Skip to main content
Log in

Heuristic modeling of drug delivery to malignant brain tumors

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

Abstract

It is apparent that chemotherapy against malignant brain tumors is generally ineffective. While some agents are more effective than others, none appreciably alters the clinical course of and the poor prognosis for patients with brain tumors. Even though new and more effective agents are being or will be developed, chemotherapy depends as much on the delivery of drug as it does on the drug used. Therefore, we have defined factors that we believe are of primary importance in drug delivery to brain tumors, and, using computer simulation, we have modeled the effects of these factors. In this article we discuss (a) the extent of the “breakdown” in the blood-brain barrier (BBB) that accompanies the development of malignant tumors in the brain, (b) factors that influence drug transport from tumor capillaries to tumor cells at varying distances from the capillaries, (c) the problems inherent in drug delivery from a well-vascularized tumor outward to normal brain tissue that might harbor malignant cells but that does not have leaky vessels (i.e., normal BBB), and (d) the difficulties in drug delivery from a well-perfused, highly permeable outer tumor shell to a central, poorly perfused tumor core.

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. V. A. Levin and C. B. Wilson. Chemotherapy: Agents in current use.Sem. Oncol. 2:63–67 (1975).

    CAS  Google Scholar 

  2. R. I. Geran, G. F. Congleston, and L. E. Dudeck. A mouse ependymoblastoma as an experimental model for screening potential antineoplastic drugs.Cancer Chemother. Rep. 4:53–87 (1974).

    CAS  Google Scholar 

  3. V. A. Levin and P. M. Kabra. Effectiveness of the nitrosoureas as a function of their lipid solubility in the chemotherapy of experimental rat brain tumors.Cancer Chemother. Rep. 58:787–792 (1974).

    CAS  PubMed  Google Scholar 

  4. J. D. Fenstermacher, D. P. Rall, C. S. Patlak, and V. A. Levin. Ventriculocisternal perfusion as a technique for analysis of brain capillary permeability and extracellular transport. InCapillary Permeability, Munksgaard, Copenhagen, 1970, pp. 483–490.

    Google Scholar 

  5. C. S. Patlak and J. D. Fenstermacher. Measurement of dog blood-brain barrier transfer constants by ventriculocisternal perfusion.Am. J. Physiol. 229:877–884 (1975).

    CAS  PubMed  Google Scholar 

  6. E. J. Schantz and M. A. Lauffer. Diffusion measurements in agar gel.Biochemistry 1:658–663 (1962).

    Article  CAS  PubMed  Google Scholar 

  7. R. J. Weinkam and H.-S. Lin. Direct reaction mixture analysis by probe intersection chemical ionization mass spectrometry.Anal. Chem. 51:972–975 (1979).

    Article  CAS  Google Scholar 

  8. R. G. Blasberg, C. S. Patlak, and J. D. Fenstermacher. Intrathecal chemotherapy: Brain tissue profiles after ventriculo-cisternal perfusion.J. Pharmacol. Exp. Ther. 195:73–83 (1975).

    CAS  PubMed  Google Scholar 

  9. V. A. Levin, J. D. Fenstermacher, and C. S. Patlak. Sucrose and inulin space measurements of cerebral cortex in four mammalian species.Am. J. Physiol. 219:1528–1533 (1970).

    CAS  PubMed  Google Scholar 

  10. V. A. Levin, H. D. Landahl, and M. A. Freeman-Dove. The application of brain capillary permeability coefficient measurements of pathologic conditions and the selection of agents which cross the blood-brain barrier.J. Pharmacokin. Biopharm. 4:499–519 (1976).

    Article  CAS  Google Scholar 

  11. V. A. Levin, M. S. Edwards, and A. Byrd. Quantitative observations of the acute effects of X-irradiation on brain tumor capillary permeability.Int. J. Radiat. Oncol. Biol. Phys. 5:1627–1631 (1979).

    Article  CAS  PubMed  Google Scholar 

  12. V. A. Levin, P. M. Kabra, and M. A. Freeman-Dove. Relationship of 1,3-bis(2-chloroethyl)-1-nitrosourea (BCNU) and 1-P-chloroethyO-S-cyclohexyl-1-nitrosourea (CCNU) pharmacokinetics to uptake, distribution, and tissue/plasma partitioning in rat organs and intracerebral tumors.Cancer Chemother. Pharmacol. 1:233–242 (1978).

