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A new photosensitive neuron model and its dynamics

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Abstract

Biological neurons can receive inputs and capture a variety of external stimuli, which can be encoded and transmitted as different electric signals. Thus, the membrane potential is adjusted to activate the appropriate firing modes. Indeed, reliable neuron models should take intrinsic biophysical effects and functional encoding into consideration. One fascinating and important question is the physical mechanism for the transcription of external signals. External signals can be transmitted as a transmembrane current or a signal voltage for generating action potentials. We present a photosensitive neuron model to estimate the nonlinear encoding and responses of neurons driven by external optical signals. In the model, a photocell (phototube) is used to activate a simple FitzHugh-Nagumo (FHN) neuron, and then external optical signals (illumination) are imposed to excite the photocell for generating a time-varying current/voltage source. The photocell-coupled FHN neuron can therefore capture and encode external optical signals, similar to artificial eyes. We also present detailed bifurcation analysis for estimating the mode transition and firing pattern selection of neuronal electrical activities. The sampled time series can reproduce the main characteristics of biological neurons (quiescent, spiking, bursting, and even chaotic behaviors) by activating the photocell in the neural circuit. These results could be helpful in giving possible guidance for studying neurodynamics and applying neural circuits to detect optical signals.

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Correspondence to Jun Ma.

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Project supported by the National Natural Science Foundation of China (No. 11672122) and the Hongliu First-Class Disciplines Development Program of Lanzhou University of Technology, China

Contributors

Jun MA designed the research and drafted the manuscript. Yong LIU and Wan-jiang XU processed the data. Faris AL-ZAHRANI and Aatef HOBINY helped organize the manuscript. Jun MA and Yong LIU revised and finalized the paper.

Compliance with ethics guidelines

Yong LIU, Wan-jiang XU, Jun MA, Faris ALZAHRANI, and Aatef HOBINY declare that they have no conflict of interest.

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Liu, Y., Xu, Wj., Ma, J. et al. A new photosensitive neuron model and its dynamics. Front Inform Technol Electron Eng 21, 1387–1396 (2020). https://doi.org/10.1631/FITEE.1900606

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  • DOI: https://doi.org/10.1631/FITEE.1900606

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