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On-line Access: 2023-02-24

Received: 2022-10-04

Revision Accepted: 2022-10-27

Crosschecked: 2023-02-24

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Clicked: 532

Citations:  Bibtex RefMan EndNote GB/T7714


Jun Ma


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Journal of Zhejiang University SCIENCE A 2023 Vol.24 No.2 P.109-129


Biophysical neurons, energy, and synapse controllability: a review

Author(s):  Jun MA

Affiliation(s):  Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China; more

Corresponding email(s):   hyperchaos@163.com, hyperchaos@lut.edu.cn

Key Words:  Energy balance, Creation of synapse, Functional neuron, Heterogeneity, Defects

Jun MA. Biophysical neurons, energy, and synapse controllability: a review[J]. Journal of Zhejiang University Science A, 2023, 24(2): 109-129.

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%J Journal of Zhejiang University SCIENCE A
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%D 2023
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2200469

T1 - Biophysical neurons, energy, and synapse controllability: a review
A1 - Jun MA
J0 - Journal of Zhejiang University Science A
VL - 24
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%@ 1673-565X
Y1 - 2023
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A2200469

Diffusive intracellular and extracellular ions induce a gradient electromagnetic field that regulates membrane potential, and energy injection from external stimuli breaks the energy balance between the magnetic and electric fields in a cell. Indeed, any activation of biophysical function and self-adaption of biological neurons may be dependent on energy flow, and synapse connection is controlled to reach energy balance between neurons. When more neurons are clustered and gathered closely, field energy is exchanged and shape formation is induced to achieve local energy balance. As a result, the coexistence of multiple firing modes in neural activities is fostered to prevent the occurrence of bursting synchronization and seizure. In this review, a variety of biophysical neuron models are presented and explained in terms of their physical aspects, and the controllability of functional synapses, formation of heterogeneity, and defects are clarified for knowing the synchronization stability and cooperation between functional regions. These models and findings are summarized to provide new insights into nonlinear physics and computational neuroscience.




Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1]AbdelAtyAM, FoudaME, EltawilAM, 2022. On numerical approximations of fractional-order spiking neuron models. Communications in Nonlinear Science and Numerical Simulation, 105:106078.

[2]AbidiAA, ChuaLO, 1979. On the dynamics of Josephson-junction circuits. IEE Journal on Electronic Circuits and Systems, 3(4):186-200.

[3]AhmadI, WangX, ZhuMX, et al., 2022. EEG-based epileptic seizure detection via machine/deep learning approaches: a systematic review. Computational Intelligence and Neuroscience, 2022:6486570.

[4]BailoulCE, AlaaNE, 2020. Modelling and simulation of transmission lines in a biological neuron. International Journal of Computational Biology and Drug Design, 13(2):224-234.

[5]BaoBC, LiHZ, WuHG, et al., 2020. Hyperchaos in a second-order discrete memristor-based map model. Electronics Letters, 56(15):769-770.

[6]BaoH, HuaZY, LiHZ, et al., 2021. Discrete memristor hyperchaotic maps. IEEE Transactions on Circuits and Systems I: Regular Papers, 68(11):4534-4544.

[7]BashkirtsevaI, NasyrovaV, RyashkoL, 2018. Analysis of noise effects in a map-based neuron model with Canard-type quasiperiodic oscillations. Communications in Nonlinear Science and Numerical Simulation, 63:261-270.

[8]BaysalV, YilmazE, 2020. Effects of electromagnetic induction on vibrational resonance in single neurons and neuronal networks. Physica A: Statistical Mechanics and Its Applications, 537:122733.

[9]BaysalV, ErkanE, YilmazE, 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.

[10]BélangerM, AllamanI, MagistrettiPJ, 2011. Brain energy metabolism: focus on astrocyte-neuron metabolic cooperation. Cell Metabolism, 14(6):724-738.

[11]BenmarhniaT, AlexanderS, PriceK, et al., 2018. The heterogeneity of vulnerability in public health: a heat wave action plan as a case study. Critical Public Health, 28(5):‍619-625.

[12]BonventoG, BolañosJP, 2021. Astrocyte-neuron metabolic cooperation shapes brain activity. Cell Metabolism, 33(8):1546-1564.

[13]BrekkeE, MorkenTS, SonnewaldU, 2015. Glucose metabolism and astrocyte‍–‍neuron interactions in the neonatal brain. Neurochemistry International, 82:33-41.

[14]CalabreseRL, NorrisBJ, WenningA, 2016. The neural control of heartbeat in invertebrates. Current Opinion in Neurobiology, 41:68-77.

[15]ChalkiadakisD, HizanidisJ, 2022. Dynamical properties of neuromorphic Josephson junctions. Physical Review E, 106(4):044206.

[16]ChenJX, XuJR, ZhangXP, et al., 2009. Controlling chaos by developing spiral wave from heterogeneity in excitable medium. Central European Journal of Physics, 7(1):‍108-113.

