Logistic growth is one of the traditional mathematical models, used for describing many population proc-esses in particular, the dynamics of DNA quantity in polymerase chain reaction in real time (PCR-RT) is ade-quately described by a similar model. The parameters of the logistic growth curve serve the basis for the devel-opment of the necessary analytical information about the initial quantity of genetic material. The subject of the study is the sequence of measurements, each of which, in a general case, besides useful informative component contains random centered additive error and systematic component as a linear trend of the first order with a pri-ori unknown parameters. The aim of the present part of the study is the development of the algorithms of the ef-fective parameters estimation of logistic growth in the presence of the additive centered limited random error. Keywords: polymerase chain reaction (PCR), logistic growth, estimation of parameters, random error, stochastic approximation

Institute for Analytical Instrumentation RAS, Saint-Petersburg

Logistic growth is one of the traditional mathematical models, used for describing many population proc-esses. The dynamics of DNA quantity in conducting polymerase chain reaction in real time (PCR-RT) is ade-quately described by a similar model, as it was noted earlier [1]. In рart. 1 of this paper the algorithms for the development of the efficient parameters estimation were described, and the description of the characteristics of the random errors in the estimations proposed was given. The main aims of рart. 2 of this paper are determina-tion and compensation of the systematic component of logistic growth curve, and comparison of two different forms (using algebraic (power) and exponential functions) of the mathematical model of the process. Keywords: polymerase chain reaction, logistic growth, systematic error compensation, approximation of functions, iterations

Institute for Analytical Instrumentation RAS, Saint-Petersburg

Eigen acoustic vibrations of the nonuniform cylinder, consisting of a glass tube, filled with a fluid are dis-cussed in this article. Several algorithms for the solution of the problem are suggested, and one of the is calcu-lated in some particular cases. The obtained results may be used in ultrasound use for solution of problems of particle coagulation. Keywords: resonance, eigen frequency of vibration, eigen functions, eigen values, Sturm—Liouville problem

Institute for Analytical Instrumentation RAS, Saint-Petersburg

Some restrictions for fundamental solutions of signal optimal detection problems are considered, which arise due to the exclusive usage of functional Hilbert space metrics. To diversify criteria for deviation of an input process from the transmitted signal estimation at the expense of a number of metrics, used in different func-tional spaces is suggested to overcome them. Preference is given to those, which provide the greatest increase of the norm due to the signal presence. It is shown that from the point of view of technical implementation a choice of metrics and of a corresponding functional space determines the way of detection, whereas the receiver struc-ture, i.e. the way of signal processing, is determined by the kind of a functional used in the selected functional space. An extreme value of this functional is a criterion for optimal detection in a given functional space. Bas-ing on periodicity of the same kind or form of oscillations it is suggested to solve the main problem in a func-tional space formation — determination of a fixed period, meeting the conditions for the actual infinity and permitting to measure any statistical moments, including the odd ones. The most informational and economical among them, according to A. Kolmogorov, are the moments of the 1-st order. It is suggested to use them for the super-noise-immune detection of signals. Keywords: optimum signal detection, diversification of functional spaces, Hilbert space, metrics, signal recognition, ideal detector, statistical moments, Kotelnikov detector, actual infinity

*St. Petersburg Branch of Institute for Problems of Chemical Physics RAS **St. Petersburg State Polytechnic University ***St. Petersburg State University for Service and Economics

The results of investigation of some types of algorithms of outliers eliminator and smoothing in mass-spectral signal are discussed. The investigation was performed with the help of computational experiment on the base models of mass-spectral signals, distorted by noise and outliers. The advantages of the modified Rous-seeuw’s method for mass-spectral analysis are shown. This method is based on the least median of squares re-gression. Keywords: method for signal treatment, mass-spectometry, statistical data analysis, signal smoothing and filtration

Institute for Analytical Instrumentation RAS, Saint-Petersburg

Application of resonance counters in Mössbauer spectroscopy allows to increase resolution and sensitivity and thus to expand information potential of the method. Calculation of spectral line parameters for various con-verters was made, and the results of experimental investigations in the most perspective fields of Mössbauer spectroscopy are presented in the article with the aim of developing effective resonance counters. Keywords: Mössbauer spectroscopy, nuclear gamma resonance, resonance detector

Institute for Analytical Instrumentation RAS, Saint-Petersburg

High sensitivity of ellipsometrical method to the presence of physically adsorbed molecules on solid state surfaces is shown. The method allows to reveal differences between adsorption process and the moment of ap-proach of equilibrium adsorbing molecules state. Keywords: ellipsometry, adsorption, adsorbed layer, polarization

