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Synchronization of circadian rhythms in the scale of a gene, a cell and a whole organism
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.
- 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 , , .
- 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 , , .
- 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 , , .
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International Interdisciplinary Conference "Mathematics. Computing. Education"