Mathematics and implementations of physiologically based pharmacokinetic modeling
Thesis title in Czech: | Matematika a implementace PBPK modelů |
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Thesis title in English: | Mathematics and implementations of physiologically based pharmacokinetic modeling |
Key words: | farmakokinetika, vice-kompartmentove systemy, matematicke modelovani, diferencialni rovnice, implementace PBPK |
English key words: | pharmacokinetics, physiologically based pharmacokinetic modeling, mathematical modeling, differential equation, PBPK implementation |
Academic year of topic announcement: | 2015/2016 |
Thesis type: | diploma thesis |
Thesis language: | angličtina |
Department: | Department of Biophysics and Physical Chemistry (16-16110) |
Supervisor: | doc. Dipl.-Math. Erik Jurjen Duintjer Tebbens, Ph.D. |
Author: | hidden - assigned by the advisor |
Date of registration: | 06.10.2015 |
Date of assignment: | 11.12.2015 |
Date and time of defence: | 20.09.2018 08:30 |
Date of electronic submission: | 15.05.2018 |
Date of proceeded defence: | 20.09.2018 |
Opponents: | doc. RNDr. Petr Klemera, CSc. |
Advisors: | prof. PharmDr. Petr Pávek, Ph.D. |
Guidelines |
Znalosti farmakokinetiky a matematiky, zjemena teorie diferencialnich rovnic a numerickych metod. Programovani v Matlabu/Octave a prace s editorem LaTeX. |
References |
- Jones HM and Rowland-Yeo K: Basic Concepts in Physiologically Based Pharmacokinetic Modeling in Drug Discovery and Development, CPT Pharmacometrics Syst Pharmacol. 2(8): e63 (2013).
- Jones HM, Parrott N, Jorga K and Lavé T: A novel strategy for physiologically based predictions of human pharmacokinetics. Clin. Pharmacokinet.45, 511–542 (2006). - Zhao P, Rowland M and Huang SM: Best practice in the use of physiologically based pharmacokinetic modeling and simulation to address clinical pharmacology regulatory questions. Clin. Pharmacol. Ther.92, 17–20 (2012). - Janků, Ivo. Farmakokinetické základy dávkování léků. 1. vydání. Praha : Avicenum, 1986. 305 s. |
Preliminary scope of work |
Cíle práce jsou: - Poskytnout důkladný popis matematiky používané v moderním PBPK modelování - Poskytnout popis a hodnocení implementace PBPK metod, které jsou v současné době k dispozici v softwaru Matlab - Pracovat na možná zlepšení nebo rozšíření tohoto softwaru. |
Preliminary scope of work in English |
The goals of the thesis are :
- to give a thorough description of the mathematics behind modern PBPK modeling - to give a description and evaluation of the implementation of PBPK currently available in the Matlab software - to work on possible improvements or extensions of that software. |