Open Access

ARTICLE

MASS TRANSFER MODELING OF HEPATIC DRUG ELIMINATION USING LOCAL VOLUME AVERAGING APPROACH

Mohammad Izadifar^a,b,* , Jane Alcorn^c

a Division of Biomedical Engineering, College of Engineering, University of Saskatchewan, Saskatoon, SK,S7N5A9 Canada
b Department of Mechanical Engineering, College of Engineering, University of Saskatchewan, Saskatoon, SK,S7N5A9 Canada
c Division of Pharmacy, College of Pharmacy and Nutrition ,University of Saskatchewan, Saskatoon, SK,S7N5C9 Canada

* Corresponding Author: Email:

Frontiers in Heat and Mass Transfer 2012, 3(3), 1-7. https://doi.org/10.5098/hmt.v3.3.3005

Abstract

Applying local volume averaging method a mathematical model including liver porosity, tortuosity, permeability, unbound drug fraction, drugplasma diffusivity, axial/radial dispersion and hepatocellular metabolism parameters was developed for hepatic drug elimination. The model was numerically solved using implicit finite difference method to describe drug concentration gradient with time across the liver. Statistically validated by observations and other models, the model suggested axial dispersion as a significant variable in drug distribution across the liver. Sensitivity analyses revealed that lower liver porosity resulted in faster drug distribution across the liver, and bioavailability was sensitive to the interaction between unbound fraction and intrinsic clearance.

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