The inverse stochastic resonance in a small-world neuronal network under electromagnetic stimulation_Journal of Biomedical Engineering

Authors：

 YANG Huilan ^1,2 , TIAN Shuxiang ³ , ZHU Haijun ⁴ , XU Guizhi ¹

1. School of Electrical Engineering, Hebei University of Technology, Tianjin 300130, P. R. China;
2. School of Information Engineering, Tianjin University of Commerce, Tianjin 300134, P. R. China;
3. Beijing Key Laboratory of Drug Dependence, National Institute on Drug Dependence, Peking University, Beijing 100191, P. R. China;
4. Key Laboratory of Digital Medical Engineering of Hebei Province, College of Electronic & Information Engineering, Hebei University, Baoding, Hebei 071002, P. R. China;

Corresponding author：

YANG Huilan, Email: hlyang@tjcu.edu.cn

Keywords：

Electromagnetic stimulation; Neural regulation; Neural network; Inverse stochastic resonance

DOI：

10.7507/1001-5515.202209021

Video：

Export PDF Favorites Scan Get Citation

Abstract Full text Figures/Tables Video References Cited by

Electromagnetic stimulation is an important neuromodulation technique that modulates the electrical activity of neurons and affects cortical excitability for the purpose of modulating the nervous system. The phenomenon of inverse stochastic resonance is a response mechanism of the biological nervous system to external signals and plays an important role in the signal processing of the nervous system. In this paper, a small-world neural network with electrical synaptic connections was constructed, and the inverse stochastic resonance of the small-world neural network under electromagnetic stimulation was investigated by analyzing the dynamics of the neural network. The results showed that: the Levy channel noise under electromagnetic stimulation could cause the occurrence of inverse stochastic resonance in small-world neural networks; the characteristic index and location parameter of the noise had significant effects on the intensity and duration of the inverse stochastic resonance in neural networks; the larger the probability of randomly adding edges and the number of nearest neighbor nodes in small-world networks, the more favorable the anti-stochastic resonance was; by adjusting the electromagnetic stimulation parameters, a dual regulation of the inverse stochastic resonance of the neural network can be achieved. The results of this study provide some theoretical support for exploring the regulation mechanism of electromagnetic nerve stimulation technology and the signal processing mechanism of nervous system.

Citation： YANG Huilan, TIAN Shuxiang, ZHU Haijun, XU Guizhi. The inverse stochastic resonance in a small-world neuronal network under electromagnetic stimulation. Journal of Biomedical Engineering, 2023, 40(5): 859-866. doi: 10.7507/1001-5515.202209021 Copy