[17]ChenSL, ZouY, ZhangXD, 2019. An efficient method for Hopf bifurcation control in fractional-order neuron model. IEEE Access, 7:77490-77498.

[18]ChenX, ChandraN, 2004. The effect of heterogeneity on plane wave propagation through layered composites. Composites Science and Technology, 64(10-11):1477-1493.

[19]CorintoF, FortiM, 2016. Memristor circuits: flux-charge analysis method. IEEE Transactions on Circuits and Systems I: Regular Papers, 63(11):1997-2009.

[20]CrottyP, SchultD, SegallK, 2010. Josephson junction simulation of neurons. Physical Review E, 82(1):011914.

[21]DavisonEN, SchlesingerKJ, BassettDS, et al., 2015. Brain network adaptability across task states. PLoS Computational Biology, 11(1):e1004029.

[22]DengY, LiYX, 2021. Bifurcation and bursting oscillations in 2D non-autonomous discrete memristor-based hyperchaotic map. Chaos, Solitons & Fractals, 150:111064.

[23]DuMM, LiJJ, ChenL, et al., 2018. Astrocytic Kir4.1 channels and gap junctions account for spontaneous epileptic seizure. PLoS Computational Biology, 14(3):e1005877.

[24]DurkeeCA, AraqueA, 2019. Diversity and specificity of astrocyte–neuron communication. Neuroscience, 396:73-78.

[25]ElbasiounySM, 2014. Development of modified cable models to simulate accurate neuronal active behaviors. Journal of Applied Physiology, 117(11):1243-1261.

[26]EtéméAS, TabiCB, MohamadouA, 2019. Firing and synchronization modes in neural network under magnetic stimulation. Communications in Nonlinear Science and Numerical Simulation, 72:432-440.

[27]FlynnAM, SandersSR, 2002. Fundamental limits on energy transfer and circuit considerations for piezoelectric transformers. IEEE Transactions on Power Electronics, 17(1):8-14.

[28]FokaNFF, RamakrishnanB, TchamdaAR, et al., 2021. Dynamical analysis of Josephson junction neuron model driven by a thermal signal and its digital implementation based on microcontroller. The European Physical Journal B, 94(12):234.

[29]FossiJT, DeliV, EdimaHC, et al., 2022. Phase synchronization between two thermo-photoelectric neurons coupled through a Josephson junction. The European Physical Journal B, 95(4):66.

[30]Fourcaud-TrocméN, HanselD, van VreeswijkC, et al., 2003. How spike generation mechanisms determine the neuronal response to fluctuating inputs. Journal of Neuroscience, 23(37):11628-11640.

[31]FraschiniM, DemuruM, CrobeA, et al., 2016. The effect of epoch length on estimated EEG functional connectivity and brain network organisation. Journal of Neural Engineering, 13(3):036015.

[32]GaoJH, ZhengZG, MaJ, 2008. Controlling turbulence via target waves generated by local phase space compression. International Journal of Modern Physics B, 22(22):3855-3863.

[33]GeMY, JiaY, XuY, et al., 2019. Wave propagation and synchronization induced by chemical autapse in chain Hindmarsh‍–‍Rose neural network. Applied Mathematics and Computation, 352:136-145.

[34]GeMY, WangGW, JiaY, 2021. Influence of the Gaussian colored noise and electromagnetic radiation on the propagation of subthreshold signals in feedforward neural networks. Science China Technological Sciences, 64(4):‍847-857.

[35]GeethanathS, VaughanJT, 2019. Accessible magnetic resonance imaging: a review. Journal of Magnetic Resonance Imaging, 49(7):e65-e77.

[36]GiuriatoG, IvesSJ, TarperiC, et al., 2020. Timed synchronization of muscle contraction to heartbeat enhances muscle hyperemia. Journal of Applied Physiology, 128(4):‍805-812.

[37]GosakM, MilojevićM, DuhM, et al., 2022. Networks behind the morphology and structural design of living systems. Physics of Life Reviews, 41:1-21.

[38]GotetiUS, DynesRC, 2021. Superconducting neural networks with disordered Josephson junction array synaptic networks and leaky integrate-and-fire loop neurons. Journal of Applied Physics, 129(7):073901.

[39]GraasEL, BrownEA, LeeRH, 2004. An FPGA-based approach to high-speed simulation of conductance-based neuron models. Neuroinformatics, 2(4):417-435.

[40]GrassiaF, BuhryL, LéviT, et al., 2011. Tunable neuromimetic integrated system for emulating cortical neuron models. Frontiers in Neuroscience, 5:134.

[41]GuanKL, RaoY, 2003. Signalling mechanisms mediating neuronal responses to guidance cues. Nature Reviews Neuroscience, 4(12):941-956.

[42]GuoSL, WangCN, MaJ, et al., 2016. Transmission of blocked electric pulses in a cable neuron model by using an electric field. Neurocomputing, 216:627-637.

