A Diffusion-based Model Theory of Passive-Targeted Drug Delivery in Solid Tumors.
- Author:
Joon Hyuck CHOI
1
;
Nam Lyong KANG
;
Sang Don CHOI
Author Information
1. Department of Internal Medicine, Daegu Catholic University College of Medicine, Daegu, Korea.
- Publication Type:Original Article
- Keywords:
Drug delivery;
Solid tumors;
Fick's law;
Concentration
- MeSH:
Diffusion;
Jurisprudence
- From:Korean Journal of Medical Physics
2007;18(3):161-166
- CountryRepublic of Korea
- Language:English
-
Abstract:
A model theory of passive-targeted drug delivery in sphere-shaped solid tumors is introduced on the basis of Fick's law of diffusion, with appropriate boundary and initial conditions. For a uniform initial concentration inside the tumor, the concentration is obtained as a function of time and radial position. The concentration is shown to approach the equilibrium distribution as the time elapses, as is expected by the Gedanken Experiment. The time-evolution rate is found to be determined by the diffusion coefficient of the drug in the tissue, the size of the tumor, the volume of the drug-injected region, and the concentration gradient at the boundary.