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Prediction of hippocampal electric field in time series induced by TI-DMS with temporal convolutional network

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Abstract

Temporal interference deep-brain magnetic stimulation (TI-DMS) induces rhythmic electric field (EF) in the hippocampus to normalize cognitive function. The rhythmic time series of the hippocampal EF is essential for the assessment of TI-DMS. However, the finite element method (FEM) takes several hours to obtain the time series of EF. In order to reduce the time cost, the temporal convolutional network (TCN) model is adopted to predict the time series of hippocampal EF induced by TI-DMS. It takes coil configuration and loaded current as input and predicts the time series of maximum and mean values of the left and right hippocampal EF. The prediction takes only a few seconds. The model parameter combination of kernel size and layers is selected optimally by cross-validation method. The experimental results for multiple subjects show that the R2 of all the time series predicted by the model exceed 0.98. And the prediction accuracy is even higher as the input parameters approach the training set. These results demonstrate that the adopted model can quickly predict the time series of hippocampal EF induced by TI-DMS with relatively high accuracy, which is beneficial for future clinical applications.

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Data used for this paper will be made available on reasonable request.

Notes

  1. http://niremf.ifac.cnr.it/tissprop/

References

  • Afuwape OF, Olafasakin OO, Jiles DC (2021) Neural network model for estimation of the induced electric field during transcranial magnetic stimulation. IEEE Trans Magn 58(2):1–5

    Google Scholar 

  • Bai S, Kolter J Z, Koltun V (2018). An empirical evaluation of generic convolutional and recurrent networks for sequence modeling. arXiv preprint arXiv:1803.01271.

  • Cao J, Grover P (2019) Stimulus: Noninvasive dynamic patterns of neurostimulation using spatio-temporal interference. IEEE Trans Biomed Eng 67(3):726–737

    Article  PubMed  Google Scholar 

  • Dauphin YN, Fan A, Auli M, Grangier D (2017) Language modeling with gated convolutional networks. International Conference on Machine Learning, PMLR 2017:933–941

    Google Scholar 

  • Dolgova N, Wei Z, Spink B et al (2021) Low-field magnetic stimulation accelerates the differentiation of oligodendrocyte precursor cells via non-canonical TGF-β signaling pathways. Mol Neurobiol 58:855–866

    Article  PubMed  CAS  Google Scholar 

  • Du AT, Schuff N, Amend D et al (2001) Magnetic resonance imaging of the entorhinal cortex and hippocampus in mild cognitive impairment and Alzheimer’s disease. J Neurol Neurosurg Psychiatry 71(4):441–447

    Article  PubMed  CAS  Google Scholar 

  • Esmaeilpour Z, Kronberg G, Reato D, Parra LC, Bikson M (2021) Temporal interference stimulation targets deep brain regions by modulating neural oscillations. Brain Stimul 14(1):55–65

    Article  PubMed  Google Scholar 

  • Grossman N, Bono D, Dedic N et al (2017) Noninvasive deep brain stimulation via temporally interfering electric fields. Cell 169(6):1029–1041

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  • Gehring J, Auli M, Grangier D, Dauphin Y N (2016). A convolutional encoder model for neural machine translation. arXiv preprint arXiv:1611.02344.

  • Gomez-Tames J, Laakso I, Hirata A (2020). Review on biophysical modelling and simulation studies for transcranial magnetic stimulation. Phys. Med. & Biol., 65(24): 24TR03

  • Goodfellow I, Bengio Y, Courville A (2016). Deep learning. MIT press.

  • He, K, Zhang X, Ren S, Sun J (2016). Deep residual learning for image recognition. In: Proceedings of the IEEE conference on computer vision and pattern recognition, 770–778.

  • Hutcheon B, Yarom Y (2000) Resonance, oscillation and the intrinsic frequency preferences of neurons. Trends Neurosci 23(5):216–222

    Article  PubMed  CAS  Google Scholar 

  • Kalchbrenner N, Espeholt L, Simonyan K, Oord A V D, Graves A, Kavukcuoglu K (2016). Neural machine translation in linear time. arXiv preprint arXiv: 1610.10099.

  • Li H, Deng ZD, Oathes D, Fan Y (2022) Computation of transcranial magnetic stimulation electric fields using self-supervised deep learning. Neuroimage 264:119705

    Article  PubMed  Google Scholar 

  • Limouni T, Yaagoubi R, Bouziane K, Guissi K, Baali EH (2023) Accurate one step and multistep forecasting of very short-term PV power using LSTM-TCN model. Renewable Energy 205:1010–1024

    Article  Google Scholar 

  • Lin M, Chen Q, Yan S (2013). Network in network. arXiv preprint arXiv: 1312.4400.

