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    A simple one-dimensional map-based model of spiking neurons with wide ranges of firing rates and complexities

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    Paper.pdf (1.962Mb)
    Date
    2022-04-21
    Author
    Alireza, Bahramian
    Ramadoss, Janarthanan
    Nazarimehr, Fahimeh
    Rajagopal, Karthikeyan
    Jafari, Sajad
    Hussain, Iqtadar
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    Abstract
    This paper introduces a simple 1-dimensional map-based model of spiking neurons. During the past decades, dynamical models of neurons have been used to investigate the biology of human nervous systems. The models simulate experimental records of neurons’ voltages using difference or differential equations. Difference neuronal models have some advantages besides the differential ones. They are usually simpler, and considering the cost of needed computations, they are more efficient. In this paper, a simple 1-dimensional map-based model of spiking neurons is introduced. Sample entropy is applied to analyze the complexity of the model’s dynamics. The model can generate a wide range of time series with different firing rates and different levels of complexities. Besides, using some tools like bifurcation diagrams and cobwebs, the introduced model is analyzed.
    URI
    https://www.sciencedirect.com/science/article/pii/S0022519322000601
    DOI/handle
    http://dx.doi.org/10.1016/j.jtbi.2022.111062
    http://hdl.handle.net/10576/31646
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    • Mathematics, Statistics & Physics [‎789‎ items ]

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