Результаты поиска по 'analytical model':
Найдено статей: 112
  1. Yakushevich L.V., Ryasik A.A.
    Dynamical characteristics of DNA kinks and antikinks
    Computer Research and Modeling, 2012, v. 4, no. 1, pp. 209-217

    In this article in the frameworks of the sine-Gordon mode we have calculated the dynamical characteristics of kinks and antikinks activated in the homogeneous polynucleotide chains each if them contains only one of the types of the bases: adenines, thymines, guanines or cytosines. We have obtained analytical formulas and constructed the graphs for the kink and antikink profiles and for their energy density in the 2D- and 3D-dimension. Mass of kinks and antikinks, their energy of rest and their size have been estimated. The trajectories of kink and antikink motion in the phase space have been calculated in the 2D- and 3D-dimension.

    Keywords: mathematical modeling, sine-Gordon equation, DNA-mobility, biophysics.
    Views (last year): 2. Citations: 7 (RSCI).
  2. Plusnina T.Yu., Voronova E.N., Goltzev V.N., Pogosyan S.I., Yakovleva O.V., Riznichenko G.Yu., Rubin A.B.
    Reduced model of photosystem II and its use to evaluate the photosynthetic apparatus characteristics according to the fluorescence induction curves
    Computer Research and Modeling, 2012, v. 4, no. 4, pp. 943-958

    The approach for the analysis of some large-scale biological systems, on the base of quasiequilibrium stages is proposed. The approach allows us to reduce the detailed large-scaled models and obtain the simplified model with an analytical solution. This makes it possible to reproduce the experimental curves with a good accuracy. This approach has been applied to a detailed model of the primary processes of photosynthesis in the reaction center of photosystem II. The resulting simplified model of photosystem II describes the experimental fluorescence induction curves for higher and lower plants, obtained under different light intensities. Derived relationships between variables and parameters of detailed and simplified models, allow us to use parameters of simplified model to describe the dynamics of various states of photosystem II detailed model.

    Keywords: photosystem II, fluorescence induction curves, model reduction.
    Views (last year): 3. Citations: 2 (RSCI).
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