Skip to main content
Log in

Application of a linear recirculation model to drug targeting

  • Commentary
  • Published:
Journal of Pharmacokinetics and Biopharmaceutics Aims and scope Submit manuscript

Abstract

Current interest in drug targeting has inspired theoretical considerations of its potential and problems. Previously, drug targeting has been considered in terms of more or less elaborate compartmental models. The present paper shows how an equivalent analysis of the potential advantage of drug targeting may be derived with the minimum reliance on a specific model. A linear recirculation model is used to describe the drug concentration profile at some target site and in the rest of the body. Equations for theAUCs of drug and of a drug-carrier conjugate can then be derived. TheseAUCs are used to define a drug targeting index (DTI), a measure of drug targeting selectivity previously derived from a specific model. It is shown that theDTI can be defined solely in terms of extraction ratios for elimination of free drug, when release of drug is confined to the target site. The expression forDTI is shown to be equivalent to that previously derived from several more model-dependent approaches.

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

Abbreviations

R:

The target compartment

S:

The rest of the body outside of the target compartment

Q :

Flow or transport clearance describing the movement of species between the compartments

E R(D) :

That fraction of drug eliminated during one passage through R

E S(D) :

That fraction of drug eliminated during one passage through S

E S(DC) :

That fraction of drug carrier eliminated during one passage through S

E S(DC→D) :

That fraction of drug carrier which releases drug during one passage through S

E R(DC→D) :

That fraction of drug carrier which releases drug during one passage through R

H D(t):

Rate of input of drug into S

H DC(t):

Rate of input of drug carrier into S

D s(t):

Drug concentration in S following input of drug

D R(t):

Drug concentration in R following input of drug

DC s(t):

Drug carrier concentration in S

DC R(t):

Drug carrier concentration in R

DX x(t):

Drug concentration in S following input of drug carrier

DX R(t):

Drug concentration in R following input of drug carrier

References

  1. N. Bodor. Targeting of drugs to the brain.Methods in Enzymology.112:381–396 (1985).

    Article  CAS  PubMed  Google Scholar 

  2. R. Duncan, J. B. Lloyd, P. Rejmanova, and J. Kopecek. Methods of targeting N-(2-hydroxypropyl)methacrylamide copolymers to particular cell types.Makromol. Chem. Suppl. 9:3–12 (1985).

    Article  CAS  Google Scholar 

  3. E. Tomlinson. Theory and Practice of site-specific drug delivery.Adv. Drug Deliv. Rev. 1:87–198 (1987).

    Article  CAS  Google Scholar 

  4. V. J. Stella and K. J. Himmelstein. Prodrugs: a chemical approach to drug delivery. In R. T. Borchardt, A. J. Repta, and V. J. Stella (eds.),Directed Drug Delivery, Humana Press, New York, 1985, pp. 247–267.

    Chapter  Google Scholar 

  5. J. F. M. Smits and H. H. W. Thijssen. Spatial control of drug action: Theoretical considerations on the pharmacokinetics of target-aimed drug delivery. In H. A. J. Struyker-Boudier, (ed.),Rate-controlled Drug Administration and Action, CRC Press, Boca Raton, FL, 1986, pp. 83–104.

    Google Scholar 

  6. C. A. Hunt, R. D. MacGregor, and R. A. Siegel, Engineering targetedin vivo drug delivery. I. The physiological and physicochemical principles governing opportunities and limitations.Pharm. Res. 3:333–344 (1986).

    Article  CAS  PubMed  Google Scholar 

  7. J. N. Weinstein, C. D. V. Black, J. Barbet, R. R. Eger, R. J. Parker, O. D. Holton, J. L. Mulshine, A. M. Keenan, S. M. Larson, J. A. Carrasquillo, S. M. Sieber, and D. G. Covell. Selected issues in the pharmacology of monoclonal antibodies. In E. Tomlinson and S. S. Davies (eds.),Site specific drug delivery. Cell biology, medical and pharmaceutical aspects, John Wiley, London, 1986, pp. 81–91.

    Google Scholar 

  8. G. Levy. Targeted drug delivery—Some pharmacokinetic considerations.Pharm. Res. 4:3–4 (1987).

    Article  CAS  PubMed  Google Scholar 

  9. A. Boddy and L. Aarons. Pharmacokinetic and pharmacodynamic aspects of site-specific drug delivery.Adv. Drug Deliv. Rev. 3:155–163 (1989).

    Article  CAS  Google Scholar 

  10. D. J. Cutler. Linear systems analysis in pharmacokinetics.J. Pharmacokin. Biopharm. 6:265–282 (1978).

    Article  CAS  Google Scholar 

  11. D. J. Cutler. A linear recirculation model for drug disposition.J. Pharmacokin. Biopharm. 7:101–116 (1979).

    Article  CAS  Google Scholar 

  12. A. Boddy, L. Aarons, and K. Petrak. Efficiency of drug targeting: Steady-state considerations using a three-compartment model.Pharm. Res. 6:367–372 (1989).

    Article  CAS  PubMed  Google Scholar 

  13. M. Rowland, L. Z. Benet, and G. G. Graham. Clearance concepts in pharmacokinetics.J. Pharmacokin. Biopharm. 1:123–136 (1973).

    Article  CAS  Google Scholar 

  14. M. J. A. P. Daemen. Local drug administration—an experimental study on its possibilities and limitations. Ph.D. thesis, University of Limberg in Maastrict, Holland (1986).

    Google Scholar 

  15. U. G. Eriksson and T. N. Tozer. Pharmacokinetic evaluation of regional drug delivery.Acta Pharm. Jug. 37:331–344 (1987).

    CAS  Google Scholar 

  16. R. L. Dedrick. Interspecies scaling of regional drug delivery.J. Pharm. Sci. 75:1047–1052 (1986).

    Article  CAS  PubMed  Google Scholar 

  17. S. Øie and J.-D. Huang. The influence of administration route on drug delivery to a target organ.J. Pharm. Sci. 70:1344–1347 (1981).

    Article  PubMed  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boddy, A.V., Aarons, L.J. Application of a linear recirculation model to drug targeting. Journal of Pharmacokinetics and Biopharmaceutics 19, 355–362 (1991). https://doi.org/10.1007/BF03036256

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03036256

Key Words

Navigation