Korean J Med Phys.  2007 Sep;18(3):161-166.

A Diffusion-based Model Theory of Passive-Targeted Drug Delivery in Solid Tumors

Affiliations
  • 1Department of Internal Medicine, Daegu Catholic University College of Medicine, Daegu, Korea.
  • 2Department of Nanomedical Engineering, Pusan National University, Miryang,, Korea.
  • 3Department of Physics, Kyungpook National University, Daegu, Korea. sdchoi@knu.ac.kr

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.

Keyword

Drug delivery; Solid tumors; Fick's law; Concentration

MeSH Terms

Diffusion
Jurisprudence
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