Результаты поиска по 'stochastic systems':
Найдено статей: 32
  1. Zakharov A.P., Bratsun D.A.
    Synchronization of circadian rhythms in the scale of a gene, a cell and a whole organism
    Computer Research and Modeling, 2013, v. 5, no. 2, pp. 255-270

    In the paper three characteristic scales of a biological system are proposed: microscopic (gene's size), mesoscopic (cell’s size) and macroscopic level (organism’s size). For each case the approach to modeling of circadian rhythms is discussed on the base of a time-delay model. At gene’s scale the stochastic description has been used. The robustness of rhythms mechanism to the fluctuations has been demonstrated. At the mesoscopic scale we propose the deterministic description within the spatially extended model. It was found the effect of collective synchronization of rhythms in cells. Macroscopic effects have been studied within the discrete model describing the collective behaviour of large amount of cells. The problem of cross-linking of results obtained at different scales is discussed. The comparison with experimental data is given.

    Keywords: circadian rhythms, synchronization, time-delay system.
    Views (last year): 1. Citations: 8 (RSCI).
  2. Aptukov A.M., Bratsun D.A., Lyushnin A.V.
    Modeling of behavior of panicked crowd in multi-floor branched space
    Computer Research and Modeling, 2013, v. 5, no. 3, pp. 491-508

    The collective behavior of crowd leaving a room is modeled. The model is based on molecular dynamics approach with a mixture of socio-psychological and physical forces. The new algorithm for complicatedly branched space is proposed. It suggests that each individual develops its own plan of escape, which is stochastically transformed during the evolution. The algorithm includes also the separation of original space into rooms with possible exits selected by individuals according to their probability distribution. The model is calibrated on the base of empirical data provided by fire case in the nightclub “Lame Horse” (Perm, 2009). The algorithm is realized as an end-user Java software. It is assumed that this tool could help to test the buildings for their safety for humans.

    Keywords: complex systems, collective behavior, individual-based models.
    Views (last year): 7. Citations: 10 (RSCI).
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