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The global extrapolation of numerical methods for computing concentration profiles in percutaneous drug absorption
1Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex, U.K.
Computers in Biology and Medicine
|January 1, 1989
Summary
New numerical methods and extrapolation techniques improve accuracy for modeling percutaneous drug absorption. These methods enhance computed concentration profiles during transient and steady states.
Area of Science:
- Numerical analysis
- Mathematical modeling
- Pharmacokinetics
Background:
- Percutaneous drug absorption modeling is crucial for drug delivery.
- Accurate transient stage modeling presents numerical challenges.
Purpose of the Study:
- Develop and analyze numerical methods for parabolic partial differential equations.
- Enhance accuracy of drug concentration profiles using extrapolation.
Main Methods:
- Developed a family of numerical methods for solving parabolic PDEs.
- Implemented two global extrapolation procedures (time-only and space-time).
- Validated methods by reproducing literature experiments.
Main Results:
- Achieved improved accuracy in computed concentration profiles.
- Demonstrated effectiveness of extrapolation techniques.
- Outlined modifications for steady-state calculations.
Conclusions:
- The developed numerical methods with extrapolation offer accurate solutions for percutaneous drug absorption models.
- The approach is applicable to both transient and steady-state phases of drug absorption.