메뉴 건너뛰기




Volumn 16, Issue 8, 2006, Pages 1375-1401

Tumor-immune system interaction: Modeling the tumor-stimulated proliferation of effectors and immunotherapy

Author keywords

Immune system; Interacting populations; Limit cycles; Therapies; Tumor

Indexed keywords


EID: 33747088162     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202506001571     Document Type: Review
Times cited : (68)

References (50)
  • 1
    • 33747144855 scopus 로고    scopus 로고
    • New applications of cancer immunotherapy
    • Ed. S. A. Agarwala, Special Issue
    • Ed. S. A. Agarwala, New applications of cancer immunotherapy, Sem. Oncology, Special Issue 29-3 Suppl. 7 (2003).
    • (2003) Sem. Oncology, Special Issue , vol.29 , Issue.3-7 SUPPL.
  • 3
    • 0040006834 scopus 로고
    • Predators-preys equation simulating immune response
    • I. Bell, Predators-preys equation simulating immune response, Math. Biosci. 16 (1973) 291-314.
    • (1973) Math. Biosci. , vol.16 , pp. 291-314
    • Bell, I.1
  • 4
    • 0034254401 scopus 로고    scopus 로고
    • Modelling and mathematical problems related to tumor evolution and its interaction with the immune system
    • N. Bellomo and L. Preziosi, Modelling and mathematical problems related to tumor evolution and its interaction with the immune system, Math. Comp. Model. 32 (2000) 413-452.
    • (2000) Math. Comp. Model. , vol.32 , pp. 413-452
    • Bellomo, N.1    Preziosi, L.2
  • 5
    • 2542432804 scopus 로고    scopus 로고
    • Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition
    • N. Bellomo, A. Bellouquid and M. Delitala, Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition, Math. Mod. Meth. Appl. Sci. 14 (2004) 1683-1733.
    • (2004) Math. Mod. Meth. Appl. Sci. , vol.14 , pp. 1683-1733
    • Bellomo, N.1    Bellouquid, A.2    Delitala, M.3
  • 6
    • 27644491983 scopus 로고    scopus 로고
    • Introduction to special issue on cancer modelling
    • N. Bellomo and P. K. Maini, Introduction to Special Issue on Cancer Modelling, Math. Mod. Meth. Appl. Sci. 15 (2005) iii.
    • (2005) Math. Mod. Meth. Appl. Sci. , vol.15
    • Bellomo, N.1    Maini, P.K.2
  • 7
    • 27644478289 scopus 로고    scopus 로고
    • Mathematical methods and tools of kinetic theory towards modelling complex biological systems
    • A. Bellouquid and M. Delitala, Mathematical methods and tools of kinetic theory towards modelling complex biological systems, Math. Mod. Meth. Appl. Sci. 15 (2005) 1639-1667.
    • (2005) Math. Mod. Meth. Appl. Sci. , vol.15 , pp. 1639-1667
    • Bellouquid, A.1    Delitala, M.2
  • 9
    • 0042855817 scopus 로고    scopus 로고
    • European code against cancer and scientific justification
    • P. Boyle et al., European code against cancer and scientific justification, Ann. Oncology 14 (2003) 973-1005.
    • (2003) Ann. Oncology , vol.14 , pp. 973-1005
    • Boyle, P.1
  • 11
    • 84960949820 scopus 로고
    • Cancer - A biological approach
    • F. M. Burnet, Cancer - A biological approach, Brit. Med. J. 1 (1957) 841-847.
    • (1957) Brit. Med. J. , vol.1 , pp. 841-847
    • Burnet, F.M.1
  • 12
    • 0000674530 scopus 로고    scopus 로고
    • The effects of functional response on the bifurcation behavior of a mite predator-prey interaction model
    • J. B. Collings, The effects of functional response on the bifurcation behavior of a mite predator-prey interaction model, J. Math. Biol. 36 (1997) 149-168.
    • (1997) J. Math. Biol. , vol.36 , pp. 149-168
    • Collings, J.B.1
  • 14
    • 24744472075 scopus 로고    scopus 로고
    • A validated mathematical model of cell-mediated immune response to tumor growth
    • L. G. de Pillis, A. E. Radunskaya and C. L. Wiseman, A validated mathematical model of cell-mediated immune response to tumor growth, Cancer Res. 65 (2005) 7950-7958.
