Synaptic transmission as a cooperative phenomenon in confined systems

In this review paper, the theory of synaptic transmission (ST) was developed and discussed. We used the hypothesis of isomorphism between: (a) the cooperative behavior of mediators --- acetylcholine molecules (ACh) and cholinoreceptors in a synaptic cleft with binding into mediator-receptor (AChR) complexes, (b) the critical phenomena in confined binary liquid mixtures. The systems of two (or three) nonlinear differential equations were proposed to find the change of concentrations of ACh, AChR complexes, and ferment acetylcholinesterase. The main findings of our study: the linear size of the activation zone was evaluated; the process of postsynaptic membrane activation was described as a cooperative process; different approximations of ACh synchronous release were examined; stationary states and types of singular points were studied for the proposed models of ST; the nonlinear kinetic model with three order parameters demonstrated a strange-attractor behavior.Comment: 12 pages, 1 figur

Optimum pulse shapes for stimulated Raman adiabatic passage

Stimulated Raman adiabatic passage (STIRAP), driven with pulses of optimum shape and delay has the potential of reaching fidelities high enough to make it suitable for fault-tolerant quantum information processing. The optimum pulse shapes are obtained upon reduction of STIRAP to effective two-state systems. We use the Dykhne-Davis-Pechukas (DDP) method to minimize nonadiabatic transitions and to maximize the fidelity of STIRAP. This results in a particular relation between the pulse shapes of the two fields driving the Raman process. The DDP-optimized version of STIRAP maintains its robustness against variations in the pulse intensities and durations, the single-photon detuning and possible losses from the intermediate state.Comment: 8 pages, 6 figures. submitted to Phys. Rev.

Guaranteed parameter estimation of ARARCH(1,1) with drifting parameter

In this paper we solve the estimation problem of the drifting parameter of ARARCH(1,1) model with guaranteed accuracy in the mean square sense by sample of fixed size. Cases of known and unknown noise variances are considered. For the first case we apply the truncated sequential estimation method and for the second one we use the truncated estimation method. It is shown that the obtained results can be applied to more general model

Structural and functional model of preparation of workers in the competitive corporate education

The article presents the results of research training competi-tiveness of workers in industrial enterprise training center. The description of the structural-functional model of the training based on competence, socio-cultural and modular approach and the results are presented, you are confirming its effectivenessПредставлены результаты исследования подготовки конкурентоспособных рабочих в условиях учебного центра промышленного предприятия. Дано описание структурно-функциональной модели такой подготовки, основанной на компетентностном, социокультурном и модульном подходах, и представлены результаты, подтверждающие ее эффективност