Bessel functions in mass action modeling of memories and remembrances

•We consider data from observations of impulse responses of cortex to electric shocks.•These data are fitted by Bessel functions which may be represented by couples of damped/amplified oscillators.•We study the data by using couples of damped/amplified oscillators.•We discuss lifetime and other properties of the considered brain processes.

Data from experimental observations of a class of neurological processes (Freeman K-sets) present functional distribution reproducing Bessel function behavior. We model such processes with couples of damped/amplified oscillators which provide time dependent representation of Bessel equation. The root loci of poles and zeros conform to solutions of K-sets. Some light is shed on the problem of filling the gap between the cellular level dynamics and the brain functional activity. Breakdown of time-reversal symmetry is related with the cortex thermodynamic features. This provides a possible mechanism to deduce lifetime of recorded memory.