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Models and Methods to Evaluate Transport of Drug Delivery Systems Across Cellular Barriers
Published on: October 17, 2013
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An effective time-constant algorithm for drug transport to capillaries and surrounding tissues
1Otto H. York Department of Chemical, Biological and Pharmaceutical Engineering, New Jersey Institute of Technology, Newark, NJ 07102, USA.
Computers in Biology and Medicine
|August 6, 2017
Summary
This study introduces a new method to calculate drug distribution rates in capillaries and tissues. Higher drug concentrations and faster steady-state achievement were observed with increased Peclet numbers and decreased Biot numbers.
Area of Science:
- Pharmacokinetics
- Biomedical Engineering
- Mathematical Modeling
Background:
- Understanding drug distribution kinetics is crucial for effective therapeutic delivery.
- Existing models may not fully capture the dynamic interplay between capillaries and tissues.
Purpose of the Study:
- To develop and apply mathematical expressions for calculating drug steady-state levels in capillaries and tissues.
- To analyze the influence of transport parameters on drug distribution dynamics.
Main Methods:
- Developed single time constant expressions using Maple software.
- Employed a one-dimensional convection-diffusion model for solute concentration in capillaries.
- Investigated two case studies, including axial and radial diffusion.
Main Results:
- Drug accumulation increased with the Peclet number, while relaxation time to steady-state decreased.
- Lower mass transfer Biot numbers led to greater drug delivery to tissues during transient periods.
- Model demonstrated rapid equilibrium achievement in initial case studies.
Conclusions:
- The developed expressions provide a robust method for analyzing drug transport dynamics.
- Peclet and Biot numbers are key parameters influencing drug distribution rates and tissue uptake.
- The approach is applicable to various physiological transport phenomena and bioreactor design.
Keywords:
Effective time constantKrogh tissue cylinderLaplace transformPartial differential equationsTwo-dimensional transportMore Related Videos
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