Результаты поиска по 'time-delay system':
Найдено статей: 12
  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. Yashina M.V., Tatashev A.G.
    Double-circuit system with clusters of different lengths and unequal arrangement of two nodes on the circuits
    Computer Research and Modeling, 2024, v. 16, no. 1, pp. 217-240

    We study a system that fulfills the class of driving systems developed by A. P. Buslaev (Buslaev networks). In this system, in each of two closed loops there is a segment called a cluster, and it moves at a constant speed if there are no delays. The lengths of the clusters are $l_1^{}$ and $l_2^{}$. There are two common points of the contours, called nodes. Delays in the movement of clusters are due to the fact that two clusters cannot pass through a node at the same time. The contours have the same height, the glazing is accepted. The nodes divide each contour into parts, the length of one of which is equal to $d_i^{}$, and the other $1-d_i^{}$, $i=1,\,2$, — contour number. Studies of the spectrum of average speeds of systems, i.\,e. set of pairs of results $(v_1^{},\,v_2^{})$, where $v_i^{}$ — cluster of average movement speed $i$ taking into account delays, for different initial states and fixed values $l_1^{}$, $l_2^{}$, $d_1^{}$, $d_2^{}$. 12 scenarios of system behavior have been identified, and for each of these manifestations sufficient conditions for its implementation have been found, and each of these observed spectra contains one or two pairs of average velocities.

    Keywords: Buslaev networks, limit cycle.
Pages: previous

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"

Copyright © 2009–2024 Institute of Computer Science