Abstract
Human organism is a complex system whose functioning is still under investigation. The biological models of intercellular interactions are created for better understanding of the complex system behaviour and prediction of the system response to the given stimuli. Medical system such as drug application to organism can be described as a piece-wise non-linear model. In our work we consider the influence of the parameter deviations of the systems with fixed terminal state. There are investigated two types of deviations: small changes of system parameters and changes in particular parameter switching time. We considered three different types of the systems, without self-regulation, with negative feedback loop and with positive feedback loop. We considered differences between these types and influence of the small changes in parameters values to the reachability of therapeutic goal after the drug application.
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Liberzon, D.: Switchings in Systems and Control. University of Illionis at Urbana-Campaign, USA (2003)
Alberts, B., Johnson, A., Lewis, J., Raff, M., Roberts, K., Walter, P.: Molecular Biology of the Cell, 4th edn. Garland Science, New York (2002)
Sachs, F.: Mechanical transduction by membrane ion channels: a mini review. Mol. Cell. Biochem. 104, 57–60 (1991)
Benet, L.Z., Sheiner, L.B.: Pharmacokinetics: the dynamics of drug absorption, distribution, and elimination. In: The Pharmacological Basis of Therapeutics, pp. 15–20. Macmillian Publishing Co. (1985)
Bantscheff, M., Scholten, A., Heck, A.J.R.: Revealing promiscuous drug target interactions by chemical proteomics. Drug Discov. Today 14(21–22), 1021–1029 (2009)
Hartwell, L.H., Weinert, T.A.: Checkpoints: controls that ensure the order of cell cycle events. Science 246, 629–634 (1989)
Buxton, I.L.O., Benet, L.Z.: Pharmacokinetics: the dynamics of drug absorption, distribution, matebolism and elimination. In: Goodman and Gilman’s the Pharmacological Basis of therapeutics, 12th edn. McGraw-Hill Education (2011)
Puszynski, K., Gandolfi, A., d’Onofrio, A.: The pharmacodynamics of the p53-Mdm2 targeting drug nutlin: the role of gene-switching noise. PLOS Comput. Biol. 10(12), e1003991 (2014)
Acknowledgments
The research presented here was partially supported by the National Science Centre in Poland granted with decision number DEC-2012/05/D/ST7/02072 (for KP), DEC-2014/13/B/ST7/00755 (for AS) and BKM -514/RAU1/2015, number 17 (MO).
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Ochab, M., Puszynski, K., Swierniak, A. (2016). Reachability of the Therapeutic Target in the Systems with Parameters Switch. In: Ortuño, F., Rojas, I. (eds) Bioinformatics and Biomedical Engineering. IWBBIO 2016. Lecture Notes in Computer Science(), vol 9656. Springer, Cham. https://doi.org/10.1007/978-3-319-31744-1_51
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DOI: https://doi.org/10.1007/978-3-319-31744-1_51
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