[43]GuoSL, XuY, WangCN, et al., 2017. Collective response, synapse coupling and field coupling in neuronal network. Chaos, Solitons & Fractals, 105:120-127.

[44]GuoYT, ZhouP, YaoZ, et al., 2021. Biophysical mechanism of signal encoding in an auditory neuron. Nonlinear Dynamics, 105(4):3603-3614.

[45]GuoYY, WangCN, YaoZ, et al., 2022. Desynchronization of thermosensitive neurons by using energy pumping. Physica A: Statistical Mechanics and Its Applications, 602:127644.

[46]HeGG, CaoZT, ChenHP, et al., 2003. Controlling chaos in a neural network based on the phase space constraint. International Journal of Modern Physics B, 17(22n24):‍4209-4214.

[47]HeZW, YaoCG, 2020. The effect of oxygen concentration on the coupled neurons: rich spiking patterns and synchronization. Science China Technological Sciences, 63(11):2339-2348.

[48]HembySE, GinsbergSD, BrunkB, et al., 2002. Gene expression profile for schizophrenia: discrete neuron transcription patterns in the entorhinal cortex. Archives of General Psychiatry, 59(7):631-640.

[49]HensC, PalP, DanaSK, 2015. Bursting dynamics in a population of oscillatory and excitable Josephson junctions. Physical Review E, 92(2):022915.

[50]HerasR, 2016. The Helmholtz theorem and retarded fields. European Journal of Physics, 37(7):065204.

[51]HuYF, ZhangY, ChangYL, et al., 2010. Optimizing the power output of a ZnO photocell by piezopotential. ACS Nano, 4(7):4220-4224.

[52]HuangCL, HuangXQ, ZhangXM, et al., 2020. Waves induced by heterogeneity in oscillatory media. New Journal of Physics, 22(8):083019.

[53]IbarzB, CaoH, SanjuánMAF, 2008. Bursting regimes in map-based neuron models coupled through fast threshold modulation. Physical Review E, 77(5):051918.

[54]JhaMK, MorrisonBM, 2018. Glia-neuron energy metabolism in health and diseases: new insights into the role of nervous system metabolic transporters. Experimental Neurology, 309:23-31.

[55]JoglekarYN, WolfSJ, 2009. The elusive memristor: properties of basic electrical circuits. European Journal of Physics, 30(4):661-675.

[56]KafrajMS, ParasteshF, JafariS, 2020. Firing patterns of an improved Izhikevich neuron model under the effect of electromagnetic induction and noise. Chaos, Solitons & Fractals, 137:109782.

[57]KhakhBS, 2019. Astrocyte–neuron interactions in the striatum: insights on identity, form, and function. Trends in Neurosciences, 42(9):617-630.

[58]KimKM, YangJJ, MercedE, et al., 2015. Low variability resistor–memristor circuit masking the actual memristor states. Advanced Electronic Materials, 1(6):1500095.

[59]KobeDH, 1986. Helmholtz's theorem revisited. American Journal of Physics, 54(6):552-554.

[60]Kuhtz-BuschbeckJP, SchaeferJ, WilderN, et al., 2021. The origin of the heartbeat and theories of muscle contraction. Physiological concepts and conflicts in the 19th century. Progress in Biophysics and Molecular Biology, 159:3-9.

[61]KyprianidisIM, PapachristouV, StouboulosIN, et al., 2012. Dynamics of coupled chaotic Bonhoeffer-van der Pol oscillators. WSEAS Transactions on Systems, 11(9):516-526.

[62]LatorreMA, WårdellK, 2019. A comparison between single and double cable neuron models applicable to deep brain stimulation. Biomedical Physics & Engineering Express, 5(5):025026.

[63]LiJ, TangJ, MaJ, et al., 2016. Dynamic transition of neuronal firing induced by abnormal astrocytic glutamate oscillation. Scientific Reports, 6:32343.

[64]LiJJ, LiuSB, LiuWM, et al., 2016. Suppression of firing activities in neuron and neurons of network induced by electromagnetic radiation. Nonlinear Dynamics, 83(1-2):801-810.

[65]LiJJ, XieY, YuYG, et al., 2017. A neglected GABAergic astrocyte: calcium dynamics and involvement in seizure activity. Science China Technological Sciences, 60(7):1003-1010.

[66]LiKX, BaoH, LiHZ, et al., 2022. Memristive Rulkov neuron model with magnetic induction effects. IEEE Transactions on Industrial Informatics, 18(3):1726-1736.

[67]LiY, OkuM, HeGG, et al., 2017. Elimination of spiral waves in a locally connected chaotic neural network by a dynamic phase space constraint. Neural Networks, 88:9-21.

[68]LinHR, WangCH, DengQL, et al., 2021. Review on chaotic dynamics of memristive neuron and neural network. Nonlinear Dynamics, 106(1):959-973.

[69]LiuG, GuoL, LiuCL, et al., 2018. Evaluation of different calibration equations for NTC thermistor applied to high-precision temperature measurement. Measurement, 120:21-27.

