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Erschienen in: Cognitive Neurodynamics 2/2023

07.06.2022 | Research Article

Nonlinear dynamical modeling of neural activity using volterra series with GA-enhanced particle swarm optimization algorithm

verfasst von: Siyuan Chang, Jiang Wang, Yulin Zhu, Xile Wei, Bin Deng, Huiyan Li, Chen Liu

Erschienen in: Cognitive Neurodynamics | Ausgabe 2/2023

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Abstract

In order to improve the modeling performance of Volterra sequence for nonlinear neural activity, in this paper, a new optimization algorithm is proposed to identify Volterra sequence parameters. Algorithm combines the advantages of particle swarm optimization (PSO) and genetic algorithm (GA) improve the performance of the identification of nonlinear model parameters from rapidity and accuracy. In the modeling experiments of neural signal data generated by the neural computing model and clinical neural data set in this paper, the proposed algorithm shows its excellent potential in nonlinear neural activity modeling. Compared with PSO and GA, the algorithm can achieve less identification error, and better balance the convergence speed and identification error. Further, we explore the influence of algorithm parameters on identification efficiency, which provides possible guiding significance for parameter setting in practical application of the algorithm.

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Literatur
Zurück zum Zitat Abbas HM, Bayoumi MM (2004) Volterra system identification using adaptive genetic algorithms. Appl Soft Comput 5:75–86CrossRef Abbas HM, Bayoumi MM (2004) Volterra system identification using adaptive genetic algorithms. Appl Soft Comput 5:75–86CrossRef
Zurück zum Zitat Abbas HM, Bayoumi MM (2006) Volterra-system identification using adaptive real-coded genetic algorithm. IEEE Trans Syst Man Cybern Paart A-Syst Hum 36:671–684CrossRef Abbas HM, Bayoumi MM (2006) Volterra-system identification using adaptive real-coded genetic algorithm. IEEE Trans Syst Man Cybern Paart A-Syst Hum 36:671–684CrossRef
Zurück zum Zitat Abbaspourazad H, Hsieh H-L, Shanechi MM (2019) A multiscale dynamical modeling and identification framework for spike-field activity. IEEE Trans Neural Syst Rehabil Eng 27:1128–1138CrossRefPubMed Abbaspourazad H, Hsieh H-L, Shanechi MM (2019) A multiscale dynamical modeling and identification framework for spike-field activity. IEEE Trans Neural Syst Rehabil Eng 27:1128–1138CrossRefPubMed
Zurück zum Zitat Altun AA (2013) A combination of genetic algorithm, particle swarm optimization and neural network for palmprint recognition. Neural Comput & Applic 22:27–33CrossRef Altun AA (2013) A combination of genetic algorithm, particle swarm optimization and neural network for palmprint recognition. Neural Comput & Applic 22:27–33CrossRef
Zurück zum Zitat Baker CTH (2000) A perspective on the numerical treatment of Volterra equations. J Comput Appl Math 125:217–249CrossRef Baker CTH (2000) A perspective on the numerical treatment of Volterra equations. J Comput Appl Math 125:217–249CrossRef
Zurück zum Zitat Benuwa B-B, Ghansah B, Wornyo DK, Adabunu SA (2016) A comprehensive review of particle swarm optimization. Int J Eng Res Afr 23:141–161CrossRef Benuwa B-B, Ghansah B, Wornyo DK, Adabunu SA (2016) A comprehensive review of particle swarm optimization. Int J Eng Res Afr 23:141–161CrossRef
Zurück zum Zitat Berger TW, Song D, Chan RHM, Marmarelis VZ, LaCoss J, Wills J, Hampson RE, Deadwyler SA, Granacki JJ (2012) A hippocampal cognitive prosthesis: multi-input, multi-output nonlinear modeling and VLSI implementation. IEEE Trans Neural Syst Rehabil Eng 20:198–211CrossRefPubMedPubMedCentral Berger TW, Song D, Chan RHM, Marmarelis VZ, LaCoss J, Wills J, Hampson RE, Deadwyler SA, Granacki JJ (2012) A hippocampal cognitive prosthesis: multi-input, multi-output nonlinear modeling and VLSI implementation. IEEE Trans Neural Syst Rehabil Eng 20:198–211CrossRefPubMedPubMedCentral
