Abstract
Neurons can exhibit abundant electrical activities due to physical effects of various electrophysiology environments. The electromagnetic induction flows can be triggered by changes in neuron membrane potential, which can be equivalent to a memristor applying on membrane potential. To imitate the electromagnetic induction effects, we propose a three-variable memristor-based Wilson neuron model. Using several kinetic analysis methods, the memristor parameter- and initial condition-related electrical activities are explored intensively. It is revealed that the memristive Wilson neuron model can display rich electrical activities, including the asymmetric coexisting electrical activities and antimonotonicity phenomenon. Finally, using off-the-shelf discrete components, an analog circuit on a hardware level is implemented to verify the numerically simulated coexisting electrical activities. Studying these rich electrical activities in neurons can build the groundwork to widen the neuron-based engineering applications.









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Acknowledgements
We are very grateful for the valuable comments from the anonymous referees. This work was supported by the grants from the National Natural Science Foundation of China under Grant Nos. 12172066, 61801054, and 51777016, the Natural Science Foundation of Jiangsu Province, China under Grant Nos. BK20160282 and BK20191451, and the Postgraduate Research and Practice Innovation Program of Jiangsu Province, China under Grant No. KYCX20_2547.
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Xu, Q., Ju, Z., Ding, S. et al. Electromagnetic induction effects on electrical activity within a memristive Wilson neuron model. Cogn Neurodyn 16, 1221–1231 (2022). https://doi.org/10.1007/s11571-021-09764-0
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DOI: https://doi.org/10.1007/s11571-021-09764-0