, et al., 2021. Biophysical mechanism of signal encoding in an auditory neuron. Nonlinear Dynamics, 1–12. https://doi.org/10.1007/s11071-021-06770-z
Heil P, 2004. First-spike latency of auditory neurons revisited. Current Opinion in Neurobiology, 14(4):461–467. https://doi.org/10.1016/j.conb.2004.07.002
Ibrahim O, Hassan SM, Abdulkarim A, et al., 2019. Design of wheatstone bridge based thermistor signal conditioning circuit for temperature measurement. Journal of Engineering Science and Technology Review, 12(1):12–17. https://doi.org/10.25103/jestr.121.02
Jiao TC, Zong GD, Ahn CK, 2020. Noise-to-state practical stability and stabilization of random neural networks. Nonlinear Dynamics, 100(3):2469–2481. https://doi.org/10.1007/s11071-020-05628-0
Jin WY, Wang A, Ma J, et al., 2019. Effects of electromagnetic induction and noise on the regulation of sleep wake cycle. Science China Technological Sciences, 62(12): 2113–2119. https://doi.org/10.1007/s11431-018-9423-x
Juzekaeva E, Nasretdinov A, Battistoni S, et al., 2019. Coupling cortical neurons through electronic memristive synapse. Advanced Materials Technologies, 4(1):1800350. https://doi.org/10.1002/admt.201800350
Koudafokê GN, Hinvi LA, Miwadinou CH, et al., 2021. Passive sensor with Josephson junction coupled to an electric resonator and a nanobeam. Sensors and Actuators A: Physical, 318:112509. https://doi.org/10.1016/j.sna.2020.112509
Koundakjian EJ, Appler JL, Goodrich LV, 2007. Auditory neurons make stereotyped wiring decisions before maturation of their targets. Journal of Neuroscience, 27(51): 14078–14088. https://doi.org/10.1523/JNEUROSCI.3765-07.2007
Kyprianidis IM, Papachristou V, Stouboulos IN, et al., 2012. Dynamics of coupled chaotic Bonhoeffer-van der Pol oscillators. WSEAS Transactions on Systems, 11(9):516–526.
Lee SJ, Kenyon C, 2009. Regulation of the longevity response to temperature by thermosensory neurons in Caenorhabditis elegans. Current Biology, 19(9):715–722. https://doi.org/10.1016/j.cub.2009.03.041
Li JJ, Wang R, Du MM, et al., 2016. Dynamic transition on the seizure-like neuronal activity by astrocytic calcium channel block. Chaos, Solitons & Fractals, 91:702–708. https://doi.org/10.1016/j.chaos.2016.08.009
Li YY, Gu HG, Jia B, et al., 2021. The nonlinear mechanism for the same responses of neuronal bursting to opposite self-feedback modulations of autapse. Science China Technological Sciences, 64(7):1459–1471. https://doi.org/10.1007/s11431-020-1753-y
Liu Y, Xu WJ, Ma J, et al., 2020a. A new photosensitive neuron model and its dynamics. Frontiers of Information Technology & Electronic Engineering, 21(9):1387–1396. https://doi.org/10.1631/FITEE.1900606
Liu Y, Xu Y, Ma J, 2020b. Synchronization and spatial patterns in a light-dependent neural network. Communications in Nonlinear Science and Numerical Simulation, 89:105297. https://doi.org/10.1016/j.cnsns.2020.105297
Lukić J, Denić D, 2015. A novel design of an NTC thermistor linearization circuit. Metrology and Measurement Systems, 22(3):351–362. https://doi.org/10.1515/mms-2015-0035
Lv M, Ma J, Yao YG, et al., 2019. Synchronization and wave propagation in neuronal network under field coupling. Science China Technological Sciences, 62(3):448–457. https://doi.org/10.1007/s11431-018-9268-2
Ma J, Qin HX, Song XL, et al., 2015. Pattern selection in neuronal network driven by electric autapses with diversity in time delays. International Journal of Modern Physics B, 29(1):1450239. https://doi.org/10.1142/S0217979214502397
Ma J, Yang ZQ, Yang LJ, et al., 2019. A physical view of computational neurodynamics. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 20(9):639–659. https://doi.org/10.1631/jzus.A1900273