[70]LiuY, XuWJ, MaJ, et al., 2020. A new photosensitive neuron model and its dynamics. Frontiers of Information Technology & Electronic Engineering, 21(9):1387-1396.

[71]LiuZL, WangCN, JinWY, et al., 2019a. Capacitor coupling induces synchronization between neural circuits. Nonlinear Dynamics, 97(4):2661-2673.

[72]LiuZL, WangCN, ZhangG, et al., 2019b. Synchronization between neural circuits connected by hybrid synapse. International Journal of Modern Physics B, 33(16):1950170.

[73]LiuZL, ZhouP, MaJ, et al., 2020. Autonomic learning via saturation gain method, and synchronization between neurons. Chaos, Solitons & Fractals, 131:109533.

[74]LuLL, JiaY, KirundaJB, et al., 2019. Effects of noise and synaptic weight on propagation of subthreshold excitatory postsynaptic current signal in a feed-forward neural network. Nonlinear Dynamics, 95(2):1673-1686.

[75]LuoXS, 1999. Using phase space compression to control chaos and hyperchaos. Acta Physica Sinica, 48(3):402-407 (in Chinese).

[76]LvM, WangCN, RenGD, et al., 2016. Model of electrical activity in a neuron under magnetic flow effect. Nonlinear Dynamics, 85(3):1479-1490.

[77]LvM, MaJ, YaoYG, et al., 2019. Synchronization and wave propagation in neuronal network under field coupling. Science China Technological Sciences, 62(3):448-457.

[78]MaJ, 2022. Chaos theory and applications: the physical evidence, mechanism are important in chaotic systems. Chaos Theory and Applications, 4(1):1-3.

[79]MaJ, TangJ, 2017. A review for dynamics in neuron and neuronal network. Nonlinear Dynamics, 89(3):1569-1578.

[80]MaJ, WangQY, JinWY, et al., 2008. Control chaos in Hindmarsh-Rose neuron by using intermittent feedback with one variable. Chinese Physics Letters, 25(10):3582-3585.

[81]MaJ, JiaY, YiM, et al., 2009. Suppression of spiral wave and turbulence by using amplitude restriction of variable in a local square area. Chaos, Solitons & Fractals, 41(3):1331-1339.

[82]MaJ, SongXL, JinWY, et al., 2015a. Autapse-induced synchronization in a coupled neuronal network. Chaos, Solitons & Fractals, 80:31-38.

[83]MaJ, SongXL, TangJ, et al., 2015b. Wave emitting and propagation induced by autapse in a forward feedback neuronal network. Neurocomputing, 167:378-389.

[84]MaJ, WuFQ, HayatT, et al., 2017. Electromagnetic induction and radiation-induced abnormality of wave propagation in excitable media. Physica A: Statistical Mechanics and Its Applications, 486:508-516.

[85]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.

[86]MaSY, YaoZ, ZhangY, et al., 2019. Phase synchronization and lock between memristive circuits under field coupling. AEU-International Journal of Electronics and Communications, 105:177-185.

[87]MaXW, XuY, 2022. Taming the hybrid synapse under energy balance between neurons. Chaos, Solitons & Fractals, 159:112149.

[88]MajhiS, PercM, GhoshD, 2022. Dynamics on higher-order networks: a review. Journal of the Royal Society Interface, 19(188):20220043.

[89]MalikSA, MirAH, 2020. FPGA realization of fractional order neuron. Applied Mathematical Modelling, 81:372-385.

[90]ManorY, NadimF, 2001. Frequency regulation demonstrated by coupling a model and a biological neuron. Neurocomputing, 38-40:269-278.

[91]MatsubaraT, TorikaiH, HishikiT, 2011. A generalized rotate-and-fire digital spiking neuron model and its on-FPGA learning. IEEE Transactions on Circuits and Systems II: Express Briefs, 58(10):677-681.

[92]MishraA, GhoshS, Kumar DanaS, et al., 2021. Neuron-like spiking and bursting in Josephson junctions: a review. Chaos, 31(5):052101.

[93]MishraD, YadavA, RayS, et al., 2006. Exploring biological neuron models. The Research Magazine of IIT Kanpur, 7:13-22.

[94]MondalA, UpadhyayRK, MaJ, et al., 2019a. Bifurcation analysis and diverse firing activities of a modified excitable neuron model. Cognitive Neurodynamics, 13(4):393-407.

[95]MondalA, SharmaSK, UpadhyayRK, et al., 2019b. Firing activities of a fractional-order FitzHugh-Rinzel bursting neuron model and its coupled dynamics. Scientific Reports, 9(1):15721.

[96]MostaghimiS, NazarimehrF, JafariS, et al., 2019. Chemical and electrical synapse-modulated dynamical properties of coupled neurons under magnetic flow. Applied Mathematics and Computation, 348:42-56.

