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1

Mathematical modelling of ciliary movement mechanism

Krivovichev G.V., Tregoubov V.P.

Acta of Bioengineering and Biomechanics

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2011

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Vol. 13, no. 2

73-81

EN

The main purpose of the paper was to present a new approach to the mathematical modelling of ciliary movements. This approach is based on the solution of the inverse problem of the dynamics, which is described by Lagrange's equations for the system of successively hinged rigid rods. In this case, as is well known, the generalized forces may be found as the time functions. It is proposed to represent these functions by the functions of generalized coordinates and velocities and also of the model parameters, whose values are determined as a solution of the parametric optimization problem. Besides, a special algorithm of ciliary movement control was elaborated. This algorithm is based on the hypothesis of variation of the equilibrium positions for cilia during one cycle of beating. The numerical results are in a good agreement with the cilia movements observed in Paramecium multimicronucleatum.

2

Shutterless method for gain nonuniformity correction of microbolometer detectors

Olbrycht R., Więcek B. B., Świątczak T.

Przegląd Elektrotechniczny

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2010

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R. 86, nr 11a

120-122

EN

In this paper the new method of gain non-uniformity correction of microbolometer detectors is presented. The principle of this method is based on using an additional source of infrared radiation, which provides the excitation to the detector in parallel with the radiation of observed scene. The response of the detector to the excitation is calculated using frequency analysis, and it contains the information about the detector’s gain non-uniformity. This method enables a thermal camera to perform a live gain correction without using a shutter.

PL

W artykule została zaprezentowania nowa metoda korekcji niejednorodności wzmocnienia detektorów mikrobolometrycznych stosowanych w kamerach termowizyjnych. Metoda bazuje na wykorzystaniu promiennika podczerwieni jako źródła dodatkowego promieniowania podczerwonego. Analiza częstotliwościowa odpowiedzi detektora pozwala otrzymać informację o niejednorodności wzmocnienia.

3

Korekcja dryftu temperaturowego detektorów mikrobolometrycznych

Olbrycht R., Więcek B.

Pomiary Automatyka Kontrola

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2009

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R. 55, nr 11

89-893

PL

W pracy przedstawiono nową metodę wyznaczania dryftu temperaturowe-go (ang. offset) mikrobolometrycznych kamer termowizyjnych bez ko-nieczności stosowania migawki, która przesłania obserwowaną scenę. Zamiast migawki zastosowano półprzezroczystą przysłonę, która zmienia poziom energii docierającej do detektora. Metoda zakłada, że w czasie korekcji dryftu temperaturowego kamera "patrzy" na nieruchomy obiekt.

EN

In this paper a new method of temperature drift compensation of microbolometer detectors is presented. Thermal cameras with such detectors are commonly used thanks to relatively low price, small dimensions and no requirement for cooling the detector. Regardless of the microbolometer type, there is a problem of detector temperature drift which is non-uniform over the detector surface. The problem is a result of very high thermal sensitivity of the microbolometer structure which is susceptible to heat coming from surrounding electronics. The most commonly used approach to deal with the problem of temperature drift is use of a mechanical shutter which periodically blocks the observation of scene for the time necessary to perform the correction. The principle of the presented method is based on using an aperture introduced periodically between the detector and the observed scene instead of the shutter. The detector response to the scene radiation with and without the aperture is recorded. Using equation (4), one can calculate the real amount of scene radiation, irrespective of the offset value introduced by the microbolometer temperature drift (equation (5)). This method enables a thermal camera to perform a live offset correction without using a shutter and without interruption of scene observation. Besides of theoretical information about the new method, chosen quantitative results of experiments realized at the Institute of Electronics, Technical University of Lodz are given (Figs. 4 and 5).

4

Computer modelling of ciliary motility

Krivovichev G. V., Tregoubov V. P.

Acta of Bioengineering and Biomechanics

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2008

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Vol. 10, nr 3

61-64

EN

This article is devoted to mathematical modelling of motility of a single cilium. After some simplifications, a mechanical model of a cilium as well as a mathematical model of the mechanism of ciliary motility were proposed. These models are based on the hypothesis which was formulated earlier.