*East Siberian State Technological University, Ulan-Ude **The Department of Physical Problems attached to the Presidium of Buryat Scientific Centre of Siberian Department of RAS, Ulan-Ude

A method for the definition of the dependence of magnetic liquid magnetization on the intensity of mag-netizable field is suggested. It allows to receive experimental dependence adequate to Langevin formula. The described method makes it possible to define the dimension of magnetic nanoglobules and also the effective field constant. Keywords: dispersion of magnetic nanoglobules, magnetic liquid, magnetization curve, magnetization, nuclear magnetic resonance, nanoglobules size, effective field constant

Saint-Petersburg State Institute of Technology (Technical University)

In this paper we discuss the application of scanning capacitance microscopy (SCM) for high spatial resolu-tion investigation of dopant concentration in semiconductors on large-scale planar samples with rough topogra-phy. SCM method and apparatus allowing to reduce the influence of stray capacitance changes during scanning process more than ten times compared to known techniques are developed. Corresponding experimental results are presented. Keywords: SCM, capacitance microscopy, stray capacitance, AFM, SPM

Moscow Institute of Physics and Technology

The article is devoted to problems of Atomic Absorption Spectrometers optical range expansion to red. A prob-lem of light irradiated by graphite furnace striking to detector is the main aim of this work. This problem is proper to all graphite furnace Atomic Absorption Spectrometers. This problem can be solved by Zeeman modu-lation polarization spectrometry, a version of atomic-absorption technique realized in MGA series spectrome-ters. Keywords: atomic absorption spectrometry, Zeeman modulation polarization spectrometry, electrothermal atomization

*Atomics LLC, Saint-Petersburg **Institute for Analytical Instrumentation RAS, Saint-Petersburg

The spectrophotometric flowing hygrometer "Zima" intended for the measurement of gas humidity at high pressure is described. Registration and processing of spectra is performed in the range of 1872 nanometers, where water vapor and overwhelming number of gases including hydrocarbons spectra, can be recognized by computer processing. Prospective use of spectrophotometric method for measuring water vapor concentration in natural gas was confirmed experimentally. Keywords: hygrometer, spectrophotometric gas-analyzer, regularity method, grating monochromator, natural gas, dew point

V.E. Zuev Institute of Atmospheric Optics, Siberian Branch of the RAS, Tomsk

The holographic interferometer for visualization of 3D phase objects in two mutually perpendicular direc-tions is presented. Keywords: interferometry, 3D phase media

Ioffe Physical Technical Institute RAS, Saint-Petersburg

The threshold fluctuation and its contribution to the time scale deviation to the measurement of the short time intervals are discussed. The version of the reduction of this contribution to analog expansion of the time inter-vals by means of the periodic correction of the expansible value of the threshold is suggested. The functional block scheme, its composition and the specific work of the components, as well as, the sphere of this method usage are presented. Keywords: ADC time, short time intervals, time scale deviation, periodic threshold correction, mesurements accuracy improvement

*State Technical University of Nuclear Power Engineering, Obninsk **State Scientific Center of Russian Federation "Institute for Physics and Power Engineering named after A.I. Leypunskiy", Obninsk

The 16-channel charge-discharge testing system for secondary chemical current sources and cells is de-scribed. Each channel works at constant current or constant voltage modes. The cell can be connected by two- or three-electrode scheme. Channels are completely independent. The system provides ±5 mA and ±100 mA cur-rent output ranges at ±10 V voltage range. Current and voltage set accuracy is 0.1 %. The system is remotely controlled via Ethernet. Keywords: firmware equipment, remote experiment control, battery testing systems

Institute of Organic Chemistry of Ufa Scientific Center of RAS, Ufa

The hardware and software of the unit for determination оf the coefficient of elasticity of the material is de-scribed. The unite is based on the measurement of resonance frequency of acoustic vibrations, which is caused by pulsing mechanical impact. Acoustic vibrations are recorded in high frequency range in the computer mem-ory and then Fourier transformation is executed. The resonance frequency is defined with the help of the signal after Fourier transformation, and then coefficient of elasticity is calculated. Keywords: nondestructive methods for material check, acoustic estimator, coefficient of elasticity, Fourier transformation, resonance frequency

*Saint-Petersburg State University of Information Technologies, Mechanics and Optics **Institute for Analytical Instrumentation RAS, Saint-Petersburg