    CAS  PubMed  Google Scholar 

  13. V. A. Levin and M. Chadwick. Distribution of 5-fluorouracil-2-14C and its metabolites in a murine glioma.J. Natl. Cancer Inst. 49:1577–1584 (1972).

    CAS  PubMed  Google Scholar 

  14. V. A. Levin, M. A. Freeman-Dove, and C. E. Maroten. Dianhydrogalactitol (NCS-132313) pharmacokinetics in normal and tumor bearing rat brain and antitumor activity against three intracerebral rodent tumors.J. Natl. Cancer Inst. 56:535–539 (1976).

    CAS  PubMed  Google Scholar 

  15. P. A. Harris and J. F. Gross. Preliminary pharmacokinetic model for adriamycin.Cancer Chemother. Rep. 59:819–825 (1975).

    CAS  PubMed  Google Scholar 

  16. P. G. W. Plagemann, R. Marz, and R. M. Wohlhueter. Transport and metabolism of deoxycytidine and 1-3-d-arabino-furanosyl-cytosine into cultured Novikoff rat hepatoma cells, relationship to phosphorylation, and regulation of triphosphate synthesis.Cancer Res. 38:978–989 (1978).

    CAS  PubMed  Google Scholar 

  17. V. A. Levin, M. A. Freeman-Dove, and H. D. Landahl. The permeability characteristics of the brain adjacent to intracerebral rodent tumors.Arch. Neurol. 32:785–791 (1975).

    Article  CAS  PubMed  Google Scholar 

  18. R. G. Blasberg, C. S. Patlak, W. R. Shapiro, and J. D. Fenstermacher. Metastatic brain tumors: Local blood flow and capillary permeability.Neurology (Minneapolis) 29:547 (1979) (abstr.).

    Article  Google Scholar 

  19. N. A. Vick and D. Bigner. Microvascular abnormalities in virally induced canine brain tumors.J. Neurol. Sci. 17:29–39 (1972).

    Article  CAS  PubMed  Google Scholar 

  20. V. A. Levin, D. C. Wright, H. D. Landahl, C. S. Patlak, and J. Csejtey.In situ drug delivery.Br. J. Cancer 41:74–78 (1980) (Suppl. IV).

    Google Scholar 

  21. A. Krogh.The Anatomy and Physiology of Capillaries, Yale University Press, New Haven, 1929.

    Book  Google Scholar 

  22. D. G. Levitt. Theoretical model of capillary exchange incorporating interaction between capillaries.Am. J. Physiol. 220:250–255 (1972).

    Google Scholar 

  23. P. M. Gullimo and F. M. Grantham. Studies on the exchange of fluids between host and tumor. II. Blood flow studies of hepatomas and other tumors in rats and mice.J. Natl. Cancer. Inst. 27:1465–1491 (1960).

    Google Scholar 

  24. E. Siracka, N. Poppova, V. Pipa, and J. Durkovsky. Changes in blood flow of growing experimental tumor determined by the clearance of133Xe.Neoplasma 26:173–177 (1979).

    CAS  PubMed  Google Scholar 

  25. J. D. Weinstein, F. J. Toy, M. E. Jaffe, and H. I. Goldgerg. The effects of dexamethasone on brain edema in patients with metastatic brain tumors.Neurology (Minneapolis) 23:121–129 (1973).

    Article  CAS  Google Scholar 

  26. D. Norman, W. Berninger, D. Boyd, V. A. Levin, and T. H. Newton. Dynamic computed tomography. Presented at the XIth Symposium Neuroradiologicum, 4–10 June, 1978, Wiesbaden, West Germany (abstr.).

  27. K. T. Wheeler, E. F. Tel, M. E. Williams, S. Sheppard, V. A. Levin, and P. M. Kabra. Factors influencing the survival of rat brain tumor cells afterin vitro treatment with 1,3-bis(2-chloroethyl)-1-nitrosourea.Cancer Res. 35:1464–1469 (1975).

