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Control and analysis of epilepsy waveforms in a disinhibition model of cortex network

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Abstract

Considering the disinhibition circuit between inhibitory neuronal populations with different time scales in cortical neural networks, here we propose a novel model to describe the occurrences and transitions of epilepsy waveforms. With the model we can successfully simulate poly-spike complexes, which are common in electrophysiological experiments and focal epilepsy patients. Meanwhile, we focus on the dynamic transitions between epilepsy waveforms and normal state and are devoted to exploring effective electrical stimulation strategies. Results show that disinhibition can induce an epileptic bidirectional transition, which is from spike and wave discharges, to poly-spike complexes and then to low-voltage rapid discharge activity, or it is reversed. And fascinating dynamical transition behaviors can be induced by varying average inhibitory synaptic gain. Interestingly, after applying two different control signals (deep brain stimulation and oscillatory input) to the system, all epilepsy waveforms can be suppressed or even eliminated. Results shed light on the pathophysiological mechanisms of epilepsy and guide clinical treatment from a theoretical viewpoint.

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Acknowledgements

The authors thank the reviewer for their careful reading and suggestions. The research was supported by the National Natural Science Foundation of China (Nos. 11872304, 11972292) and Postdoctoral Research Foundation of China (No. 2017M623233).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an, 710072, Shaanxi, China

    Zhuan Shen, Lin Du, Honghui Zhang & Luyao Yan

  2. School of Aeronautics, Northwestern Polytechnical University, Xi’an, 710072, Shaanxi, China

    Zichen Deng

  3. Department of Mathematics, Kennesaw State University, Marietta, GA, 30060, USA

    Pengcheng Xiao

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  1. Zhuan Shen
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Contributions

ZS and HZ conceived of the presented idea. ZS developed the theory, performed the numerical modelings and took the lead in writing the manuscript. HZ provided modeling ideas. ZD gave innovation guidance. LD, LY and PX helped to verify the results and give constructive suggestions. All authors discussed the results and contributed to this research.

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Correspondence to Honghui Zhang.

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Shen, Z., Deng, Z., Du, L. et al. Control and analysis of epilepsy waveforms in a disinhibition model of cortex network. Nonlinear Dyn 103, 2063–2079 (2021). https://doi.org/10.1007/s11071-020-06131-2

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