Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (9): 1287-1302.doi: https://doi.org/10.1007/s10483-020-2644-8

• Articles •     Next Articles

Improving control effects of absence seizures using single-pulse alternately resetting stimulation (SARS) of corticothalamic circuit

Denggui FAN1, Yanhong ZHENG2, Zecheng YANG1, Qingyun WANG3   

  1. 1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;
    2. College of Mathematics and Informatics, Fujian Normal University, Fuzhou 350117, China;
    3. Department of Dynamics and Control, Beihang University, Beijing 100191, China
  • Received:2020-03-13 Revised:2020-05-28 Online:2020-09-01 Published:2020-08-27
  • Contact: Qingyun WANG E-mail:nmqingyun@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Nos. 11702018, 11932003, and 11672074)

Abstract: Presently, we develop a simplified corticothalamic (SCT) model and propose a single-pulse alternately resetting stimulation (SARS) with sequentially applying anodic (A, “+”) or cathodic (C, “-”) phase pulses to the thalamic reticular (RE) nuclei, thalamus-cortex (TC) relay nuclei, and cortical excitatory (EX) neurons, respectively. Abatement effects of ACC-SARS of RE, TC, and EX for the 2 Hz–4 Hz spike and wave discharges (SWD) of absence seizures are then concerned. The m:n on-off ACC-SARS protocol is shown to effectively reduce the SWD with the least current consumption. In particular, when its frequency is out of the 2 Hz–4 Hz SWD dominant rhythm, the desired seizure abatements can be obtained, which can be further improved by our proposed directional steering (DS) stimulation. The dynamical explanations for the SARS induced seizure abatements are lastly given by calculating the averaged mean firing rate (AMFR) of neurons and triggering averaged mean firing rates (TAMFRs) of 2 Hz–4 Hz SWD.

Key words: epileptic absence seizure, spike and wave discharge (SWD), single-pulse alternately resetting stimulation (SARS), mean field model, averaged mean firing rate (AMFR), seizure control

2010 MSC Number: 

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