Bulletin of Mathematical Biology

, Volume 44, Issue 2, pp 215–229 | Cite as

Electromagnetic mediated pharmacokinetics in a three-layer diffusional system

  • Y. J. Seto
  • S. T. Hsieh


The effect of an applied electromagnetic field on drug diffusion in a one dimensional, three-layer drug-receptor model has been analyzed and expressed in terms of a normalized turnover rate parameter. The analysis reveals that an imposed harmonic time-varying electromagnetic field may enhance or retard the drug turnover rate depending on the diffusional pattern, the equivalent Michaelis constant, the maximum drug turnover rate of the intrinsic drug-receptor system, as well as the power density and frequency of the applied electromagnetic field. It is estimated that the power density in the order of magnitude of 1μW/cm2 at 100 MHz frequency range may be required to induce significant rate effects.


Drug Molecule Diffusion Pattern Intrinsic Diffusion Intrinsic System Turnover Rate Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Ayres, J. W. and F. T. Lindstrom. 1977. “Diffusion Model for Drug Release from Suspensions I: Theoretical Considerations.”J. Pharm. Sci. 66, 654–662.Google Scholar
  2. Curry, H. S. 1974.Drug Disposition and Pharmacokinetics. London: Blackwell Scientific.Google Scholar
  3. Flynn, G. L., O. S. Carpenter and S. H. Yalkowsky. 1972. “Total Mathematical Resolution of Diffusion Layer Control of Barrier Flux.”J. Pharm. Sci. 61, 312–314.Google Scholar
  4. —, S. H. Yalkowsky and T. J. Roseman. 1974. “Mass Transport Phenomena and Models: Theoretical Concepts.”J. Pharm. Sci. 63, 479.Google Scholar
  5. Hamilton, B. K., L. J. Stockmeyer and C. K. Colton. 1973. “Comments on Diffusive and Electrostatic Effects with Immobilized Enzymes.”J. theor. Biol. 41, 547–560.CrossRefGoogle Scholar
  6. Higuchi, W. I. 1967. “Diffusional Models Useful in Biopharmaceutics: Drug Release Rate Processes.”J. Pharm. Sci. 56, 315–324.Google Scholar
  7. Ho, N. F. H., J. Park, W. Morozowich and W. I. Higuchi. 1976. “A Physical Model for the Simultaneous Membrane Transport and Metabolism of Drugs.”J. theor. Biol. 61, 185–193.CrossRefGoogle Scholar
  8. —, J. Turi, C. Shipman, Jr. and W. I. Higuchi. 1972. “Systems approach to the Study of Drug Transport Across Membrane Using Suspension Cultures of Mammalian Cells: I. Theoretical Diffusion Models.”J. theor. Biol. 34, 451–467.CrossRefGoogle Scholar
  9. Hornby, W. E., M. D. Lilly and E. M. Crook. 1968. “Some Changes in the Reactivity of Enzymes Resulting from Their Chemical Attachment to Water Insoluble Derivative of Cellulose.”Biochem. J. 107, 669–674.Google Scholar
  10. Landahl, H. D. 1953. “An Approximation Method for the Solution of Diffusion and Related Problems.”Bull. math. Biophys. 15, 49–61.MathSciNetGoogle Scholar
  11. Rashevsky, N. 1960.Mathematical Biophysics. 3rd edition. New York: Dover Publications.Google Scholar
  12. Seto, Y. J. 1976. “The R. F. Diffusion Enhancement of Enzymatic Reaction in Simple Cellular Metabolism.”Proc. Region V. IEEE Conf. 118–121.Google Scholar
  13. Seto, Y. J. and S. T. Hsieh. 1975a. “Microwave Induced Growth Effects inE. Coli.” Proc. 28th ACEMB. 208.Google Scholar
  14. Seto, Y. J. and S. T. Hsieh. 1975b. “Microwave Perturbation on Cellular Enzymatic Reactions.”Digest of USNC/URSI. 131.Google Scholar
  15. — and —. 1976. “Electromagnetic Induced Kinetic Effects on Charged Substrates in Localized Enzyme System.”Bioengr. Biotech. XVIII, 813–837.CrossRefGoogle Scholar
  16. Shuler, M. L., R. Aris and H. M. Tsuchiya. 1972. “Diffusive and Electrostatic Effects with Insolubilized Enzymes.”J. theor. Biol. 35, 67–76.CrossRefGoogle Scholar
  17. Swan, G. W. 1976. “Solution of Linear One-Dimensional Diffusion Equations.”Bull. math. Biol. 38, 1–13.MATHMathSciNetCrossRefGoogle Scholar
  18. Turi, J. S., N. F. H. Ho, W. I. Higuchi and C. Shipman, Jr. 1975. “System Approach to Study of Solute Transport Across Membranes Using Suspension Cultures of Mammalian Cells III: Steady-State Diffusion Models.”J. Pharm. Sci. 64, 622–626.Google Scholar

Copyright information

© Society of Mathematical Biology 1982

Authors and Affiliations

  • Y. J. Seto
    • 1
  • S. T. Hsieh
    • 1
  1. 1.Electroscience and Biophysics Research Laboratories, School of EngineeringTulane UniversityNew OrleansUSA

Personalised recommendations