Abnormal synchronisation has been associated with epileptic seizures, one of the most common brain disease. Due to this fact, a better understanding of neuronal synchronisation mechanisms can help in the epilepsytreatment. We study neuronal synchronisation by means of a randomly network with excitatory and inhibitory synapses, where the neuron model is given by the adaptive exponential integrate-and-fire . In our network , we verify that the decrease in the influence of inhibition can generate synchronisation  from a pattern of desynchronised spikes. The transition from desynchronous spikes to synchronous bursts activities , induced by varying the synaptic coupling, emerges in a hysteretic loop due to a bistable regime where normal (desynchronous) or abnormal ( synchronous) regimes exist. We show that, for parameters within the bistable region , a square current pulse can trigger the abnormalsynchronous regime , a process we claim to reproduce features of an epileptic seizure. We can also suppress it, as well. Suppression can be achieved through a current with small amplitude applying on less than 10 %DIFDELCMD < \\%%% %DIF < of neurons. Therefore, our results demonstrate that electrical stimulation not only can trigger synchronous behaviours, but also can be an effective treatment for epileptic seizures induced in a bistable regime.\end{abstract} 
Excessively high, neural synchronisation has been associated with epileptic seizures, one of the most common brain diseases worldwide. A better understanding of neural synchronisation mechanisms can thus help control or even treat epilepsy. In this paper, we study neural synchronisation in a random network where nodes are neurons with excitatory and inhibitory synapses, and neural activity for each node is provided by the adaptive exponential integrate-and-fire model. In this framework , we verify that the decrease in the influence of inhibition can generate synchronisation originating from a pattern of desynchronised spikes. The transition from desynchronous spikes to synchronous bursts of activity , induced by varying the synaptic coupling, emerges in a hysteresis loop due to bistability where abnormal (excessively high synchronous) regimes exist. We verify that, for parameters in the bistability regime , a square current pulse can trigger excessively high (abnormal) synchronisation , a process that can reproduce features of epileptic seizures. Then, we show that it is possible to suppress such abnormal synchronisation by applying a small-amplitude external current on less than 10 %DIFDELCMD < \\%%% %DIF < of neurons. Therefore, our results demonstrate that electrical stimulation not only can trigger synchronous behaviours, but also can be an effective treatment for epileptic seizures induced in a bistable regime.\end{abstract} \% of the neurons in the network. Our results demonstrate that external electrical stimulation not only can trigger synchronous behaviour, but more importantly, it can be used as a means to reduce abnormal synchronisation and thus, control or treat effectively epileptic seizures.
R
Abnormal
Excessively high, neural
R
disease. Due to this fact, a
diseases worldwide. A
R
neuronal
neural
R
help in the epilepsytreatment. We study neuronal synchronisation by means of a randomly network
thus help control or even treat epilepsy. In this paper, we study neural synchronisation in a random network where nodes are neurons
R
where the neuron model is given
and neural activity for each node is provided
R
. In our network
model. In this framework
A
originating
R
activities
of activity
R
hysteretic
hysteresis
R
a bistable regime where normal (desynchronous) or abnormal (
bistability where abnormal (excessively high
R
show
verify
R
within the bistable region
in the bistability regime
R
the abnormalsynchronous regime
excessively high (abnormal) synchronisation
R
we claim to
that can
R
an epileptic seizure. We can also suppress it, as well. Suppression can be achieved through a current with small amplitude applying
epileptic seizures. Then, we show that it is possible to suppress such abnormal synchronisation by applying a small-amplitude external current
A
\% of the neurons in the network. Our results demonstrate that external electrical stimulation not only can trigger synchronous behaviour, but more importantly, it can be used as a means to reduce abnormal synchronisation and thus, control or treat effectively epileptic seizures.