Skip to main content
Log in

Mass transport in solid tumors (II) —Drug delivery

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Based on the flow field solution of the three-porous-medium model for tumor microcirculation, the diffusion-convection equations are solved with various initial and boundary conditions using finite element method. The concentration profile of two therapeutic agents: immunoglobulin G (IgG) and its antigen-binding fragment (Fab) in blood, lymph and interstitial fluid are obtained for normal-tissue-surrounded tumor. The effect of tumor microvasculature, lymph function, drug injection mode, the molecular weight and binding kinetics of the drug on the distribution in tumors are also considered.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. O. Kedem and A. Katchalsky, Thermodynamic analysis of the permeability of biological membranes to non-electrolytes,Biochemica ET Biophysica Acta.,27 (1958), 229–254.

    Article  Google Scholar 

  2. L. T. Baxter and R. K. Jain, Transport of fluid and macromolecules in tumors I, Role of interstitial pressure and convection,Microvascular Res.,37, 1 (1989), 77–104.

    Article  Google Scholar 

  3. L. T. Baxter and R. K. Jain, Transport of fluid and macromolecules in tumors II, Role of heterogeneous perfusion and lymphatics,Microvascular Res.,40, 2 (1990), 246–263.

    Article  Google Scholar 

  4. L. T. Baxter and R. K. Jain, Transport of fluid and macromolecules in tumors III, Role of binding and metabolism,Microyascular Res.,41, 1 (1991), 5–23.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xiaoxiao, L., Wangyi, W., Gongbi, W. et al. Mass transport in solid tumors (II) —Drug delivery. Appl Math Mech 19, 1151–1160 (1998). https://doi.org/10.1007/BF02456636

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02456636

Key words

Navigation