On immunotherapies and cancer vaccination protocols: A mathematical modelling approach

Journal of Theoretical Biology

Volumn 259, Issue 4, 2009, Pages 820-827

  Joshi, Badal ^a   Wang, Xueying ^a   Banerjee, Sayanti ^a   Tian, Haiyan ^b   Matzavinos, Anastasios ^c   Chaplain, Mark A J ^d  

^a OHIO STATE UNIVERSITY   (United States)

^b The University of Southern Mississippi   (United States)

^c IOWA STATE UNIVERSITY   (United States)

^d UNIVERSITY OF DUNDEE   (United Kingdom)

Author keywords

Cancer dormancy; Cancer recurrence; Cancer vaccination; Cytotoxic T lymphocytes; Immunotherapy

Indexed keywords

DENDRITIC CELL VACCINE; FAS LIGAND;

ANTIGEN; CANCER; CYTOLOGY; IMMUNIZATION; NUMERICAL MODEL; TUMOR; VACCINATION;

ADOPTIVE IMMUNOTHERAPY; ANTIGEN PRESENTATION; ANTIGEN PRESENTING CELL; APOPTOSIS; ARTICLE; CANCER IMMUNIZATION; CANCER IMMUNOTHERAPY; CANCER RECURRENCE; CD8+ T LYMPHOCYTE; COMPUTER SIMULATION; CONTROLLED STUDY; CYTOTOXIC T LYMPHOCYTE; IMMUNOSTIMULATION; LYMPHOCYTE COUNT; MATHEMATICAL MODEL; PASSIVE IMMUNIZATION; PRIORITY JOURNAL; QUANTITATIVE ANALYSIS; SIGNAL TRANSDUCTION; TUMOR ASSOCIATED LEUKOCYTE; TUMOR REGRESSION;

ANTIGEN PRESENTATION; ANTIGEN-PRESENTING CELLS; CANCER VACCINES; HUMANS; IMMUNOTHERAPY; MODELS, IMMUNOLOGICAL; NEOPLASMS; RECURRENCE; T-LYMPHOCYTES, CYTOTOXIC;

EID: 67650756469     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2009.05.001     Document Type: Article

References (50)

