Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/9455525A-48A5-4AE7-9B8F-A967E2002D34 | ||
| Year | 2019 | ||
| Type of Item | Diploma Work | ||
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| Bibliographic Citation | Σωτήριος Λιλιόπουλος, "Ανάπτυξη και εκτίμηση των παραμέτρων μη γραμμικών μοντέλων εξισώσεων κατάστασης, προσομοίωσης της αναχαίτισης καρκινικών όγκων υπό την επίδραση δύο ή περισσοτέρων διαφορετικών αντικαρκινικών φαρμάκων", Διπλωματική Εργασία, Σχολή Ηλεκτρολόγων Μηχανικών https://doi.org/10.26233/heallink.tuc.80671 | ||
| Appears in Collections |
During the past years, huge steps have been made to better understand cancer. New and more powerful drugs have been developed and in combination with advances in cure methods the life expectancy of a cancer patient could be significantly prolonged. Mathematics and specifically mathematical modeling are considered one of the most important tools, since cancer growth can be modeled and simulated with great accuracy.This thesis focuses on the study, development and parameter identification of two nonlinear state-space mathematical models, simulating the inhibition of tumors under one, two or more different anticancer agents. Using COMPLEX, a nonlinear optimization technique developed by M. J. Box the pharmacodynamic parameters of the models are estimated, statistically analyzed and evaluated for several different cases of drug schedules. Models parameters are well estimated, achieving good fit with the actual tumor data and validating the algorithm’s ability to estimate nonlinear model parameters. Moreover, the ability of each of the identified models to operate short-term predictions (one, two and three steps ahead in the future) of the tumor growth is investigated and can be confirmed through several experiments. Such a fact is of great importance, since it could significantly help in pre-clinical testing and modification of a chemotherapy schedule prolonging patient's life expectancy, improving his quality of life and saving money.
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