Результаты поиска по 'circadian rhythms':
Найдено статей: 2
  1. Bratsun D.A., Zakharov A.P., Pismen L.M.
    Multiscale mathematical modeling occurrence and growth of a tumour in an epithelial tissue
    Computer Research and Modeling, 2014, v. 6, no. 4, pp. 585-604

    In this paper we propose a mathematical model of cancer tumour occurrence in a quasi twodimensional epithelial tissue. Basic model of the epithelium growth describes the appearance of intensive movement and growth of tissue when it is damaged. The model includes the effects of division of cells and intercalation. It is assumed that the movement of cells is caused by the wave of mitogen-activated protein kinase (MAPK), which in turn activated by the chemo-mechanical signal propagating along tissue due to its local damage. In this paper it is assumed that cancer cells arise from local failure of spatial synchronization of circadian rhythms. The study of the evolutionary dynamics of the model could determine the chemo-physical properties of a tumour, and spatial relationship between the occurrence of cancer cells and development of the entire tissue parameters coordinating its evolution through the exchange of chemical and mechanical signals.

    Keywords: mathematical modeling, cancer growth, circadian rhythms, gene regulation, synchronization, complex systems.
    Views (last year): 10. Citations: 12 (RSCI).
  2. 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).

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