Optimal tumour targeting by antibodies: Kinetic consideration

Advanced Drug Delivery Reviews

Volumn 19, Issue 3, 1996, Pages 469-484

  Rouse, M K ^a   Chappell, M J ^a   Bradwell, A R ^b  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

Effective radiation dose; Monoclonal antibody; Tumor killing; Tumor targeting

Indexed keywords

COMPUTER SIMULATION; DOSIMETRY; MATHEMATICAL MODELS; MONOCLONAL ANTIBODIES; RADIOISOTOPES; REACTION KINETICS; TISSUE;

THERAPEUTIC INDEX; TUMOR KILLING; TUMOR TARGETING;

CONTROLLED DRUG DELIVERY;

CANCER ANTIBODY; IMMUNOGLOBULIN G; IODINE 131; MONOCLONAL ANTIBODY; PHOSPHORUS 32; TRITIUM; YTTRIUM 90;

BINDING AFFINITY; CANCER IMMUNOTHERAPY; CANCER RADIOTHERAPY; CANCER SIZE; COMPUTER SIMULATION; DRUG TARGETING; KINETICS; MODEL; PRIORITY JOURNAL; RADIATION DOSE; REVIEW; TUMOR CELL DESTRUCTION;

EID: 0030580941     PISSN: 0169409X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0169-409X(96)00014-2     Document Type: Review

References (36)