Machens CK, Schütze H, Franz A, et al., 2003. Single auditory neurons rapidly discriminate conspecific communication signals. Nature Neuroscience, 6(4):341–342. https://doi.org/10.1038/nn1036
MacVicar BA, Newman EA, 2015. Astrocyte regulation of blood flow in the brain. Cold Spring Harbor Perspectives in Biology, 7(5):a020388. https://doi.org/10.1101/cshperspect.a020388
Nakayama T, 1985. Thermosensitive neurons in the brain. The Japanese Journal of Physiology, 35(3):375–389. https://doi.org/10.2170/jjphysiol.35.375
Perc M, 2007a. Effects of small-world connectivity on noise-induced temporal and spatial order in neural media. Chaos, Solitons & Fractals, 31(2):280–291. https://doi.org/10.1016/j.chaos.2005.10.018
Perc M, 2007b. Fluctuating excitability: a mechanism for self-sustained information flow in excitable arrays. Chaos, Solitons & Fractals, 32(3):1118–1124. https://doi.org/10.1016/j.chaos.2005.11.035
Peron S, Gabbiani F, 2009. Spike frequency adaptation mediates looming stimulus selectivity in a collision-detecting neuron. Nature Neuroscience, 12(3):318–326. https://doi.org/10.1038/nn.2259
Pikovskii AS, Rabinovich MI, 1978. A simple autogenerator with stochastic behavior. Soviet Physics Doklady, 23: 183–185.
Pountougnigni OV, Yamapi R, Filatrella G, et al., 2019. Noise and disorder effects in a series of birhythmic Josephson junctions coupled to a resonator. Physical Review E, 99(3):032220. https://doi.org/10.1103/PhysRevE.99.032220
Qin HX, Ma J, Wang CN, et al., 2014. Autapse-induced target wave, spiral wave in regular network of neurons. Science China Physics, Mechanics & Astronomy, 57(10):1918–1926. https://doi.org/10.1007/s11433-014-5466-5
Richter CP, Bayon R, Izzo AD, et al., 2008. Optical stimulation of auditory neurons: effects of acute and chronic deafening. Hearing Research, 242(1–2):42–51. https://doi.org/10.1016/j.heares.2008.01.011
Ruchty M, Roces F, Kleineidam CJ, 2010. Detection of minute temperature transients by thermosensitive neurons in ants. Journal of Neurophysiology, 104(3):1249–1256. https://doi.org/10.1152/jn.00390.2010
Saira OP, Zgirski M, Viisanen KL, et al., 2016. Dispersive thermometry with a Josephson junction coupled to a resonator. Physical Review Applied, 6(2):024005. https://doi.org/10.1103/PhysRevApplied.6.024005
Seung HS, Lee DD, Reis BY, et al., 2000. The autapse: a simple illustration of short-term analog memory storage by tuned synaptic feedback. Journal of Computational Neuroscience, 9(2):171–185. https://doi.org/10.1023/A:1008971908649
Song XL, Wang HT, Chen Y, 2019. Autapse-induced firing patterns transitions in the Morris-Lecar neuron model. Nonlinear Dynamics, 96(4):2341–2350. https://doi.org/10.1007/s11071-019-04925-7
Tang J, Zhang J, Ma J, et al., 2017. Astrocyte calcium wave induces seizure-like behavior in neuron network. Science China Technological Sciences, 60(7):1011–1018. https://doi.org/10.1007/s11431-016-0293-9
Vourkas I, Sirakoulis GC, 2016. Emerging memristor-based logic circuit design approaches: a review. IEEE Circuits and Systems Magazine, 16(3):15–30. https://doi.org/10.1109/MCAS.2016.2583673
Wang CN, Guo SL, Xu Y, et al., 2017. Formation of autapse connected to neuron and its biological function. Complexity, 2017:5436737. https://doi.org/10.1155/2017/5436737
Wang CN, Tang J, Ma J, 2019. Minireview on signal exchange between nonlinear circuits and neurons via field coupling. The European Physical Journal Special Topics, 228(10):1907–1924. https://doi.org/10.1140/epjst/e2019-800193-8
