Abstract
Biological processes have very complicated nonlinear dynamics thus generally they are mathematically modeled using nonlinear functions. High nonlinearity in the models cause many difficulties in its analysis. We propose to use piece-wise linear differential equations model instead which is easier for analysis. In this approach we created such model of the regulatory module p53. Protein p53 plays crucial role in the cell response after stress stimuli and enables elimination of the carcinogenic mutated cells. The results shows that after stress stimuli, the number, type and localization of the stationary points are changed, which corresponds to different cell behavior observed in the biological experiments.
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Acknowledgments
The research presented here was partially supported by the National Science Centre in Poland granted with decision number DEC-2013/11/B/ST7/01713 (for KP), DEC-2014/13/B/ST7/00755 (for AS and JK) and BKM/506/RAU1/2016/15 (MO).
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Ochab, M., Puszynski, K., Swierniak, A., Klamka, J. (2017). Variety Behavior in the Piece-Wise Linear Model of the p53-Regulatory Module. In: Rojas, I., Ortuño, F. (eds) Bioinformatics and Biomedical Engineering. IWBBIO 2017. Lecture Notes in Computer Science(), vol 10208. Springer, Cham. https://doi.org/10.1007/978-3-319-56148-6_18
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DOI: https://doi.org/10.1007/978-3-319-56148-6_18
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