  • Ni S, Jia P, Xu Y, Zeng L, Li X, Xu M (2023) Prediction of CO concentration in different conditions based on Gaussian-TCN. Sens Actuators, B Chem 376:133010

    Article  CAS  Google Scholar 

  • Opitz A, Legon W, Rowlands A, Bickel WK, Paulus W, Tyler WJ (2013) Physiological observations validate finite element models for estimating subject-specific electric field distributions induced by transcranial magnetic stimulation of the human motor cortex. Neuroimage 81:253–264

    Article  PubMed  Google Scholar 

  • Ren Y, Wang S, Xia B (2023) Deep learning coupled model based on TCN-LSTM for particulate matter concentration prediction. Atmos Pollut Res 14(4):101703

    Article  CAS  Google Scholar 

  • Sathi KA, Hossain MA, Hosain MK, Hai NH, Hossain MA (2021) A deep neural network model for predicting electric fields induced by transcranial magnetic stimulation coil. IEEE Access 9:128381–128392

    Article  Google Scholar 

  • Saturnino GB, Madsen KH, Thielscher A (2019) Electric field simulations for transcranial brain stimulation using FEM: an efficient implementation and error analysis. J Neural Eng 16(6):066032

    Article  PubMed  Google Scholar 

  • Sekar S, Zhang Y, Miranzadeh Mahabadi H, Parvizi A, Taghibiglou C (2019) Low-field magnetic stimulation restores cognitive and motor functions in the mouse model of repeated traumatic brain injury: role of cellular prion protein. J Neurotrauma 36(22):3103–3114

    Article  PubMed  Google Scholar 

  • Sharma R, Sircar P, Pachori R B (2020). Automated seizure classification using deep neural network based on autoencoder. Handbook of research on advancements of artificial intelligence in healthcare engineering. IGI Global, 1–19.

  • Sorkhabi M M, Wendt K, Denison T (2020). Temporally interfering TMS: focal and dynamic stimulation location. In: 2020 42nd Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC) pp 3537–3543

  • Sun Z, Jiang T, Wu Y, Ma C, He Y, Yang J (2018) Low field magnetic stimulation ameliorates schizophrenia-like behavior and up-regulates neuregulin-1 expression in a mouse model of cuprizone-induced demyelination. Front Psych 9:675

    Article  Google Scholar 

  • Wang Z, Baharani A, Wei Z et al (2021) Low field magnetic stimulation promotes myelin repair and cognitive recovery in chronic cuprizone mouse model. Clin Exp Pharmacol Physiol 48(8):1090–1102

    Article  PubMed  CAS  Google Scholar 

  • Wang B, Aberra AS, Grill WM, Peterchev AV (2023) Responses of model cortical neurons to temporal interference stimulation and related transcranial alternating current stimulation modalities. J Neural Eng 19(6):066047

    Article  Google Scholar 

  • Xiao L, Correll CU, Feng L et al (2019) Rhythmic low-field magnetic stimulation may improve depression by increasing brain-derived neurotrophic factor. CNS Spectr 24(3):313–321

    Article  PubMed  Google Scholar 

  • Xin Z, Kuwahata A, Liu S, Sekino M (2021) Magnetically induced temporal interference for focal and deep-brain stimulation. Front Hum Neurosci 15:693207

    Article  PubMed  PubMed Central  Google Scholar 

  • Xu X, Deng B, Wang J, Yi G (2022). Analysis of Electric Field in Hippocampus Induced by Temporal Interference Deep-brain Magnetic Stimulation (TI-DMS). In: 2022 41st Chinese Control Conference (CCC), IEEE, pp 5956–5961.

  • Xu X, Deng B, Wang J, Yi G (2023). Effect of stimulation frequency on hippocampal electric field induced by deep-brain magnetic stimulation. AIP Advances, 13(1).

  • Yokota T, Maki T, Nagata T et al (2019) Real-time estimation of electric fields induced by transcranial magnetic stimulation with deep neural networks. Brain Stimul 12(6):1500–1507

    Article  PubMed  Google Scholar 

  • Zaeimbashi M, Khalifa A, Dong C, Wei Y, Cash S, Sun N (2020). Magnetic temporal interference for noninvasive, high-resolution, and localized deep brain stimulation: Concept validation. bioRxiv, 2020–07.

  • Zhang Y, Mao RR, Chen ZF et al (2014) Deep-brain magnetic stimulation promotes adult hippocampal neurogenesis and alleviates stress-related behaviors in mouse models for neuropsychiatric disorders. Mol Brain 7:1–14

    Article  Google Scholar 

  • Zhang L, Na J, Zhu J, Shi Z, Zou C, Yang L (2021). Spatiotemporal causal convolutional network for forecasting hourly PM2. 5 concentrations in Beijing, China. Comput. & Geosci., 155, 104869.

  • Zhen J, Qian Y, Weng X, Su W et al (2017a) Gamma rhythm low field magnetic stimulation alleviates neuropathologic changes and rescues memory and cognitive impairments in a mouse model of Alzheimer’s disease. Alzheimer’s & Dementia: Translational Research & Clinical Interventions 3(4):487–497

    Article  Google Scholar 

  • Zhen J, Qian Y, Fu J et al (2017b) Deep brain magnetic stimulation promotes neurogenesis and restores cholinergic activity in a transgenic mouse model of Alzheimer’s disease. Frontiers in Neural Circuits 11:48

    Article  ADS  PubMed  PubMed Central  Google Scholar 

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Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 62171311, and in part by the National Natural Science Foundation of China under Grant 62071324.

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Correspondence to Guosheng Yi.

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Xu, X., Deng, B., Wang, J. et al. Prediction of hippocampal electric field in time series induced by TI-DMS with temporal convolutional network. Cogn Neurodyn (2024). https://doi.org/10.1007/s11571-024-10067-3

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