Role of coupling distances in a coupled thalamocortical network in the treatment of epilepsy.

The establishment of a recent theoretical model of a coupled cortical thalamic network is an important step in the spatiotemporal dynamics of the brain. However, choosing the coupling distances and parameters for deep brain stimulation remains a very challenging task. This study aimed to establish a coupled cortical thalamic model with uncertain coupling distances. Utilizing different pathways formed by the pyramidal neuronal population, thalamic reticular nucleus, and thalamic relay nucleus, we reduced epileptic seizures with spike-wave discharges (SWDs) at 2-4 Hz. In modelling terms, numerical simulations demonstrated that a combination (1/3, 1/9) of the left and right ventricles is the optimal coupling distance of the proposed model by analyzing the percentage of SWDs. In simulation terms, on the one hand, the number of SWDs is inversely proportional to the amplitude; on the other hand, the number of SWDs shows a U-shaped trend with the change in frequency. The present study provides an important theoretical basis and direction for the future treatment of absence epilepsy. In brief, our simulation results will hopefully provide some help to patients.

Closed-loop controller based on reference signal tracking for absence seizures.

Absent epilepsy is a kind of refractory epilepsy, which is characterized by 2-4 Hz spike and wave discharges (SWDs) in electroencephalogram. Open-loop deep brain stimulation (DBS) targeting the thalamic reticular nucleus (TRN) is an effective method to treat absent epilepsy by eliminating SWDs in the brain. Compared with open-loop DBS, closed-loop DBS has been recognized by researchers for its advantages of significantly inhibiting seizures and having fewer side effects. Since traditional trial-and-error methods for adjusting closed-loop controller parameters are too dependent on the experience of doctors, in this paper we designed two proportional integral (PI) controllers based on the basal ganglia-cortical-thalamic model, whose PI parameters are calculated from the stability of the system. The two PI controllers can automatically adjust the frequency and amplitude of DBS respectively according to the change of the firing rate detected by substantia nigra pars reticulata (SNr). The parameters of the PI controller are calculated based on the Routh-Hurwitz stability criterion of a linear system which transformed by the original system using controlled auto-regressive (CAR) model and recursive least squares (RLS) method. Numerical simulation results show that both PI controllers significantly destroy the SWDs of the cerebral cortex and restore it to the other two normal discharge modes according to the different target firing rate, which supplies a promising brain stimulation strategy.

Regulatory Mechanism for Absence Seizures in Bidirectional Interactive Thalamocortical Model via Different Targeted Therapy Schemes.

Recent clinical practice has found that the spike-wave discharge (SWD) scopes of absence seizures change from small cortical region to large thalamocortical networks, which has also been proved by theoretical simulation. The best biophysics explanation is that there are interactions between coupled cortico-thalamic and thalamocortical circuits. To agree with experiment results and describe the phenomena better, we constructed a coupled thalamocortical model with bidirectional channel (CTMBC) to account for the causes of absence seizures which are connected by the principle of two-way communication of neural pathways. By adjusting the coupling strength of bidirectional pathways, the spike-wave discharges are reproduced. Regulatory mechanism for absence seizures is further applied to CTMBC via four different targeted therapy schemes, such as deep brain stimulation (DBS), charge-balanced biphasic pulse (CBBP), coordinated reset stimulation (CRS) 1 : 0, and (CRS) 3 : 2. The new CTMBC model shows that neurodiversity in bidirectional interactive channel could supply theory reference for the bidirectional communication mode of thalamocortical networks and the hypothesis validation of pathogenesis.