Atici, Ferhan M.

Nguyen, Ngoc

English

ISU ReD: Research and eData

Presentation for the Symposium on BEER November 2020Pharmacokinetics and Pharmacodynamics Models ofTumor Growth and Anticancer Effects in DiscreteTimeFerhan M. Atici1,*, Ngoc Nguyen2,*, Kamala Dadashova3, Sarah E. Pedersen4, andGilbert Koch51,2,3,4Department of Mathematics, Western Kentucky University, Bowling Green, KY 421015 Pediatric Clinical Pharmacology University Children’s Hospital, Basel, Switzerlandferhan.atici@wku.edungoc.nguyen@wku.eduWe study the h-discrete and h-discrete fractional representation of a pharmacokinetics-pharmacodynamics(PK-PD) model describing tumor growth and anticancer effects in continuous time considering a time scalehN0, where h > 0. Since the measurements of the drug concentration in plasma were taken hourly, weconsider h = 1/24 and obtain the model in discrete time (i.e. hourly). We then continue with fractionalizingthe h-discrete nabla operator in the h-discrete model to obtain the model as a system of nabla h-fractionaldifference equations. In order to solve the fractional h-discrete system analytically we state and prove sometheorems in the theory of discrete fractional calculus. After estimating and getting confidence intervals ofthe model parameters, we compare residual squared sum values of the models in one table. Our study showsthat the new introduced models provide fitting as good as the existing models in continuous time.

Pharmacokinetics and Pharmacodynamics Models of Tumor Growth and Anticancer Effects in Discrete Time

https://ir.library.illinoisstate.edu/cgi/viewcontent.cgi?article=1545&amp;context=beer

Pharmacokinetics and Pharmacodynamics Models of Tumor Growth and Anticancer Effects in Discrete Time

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