1. [1] Chappell, M.J., Godfrey, K.R., Thomas, G.D. and Bradwell A.R. (1991) Optimal tumour targeting by antibodies: Development, of a mathematical model. J. Pharm. Biopharm., 19, 227-260.
2. [2] Thomas, G.D., Chappell, M.J., Dykes, P.W., Ramsden, D.B., Godfrey, K.R., Ellis, J.R.M. and Bradwell, A.R. (1989) Effect of dose, molecular size, affinity and protein binding on tumour uptake of antibody or ligand: A biomathematical model. Cancer Res., 49, 3290-3296.
3. [3] Chappell, M.J., Attard, A.R., Crabb, S., Thomas, G.D., Dykes, P.W., Godfrey, K.R. and Bradwell, A.R. (1991) Computer simulation of tumour killing using radio-labeled antibodies. Antib. Immunoconj. Radiopharm., 4. 745-751.
4. [4] Attard, A.R., Chappell, M.J. and Bradwell, A.R. (1995) Model based calculation for effective cancer radio-immunotherapy. Br. J. Radiol., in press.
5. [5] Rouse, M.K. (1995) Mathematical Modelling of Tumour Killing and Scanning. Ph.D. thesis, University of Warwick, Coventry.
6. [6] Dykes, P.W., Bradwell, A.R., Chapman, C.E. and Vaughan, A.T.M. (1987) Radioimmunology of cancer: clinical studies and limiting factors. Cancer Treat. Rev., 14, 87-106.
7. [7] Sitzmann, J.V., Order, S.E., Kleinz, J.L., Leichner, P.K., Fishman, E.K. and Smith, G.W. (1987) Conversion by new treatment modalities of non-resectable or resectable hepatocellular cancer. J. Clin. Oncol., 5, 1566-1573.
8. [8] Order, S.E., Klein, J.L., Ettinger, D., Alderson, P., Siegelman, S. and Leichner, P. (1980) Use of isotopic immunoglobulin in therapy. Cancer Res., 40, 3001-3007.
9. [9] Lenhard, R.E., Order, S.E., Spunberg, J.J., Asbell, S.O. and Leibel, S.A. (1985) Isotopic immunoglobulin: a new systemic therapy for advanced Hodgkin's disease. J. Clin. Oncol., 3, 1296-1300.
10. [10] Jain, R.K. and Baxter, L.T. (1988) Mechanisms of heterogenous distribution of monoclonal antibodies and other macromolecules in tumours: significance of elevated interstitial pressure. Cancer Res., 48, 7022-7032.
11. [11] Cobb, L.M. (1989) Intratumour factors influencing access of antibody to tumour cells. Cancer Immunol. Immunother., 28, 235-240.
12. [12] Fowler, J.F. (1990) Radiobiological aspects of low dose rates in radioimmunotherapy. Int. J. Radiat. Oncol. Biol. Phys., 18, 1261-1269.
13. [13] Dedrick, R.L., Zaharko, D.S., Bender, R.A., Bleyer, W.A. and Lutz, R.J. (1975) Pharmacokinetic considerations on resistance to anti-cancer drugs. Cancer Ther. Rep., 59, 795-804.
14. [14] DiStefano III, J.J. and Chang, R.F. (1971) Computer simulation of thyroid hormone binding distribution and disposal dynamics in man. Am. J. Physiol., 221, 1529-1544.
15. [15] Godfrey K.R. and DiStefano III, J.J. (1987) Identifiability of model parameters. In: E. Walter (ed.), Identifiability of Parametric Models, Pergamon, London, pp. 1-20.
16. [16] Ishikawa, H., Maeda, T., Hikita, H. and Miyatake, K. (1988) The computerised derivation of rate equations for enzyme reactions on the basis of the pseudo-steady-state assumption and the rapid equilibrium assumption. Biochem. J., 251, 175-181.
17. [17] Koizumi, K., DeNardo, G.L., DeNardo, S.J., Hays, M.T., Hines, H.H., Scheibe, P.O., Peng, J.-S., Macey, D.-J., Tonami, N. and Hisada, K. (1986) Multi-compartmental analysis of the kinetics of radioiodinated monoclonal antibodies in patients with cancer. J. Nucl. Med., 27, 1243-1254.
18. 2 and fab' in mice. Cancer Res., 46, 3969-3978.
19. 111in-labeled monoclonal antibody in humans. Cancer Res., 47, 3328-3336.
20. [20] Zeeburg, B.R. and Wagner Jr, H.N. (1987) Analysis of 3-and 4-compartment models for in vivo radioligand-neuroreceptor interaction. Bull. Math. Biol., 49, 469-486.
21. [21] Vaughan, A.T.M., Anderson, P., Dykes, P.W., Chapman, C.E. and Bradwell, A.R. (1987) Limitations to tumour killing using radiolabeled antibodies. Br. J. Radiol., 60, 567-572.
22. [22] Ellis, F. (1968) The relationship of biological effect to dose-time fractionation factors in radiotherapy. Curr. Top. Radiat. Res., 4, 359-397.
23. [23] Attard, A.R., Chappell, M.J., Bennett, J., Godfrey, K.R., Dykes, P.W. and Bradwell, A.R. (1991) Optimal tumour targeting with antibodies, validation of a mathematical model. Antib. Immunoconj. Radiopharm., 4, 435-441.
24. [24] Dale, R.G. (1985) The application of the linear quadratic dose effect equation to fractionated and protracted radiotherapy. Br. J. Radiol., 58, 515-528.
25. [25] Benson, S.W. (1960) The Foundations of Chemical Kinetics (McGraw-Hill Series in Advanced Chemistry). McGraw-Hill, New York, NY.
26. [26] Jacquez, J.A. (1985) Compartmental Analysis in Biology and Medicine. University of Michigan Press, Ann Arbor, MI.
27. [27] Bradwell, A.R., Fairweather, D.S., Dykes, P.W., Keeling, A., Vaughan, A. and Taylor, J. (1985) Limiting factors in the localization of tumours with radiolabeled antibodies. Immunol. Today, 6, 163-170.
28. [28] Gear, C.W. (1971) Numerical Initial Value Problems in Ordinary Differential Equations (Prentice Hall Series in Automatic Computation). Prentice-Hall, Englewood Cliffs, NJ.
29. [29] Rubinow, S.I. (1973) Mathematical Problems in the Biological Sciences. Society for Industrial and Applied Mathematics, Philadelphia.
30. [30] Murray, J.D. (1990) Mathematical Biology. Springer-Verlag, Berlin.
31. [31] Heineken, G., Tsuchiya, H.M. and Aris, R. (1967) On the mathematical status of the pseudo-steady state hypothesis of biochemical kinetics. Math. Biosci., 1, 95-113.
32. [32] Facsimile v3.0 User Guide/Technical Reference. AEA Technology, Harwell, 1994.
33. [33] Dillman, L.T. and Van der Lage, L.C. (1975) MIRD Pamphlet No. 10, Society of Nuclear Medicine, New York, NY.
34. [34] Sikora, K. and Halnan, K.E. (1990) Treatment of Cancer, 2nd edition. Chapman and Hall Medical, New York, NY.
35. [35] Williams, M.V., Denekamp, J. and Fowler, J.F. (1985) A review of α/β ratios for experimental tumours. Int. J. Radiat. Oncol. Biophys., 11, 87-96.
36. [36] Segel, L.A. (1980) Mathematical Models in Molecular and Cellular Biology. Cambridge University Press, Cambridge.