[97]MoujahidA, d'AnjouA, TorrealdeaFJ, et al., 2011. Energy and information in Hodgkin-Huxley neurons. Physical Review E, 83(3):031912.

[98]MukamelR, EkstromAD, KaplanJ, et al., 2010. Single-neuron responses in humans during execution and observation of actions. Current Biology, 20(8):750-756.

[99]MuniSS, RajagopalK, KarthikeyanA, et al., 2022. Discrete hybrid Izhikevich neuron model: nodal and network behaviours considering electromagnetic flux coupling. Chaos, Solitons & Fractals, 155:111759.

[100]NasiraeeM, KordyHM, KazemitabarJ, 2022. Capacity per unit cost-achieving input distribution of rated-inverse gaussian biological neuron. IEEE Transactions on Communications, 70(6):3788-3803.

[101]NazariS, AmiriM, FaezK, et al., 2015. Multiplier-less digital implementation of neuron‍–‍astrocyte signalling on FPGA. Neurocomputing, 164:281-292.

[102]NenovaZP, NenovTG, 2009. Linearization circuit of the thermistor connection. IEEE Transactions on Instrumentation and Measurement, 58(2):441-449.

[103]NjitackeZT, TakemboCN, KoumetioBN, et al., 2022. Complex dynamics and autapse-modulated information patterns in memristive Wilson neurons. Nonlinear Dynamics, 110: 2793-2804.

[104]NouriM, HayatiM, Serrano-GotarredonaT, et al., 2019. A digital neuromorphic realization of the 2-D Wilson neuron model. IEEE Transactions on Circuits and Systems II: Express Briefs, 66(1):136-140.

[105]OlumodejiOA, GottardiM, 2017. Arduino-controlled HP memristor emulator for memristor circuit applications. Integration, 58:438-445.

[106]PalK, GhoshD, GangopadhyayG, 2021. Synchronization and metabolic energy consumption in stochastic Hodgkin-Huxley neurons: patch size and drug blockers. Neurocomputing, 422:222-234.

[107]ParasteshF, JafariS, AzarnoushH, et al., 2021. Chimeras. Physics Reports, 898:1-114.

[108]Paul AsirM, PrasadA, KuznetsovNV, et al., 2021. Chimera states in a class of hidden oscillatory networks. Nonlinear Dynamics, 104(2):1645-1655.

[109]PengL, TangJ, MaJ, et al., 2022. The influence of autapse on synchronous firing in small-world neural networks. Physica A: Statistical Mechanics and Its Applications, 594:126956.

[110]PengYX, SunKH, HeSB, 2020. A discrete memristor model and its application in Hénon map. Chaos, Solitons & Fractals, 137:109873.

[111]PintoRD, VaronaP, VolkovskiiAR, et al., 2000. Synchronous behavior of two coupled electronic neurons. Physical Review E, 62(2):2644-2656.

[112]PriyaS, SongHC, ZhouY, et al., 2017. A review on piezoelectric energy harvesting: materials, methods, and circuits. Energy Harvesting and Systems, 4(1):3-39.

[113]ProtacheviczPR, IaroszKC, CaldasIL, et al., 2020. Influence of autapses on synchronization in neural networks with chemical synapses. Frontiers in Systems Neuroscience, 14:604563.

[114]QiCS, LiYY, GuHG, et al., 2022. Nonlinear mechanism for the enhanced bursting activities induced by fast inhibitory autapse and reduced activities by fast excitatory autapse. Cognitive Neurodynamics, in press.

[115]QinHX, WuY, WangCN, et al., 2015. Emitting waves from defects in network with autapses. Communications in Nonlinear Science and Numerical Simulation, 23(1-3):164-174.

[116]RadziemskaE, KlugmannE, 2002. Thermally affected parameters of the current–voltage characteristics of silicon photocell. Energy Conversion and Management, 43(14):‍1889-1900.

[117]RajagopalK, HeSB, KarthikeyanA, et al., 2021. Size matters: effects of the size of heterogeneity on the wave re-entry and spiral wave formation in an excitable media. Chaos, 31(5):053131.

[118]RamakrishnanB, MehrabbeikM, ParasteshF, et al., 2022. A new memristive neuron map model and its network's dynamics under electrochemical coupling. Electronics, 11(1):153.

[119]RenGD, ZhouP, MaJ, et al., 2017. Dynamical response of electrical activities in digital neuron circuit driven by autapse. International Journal of Bifurcation and Chaos, 27(12):1750187.

[120]RicciG, VolpiL, PasqualiL, et al., 2009. Astrocyte–neuron interactions in neurological disorders. Journal of Biological Physics, 35(4):317-336.

[121]RostamiZ, JafariS, 2018. Defects formation and spiral waves in a network of neurons in presence of electromagnetic induction. Cognitive Neurodynamics, 12(2):‍235-254.

[122]RulkovNF, 2001. Regularization of synchronized chaotic bursts. Physical Review Letters, 86(1):183-186.

