This paper describes the mathematical model of frequency control system development, the frequency control system based on neural network designing and frequency control processes simulation results.
Utlyakov, G.N. Modeling of Frequency Control Systems Based on Neural Networks / G.N. Utlyakov, V.I. Karimov, V.M. Asadullin, A.R. Valeev // Proc. of the 12th International Workshop on Computer Science and Information Technologies (CSIT 2010), Moscow – St. Petersburg : USATU, 2010. V.1, p. 89–91.

A mathematical model of action potential (AP) in vascular plants cells has been worked out. The model takes into account actions of plasmalemma ion transport systems (K+, Cl− and Ca2+ channels; H+- and Ca2+-ATPases; 2H+/Cl− symporter; and H+/K+ antiporter), changes of ion concentrations in the cell and in the extracellular space, cytoplasmic and apoplastic buffer capacities and the temperature dependence of active transport systems. The model of AP simulates a stationary level of the membrane potential and ion concentrations, generation of AP induced by electrical stimulation and gradual cooling and the impact of external Ca2+ for AP development. The model supports a hypothesis about participation of H+-ATPase in AP generation.
J. Membrane Biol., 2009, V. 232. P. 59–67.