Zurück zum Zitat Chakravarthy VS, Moustafa AA (2018) Computational neuroscience models of the basal ganglia. Springer Singapore, SingaporeCrossRef Chakravarthy VS, Moustafa AA (2018) Computational neuroscience models of the basal ganglia. Springer Singapore, SingaporeCrossRef
Zurück zum Zitat Chang S, Wei X, Su F, Liu C, Yi G, Wang J, Han C, Che Y (2020) Model predictive control for seizure suppression based on nonlinear auto-regressive moving-average volterra model. IEEE Trans Neural Syst Rehabil Eng 28:2173–2183CrossRefPubMed Chang S, Wei X, Su F, Liu C, Yi G, Wang J, Han C, Che Y (2020) Model predictive control for seizure suppression based on nonlinear auto-regressive moving-average volterra model. IEEE Trans Neural Syst Rehabil Eng 28:2173–2183CrossRefPubMed
Zurück zum Zitat de Paula NCG, Marques FD (2019) Multi-variable volterra kernels identification using time-delay neural networks: application to unsteady aerodynamic loading. Nonlinear Dyn 97:767–780CrossRef de Paula NCG, Marques FD (2019) Multi-variable volterra kernels identification using time-delay neural networks: application to unsteady aerodynamic loading. Nonlinear Dyn 97:767–780CrossRef
Zurück zum Zitat Du M, Li J, Ying W, Yu Y (2022) A dynamics model of neuron-astrocyte network accounting for febrile seizures. Cogn. Neurodynamics Du M, Li J, Ying W, Yu Y (2022) A dynamics model of neuron-astrocyte network accounting for febrile seizures. Cogn. Neurodynamics
Zurück zum Zitat Eikenberry SE, Marmarelis VZ (2013) A nonlinear autoregressive Volterra model of the Hodgkin-Huxley equations. J Comput Neurosci 34:163–183CrossRefPubMed Eikenberry SE, Marmarelis VZ (2013) A nonlinear autoregressive Volterra model of the Hodgkin-Huxley equations. J Comput Neurosci 34:163–183CrossRefPubMed
Zurück zum Zitat Fei Su, Kumaravelu K, Wang J, Warren M (2019) Grill model-based evaluation of closed-loop deep brain stimulation controller to adapt to dynamic changes in reference signal. Front Neurosci 13:956CrossRef Fei Su, Kumaravelu K, Wang J, Warren M (2019) Grill model-based evaluation of closed-loop deep brain stimulation controller to adapt to dynamic changes in reference signal. Front Neurosci 13:956CrossRef
Zurück zum Zitat Friston KJ (2001) Brain function, nonlinear coupling, and neuronal transients. Neuroscientist 7:406–418CrossRefPubMed Friston KJ (2001) Brain function, nonlinear coupling, and neuronal transients. Neuroscientist 7:406–418CrossRefPubMed
Zurück zum Zitat Goldberger AL, Amaral LA, Glass L, Hausdorff JM, Ivanov PC, Mark RG, Mietus JE, Moody GB, Peng CK, Stanley HE (2000) PhysioBank, physiotoolkit, and physionet: components of a new research resource for complex physiologic signals. Circulation 101:215–220CrossRef Goldberger AL, Amaral LA, Glass L, Hausdorff JM, Ivanov PC, Mark RG, Mietus JE, Moody GB, Peng CK, Stanley HE (2000) PhysioBank, physiotoolkit, and physionet: components of a new research resource for complex physiologic signals. Circulation 101:215–220CrossRef
Zurück zum Zitat Gong Y-J, Li J-J, Zhou Y, Li Y, Chung HS-H, Shi Y-H, Zhang J (2016) Genetic learning particle swarm optimization. IEEE t Cybern 46:2277–2290CrossRef Gong Y-J, Li J-J, Zhou Y, Li Y, Chung HS-H, Shi Y-H, Zhang J (2016) Genetic learning particle swarm optimization. IEEE t Cybern 46:2277–2290CrossRef
Zurück zum Zitat He F, Yang Y (2021) Nonlinear system identification of neural systems from neurophysiological signals. Neuroscience 458:213–228CrossRefPubMed He F, Yang Y (2021) Nonlinear system identification of neural systems from neurophysiological signals. Neuroscience 458:213–228CrossRefPubMed
Zurück zum Zitat Hu B, Wang Z, Xu M, Zhang D, Wang D (2022) The adjustment mechanism of the spike and wave discharges in thalamic neurons: a simulation analysis. Cogn. Neurodynamics Hu B, Wang Z, Xu M, Zhang D, Wang D (2022) The adjustment mechanism of the spike and wave discharges in thalamic neurons: a simulation analysis. Cogn. Neurodynamics