1.	Hagmann P, Cammoun L, Gigandet X, et al. Mapping the structural core of human cerebral cortex. PLoS Biology, 2008, 6(7): 1479-1493.
2.	Honey C J, Sporns O, Cammoun L, et al. Predicting human resting-state functional connectivity from structural connectivity. PNAS, 2009, 106(6): 2035-2040.
3.	Bandyopadhyay A, Kar S. Impact of network structure on synchronization of Hindmarsh-Rose neurons coupled in structured network. Appl Math Comput, 2018, 333: 194-212.
4.	Lopes M A, Goltsev A V. Distinct dynamical behavior in Erdos-Renyi networks, regular random networks, ring lattices, and all-to-all neuronal networks. Phys Rev E, 2019, 99(2): 022303.
5.	Sun X J, Liu Z F, Perc M. Effects of coupling strength and network topology on signal detection in small-world neuronal networks. Nonlinear Dyn, 2019, 96(3): 2145-2155.
6.	Yao Z L, Yang X L, Sun Z K. How synaptic plasticity influences spike synchronization and its transitions in complex neuronal network. Chaos, 2018, 28(8): 9.
7.	Baysal V, Sarac Z, Yilmaz E. Chaotic resonance in Hodgkin-Huxley neuron. Nonlinear Dyn, 2019, 97(2): 1275-1285.
8.	曲良辉, 都琳, 曹子露. 化学自突触的电导扰动诱导相干或随机双共振现象. 物理学报, 2020, 69(23): 230501.
9.	李国芳, 孙晓娟. 小世界神经元网络随机共振现象: 混合突触和部分时滞的影响. 物理学报, 2017, 66(24): 16-27.
10.	Guo D Q, Perc M, Zhang Y S, et al. Frequency-difference-dependent stochastic resonance in neural systems. Phys Rev E, 2017, 96(2): 6.
11.	Yonkeu R M, Yamapi R, Filatrella G, et al. Can Lévy noise induce coherence and stochastic resonances in a birhythmic van der Pol system?. Eur Phys J B, 2020, 93: 144.
12.	Tuckwell H, Jost J, Gutkin B. Inhibition and modulation of rhythmic neuronal spiking by noise. Phys Rev E, 2009, 80: 031907.
13.	Paydarfar D, Forger D B, Clay J R. Noisy inputs and the induction of on-off switching behavior in a neuronal pacemaker. J Neurophysiol, 2006, 96(6): 3338-3348.
14.	Buchi A, Rieublan S, Häusser M, et al. Inverse stochastic resonance in cerebellar Purkinje cells. PLoS Comput Biol, 2016, 12: e1005000.
15.	Uzuntarla M, Cressman J, Ozer M, et al. Dynamical structure underlying inverse stochastic resonance and its implications. Phys Rev E, 2013, 88: 042712.
16.	Uzuntarla M, Cressman J R, Ozer M, et al. Inverse stochastic resonance induced by ion channel noise. BMC Neurosci, 2012, 13(Suppl 1): P181.
17.	Uzuntarla M. Firing dynamics in hybrid coupled populations of bistable neurons. Neurocomputing, 2019, 367: 328-336.
18.	Maisel B, Lindenberg K. Channel noise effects on neural synchronization. Physica A, 2020, 552: 12.
19.	Uzuntarla M, Barreto E, Torres J. Inverse stochastic resonance in networks of spiking neurons. PLoS Comput Biol, 2017, 13: e1005646.
20.	Wu J, Xu Y, Ma J. Levy noise improves the electrical activity in a neuron under electromagnetic radiation. PLoS One, 2017, 12(3): 13.
21.	Zhao Y, Li D X. Levy noise-induced inverse stochastic resonance in a single neuron. Mod Phys Lett B, 2019, 33(21): 16.
22.	Li D, Song S, Zhang N. Lévy noise-induced inverse stochastic resonance on Newman–Watts networks of Hodgkin–Huxley neurons. Int J Mod Phys B, 2020, 34(19): 2050185.
23.	Barker A T, Ri J, Freeston I L. Noninvasive magnetic stimulation of the human motor cortex. Lancet, 1985, 1(8437): 1106-1107.
24.	Fu L, Rocchi L, Hannah R, et al. Corticospinal excitability modulation by pairing peripheral nerve stimulation with cortical states of movement initiation. J Physiol, 2019, 599(9): 2471-2482.
25.	Saliev T, Begimbetova D, Masoud A-R, et al. Biological effects of non-ionizing electromagnetic fields: Two sides of a coin. Prog Biophys Mol Bio, 2019, 141: 25-36.
26.	Hodgkin A L, Huxley A F, Katz B. Measurement of current-voltage relations in the membrane of the giant axon of Loligo. J Physiol, 1952, 116(4): 424-448.
27.	Fox R. Stochastic versions of the Hodgkin-Huxley equations. Biophys J, 1997, 72: 2068-2074.
28.	Schmid G, Goychuk I, Hänggi P. Stochastic resonance as a collective property of ion channel assemblies. Europhys Lett (EPL), 2001, 56(1): 22-28.
29.	Yilmaz E, Ozer M. Delayed feedback and detection of weak periodic signals in a stochastic Hodgkin-Huxley neuron. Physica A, 2015, 421: 455-462.
30.	Hodgkin A L, Keynes R D. The mobility and diffusion coefficient of potassium in giant axons from Sepia. J Physiol, 1953, 119(4): 513-528.
31.	Harris E J. Ionophoresis along frog muscle. J Physiol, 1954, 124(2): 248-253.
32.	Socorro A, Garcia F. Simulation of magnetic field effect on a seed embryo cell. Int Agrophys, 2012, 26(2): 167-173.
33.	Gao Y, Zheng Y, Chen R J, et al. Possible mechanism for effects caused by exposure to extremely low frequency magnetic fields. IEEE T Magn, 2016, 52(12): 5001008.
34.	Newman M, Watts D. Scaling and percolation in the small-world network model. Phys Rev E, 2000, 60: 7332-7342.
35.	Newman M E J, Watts D J. Renormalization group analysis of the small-world network model. Phys Lett A, 1999, 263(4): 341-346.
36.	Zamani A, Novikov N, Gutkin B. Concomitance of Inverse Stochastic Resonance and Stochastic Resonance in a minimal bistable spiking neural circuit. Commun Nonlinear SCI, 2019, 82: 105024.
37.	Hahn G, Ponce-Alvarez A, Deco G, et al. Portraits of communication in neuronal networks. Nat Rev Neurosci, 2019, 20(2): 117-127.
38.	Guo Y, Wang L, Wei F. Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Lévy noise and Gaussian white noise. Chaos Soliton Fract, 2019, 127: 118-126.
39.	Mineeja K K, Ignatius R P. Lévy noise-induced near-death spikes and phase transitions of a biological neural network. Nonlinear Dyn, 2020, 99: 3265-3283.
40.	Liao Z, Ma K, Tang S. Influence of levy noise on subthreshold synchronization of spintronic stochastic neurons. Results Phys, 2021, 27: 104475.
41.	Shi P, Wang Y, Zhang W. Noise-induced synchronization stochastic resonance in Hodgkin–Huxley neurons. Mod Phys Lett B, 2022, 36(23): 2250117.
42.	Ye Z, Yang Y, Jia Y. Inverse stochastic resonance in Izhikevich neural motifs driven by Gaussian colored noise under electromagnetic induction. Int J Mod Phys B, 2023, 37(5): 2350049.

