Mathematical modelling of the use of macrophages as vehicles for drug delivery to hypoxic tumour sites

Journal of Theoretical Biology

Volumn 226, Issue 4, 2004, Pages 377-391

  Owen, Markus R ^a   Byrne, Helen M ^b   Lewis, Claire E ^c  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^c UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

Cancer; Hypoxia; Immunotherapy; Macrophage; TAM

Indexed keywords

CHEMOKINE; OXYGEN;

CANCER; DRUG DEVELOPMENT; MACROPHAGE; TUMOR;

ARTICLE; CELL DEATH; CELL INFILTRATION; CELL INTERACTION; CELL PROLIFERATION; CHEMOTAXIS; DRUG DELIVERY SYSTEM; EXTRACELLULAR FLUID; HYPOXIA; MACROPHAGE; MATHEMATICAL MODEL; NUTRIENT; PRIORITY JOURNAL; SOLID TUMOR; TUMOR CELL; TUMOR VOLUME;

EID: 0842348242     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jtbi.2003.09.004     Document Type: Article

References (38)

1. Anderson A.R.A., Chaplain M.A.J. Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull. Math. Biol. 60(5):1998;857-899.
2. Andreesen R., Hennemann B., Krause S.W. Adoptive immunotherapy of cancer using monocyte-derived macrophages. rationale, current status, and perspectives J. Leuk. Biol. 64:1998;419-426.
3. Berg H.C., Purcell E.M. Physics of chemoreception. Biophys. J. 20:1977;193-219.
4. Breward C.J.W., Byrne H.M., Lewis C.E. The role of cell-cell interactions in a two-phase model for avascular tumour growth. J. Math. Biol. 45:2002;125-152.
5. Breward C.J.W., Byrne H.M., Lewis C.E. A multiphase model describing vascular tumour growth. Bull. Math. Biol. 65:2003;609-640.
6. Burke B., Sumner S., Maitland N., Lewis C.E. Macrophages in gene therapy: cellular delivery vehicles and in vivo targets. J. Leuk. Biol. 72:2002;417-428.
7. Byrne H.M., King J.R., McElwain D.L.S., Preziosi L. A two-phase model of solid tumor growth. Appl. Math. Lett. 16:2003;567-573.
8. Casciari J.J., Sotirchos S.V., Sutherland R.M. Glucose diffusivity in multicellular tumour spheroids. Cancer Res. 48:1988;3905-3909.
9. Drasdo D., Hohme S. Individual-based approaches to birth and death in avascular tumors. Math. Comp. Modelling. 37(11):2003;1163-1175.
10. Folkman J. Tumour angiogenesis. Adv. Cancer. Res. 19:1974;331-358.
11. Fontelos M.A., Friedman A., Hu B. Mathematical analysis of a model for the initiation of angiogenesis. SIAM J. Math. Anal. 33(6):2002;1330-1355.
12. Franks S.J., King J.R. Interactions between a uniformly proliferating tumour and its surroundings: uniform material properties. IMA J. Math. Appl. Med. Biol. 20:2003;47-89.
13. Freyer J.P., Sutherland R.M. Determination of apparent diffusion constants for metabolites in multicell tumour spheroids. Adv. Exp. Med. Biol. 159:1983;463-475.
14. Friedman A., Reitich F. Analysis of a mathematical model for the growth of tumors. J. Math. Biol. 38(3):1999;262-284.
15. Greenspan H.P. On the growth and stability of cell cultures and solid tumors. J. Theor. Biol. 56:1976;229-242.
16. Griffiths L., Binley K., Iqball S., Kan O., Maxwell P., Ratcliffe P., Lewis C., Harris A., Kingsman S., Naylor S. The macrophage - a novel system to deliver gene therapy to pathological hypoxia. Gene Therapy. 7:2000;255-262.
17. Hlatky L., Suchs R.K., Alpen E.L. Joint oxygen-glucose deprivation as the cause of necrosis in a tumour analogue. J. Cell. Phys. 134:1988;167-178.
18. Howell W.M., Bateman A.C., Turner S.J., Collins A., Theaker J.M. Influence of vascular endothelial growth factor single nucleotide polymorphisms on tumour development in cutaneous malignant melanoma. Genes Immun. 3:2002;229-232.
