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Uncertainty quantification and sensitivity analysis of a hippocampal CA3 pyramidal neuron model under electromagnetic induction

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Abstract

Due to the huge storage capacity and complex nonlinearity associated with the memristor or memory resistor, various modified single-compartment neuron models with a flux controlled memristor for exploring the influence of electromagnetic induction on dynamical response, including spiking patterns, have been presented. This paper generalizes the relevant investigation of the electrophysiology of a hippocampal CA3 pyramidal neuron by an electromagnetic induction-based variant of the two-compartment Pinsky–Rinzel neuron model. Our emphasis was on the uncertainty quantification and sensitivity analysis of ionic channel conductivities under the electromagnetic induction effect when the two-compartment model is near the Hopf bifurcation point. It was found that the quantities of interest (QoI), such as average interspike interval and spike frequency, mainly depend on the conductivities of calcium and calcium-activated potassium channels and their mutual interactions within a periodic bursting electrical mode. In the case of the aperiodic bursting electrical mode, these QoIs are most sensitive to the conductivities of potassium delayed rectifier, calcium, calcium-activated potassium channels, and their mutual interactions. Our computational results demonstrate that the electrical activities of the hippocampal CA3 pyramidal neuron model under the influence of magnetic flux are sensitive to the transition between complex periodic and aperiodic bursting electrical modes.

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Data availability statement

The data used to generate the numerical results of the current work are available from the corresponding author on request.

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Acknowledgements

The first author acknowledges the Ministry of Education of the People’s Republic of China for its generous support of the China Scholarship Council (CSC) as well as the computational resources provided by the Research Center for Augmented Intelligence at Zhejiang Laboratory in Hangzhou, China.

Funding

This research is financially supported by the National Natural Science Foundation of China (Grant No. 12172268).

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  1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, China

    Muhammad Bilal Ghori & Yanmei Kang

  2. Research Center for Augmented Intelligence, Research Institute of Artificial Intelligence, Zhejiang Lab, Hangzhou, 311100, China

    Muhammad Bilal Ghori

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M. B. Ghori proposed the research plan, designed simulations, analyzed results, and drafted the manuscript. Y. Kang supervised and sponsored the research.

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Correspondence to Yanmei Kang.

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Ghori, M.B., Kang, Y. Uncertainty quantification and sensitivity analysis of a hippocampal CA3 pyramidal neuron model under electromagnetic induction. Nonlinear Dyn 111, 13457–13479 (2023). https://doi.org/10.1007/s11071-023-08514-7

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