Zurück zum Zitat Jordehi AR (2014) Particle swarm optimisation for dynamic optimisation problems: a review. Neural Comput Appl 25:1507–1516CrossRef Jordehi AR (2014) Particle swarm optimisation for dynamic optimisation problems: a review. Neural Comput Appl 25:1507–1516CrossRef
Zurück zum Zitat Lind R, Prazenica RJ, Brenner MJ (2013) Estimating nonlinearity using volterra kernels in feedback with linear models. Nonlinear Dyn 39(1–2):3–23 Lind R, Prazenica RJ, Brenner MJ (2013) Estimating nonlinearity using volterra kernels in feedback with linear models. Nonlinear Dyn 39(1–2):3–23
Zurück zum Zitat Liu C, Wang J, Li H, Lu M, Deng B, Yu H, Wei X, Fietkiewicz C, Loparo KA (2017) Closed-Loop Modulation of the Pathological Disorders of the Basal Ganglia Network. IEEE Tran Neural Net Learn Syst 28:371–382CrossRef Liu C, Wang J, Li H, Lu M, Deng B, Yu H, Wei X, Fietkiewicz C, Loparo KA (2017) Closed-Loop Modulation of the Pathological Disorders of the Basal Ganglia Network. IEEE Tran Neural Net Learn Syst 28:371–382CrossRef
Zurück zum Zitat Meruelo AC, Simpson DM, Veres SM, Newland PL (2016) Improved system identification using artificial neural networks and analysis of individual differences in responses of an identified neuron. Neural Netw 75:56–65CrossRef Meruelo AC, Simpson DM, Veres SM, Newland PL (2016) Improved system identification using artificial neural networks and analysis of individual differences in responses of an identified neuron. Neural Netw 75:56–65CrossRef
Zurück zum Zitat Millard DC, Wang Q, Gollnick CA, Stanley GB (2013) System identification of the nonlinear dynamics in the thalamocortical circuit in response to patterned thalamic microstimulation in vivo. J Neural Eng 10:066011CrossRefPubMedPubMedCentral Millard DC, Wang Q, Gollnick CA, Stanley GB (2013) System identification of the nonlinear dynamics in the thalamocortical circuit in response to patterned thalamic microstimulation in vivo. J Neural Eng 10:066011CrossRefPubMedPubMedCentral
Zurück zum Zitat Quaranta G, Lacarbonara W, Masri SF (2020) A review on computational intelligence for identification of nonlinear dynamical systems. Nonlinear Dyn 99:1709–1761CrossRef Quaranta G, Lacarbonara W, Masri SF (2020) A review on computational intelligence for identification of nonlinear dynamical systems. Nonlinear Dyn 99:1709–1761CrossRef
Zurück zum Zitat Silva W (2005) Identification of nonlinear aeroelastic systems based on the volterra theory: progress and opportunities. Nonlinear Dyn 39:25–62CrossRef Silva W (2005) Identification of nonlinear aeroelastic systems based on the volterra theory: progress and opportunities. Nonlinear Dyn 39:25–62CrossRef
Zurück zum Zitat Song D, Chan RHM, Marmarelis VZ, Hampson RE, Deadwyler SA, Berger TW (2007) Nonlinear dynamic modeling of spike train transformations for hippocampal-cortical prostheses. IEEE Trans Biomed Eng 54:1053–1066CrossRefPubMed Song D, Chan RHM, Marmarelis VZ, Hampson RE, Deadwyler SA, Berger TW (2007) Nonlinear dynamic modeling of spike train transformations for hippocampal-cortical prostheses. IEEE Trans Biomed Eng 54:1053–1066CrossRefPubMed
Zurück zum Zitat Stanley GB (2003) Neural System Identification. Springer, US Stanley GB (2003) Neural System Identification. Springer, US
Zurück zum Zitat Stefanescu RA, Shivakeshavan RG, Talathi SS (2012) Computational models of epilepsy. Seizure-Eur J Epilepsy 21:748–759CrossRef Stefanescu RA, Shivakeshavan RG, Talathi SS (2012) Computational models of epilepsy. Seizure-Eur J Epilepsy 21:748–759CrossRef
Zurück zum Zitat Su F, Wang J, Niu S, Li H, Deng B, Liu C, Wei X (2018) Nonlinear predictive control for adaptive adjustments of deep brain stimulation parameters in basal ganglia–thalamic network. Neural Netw 98:283–295CrossRefPubMed Su F, Wang J, Niu S, Li H, Deng B, Liu C, Wei X (2018) Nonlinear predictive control for adaptive adjustments of deep brain stimulation parameters in basal ganglia–thalamic network. Neural Netw 98:283–295CrossRefPubMed