Wiederman SD, O’Carroll DC, 2013. Selective attention in an insect visual neuron. Current Biology, 23(2):156–161. https://doi.org/10.1016/j.cub.2012.11.048
Wu FQ, Zhang Y, Zhang XJ, 2019. Regulating firing rates in a neural circuit by activating memristive synapse with magnetic coupling. Nonlinear Dynamics, 98(2):971–984. https://doi.org/10.1007/s11071-019-05239-4
Wu FQ, Ma J, Zhang G, 2020. Energy estimation and coupling synchronization between biophysical neurons. Science China Technological Sciences, 63(4):625–636. https://doi.org/10.1007/s11431-019-9670-1
Xu Y, Liu MH, Zhu ZG, et al., 2020a. Dynamics and coherence resonance in a thermosensitive neuron driven by photocurrent. Chinese Physics B, 29(9):098704. https://doi.org/10.1088/1674-1056/ab9dee
Xu Y, Guo YY, Ren GD, et al., 2020b. Dynamics and stochastic resonance in a thermosensitive neuron. Applied Mathematics and Computation, 385:125427. https://doi.org/10.1016/j.amc.2020.125427
Yao CG, 2020. Synchronization and multistability in the coupled neurons with propagation and processing delays. Nonlinear Dynamics, 101(4):2401–2411. https://doi.org/10.1007/s11071-020-05922-x
Yao CG, He ZW, Nakano T, et al., 2019. Inhibitory-autapse-enhanced signal transmission in neural networks. Nonlinear Dynamics, 97(2):1425–1437. https://doi.org/10.1007/s11071-019-05060-z
Zandi-Mehran N, Jafari S, Golpayegani SMRH, et al., 2020. Different synaptic connections evoke different firing patterns in neurons subject to an electromagnetic field. Nonlinear Dynamics, 100(2):1809–1824. https://doi.org/10.1007/s11071-020-05576-9
Zhang L, Jones S, Brody K, et al., 2004. Thermosensitive transient receptor potential channels in vagal afferent neurons of the mouse. American Journal of Physiology-Gastrointestinal and Liver Physiology, 286(6):G983–G991. https://doi.org/10.1152/ajpgi.00441.2003
Zhang Y, Xu Y, Yao Z, et al., 2020. A feasible neuron for estimating the magnetic field effect. Nonlinear Dynamics, 102(3):1849–1867. https://doi.org/10.1007/s11071-020-05991-y
Zhang Y, Zhou P, Tang J, et al., 2021. Mode selection in a neuron driven by Josephson junction current in presence of magnetic field. Chinese Journal of Physics, 71:72–84. https://doi.org/10.1016/j.cjph.2020.11.011
Zhao ZG, Li L, Gu HG, 2020. Excitatory autapse induces different cases of reduced neuronal firing activities near Hopf bifurcation. Communications in Nonlinear Science and Numerical Simulation, 85:105250. https://doi.org/10.1016/j.cnsns.2020.105250
Zhou P, Yao Z, Ma J, et al., 2021a. A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus. Chaos, Solitons & Fractals, 145: 110751. https://doi.org/10.1016/j.chaos.2021.110751
Zhou P, Hu XK, Zhu ZG, et al., 2021b. What is the most suitable Lyapunov function? Chaos, Solitons & Fractals, 150:111154. https://doi.org/10.1016/j.chaos.2021.111154
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Xiu-fang ZHANG designed the research, processed the corresponding data, and wrote the first draft of the manuscript. Jun MA helped to organize the manuscript, and revised and edited the final version.
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Xiu-fang ZHANG and Jun MA declare that they have no conflict of interest.
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Project supported by the National Natural Science Foundation of China (No. 12072139)
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Zhang, Xf., Ma, J. Wave filtering and firing modes in a light-sensitive neural circuit. J. Zhejiang Univ. Sci. A 22, 707–720 (2021). https://doi.org/10.1631/jzus.A2100323
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DOI: https://doi.org/10.1631/jzus.A2100323