Synchronization of circadian rhythms in the scale of a gene, a cell and a whole organism

 pdf (3361K)  / List of references

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
Citation in English: 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, vol. 5, no. 2, pp. 255-270
Citation in English: 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, vol. 5, no. 2, pp. 255-270
DOI: 10.20537/2076-7633-2013-5-2-255-270
According to Crossref, this article is cited by:
  • Dmitry Anatolievich Bratsun, Andrey Pavlovich Zakharov, Len M. Pismen. Multiscale mathematical modeling occurrence and growth of a tumour in an epithelial tissue. // Computer Research and Modeling. 2014. — V. 6, no. 4. — P. 585. DOI: 10.20537/2076-7633-2014-6-4-585-604
  • Dmitry Anatolievich Bratsun, Eugeny Sergeevich Lorgov, Alexander Olegovich Poluyanov. Repressilator with time-delayed gene expression. Part I. Deterministic description. // Computer Research and Modeling. 2018. — V. 10, no. 2. — P. 241. DOI: 10.20537/2076-7633-2018-10-2-241-259
  • Ivan Vasilyevich Krasnyakov, Dmitry Anatolievich Bratsun, Len M. Pismen. Mathematical modeling of carcinoma growth with a dynamic change in the phenotype of cells. // Computer Research and Modeling. 2018. — V. 10, no. 6. — P. 879. DOI: 10.20537/2076-7633-2018-10-6-879-902
Please note that citation information may be incomplete as it includes data from Crossref cited-by program partners only.
Views (last year): 1. Citations: 8 (RSCI).

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"