This paper predicts the ability to externally control the firing times of a cortical neuron whose behavior follows the Izhikevich neuron model. The Izhikevich model provides an efficient and biologically plausible method to track a cortical neuron’s membrane potential and its firing times. The external control is a simple optogenetic model represented by a constant current source that can be tu...

The silicon neuron is an electronic circuit that reproduces the electrophysiological behavior of neuronal cells. In experimental results of a square-wave burster silicon neuron circuit, we found a characteristic fluctuation in spike generation in its fast subsystem, which leads to instability in the bursting behavior. This article proposes a biologically possible countermeasure against this pro...

Population density models used to describe the evolution of neural populations in a phase space are closely related to the single neuron model that describes the individual trajectories of the neurons of the population and which gives in particular the phase-space where the computations are made. Based on a transformation of the quadratic integrate and fire single neuron model, the so called th...