1. Abbas A., Lichtman A., and Pillai S. Cellular and Molecular Immunology. sixth ed. (2007), Saunders, Elsevier, New York, Amsterdam
2. Ambrosi D., Bellomo N., and Preziosi L. Modelling tumor progression, heterogeneity, and immune competition. J. Theor. Med. 4 (2002) 51-65
3. Arciero J., Jackson T., and Kirschner D. A mathematical model of tumor-immune evasion and siRNA treatment. Discrete Continuous Dynamical Syst. Ser. B 4 (2004) 39-58
4. Arlotti L., Gamba A., and Lachowicz M. A kinetic model of tumor/immune system cellular interactions. J. Theor. Med. 4 (2002) 39-50
5. Banchereau J., and Palucka A. Dendritic cells as therapeutic vaccines against cancer. Nat. Rev. Immunol. 5 (2005) 296-306
6. Bellomo N., Bellouquid A., and De Angelis E. The modelling of the immune competition by generalized kinetic (Boltzmann) models: review and research perspectives. Math. Comput. Modelling 37 (2003) 65-86
7. Bellomo N., Bellouquid A., and Delitala M. Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Math. Models Methods Appl. Sci. 14 (2004) 1683-1733
8. Bellomo N., and Delitala M. From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells. Phys. Life Rev. 5 (2008) 183-206
9. Bellomo N., Firmani B., and Guerri L. Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition. Appl. Math. Lett. 12 (1999) 39-44
10. Bellomo N., and Preziosi L. Modelling and mathematical problems related to tumor evolution and its interaction with the immune system. Math. Comput. Modelling 32 (2000) 413-452
11. Bodnar M., and Foryś U. Three types of simple DDEs describing tumor growth. J. Biol. Syst. 15 (2007) 453-471
12. Chaplain M., Kuznetsov V., James Z., and Stepanova L. Spatio-temporal dynamics of the immune system response to cancer. In: Horn M.A., Simonett G., and Webb G. (Eds). Mathematical Models in Medical and Health Sciences (1998), Vanderbilt University Press 1-20
13. Chaplain M., and Matzavinos A. Mathematical modelling of spatio-temporal phenomena in tumour immunology. In: Friedman A. (Ed). Tutorials in Mathematical Biosciences III: Cell Cycle, Proliferation, and Cancer. Lecture Notes in Mathematics vol. 1872 (2006), Springer, Berlin 131-183
14. De Angelis E., Delitala M., Marasco A., and Romano A. Bifurcation analysis for a mean field modelling of tumor and immune system competition. Math. Comput. Modelling 37 (2003) 1131-1142
15. de Pillis L., Gu W., and Radunskaya A. Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations. J. Theor. Biol. 238 (2006) 841-862
16. Delitala M. Critical analysis and perspectives on kinetic (cellular) theory of immune competition. Math. Comput. Modelling 35 (2002) 63-75
17. Dudley M., Yang J., Sherry R., Hughes M., Royal R., Kammula U., Robbins P., Huang J., Citrin D., Leitman S., Wunderlich J., Restifo N., Thomasian A., Downey S., Smith F., Klapper J., Morton K., Laurencot C., White D., and Rosenberg S. Adoptive cell therapy for patients with metastatic melanoma: evaluation of intensive myeloablative chemoradiation preparative regimens. J. Clin. Oncol. 26 (2008) 5233-5239
18. Durand R., and Sutherland R. Growth and cellular characteristics of multicell spheroids. Recent Results Cancer Res. 95 (1984) 24-49
19. Ermentrout G. Simulating, analyzing, and animating dynamical systems: a guide to XPPAUT for researchers and students. Software Environ. Tools vol. 14 (2002), SIAM
20. Foryś U. Marchuk's model of immune system dynamics with application to tumour growth. J. Theor. Med. 4 (2002) 85-93
21. Gatenby R. Models of tumor-host interaction as competing populations: implications for tumor biology and treatment. J. Theor. Biol. 176 (1995) 447-455
22. Gatenby R. Application of competition theory to tumour growth: implications for tumour biology and treatment. Eur. J. Cancer 32A (1996) 722-726
23. Gattinoni L., Powell Jr. D., Rosenberg S., and Restifo N. Adoptive immunotherapy for cancer: building on success. Nat. Rev. Immunol. 6 (2006) 383-393
24. Gilboa E. The promise of cancer vaccines. Nat. Rev. Immunol. 4 (2004) 401-411
25. Kelly C., Leek R., Byrne H., Cox S., Harris A., and Lewis C. Modelling macrophage infiltration into avascular tumours. J. Theor. Med. 4 (2002) 21-38
26. Kirschner D., and Panetta J. Modeling immunotherapy of the tumor immune interaction. J. Math. Biol. 37 (1998) 235-252
27. Kronik N., Kogan Y., Vainstein V., and Agur Z. Improving alloreactive CTL immunotherapy for malignant gliomas using a simulation model of their interactive dynamics. Cancer Immunol. Immunother. 57 (2008) 425-439
28. Kuznetsov V., Makalkin I., Taylor M., and Perelson A. Nonlinear dynamics of immunogenic tumours: parameter estimation and global bifurcation analysis. Bull. Math. Biol. 56 (1994) 295-321
29. Kyle A., Chan C., and Minchinton A. Characterization of three-dimensional tissue cultures using electrical impedance spectroscopy. Biophys. J. 76 5 (1999) 2640-2648
30. + T cells impinge on tumor immunobiology: the differential response of tumors to therapies. J. Immunol. 179 (2007) 5659-5668
31. Marsden V., and Strasser A. Control of apoptosis in the immune system: Bcl-2, BH3-only proteins and more. Annu. Rev. Immunol. 21 (2003) 71-105
32. Matzavinos A., and Chaplain M. Travelling-wave analysis of a model of the immune response to cancer. C.R. Biol. 327 (2004) 995-1008
33. Matzavinos A., Chaplain M., and Kuznetsov V. Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour. IMA J. Math. Med. Biol. 21 (2004) 1-34
34. Mihalyo M., Hagymasi A., Slaiby A., Nevius E., and Adler A. Dendritic cells program non-immunogenic prostate-specific T cell responses beginning at early stages of prostate tumorigenesis. Prostate 67 (2007) 536-546
35. O'Connell J., Bennett M., O'Sullivan G., Collins J., and Shanahan F. The Fas counterattack: cancer as a site of immune privilege. Immunol. Today 20 1 (1999) 46-50
36. Owen M., and Sherratt J. Pattern formation and spatio-temporal irregularity in a model for macrophage-tumour interactions. J. Theor. Biol. 189 (1997) 63-80
37. Owen M., and Sherratt J. Modelling the macrophage invasion of tumours: effects on growth and composition. IMA J. Math. Appl. Med. Biol. 15 (1998) 165-185
38. Owen M., and Sherratt J. Mathematical modelling of macrophage dynamics in tumours. Math. Models Methods Appl. Sci. 9 (1999) 513-539
39. Parmiani, G., Lotze, M., (Eds.), 2002. Tumor immunology: molecularly defined antigens and clinical applications. In: Tumor Immunology and Immunotherapy Series, vol. 1. Taylor & Francis, London.
40. Prigogine I., and Lefever R. Stability problems in cancer growth and nucleation. Comput. Biochem. Physiol. 67 (1980) 389-393
41. Raitakari M., Brown R., Gibson J., and Joshua D. T cells in myeloma. Hematol. Oncol. 21 1 (2003) 33-42
42. Ries, L., Melbert, D., Krapcho, M., Mariotto, A., Miller, B., Feuer, E., Clegg, L., Horner, M., Howlader, N., Eisner, M., Reichman, M., Edwards, B. (Eds.), 2007. SEER Cancer Statistics Review, 1975-2004. National Cancer Institute, Bethesda, MD 〈http://seer.cancer.gov/csr/1975_2004/〉.
43. Sherratt J., Perumpanani A., and Owen M. Pattern formation in cancer. In: Chaplain M., Singh G., and McLachlan J. (Eds). On Growth and Form: Spatio-temporal Pattern Formation in Biology (1999), Wiley
44. Siu H., Vitetta E., May R., and Uhr J. Tumour dormancy. regression of BCL tumour and induction of a dormant tumour state in mice chimeric at the major histocompatibility complex. J. Immunol. 137 (1986) 1376-1382
45. Szymańska Z. Analysis of immunotherapy models in the context of cancer dynamics. Appl. Math. Comput. Sci. 13 (2003) 407-418
46. Uhr J., and Marches R. Dormancy in a model of murine B cell lymphoma. Semin. Cancer Biol. 11 (2001) 277-283
47. Webb S., Sherratt J., and Fish R. Cells behaving badly: a theoretical model for the Fas/FasL system in tumour immunology. Math. Biosci. 179 (2002) 113-129
48. Weinberg R. The Biology of Cancer, Garland Science (2007), Taylor & Francis, London
49. Wodarz D. Killer cell dynamics: mathematical and computational approaches to immunology. Interdisciplinary Applied Mathematics vol. 32 (2007), Springer, Berlin
50. Zhang X., Moche J., Farber D., and Strome S. Vaccine-based approaches to squamous cell carcinoma of the head and neck. Oral Dis. 13 (2007) 17-22