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.