Modeling of Tumour Growth Induced by Circadian Rhythm Disruption in Epithelial Tissue
We propose a multiscale model of cancer tumour growth in a quasi epithelial tissue. Basic model of the epithelium growth describes the appearance of intensive movement and growth of tissue via mechanisms of division and intercalation of cells. 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. It is assumed also that cancer cells can arise from local failure of a spatial synchronization of circadian rhythms. We hope that the subsequent study of the dynamic properties of the model could determine the relationship between the occurrence of the cancer cells and development of the entire tissue coordinating its evolution through the exchange of chemical and mechanical signals.
Keywordscancer modeling circadian rhythms gene regulation signaling time-delay complexity in biology
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- 1.Weber, G.F.: Molecular Mechanisms of Cancer. Springer (2007)Google Scholar
- 7.Smolle, J., Stettner, H.: Computer simulation of tumour cell invasion by a stochastic growth model. J. Math. Biol. 160, 63–72 (1993)Google Scholar
- 13.Zakharov, A., Bratsun, D.: Synchronization of Circadian Rhythms at Scale of Gene, Cell and Whole Organism. In: Sanayei, A., Zelinka, I., Rossler, O.E. (eds.) ISCS 2013. Emergence, Complexity and Computation, vol. 8, pp. 345–355. Springer, Heidelberg (2014)Google Scholar
- 15.Salm, M., Pismen, L.M.: Chemical and mechanical signaling in epithelial spreading. Phys. Biol. 9, 026009–026023 (2012)Google Scholar
- 18.Bratsun, D., Zakharov, A.: Deterministic modeling spatio-temporal dynamics of delay-induced circadian oscillations in Neurospora crassa. In: Sanayei, A., Zelinka, I., Rossler, O.E. (eds.) ISCS 2013. Emergence, Complexity and Computation, vol. 8, pp. 179–189. Springer, Heidelberg (2014)Google Scholar