[123]SarasolaC, TorrealdeaFJ, d'AnjouA, et al., 2004. Energy balance in feedback synchronization of chaotic systems. Physical Review E, 69(1):011606.

[124]SchmidtR, BasuA, BrinkmanAW, 2004. Production of NTCR thermistor devices based on NiMn2O4+δ. Journal of the European Ceramic Society, 24(6):1233-1236.

[125]SegallK, LeGroM, KaplanS, et al., 2017. Synchronization dynamics on the picosecond time scale in coupled Josephson junction neurons. Physical Review E, 95(3):032220.

[126]ShiM, WangZH, 2014. Abundant bursting patterns of a fractional-order Morris‍–‍Lecar neuron model. Communications in Nonlinear Science and Numerical Simulation, 19(6):1956-1969.

[127]ShiWW, ZhangJY, ZhangZG, et al., 2020. An introduction and review on innovative silicon implementations of implantable/scalp EEG chips for data acquisition, seizure/behavior detection, and brain stimulation. Brain Science Advances, 6(3):242-254.

[128]SiH, SunXJ, 2021. Information propagation in recurrent neuronal populations with mixed excitatory-inhibitory synaptic connections. Nonlinear Dynamics, 104(1):557-576.

[129]SilvermanME, GroveD, UpshawCB, 2006. Why does the heart beat? The discovery of the electrical system of the heart. Circulation, 113(23):2775-2781.

[130]SongXL, WangHT, ChenY, 2019. Autapse-induced firing patterns transitions in the Morris-Lecar neuron model. Nonlinear Dynamics, 96(4):2341-2350.

[131]SuginoC, RuzzeneM, ErturkA, 2020. Nonreciprocal piezoelectric metamaterial framework and circuit strategies. Physical Review B, 102(1):014304.

[132]SunXJ, SiH, 2020. Population rate coding in recurrent neuronal networks consisting of neurons with mixed excitatory–inhibitory synapses. Nonlinear Dynamics, 100(3):‍2673-2686.

[133]TaherH, AvitabileD, DesrochesM, 2022. Bursting in a next generation neural mass model with synaptic dynamics: a slow-fast approach. Nonlinear Dynamics, 108(4):‍4261-4285.

[134]TekaWW, UpadhyayRK, MondalA, 2018. Spiking and bursting patterns of fractional-order Izhikevich model. Communications in Nonlinear Science and Numerical Simulation, 56:161-176.

[135]TelesfordQK, LynallME, VettelJ, et al., 2016. Detection of functional brain network reconfiguration during task-driven cognitive states. NeuroImage, 142:198-210.

[136]TomimatsuA, YokokuraS, AwagaK, 2022. Duty-cycle dependence of photo-induced displacement current in MISIM photocells. Organic Electronics, 109:106632.

[137]TorrealdeaFJ, d'AnjouA, GrañaM, et al., 2006. Energy aspects of the synchronization of model neurons. Physical Review E, 74(1):011905.

[138]TorrealdeaFJ, SarasolaC, d'AnjouA, 2009. Energy consumption and information transmission in model neurons. Chaos, Solitons & Fractals, 40(1):60-68.

[139]TrenchardH, PercM, 2016. Energy saving mechanisms, collective behavior and the variation range hypothesis in biological systems: a review. Biosystems, 147:40-66.

[140]TuckwellHC, 2006. Spatial neuron model with two-parameter Ornstein‍–‍Uhlenbeck input current. Physica A: Statistical Mechanics and Its Applications, 368(2):495-510.

[141]TuoXH, YangXL, 2022. How synaptic plasticity affects the stochastic resonance in a modular neuronal network? Nonlinear Dynamics, 110(1):791-802.

[142]TurrigianoG, 2012. Homeostatic synaptic plasticity: local and global mechanisms for stabilizing neuronal function. Cold Spring Harbor Perspectives in Biology, 4(1):a005736.

[143]UpadhyayRK, SharmaSK, MondalA, et al., 2022. Emergence of hidden dynamics in different neuronal network architecture with injected electromagnetic induction. Applied Mathematical Modelling, 111:288-309.

[144]van GeitW, de SchutterE, AchardP, 2008. Automated neuron model optimization techniques: a review. Biological Cybernetics, 99(4):241-251.

[145]VecchioF, MiragliaF, RossiniPM, 2017. Connectome: graph theory application in functional brain network architecture. Clinical Neurophysiology Practice, 2:206-213.

[146]WangCN, MaJ, 2018. A review and guidance for pattern selection in spatiotemporal system. International Journal of Modern Physics B, 32(6):1830003.

[147]WangCN, GuoSL, XuY, et al., 2017. Formation of autapse connected to neuron and its biological function. Complexity, 2017:5436737.

[148]WangCN, TangJ, MaJ, 2019. Minireview on signal exchange between nonlinear circuits and neurons via field coupling. The European Physical Journal Special Topics, 228(10):1907-1924.