19. Ichikura T., Tomimatsu S., Ohkura E., Mochizuki H. Prognostic significance of the expression of vascular endothelial growth factor (VEGF) and VEGF-C in gastric carcinoma. J. Surg. Oncol. 78:2001;132-137.
20. Jackson T.L., Byrne H.M. A mechanical model of tumor encapsulation and transcapsular spread. Math. Biosci. 180:2002;307-328.
21. Jackson T.L., Lubkin S.R., Murray J.D. Theoretical analysis of conjugate localization in two-step cancer chemotherapy. J. Math. Biol. 39:1999;353-376.
22. Jackson T.L., Senter P.D., Murray J.D. Development and validation of a mathematical model to describe anti-cancer prodrug activation by antibody-enzyme conjugates. J. Theor. Med. 2:2000;93-111.
23. Kelly, C.E., 2002. Mathematical modelling of macrophage-mediated therapy in cancer. Ph.D. Thesis, University of Nottingham, Nottingham.
24. Kelly C.E., Leek R.D., Byrne H.M., Cox S.M., Harris A.L., Lewis C.E. Modelling macrophage infiltration into avascular tumours. J. Theor. Med. 4:2002;21-38.
25. Leek, R.D., 1999. The role of tumour associated macrophages in breast cancer angiogenesis. Ph.D. Thesis, Oxford Brookes University, Oxford.
26. Levine H.A., Pamuk S., Sleeman B.D., Nilsen-Hamilton M. Mathematical modeling of capillary formation and development in tumor angiogenesis. penetration into the stroma Bull. Math. Biol. 63(5):2001;801-863.
27. Lewis J.S., Lee J.A., Underwood J.C.E., Harris A.L., Lewis C.E. Macrophage responses to hypoxia. relevance to disease mechanisms J. Leuk. Biol. 66:1999;889-900.
28. Lubkin S.R., Jackson T. Multiphase mechanics of capsule formation in tumors. J. Biomed. Eng. 124:2002;237-243.
29. Maxwell P.H., Dachs G.U., Gleadle J.M., Nicholls L.G., Harris A.L., Stratford I.J., Hankinson O., Pugh C.W., Ratcliffe P.J. Hypoxia-inducible factor-1 modulates gene expression in solid tumors and influences both angiogenesis and tumor growth. Proc. Natl. Acad. Sci. USA. 94:1997;8104-8109.
30. Owen M.R., Sherratt J.A. Pattern formation and spatiotemporal irregularity in a model for macrophage-tumour interactions. J. Theor. Biol. 189:1997;63-80.
31. Scotton C., Milliken D., Wilson J., Raju S., Balkwill F. Analysis of CC chemokine and chemokine receptor expression in solid ovarian tumours. Br. J. Cancer. 85:2001;891-897.
32. Sherratt J.A. Chemotaxis and chemokinesis in eukaryotic cells. the Keller-Segel equations as an approximation to a detailed model Bull. Math. Biol. 56:1994;129-146.
33. Sica A., Saccani A., Bottazzi B., Bernasconi S., Allavena P., Gaetano B., Fei F., LaRosa G., Scotton C., Balkwill F., Mantovani A. Defective expression of the monocyte chemotactic protein-1 receptor CCR2 in macrophages associated with human ovarian carcinoma. J. Immunol. 164:2000;733-738.
34. Sozzani S., Luini W., Molino M., Jilek P., Bottazzi B., Cerletti C., Matsushima K., Mantovani A. The signal transduction pathway involved in the migration induced by a monocyte chemotactic cytokine. J. Immunol. 147:1991;2215-2221.
35. Ward J.P., King J.R. Mathematical modelling of avascular tumour growth. IMA J. Math. Appl. Med. Biol. 14:1997;39-69.
36. Ward J.P., King J.R. Mathematical modelling of avascular tumour growth II. modelling growth saturation IMA J. Math. Appl. Med. Biol. 16:1999;171-211.
37. Wiegel F.W. Diffusion and the physics of chemoreception. Phys. Rep. 95:1983;284.
38. Wu J.T., Byrne H.M., Kirn D.H., Wein L.M. Modeling and analysis of a virus that replicates selectively in tumor cells. Bull. Math. Biol. 63:2001;731-768.