Document Type
Report
Source Publication Title
Technical Report 353
Abstract
The arithmetic-geometric mean inequality is used to give a lower bound for the average concentration in a two-compartmental model in pharmacokinetics. A geometric interpretation is given to relate concentration to the area of a rectangle as a function of time. Generalization to multi-compartmental models is discussed. Formulas for a variable dosage regimen are derived using concepts from engineering economy and mathematics of finance.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
2-1-2006
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Holyk, Jennifer and Ghandehari, Mostafa, "A Geometric Inequality in Pharmacokinetics" (2006). Mathematics Technical Papers. 294.
https://mavmatrix.uta.edu/math_technicalpapers/294