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Maly V.I.,Moscow Institute of Electronics and Mathematics | Maly I.V.,University of Pittsburgh
Biophysical Journal | Year: 2010

Many cell cytoskeletons include an aster of microtubules, with the centrosome serving as the focal point. The position of the centrosome within the cell is important in such directional activities as wound closure and interactions of immune cells. Here we analyzed the centrosome positioning as it is dictated by microtubule elasticity alone in a mechanical model of an intrinsically fully symmetric microtubule aster. We demonstrate that the symmetry and the central position of the centrosome are unstable. The equilibrium deviation of the centrosome from the center is approximately proportional to the difference of the microtubule length and cell radius. The proportionality coefficient is 1 in flat cells and 2 in three-dimensional cells. The loss of symmetry is irreversible, and in general, the equilibrium form of the aster exhibits memory of past perturbations. The equilibrium position of the centrosome as a function of the microtubule length exhibits hysteresis, and the history of the length variation is reflected in the aster form. These properties of the simple aster of elastic microtubules must be taken into account in the analysis of more comprehensive theoretical models, and in the design and interpretation of experiments addressing the complex process of cytoskeleton morphogenesis. © 2010 by the Biophysical Society.

Yelizarov A.A.,Moscow Institute of Electronics and Mathematics | Pchelnikov Y.N.,104 Drexelbrook Ct
IEEE International Vacuum Electronics Conference, IVEC 2014 | Year: 2014

The plane TWT model on one impedance electrode is offered and analyzed in this paper. The 'hot' dispersion equation for the adjacent to the impedance electrode a homogeneous sheet electron beam is found. Formulas for coefficients of the TWT characteristic equation, coupling and depression coefficients, are derived by differentiating the dispersion equation. © 2014 IEEE.

Pchelnikov Yu.N.,SloWave Inc. | Yelizarov A.A.,Moscow Institute of Electronics and Mathematics | Shaymardanov R.V.,Moscow Institute of Electronics and Mathematics
CriMiCo 2013 - 2013 23rd International Crimean Conference Microwave and Telecommunication Technology, Conference Proceedings | Year: 2013

A sensor for detecting plastic explosives placed in the ground is presented in this paper. The detection effect is based on the intensive radiation from the section of a slow-wave structure at slowing down less than slowing of the light in the medium, i.e. in the soil at the place of possible laying of the mines. High effectiveness and small dimensions in comparison to the wavelength in free space and possibility of monitoring at a wide frequency band define its significant advantages in comparison to another devices for detecting explosives. © 2013 CriMiCo'2013 Organising Committee, CrSTC.

Karasev M.V.,Moscow Institute of Electronics and Mathematics
Russian Journal of Mathematical Physics | Year: 2010

For a generic quantum integrable system, we describe the asymptotics of the eigenstate density and of the trace of the evolution operator in all orders of the quantization parameter. This is done by using quantum symplectic geometry, which makes the given quantum system to be equivalent to a deformed classical system with arbitrary accuracy with respect to the quantization parameter. The asymptotics is explicitly given via the deformed symplectic form, deformed Liouville-Arnold tori, and deformed Maslov class. © 2010 Pleiades Publishing, Ltd.

Karasev M.V.,Moscow Institute of Electronics and Mathematics
Russian Journal of Mathematical Physics | Year: 2011

We discuss how the curvature and the strain density of an atomic lattice generate the quantization of graphene sheets as well as the dynamics of geometric quasiparticles propagating along the constant curvature/strain levels. The internal kinetic momentum of a Riemannian oriented surface (a vector field preserving the Gaussian curvature and the area) is determined. © 2011 Pleiades Publishing, Ltd.

Ruslan S.,Moscow Institute of Electronics and Mathematics | Andrey E.,Moscow Institute of Electronics and Mathematics
Proceedings - 2014 International Conference on Information Science, Electronics and Electrical Engineering, ISEEE 2014 | Year: 2014

This article considers prostate gland disease method of treatment. The electrodynamic analysis of an electrode based on slow-wave system like the 'ribbed coaxial line' is carried out. Received analytical ratios allowing to make calculation of dispersive characteristics and wave resistance. Parameters of such electrode depend on the geometrical sizes of forming conductors and the dielectric filling corresponding to prostate gland biotissues. Application prospects of such structure are defined in creation microwave devices for treatment intracavitary organs diseases and comparison with an electrode based on spiral slow-wave system. © 2014 IEEE.

Karpov V.E.,Moscow Institute of Electronics and Mathematics
Scientific and Technical Information Processing | Year: 2013

This paper critically examines a number of methodological issues of evolutionary computations. The conclusion is made that under the existing notions the evolutionary branch of AI is unlikely to go beyond search optimization methods. A number of issues, whose solution could turn evolutionary computing into the truly mainstream of development of intelligent systems, are provided. © 2013 Allerton Press, Inc.

Manita L.,Moscow Institute of Electronics and Mathematics
Journal of Physics: Conference Series | Year: 2016

We discuss a class of optimization problems related to stochastic models of wireless sensor networks (WSNs). We consider a sensor network that consists of a single server node and m groups of identical client nodes. The goal is to minimize the cost functional which accumulates synchronization errors and energy consumption over a given time interval. The control function u(t) = (u1(t),...,um(t)) corresponds to the power of the server node transmitting synchronization signals to the groups of clients. We find the structure of extremal trajectories. We show that optimal solutions for such models can contain singular arcs.

Rolich A.Y.,Moscow Institute of Electronics and Mathematics
2016 International Siberian Conference on Control and Communications, SIBCON 2016 - Proceedings | Year: 2016

The work carried out research and development of methods for the dynamic configuration of the smart thing's interfaces on the mobile devices with limited resources. This article describes a mathematical model of the environment for dynamic reconfigurable interfaces of smart things on mobile devices with limited resources, the method of assigning a set of basic interface elements to reconfigure interface of smart things and heuristic algorithm for dynamic smart thing's interface reconfiguration. © 2016 IEEE.

Vybornyi E.V.,Moscow Institute of Electronics and Mathematics
Theoretical and Mathematical Physics | Year: 2014

We consider the one-dimensional stationary Schrödinger equation with a smooth double-well potential. We obtain a criterion for the double localization of wave functions, exponential splitting of energy levels, and the tunneling transport of a particle in an asymmetric potential and also obtain asymptotic formulas for the energy splitting that generalize the formulas known in the case of a mirror-symmetric potential. We consider the case of higher energy levels and the case of energies close to the potential minimums. We present an example of tunneling transport in an asymmetric double well and also consider the problem of tunnel perturbation of the discrete spectrum of the Schrödinger operator with a single-well potential. Exponentially small perturbations of the energies occur in the case of local potential deformations concentrated only in the classically forbidden region. We also calculate the leading term of the asymptotic expansion of the tunnel perturbation of the spectrum. © 2014 Pleiades Publishing, Ltd.

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