In this paper, based on the coupled 2-compartment thalamocortical network model, we applied pulse stimulation in PY and IN of the first compartment to investigate how the brain stimulation parameters, including the period, duration of positive input and amplitude, suppress epileptic seizure under certain conditions. The results indicate that epileptic seizures can be effectively controlled when stimulation parameters are set in a proper range. In particular, the increasing amplitude of stimulus can make the epileptic seizures easily terminate at shorter period and lower duration of positive input. To sum up, we highlight the effect of two coupling strengths between two coupled compartments and the stimulating efficacy of various stimulation parameters on controlling epileptic seizures. 

Ying Cao. The model-based study of stimulation parameter effects in controlling epileptic seizures. Academic Journal of Mathematical Sciences (2025) Vol. 6, Issue 1: 51-57. https://doi.org/10.25236/AJMS.2025.060106.

[1] Theodorea WH, Fisherb RS (2004) Brain stimulation for epilepsy. Lancet Neurol 3(2): 111-118

[2] Morrell MJ (2011) Responsive cortical stimulation for the treatment of medically intractable partial epilepsy. Neurology 77(13): 1295–304

[3] Sheng-Fu Liang, Fu-Zen Shaw, Chung-Ping Young, Da-Wei Chang, Yi-Cheng Liao (2010) A closed-loop brain computer interface for real-time seizure detection and control. 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology page: 4950-4953

[4] Sheng-Fu Liang, Fu-Zen Shaw, Da-Wei Chang, Chung-Ping Young, Yu Lin Wang, Sih Yen Wu (2012) Live demonstration: A portable closed-loop seizure controller in freely moving rats. 2012 IEEE Biomedical Circuits and Systems Conference page: 88

[5] Saillet S, Gharbi S, Charvet G, Deransart C, Guillemaud R, Depaulis A, David O (2013) Neural adaptation to responsive stimulation: A comparison of auditory and deep brain stimulation in a rat model of absence epilepsy. Brain Stimulation 6(3): 241-247

[6] Suffczynski P, Kalitzin S, Lopes Da Silva FH (2004) Dynamics of non-convulsive epileptic phenomena modeled by a bistable neuronal network. Neuroscience 126(2): 467-484 

[7] Taylor PN, Wang Y, Goodfellow M, Dauwel J, Moeller F, Stephani U, Baier G (2014) A computational study of stimulus driven epileptic seizure abatement. PLoS ONE 9(12):  e114316

[8] Taylor PN, Jijju T, Nishant S, Dauwels J, Kaiser M, Thesen T, Ruths J (2015) Optimal control based seizure abatement using patient derived connectivity. Front. Neurosci 9: 202

[9] Fan D, Liao F, Wang Q (2017a) The pacemaker role of thalamic reticular nucleus in controlling spike-wave discharges and spindles. Chaos 27(7): 331-343

[10] Fan D, Wang Q (2020) Closed-loop control of absence seizures inspired by feedback modulation of basal ganglia to the corticothalamic circuit. IEEE Transactions on Neural Systems and Rehabilitation Engineering,28:581-590

[11] Arrais M, Modolo J, Mogul D, et al. 2021. Design of optimal multi-site brain stimulation protocols via nerto-inspired epilepsy models for abatement of interictal discharges. Journal of Neural Engineering,18:016024

[12] Hu B, Wang Q (2015) Controlling absence seizures by deep brain stimulus applied on substantia nigra pars reticulata and cortex. Chaos Solitons Fractals 80: 13–23

[13] Hu B, Chen S, Chi H, Chen J, Yuan P, Lai H, Dong W (2017). Controlling absence seizures by tuning activation level of the thalamus and striatum. Chaos Solitons and Fractals 95: 65-76

[14] Wang Z, Wang Q (2017b) Eliminating Absence Seizures through the Deep Brain Stimulation to Thalamus Reticular Nucleus. Front. Comput. Neurosci. 11: 22

[15] Sohanian Haghighi H, Markazi AHD (2017) A new description of epileptic seizures based on dynamic analysis of a thalamocortical model. Scientific Reports 7(1): 13615

[16] Mina F, Benquet P, Pasnicu A, Wendling F (2013) Modulation of epileptic activity by deep brain stimulation: a model-based study of frequency-dependent effects. Front. Comput. Neurosci. 7

[17] Wang ZH, Wang QY (2017a) Effect of the coordinated reset stimulations on controlling absence seizure. Sci China Tech Sci 60(7): 985–994

[18] Taylor PN, Baier G (2011) A spatially extended model for macroscopic spike-wave discharges. J. Comput. Neurosci. 31(3): 679–684

[19] Fan D, Wang Q, Perc M (2015) Disinhibition-induced transitions between absence and tonic-clonic epileptic seizures. Sci. Rep. 5: 12618

[20] Fan D, Wang Q, Su J, Xi H (2017b) Stimulus-induced transitions between spike-wave discharges and spindles with the modulation of thalamic reticular nucleus. Journal of computational neuroscience: 43(3): 203-225