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KMID : 0384620070180030161
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Korean Journal of Medical Physics
2007 Volume.18 No. 3 p.161 ~ p.166
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A Diffusion-based Model Theory of Passive-Targeted Drug Delivery in Solid Tumors
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Choi Joon-Hyuck
Kang Nam-Lyong
Choi Sang-Don
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Abstract
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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.
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KEYWORD
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Drug delivery, Solid tumors, Fick’s law, Concentration
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