1. Hagmann P, Cammoun L, Gigandet X, et al. Mapping the structural core of human cerebral cortex. PLoS Biology, 2008, 6(7): 1479-1493.
2. Honey C J, Sporns O, Cammoun L, et al. Predicting human resting-state functional connectivity from structural connectivity. PNAS, 2009, 106(6): 2035-2040.
3. Bandyopadhyay A, Kar S. Impact of network structure on synchronization of Hindmarsh-Rose neurons coupled in structured network. Appl Math Comput, 2018, 333: 194-212.
4. Lopes M A, Goltsev A V. Distinct dynamical behavior in Erdos-Renyi networks, regular random networks, ring lattices, and all-to-all neuronal networks. Phys Rev E, 2019, 99(2): 022303.
5. Sun X J, Liu Z F, Perc M. Effects of coupling strength and network topology on signal detection in small-world neuronal networks. Nonlinear Dyn, 2019, 96(3): 2145-2155.
6. Yao Z L, Yang X L, Sun Z K. How synaptic plasticity influences spike synchronization and its transitions in complex neuronal network. Chaos, 2018, 28(8): 9.
7. Baysal V, Sarac Z, Yilmaz E. Chaotic resonance in Hodgkin-Huxley neuron. Nonlinear Dyn, 2019, 97(2): 1275-1285.
8. 曲良辉, 都琳, 曹子露. 化学自突触的电导扰动诱导相干或随机双共振现象. 物理学报, 2020, 69(23): 230501.
9. 李国芳, 孙晓娟. 小世界神经元网络随机共振现象: 混合突触和部分时滞的影响. 物理学报, 2017, 66(24): 16-27.
10. Guo D Q, Perc M, Zhang Y S, et al. Frequency-difference-dependent stochastic resonance in neural systems. Phys Rev E, 2017, 96(2): 6.
11. Yonkeu R M, Yamapi R, Filatrella G, et al. Can Lévy noise induce coherence and stochastic resonances in a birhythmic van der Pol system?. Eur Phys J B, 2020, 93: 144.
12. Tuckwell H, Jost J, Gutkin B. Inhibition and modulation of rhythmic neuronal spiking by noise. Phys Rev E, 2009, 80: 031907.
13. Paydarfar D, Forger D B, Clay J R. Noisy inputs and the induction of on-off switching behavior in a neuronal pacemaker. J Neurophysiol, 2006, 96(6): 3338-3348.
14. Buchi A, Rieublan S, Häusser M, et al. Inverse stochastic resonance in cerebellar Purkinje cells. PLoS Comput Biol, 2016, 12: e1005000.
15. Uzuntarla M, Cressman J, Ozer M, et al. Dynamical structure underlying inverse stochastic resonance and its implications. Phys Rev E, 2013, 88: 042712.
16. Uzuntarla M, Cressman J R, Ozer M, et al. Inverse stochastic resonance induced by ion channel noise. BMC Neurosci, 2012, 13(Suppl 1): P181.
17. Uzuntarla M. Firing dynamics in hybrid coupled populations of bistable neurons. Neurocomputing, 2019, 367: 328-336.
18. Maisel B, Lindenberg K. Channel noise effects on neural synchronization. Physica A, 2020, 552: 12.
19. Uzuntarla M, Barreto E, Torres J. Inverse stochastic resonance in networks of spiking neurons. PLoS Comput Biol, 2017, 13: e1005646.
20. Wu J, Xu Y, Ma J. Levy noise improves the electrical activity in a neuron under electromagnetic radiation. PLoS One, 2017, 12(3): 13.
21. Zhao Y, Li D X. Levy noise-induced inverse stochastic resonance in a single neuron. Mod Phys Lett B, 2019, 33(21): 16.
22. Li D, Song S, Zhang N. Lévy noise-induced inverse stochastic resonance on Newman–Watts networks of Hodgkin–Huxley neurons. Int J Mod Phys B, 2020, 34(19): 2050185.
