Many events are followed by absolute refractoriness , when for some time after the event a repetition of a similar event is impossible. If uniform events, each of which is followed by the same period of absolute refractoriness, occur randomly, as in the Bernoulli scheme, then the event probability as a function of time exhibits damped oscillations . Here we give an exact analytical description of the oscillations, with the focus on applying in neuroscience .
Many events are followed by an absolute refractory state , when for some time after the event a repetition of a similar event is impossible. If uniform events, each of which is followed by the same period of absolute refractoriness, occur randomly, as in the Bernoulli scheme, then the event probability as a function of time can exhibit damped transient oscillations caused by a specific initial condition . Here we give an exact analytical description of the oscillations, with a focus on application within neuroscience. The resulting formulas stand out for their relative simplicity, enabling analytical calculation of the damping coefficients for the second and third peaks of the event probability .
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absolute refractoriness
an absolute refractory state
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exhibits damped oscillations
can exhibit damped transient oscillations caused by a specific initial condition
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the focus on applying in neuroscience
a focus on application within neuroscience. The resulting formulas stand out for their relative simplicity, enabling analytical calculation of the damping coefficients for the second and third peaks of the event probability