Zurück zum Zitat Tian R, Yang Y, van der Helm FCT, Dewald JPA (2018) Novel Approach for modeling neural responses to joint perturbations using the NARMAX method and a hierarchical neural network. Front Comput Neurosci 12:96CrossRefPubMedPubMedCentral Tian R, Yang Y, van der Helm FCT, Dewald JPA (2018) Novel Approach for modeling neural responses to joint perturbations using the NARMAX method and a hierarchical neural network. Front Comput Neurosci 12:96CrossRefPubMedPubMedCentral
Zurück zum Zitat Vlaar MP, Birpoutsoukis G, Lataire J, Schoukens M, Schouten AC, Schoukens J, van der Helm FCT (2018) Modeling the nonlinear cortical response in EEG evoked by wrist joint manipulation. IEEE Trans Neural Syst Rehabil Eng 26:205–215CrossRefPubMed Vlaar MP, Birpoutsoukis G, Lataire J, Schoukens M, Schouten AC, Schoukens J, van der Helm FCT (2018) Modeling the nonlinear cortical response in EEG evoked by wrist joint manipulation. IEEE Trans Neural Syst Rehabil Eng 26:205–215CrossRefPubMed
Zurück zum Zitat Wang H, Li Y, Long J, Yu T, Gu Z (2014) An asynchronous wheelchair control by hybrid EEG-EOG brain-computer interface. Cogn Neurodynamics 8:399–409CrossRef Wang H, Li Y, Long J, Yu T, Gu Z (2014) An asynchronous wheelchair control by hybrid EEG-EOG brain-computer interface. Cogn Neurodynamics 8:399–409CrossRef
Zurück zum Zitat Wendling F (2008) Computational models of epileptic activity: a bridge between observation and pathophysiological interpretation. Expert Rev Neurother 8:889–896CrossRefPubMedPubMedCentral Wendling F (2008) Computational models of epileptic activity: a bridge between observation and pathophysiological interpretation. Expert Rev Neurother 8:889–896CrossRefPubMedPubMedCentral
Zurück zum Zitat Wendling F, Bellanger JJ, Bartolomei F, Chauvel P (2000) Relevance of nonlinear lumped-parameter models in the analysis of depth-EEG epileptic signals. Biol Cybern 83:367–378CrossRefPubMed Wendling F, Bellanger JJ, Bartolomei F, Chauvel P (2000) Relevance of nonlinear lumped-parameter models in the analysis of depth-EEG epileptic signals. Biol Cybern 83:367–378CrossRefPubMed
Zurück zum Zitat Xia X, Zhou J, Xiao J, Xiao H (2016) A novel identification method of Volterra series in rotor-bearing system for fault diagnosis. Mech Syst Signal Proc 66–67:557–567CrossRef Xia X, Zhou J, Xiao J, Xiao H (2016) A novel identification method of Volterra series in rotor-bearing system for fault diagnosis. Mech Syst Signal Proc 66–67:557–567CrossRef
Zurück zum Zitat Xu L, Xu M, Jung T-P, Ming D (2021) Review of brain encoding and decoding mechanisms for EEG-based brain-computer interface. Cogn Neurodynamics 15:569–584CrossRef Xu L, Xu M, Jung T-P, Ming D (2021) Review of brain encoding and decoding mechanisms for EEG-based brain-computer interface. Cogn Neurodynamics 15:569–584CrossRef
Zurück zum Zitat Yang YS, Chang WD, Liao TL (2012) Volterra system-based neural network modeling by particle swarm optimization approach. Neurocomputing 82:179–185CrossRef Yang YS, Chang WD, Liao TL (2012) Volterra system-based neural network modeling by particle swarm optimization approach. Neurocomputing 82:179–185CrossRef
Zurück zum Zitat Yang Y, Sani OG, Chang EF, Shanechi MM (2019) Dynamic network modeling and dimensionality reduction for human ECoG activity. J Neural Eng 16:056014CrossRefPubMed Yang Y, Sani OG, Chang EF, Shanechi MM (2019) Dynamic network modeling and dimensionality reduction for human ECoG activity. J Neural Eng 16:056014CrossRefPubMed
Zurück zum Zitat Yu Y, Han F, Wang Q, Wang Q (2022) Model-based optogenetic stimulation to regulate beta oscillations in Parkinsonian neural networks. Cogn. Neurodynamics Yu Y, Han F, Wang Q, Wang Q (2022) Model-based optogenetic stimulation to regulate beta oscillations in Parkinsonian neural networks. Cogn. Neurodynamics
Metadaten
Titel
Nonlinear dynamical modeling of neural activity using volterra series with GA-enhanced particle swarm optimization algorithm
verfasst von
Siyuan Chang
Jiang Wang
Yulin Zhu
Xile Wei
Bin Deng
Huiyan Li
Chen Liu
Publikationsdatum
07.06.2022
Verlag
Springer Netherlands
Erschienen in
Cognitive Neurodynamics / Ausgabe 2/2023
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-022-09822-1

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