23. Barker A T, Ri J, Freeston I L. Noninvasive magnetic stimulation of the human motor cortex. Lancet, 1985, 1(8437): 1106-1107.
24. Fu L, Rocchi L, Hannah R, et al. Corticospinal excitability modulation by pairing peripheral nerve stimulation with cortical states of movement initiation. J Physiol, 2019, 599(9): 2471-2482.
25. Saliev T, Begimbetova D, Masoud A-R, et al. Biological effects of non-ionizing electromagnetic fields: Two sides of a coin. Prog Biophys Mol Bio, 2019, 141: 25-36.
26. Hodgkin A L, Huxley A F, Katz B. Measurement of current-voltage relations in the membrane of the giant axon of Loligo. J Physiol, 1952, 116(4): 424-448.
27. Fox R. Stochastic versions of the Hodgkin-Huxley equations. Biophys J, 1997, 72: 2068-2074.
28. Schmid G, Goychuk I, Hänggi P. Stochastic resonance as a collective property of ion channel assemblies. Europhys Lett (EPL), 2001, 56(1): 22-28.
29. Yilmaz E, Ozer M. Delayed feedback and detection of weak periodic signals in a stochastic Hodgkin-Huxley neuron. Physica A, 2015, 421: 455-462.
30. Hodgkin A L, Keynes R D. The mobility and diffusion coefficient of potassium in giant axons from Sepia. J Physiol, 1953, 119(4): 513-528.
31. Harris E J. Ionophoresis along frog muscle. J Physiol, 1954, 124(2): 248-253.
32. Socorro A, Garcia F. Simulation of magnetic field effect on a seed embryo cell. Int Agrophys, 2012, 26(2): 167-173.
33. Gao Y, Zheng Y, Chen R J, et al. Possible mechanism for effects caused by exposure to extremely low frequency magnetic fields. IEEE T Magn, 2016, 52(12): 5001008.
34. Newman M, Watts D. Scaling and percolation in the small-world network model. Phys Rev E, 2000, 60: 7332-7342.
35. Newman M E J, Watts D J. Renormalization group analysis of the small-world network model. Phys Lett A, 1999, 263(4): 341-346.
36. Zamani A, Novikov N, Gutkin B. Concomitance of Inverse Stochastic Resonance and Stochastic Resonance in a minimal bistable spiking neural circuit. Commun Nonlinear SCI, 2019, 82: 105024.
37. Hahn G, Ponce-Alvarez A, Deco G, et al. Portraits of communication in neuronal networks. Nat Rev Neurosci, 2019, 20(2): 117-127.
38. Guo Y, Wang L, Wei F. Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Lévy noise and Gaussian white noise. Chaos Soliton Fract, 2019, 127: 118-126.
39. Mineeja K K, Ignatius R P. Lévy noise-induced near-death spikes and phase transitions of a biological neural network. Nonlinear Dyn, 2020, 99: 3265-3283.
40. Liao Z, Ma K, Tang S. Influence of levy noise on subthreshold synchronization of spintronic stochastic neurons. Results Phys, 2021, 27: 104475.
41. Shi P, Wang Y, Zhang W. Noise-induced synchronization stochastic resonance in Hodgkin–Huxley neurons. Mod Phys Lett B, 2022, 36(23): 2250117.
42. Ye Z, Yang Y, Jia Y. Inverse stochastic resonance in Izhikevich neural motifs driven by Gaussian colored noise under electromagnetic induction. Int J Mod Phys B, 2023, 37(5): 2350049.

Journal of Biomedical Engineering

The inverse stochastic resonance in a small-world neuronal network under electromagnetic stimulation

Abstract Full text Figures/Tables Video References Cited by

Previous Article

Next Article

Format

Content