[149]WangCN, SunGP, YangFF, et al., 2022. Capacitive coupling memristive systems for energy balance. AEU-International Journal of Electronics and Communications, 153:154280.

[150]WangR, LinP, LiuMX, et al., 2019. Hierarchical connectome modes and critical state jointly maximize human brain fun

[151]ctional diversity. Physical Review Letters, 123(3):038301.

[152]WangY, MaJ, 2022. Creation of synaptic connection to memristive neurons under noise. Optik, 270:170011.

[153]WangY, SunGP, RenGD, 2022. Diffusive field coupling induced synchronization between neural circuits under energy balance. Chinese Physics B, in press.

[154]WuFQ, WangCN, XuY, et al., 2016. Model of electrical activity in cardiac tissue under electromagnetic induction. Scientific Reports, 6(1):28.

[155]WuFQ, WangCN, JinWY, et al., 2017. Dynamical responses in a new neuron model subjected to electromagnetic induction and phase noise. Physica A: Statistical Mechanics and Its Applications, 469:81-88.

[156]WuFQ, GuHG, JiaYB, 2021. Bifurcations underlying different excitability transitions modulated by excitatory and inhibitory memristor and chemical autapses. Chaos, Solitons & Fractals, 153:111611.

[157]XieY, MaJ, 2022. How to discern external acoustic waves in a piezoelectric neuron under noise? Journal of Biological Physics, 48(3):339-353.

[158]XieY, ZhuZG, ZhangXF, et al., 2021a. Control of firing mode in nonlinear neuron circuit driven by photocurrent. Acta Physica Sinica, 70(21):210502 (in Chinese).

[159]XieY, YaoZ, HuXK, et al., 2021b. Enhance sensitivity to illumination and synchronization in light-dependent neurons. Chinese Physics B, 30(12):120510.

[160]XieY, YaoZ, MaJ, 2022a. Formation of local heterogeneity under energy collection in neural networks. Science China Technological Sciences, in press.

[161]XieY, YaoZ, MaJ, 2022b. Phase synchronization and energy balance between neurons. Frontiers of Information Technology & Electronic Engineering, 23(9):1407-1420.

[162]XieY, ZhouP, YaoZ, et al., 2022c. Response mechanism in a functional neuron under multiple stimuli. Physica A: Statistical Mechanics and Its Applications, 607:128175.

[163]XieY, ZhouP, MaJ, 2023. Energy balance and synchronization via inductive-coupling in functional neural circuits. Applied Mathematical Modelling, 113:175-187.

[164]XuKS, MaidanaJP, OrioP, 2021. Diversity of neuronal activity is provided by hybrid synapses. Nonlinear Dynamics, 105(3):2693-2710.

[165]XuY, MaJ, 2022. Pattern formation in a thermosensitive neural network. Communications in Nonlinear Science and Numerical Simulation, 111:106426.

[166]XuY, YingHP, JiaY, et al., 2017. Autaptic regulation of electrical activities in neuron under electromagnetic induction. Scientific Reports, 7:43452.

[167]XuY, JiaY, MaJ, et al., 2018a. Collective responses in electrical activities of neurons under field coupling. Scientific Reports, 8(1):1349.

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

[169]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.

[170]XuY, GuoYY, RenGD, et al., 2020. Dynamics and stochastic resonance in a thermosensitive neuron. Applied Mathematics and Computation, 385:125427.

[171]XuYM, YaoZ, HobinyA, et al., 2019. Differential coupling contributes to synchronization via a capacitor connection between chaotic circuits. Frontiers of Information Technology & Electronic Engineering, 20(4):571-583.

[172]YakovlevaM, BhandS, DanielssonB, 2013. The enzyme thermistor‍–‍a realistic biosensor concept. A critical review. Analytica Chimica Acta, 766:1-12. http://dx.doi.org/10.1016/j.aca.2012.12.004

[173]YanXC, YangDP, LinZH, et al., 2022. Significant low-dimensional spectral-temporal features for seizure detection. IEEE Transactions on Neural Systems and Rehabilitation Engineering, 30:668-677.

[174]YangJ, SawanM, 2020. From seizure detection to smart and fully embedded seizure prediction engine: a review. IEEE Transactions on Biomedical Circuits and Systems, 14(5):1008-1023.

[175]YangXL, WangJY, SunZK, 2017. The collective bursting dynamics in a modular neuronal network with synaptic plasticity. Nonlinear Dynamics, 89(4):2593-2602.

[176]YaoCG, HeZW, NakanoT, et al., 2019. Inhibitory-autapse-enhanced signal transmission in neural networks. Nonlinear Dynamics, 97(2):1425-1437.

[177]YaoZ, WangCN, 2021. Control the collective behaviors in a functional neural network. Chaos, Solitons & Fractals, 152:111361.

[178]YaoZ, WangCN, 2022. Collective behaviors in a multiple functional network with hybrid synapses. Physica A: Statistical Mechanics and Its Applications, 605:127981.

