A. V. Paraskevov

The paper derives exact analytical strength-duration curves for the LIF neuron's spiking response to different excitatory current pulses using the Lambert W function.

The paper shows that the number, location, and activity of spontaneous spiking nucleation sites in neuronal networks depend on three distributions and can be suppressed by blocking non-pacemaker neurons.

The paper derives a delay differential equation analog of the Hutchinson equation from the Morris-Lecar model, showing it reproduces neuronal dynamics with delay-induced changes in excitability types.

The paper shows that networks of neurons with stochastic spiking and dynamic synapses can produce spontaneous population spikes, mimicking respiratory rhythm without stochastic resonance.

The paper derives an analytical solution for the Morris-Lecar neuron model under large constant stimulation, showing it reduces to exponentially damped harmonic oscillations with explicit coefficients.

The paper presents a generative model of neuronal networks to investigate whether epileptic foci are internally or externally activated, showing that remote activation is possible.