    CAS  PubMed  Google Scholar 

  28. V. A. Levin, J. Stearns, A. Byrd, A. Finn, and R. J. Weinkam. The effect of phenobarbital pretreatment on the antitumor activity of 1,3-bis(2-chloroethyl)-1-nitrosourea (BCNU), 1-(2-chloroethyl)-3-cyclohexyl-1-nitrosourea (CCNU), and 1-(2-chloroethyl)-3-(2,6-dioxo-3-piperidyl)-1-nitrosourea (PCNU), and on the plasma pharmacokinetics and bio-transformation of BCNU.J. Pharmacol. Exp. Ther. 208:1–7 (1979).

    CAS  PubMed  Google Scholar 

  29. R. J. Weinkam, T.-Y. Liu, and H.-S. Lin. Protein mediated chemical reactions of chloroethylnitrosoureas.Chem. Biol. Interact. (in press).

  30. M. R. Rosenblum, K. T. Wheeler, C. B. Wilson, M. Barker, and K. D. Knebel.In vitro evaluation ofin vivo brain tumor chemotherapy with 1,3-bis(2-chloroethyl)-1-nitrosourea.Cancer Res. 35:1387–1391 (1975).

    CAS  PubMed  Google Scholar 

  31. V. A. Levin, K. T. Wheeler, and C. B. Wilson. Chemotherapeutic approaches to brain tumors: Clinical and experimental observations with dianhydrogaiactitol and dibromodulcitol.Cancer Treat. Rep. (in press).

  32. P. Espana, P. H. Wiernik, and M. D. Walker. Phase II study of dianhydrogaiactitol in malignant glioma.Cancer Chemother. Rep. 62:1199–1200 (1978).

    CAS  Google Scholar 

  33. J. I. Ausman, V. A. Levin, W. E. Brown, D. P. Rall, and J. D. Fenstermacher. Brain tumor chemotherapy: Pharmacologic principles derived from a monkey tumor model.J. Neurosurg. 46:155–164 (1977).

    Article  CAS  PubMed  Google Scholar 

  34. M. G. Donelli, M. Broggini, T. Colombo, and S. Garattini. Importance of the presence of necrosis in studying drug distribution within a tumor tissue.Ear. J. Drug Metabol. Pharmacokin. 2:63–67 (1977).

    Article  CAS  Google Scholar 

  35. R. J. Goldacre. Viable tumor regions accessible to chemotherapeutic agents and a possible new strategy for inactivating them.Br. J. Cancer 36:406 (1977).

    Google Scholar 

  36. V. A. Levin. Relationship of octanal/water partition coefficients and molecular weight to rat brain capillary permeability.J. Med. Chem. 23:682–684 (1980).

    Article  CAS  PubMed  Google Scholar 

  37. I. F. Tannock. The relation between cell proliferation and the vascular system in a transplanted mouse mammary tumor.Br. J. Cancer 22:258–273 (1968).

    Article  CAS  PubMed Central  PubMed  Google Scholar 

  38. H. S. Carslaw and J. C. Jaeger,Conduction of Heat in Solids, 2nd ed., Oxford University Press, New York, 1959, pp. 63, 247.

    Google Scholar 

  39. T. Hoshino, C. B. Wilson, M. L. Rosenblum, and M. Barker. Chemotherapeutic implication of growth fraction and cell cycle time in glioblastoma.J. Neurosurg. 43:127–137 (1975).

    Article  CAS  PubMed  Google Scholar 

  40. N. A. Lassen and W. A. Perl.Tracer Kinetic Methods in Medical Physiology. Raven Press, New York, 1979.

    Google Scholar 

  41. J. J. Blum. Concentration profiles in and around capillaries.Am. J. Physiol. 198:991–998 (1960).

    CAS  PubMed  Google Scholar 

  42. S. Kety. The theory and application of the exchange of inert gas at the lungs and tissues.Pharmacol. Rev. 3:1–41 (1951).

    CAS  PubMed  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was supported by American Cancer Society Grant CH-75 and NIH Program Project Grant CA-13525. V. A. L. is the recipient of an American Cancer Society Faculty Research Award (FRA-155).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Levin, V.A., Patlak, C.S. & Landahl, H.D. Heuristic modeling of drug delivery to malignant brain tumors. Journal of Pharmacokinetics and Biopharmaceutics 8, 257–296 (1980). https://doi.org/10.1007/BF01059646

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01059646

Key words

Navigation