[179]YaoZ, ZhouP, ZhuZG, et al., 2021a. Phase synchronization between a light-dependent neuron and a thermosensitive neuron. Neurocomputing, 423:518-534.

[180]YaoZ, WangCN, ZhouP, et al., 2021b. Regulating synchronous patterns in neurons and networks via field coupling. Communications in Nonlinear Science and Numerical Simulation, 95:105583.

[181]YilmazE, BaysalV, OzerM, et al., 2016. Autaptic pacemaker mediated propagation of weak rhythmic activity across small-world neuronal networks. Physica A: Statistical Mechanics and Its Applications, 444:538-546.

[182]YuHT, WangJ, SunJB, et al., 2012. Effects of hybrid synapses on the vibrational resonance in small-world neuronal networks. Chaos, 22(3):033105.

[183]YuHT, GuoXM, WangJ, 2017. Stochastic resonance enhancement of small-world neural networks by hybrid synapses and time delay. Communications in Nonlinear Science and Numerical Simulation, 42:532-544.

[184]YuK, NiuXD, Krook-MagnusonE, et al., 2021. Intrinsic functional neuron-type selectivity of transcranial focused ultrasound neuromodulation. Nature Communications, 12(1):2519.

[185]YuYY, LiJJ, YuanZX, et al., 2022. Dynamic mechanism of epileptic seizures generation and propagation after ischemic stroke. Nonlinear Dynamics, 109(4):3113-3132.

[186]YuanY, HuoH, FangT, 2018. Effects of metabolic energy on synaptic transmission and dendritic integration in pyramidal neurons. Frontiers in Computational Neuroscience, 12:79.

[187]YuanZX, FengPH, DuMM, et al., 2020. Dynamical response of a neuron‍–astrocyte coupling system under electromagnetic induction and external stimulation. Chinese Physics B, 29(3):030504.

[188]ZamenS, Dehghan-NiriE, 2019. Observation and diagnosis of chaos in nonlinear acoustic waves using phase-space domain. Journal of Sound and Vibration, 463:114959.

[189]ZhangG, MaJ, AlsaediA, et al., 2018a. Dynamical behavior and application in Josephson junction coupled by memristor. Applied Mathematics and Computation, 321:‍290-299.

[190]ZhangG, WuFQ, HayatT, et al., 2018b. Selection of spatial pattern on resonant network of coupled memristor and Josephson junction. Communications in Nonlinear Science and Numerical Simulation, 65:79-90.

[191]ZhangX, ShenK, 2001. Controlling spatiotemporal chaos via phase space compression. Physical Review E, 63(4):046212.

[192]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.

[193]ZhangXF, WangCN, MaJ, et al., 2020. Control and synchronization in nonlinear circuits by using a thermistor. Modern Physics Letters B, 34(25):2050267.

[194]ZhangXF, MaJ, XuY, et al., 2021a. Synchronization between FitzHugh-Nagumo neurons coupled with phototube. Acta Physica Sinica, 70(9):090502 (in Chinese).

[195]ZhangXF, YaoZ, GuoYY, et al., 2021b. Target wave in the network coupled by thermistors. Chaos, Solitons & Fractals, 142:110455.

[196]ZhangY, XuY, YaoZ, et al., 2020a. A feasible neuron for estimating the magnetic field effect. Nonlinear Dynamics, 102(3):1849-1867.

[197]ZhangY, WangCN, TangJ, et al., 2020b. Phase coupling synchronization of FHN neurons connected by a Josephson junction. Science China Technological Sciences, 63(11):2328-2338.

[198]ZhangY, ZhouP, TangJ, 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.

[199]ZhaoZG, LiL, GuHG, 2020. Excitatory autapse induces different cases of reduced neuronal firing activities near Hopf bifurcation. Communications in Nonlinear Science and Numerical Simulation, 85:105250.

[200]ZhouP, YaoZ, MaJ, et al., 2021a. A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus. Chaos, Solitons & Fractals, 145:110751.

[201]ZhouP, HuXK, ZhuZG, et al., 2021b. What is the most suitable Lyapunov function? Chaos, Solitons & Fractals, 150:111154.

[202]ZhouP, ZhangXF, MaJ, 2022a. How to wake up the electric synapse coupling between neurons? Nonlinear Dynamics, 108(2):1681-1695.

[203]ZhouP, ZhangXF, HuXK, et al., 2022b. Energy balance between two thermosensitive circuits under field coupling. Nonlinear Dynamics, 110(2):1879-1895.

[204]ZhouQ, WeiDQ, 2021. Collective dynamics of neuronal network under synapse and field coupling. Nonlinear Dynamics, 105(1):753-765.

[205]ZhuZG, RenGD, ZhangXF, et al., 2021. Effects of multiplicative-noise and coupling on synchronization in thermosensitive neural circuits. Chaos, Solitons & Fractals, 151:111203.

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