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has been cited by the following article:

• TITLE: Global Sensitivity Analysis in Physiological Systems

  AUTHORS: Tahmineh Azizi, Robert Mugabi

  KEYWORDS: Global Sensitivity Analysis, Latin Hypercube Sampling (LHS), Partial Rank Correlation Coefficient (PRCC), Physiological Systems, Drug and NPs Distribution

  JOURNAL NAME: Applied Mathematics, Vol.11 No.3, March 5, 2020

  ABSTRACT: Pharmacokinetic models are mathematical models which provide insights into the interaction of chemicals with biological processes. During recent decades, these models have become central of attention in industry that caused to do a lot of efforts to make them more accurate. Current work studies the process of drug and nanoparticle (NPs) distribution throughout the body which consists of a system of ordinary differential equations. We use a tri-compartmental model to study the perfusion of NPs in tissues and a six-compartmental model to study drug distribution in different body organs. We have performed global sensitivity analysis by LHS Monte Carlo method using PRCC. We identify the key parameters that contribute most significantly to the absorption and distribution of drugs and NPs in different organs in body.