Abstract
This paper presents a novel strategy to characterize the mutual interaction between the neural axons. Based on the mutual coupling factor and assumptions about the recording micro-electrode array, the estimated potential is affected by the coupling factor matrix. In other words, the axon-to-axon interaction can be described by the extended membrane potential model with some unknown coupling factors. To identify these factors, entropy analysis is applied with an iterative learning approach using the simulated data. The advantage of this approach is to avoid solving the nonlinear dynamic membrane potential equation. Simulation results indicate the effectiveness and correctness of our interaction model.
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Raspopovic Stanisa, Capogrosso Marco, Petrini Francesco Maria, et al. Restoring natural sensory feedback in real-time bidirectional hand prostheses Science translational medicine. 2014;6:222ra19–222ra19.
Kolbl F., Juan M. C., Sepulveda F.. Impact of the angle of implantation of transverse intrafascicular multichannel electrodes on axon activation in 2016 IEEE Biomedical Circuits and Systems Conference (BioCAS):484-487 2016.
Hodgkin Alan L, Huxley Andrew F. A quantitative description of membrane current and its application to conduction and excitation in nerve The Journal of physiology. 1952;117:500.
Zhang Qichun, Sepulveda Francisco. A Statistical Description of Pairwise Interaction Between the Nerve Fibres in Neural Engineering (NER), 2017 8th International IEEE/EMBS Conference onIEEE 2017, in press.
Gross GW, Rieske E, Kreutzberg GW, Meyer A. A new fixed-array multi-microelectrode system designed for long-term monitoring of extracellular single unit neuronal activity in vitro Neuroscience Letters. 1977;6:101–105.
Ahn Hyo-Sung, Chen YangQuan, Moore Kevin L. Iterative learning control: Brief survey and categorization IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews). 2007;37:1099–1121.
Wang Hong. Minimum entropy control of non-Gaussian dynamic stochastic systems IEEE Transactions on Automatic Control. 2002;47:398–403.
Rattay F. The basic mechanism for the electrical stimulation of the nervous system Neuroscience. 1999;89:335–346.
Cover Thomas M, Thomas Joy A. Elements of information theory. John Wiley & Sons 2012.
Principe Jose C. Information theoretic learning: Rényi’s entropy and kernel perspectives. Springer Science & Business Media 2010.
Zhang Qichun, Zhou Jinglin, Wang Hong, Chai Tianyou. Minimized coupling in probability sense for a class of multivariate dynamic stochastic control systems in 2015 54th IEEE Conference on Decision and Control (CDC):1846–1851IEEE 2015.
Zhang Qichun, Wang Aiping. Decoupling Control in Statistical Sense: Minimized Mutual Information Algorithm International Journal of Advanced Mechatronic Systems. 2016;7:61–70.
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Zhang, Q., Sepulveda, F. (2018). Entropy-based Axon-to-Axon Mutual Interaction Characterization via Iterative Learning Identification. In: Eskola, H., Väisänen, O., Viik, J., Hyttinen, J. (eds) EMBEC & NBC 2017. EMBEC NBC 2017 2017. IFMBE Proceedings, vol 65. Springer, Singapore. https://doi.org/10.1007/978-981-10-5122-7_173
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DOI: https://doi.org/10.1007/978-981-10-5122-7_173
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