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Abstract

Numerous experimental studies performed during the past decade indicate that the synaptic plasticity, observed in neurons on the time scale comparable or longer than a few minutes, may be related to changes in the expression of genes transcribed into mRNAs and microRNAs (miRNAs). To illustrate what may happen in this case, the author presents a generic coarse-grained kinetic model describing the interplay of the membrane voltage pulses and gene expression with emphasis on miRNAs. The analysis is based on temporal differential equations. Under steady-state conditions, the kinetics under consideration are predicted to exhibit a unique steady state or bistability. The miRNA diffusion via gap junctions is shown to be able to synchronize and stabilize the kinetics in an array of bistable neurons. Such arrays are expected to serve as memory chips in brain.