    • (2005) Cancer Res. , vol.65 , pp. 7950-7958
    • De Pillis, L.G.1    Radunskaya, A.E.2    Wiseman, C.L.3
  • 15
    • 1542316360 scopus 로고    scopus 로고
    • Dynamic response of cancer under the influence of immunological activity and therapy
    • H. P. de Vladar and J. A. Gonzalez, Dynamic response of cancer under the influence of immunological activity and therapy, J. Th. Biol. 227 (2004) 335-348.
    • (2004) J. Th. Biol. , vol.227 , pp. 335-348
    • De Vladar, H.P.1    Gonzalez, J.A.2
  • 16
    • 0242371742 scopus 로고    scopus 로고
    • On the uniqueness of limit cycles for predator-prey systems
    • D. Xiao and Z. F. Zhang, On the uniqueness of limit cycles for predator-prey systems, Nonlinearity 16 (2003) 1185-1201.
    • (2003) Nonlinearity , vol.16 , pp. 1185-1201
    • Xiao, D.1    Zhang, Z.F.2
  • 17
    • 4444221249 scopus 로고    scopus 로고
    • Tumour eradication by antiangiogenic therapy: Analysis and extensions of the model by Hahnfeldt et al. (1999)
    • A. d'Onofrio and A. Gandolfi, Tumour eradication by antiangiogenic therapy: Analysis and extensions of the model by Hahnfeldt et al. (1999), Math. Biosci. 191 (2004) 159-184.
    • (2004) Math. Biosci. , vol.191 , pp. 159-184
    • D'Onofrio, A.1    Gandolfi, A.2
  • 18
    • 23144445934 scopus 로고    scopus 로고
    • A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences
    • A. d'Onofrio, A general framework for modeling tumor-immune system competition and immunotherapy: Mathematical analysis and biomedical inferences, Phys. D 208 (2005) 220-235.
    • (2005) Phys. D , vol.208 , pp. 220-235
    • D'Onofrio, A.1
  • 19
    • 33747125054 scopus 로고    scopus 로고
    • Tumor evasion form immune system control: Strategies of a MISS to become a MASS
    • in press
    • A. d'Onofrio, Tumor evasion form immune system control: strategies of a MISS to become a MASS, Chaos Solitons and Fractal (2006) (in press).
    • (2006) Chaos Solitons and Fractal
    • D'Onofrio, A.1
  • 22
    • 0001415346 scopus 로고
    • Ueber den jetzigen stand der karzinomforschung
    • P. Ehrlich, Ueber den jetzigen Stand der Karzinomforschung, Ned. Tijdschr. Geneeskd. 5 (1909) 273-290.
    • (1909) Ned. Tijdschr. Geneeskd. , vol.5 , pp. 273-290
    • Ehrlich, P.1
  • 23
    • 12144264054 scopus 로고    scopus 로고
    • Analysis of a mathematical model of tumor lymphangiogenesis
    • A. Friedman and G. Lolas, Analysis of a mathematical model of tumor lymphangiogenesis, Math. Mod. Meth. Appl. Sci. 15 (2005) 95-107.
    • (2005) Math. Mod. Meth. Appl. Sci. , vol.15 , pp. 95-107
    • Friedman, A.1    Lolas, G.2
  • 24
    • 23144456670 scopus 로고    scopus 로고
    • Dynamics of the tumor-immune system competition: The effect of time delay
    • M. Galach, Dynamics of the tumor-immune system competition: The effect of time delay, Int. J. Appl. Math Comp. Sci. 13 (2003) 395-406.
    • (2003) Int. J. Appl. Math Comp. Sci. , vol.13 , pp. 395-406
    • Galach, M.1
  • 27
    • 0014802284 scopus 로고
    • Cyclic leukocyte oscillations in chronic myelogenous leukemia during hydroxyurea therapy
    • B. J. Kennedy, Cyclic leukocyte oscillations in chronic myelogenous leukemia during hydroxyurea therapy, Blood 35 (1970) 751-760.
    • (1970) Blood , vol.35 , pp. 751-760
    • Kennedy, B.J.1
  • 28
    • 0032160863 scopus 로고    scopus 로고
    • Modeling immunotherapy of the tumor -Immune interaction
    • D. Kirschner and J. C. Panetta, Modeling immunotherapy of the tumor -Immune interaction, J. Math. Biol. 37 (1998) 235-252.
    • (1998) J. Math. Biol. , vol.37 , pp. 235-252
    • Kirschner, D.1    Panetta, J.C.2
  • 29
    • 0028388757 scopus 로고
    • Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
    • V. A. Kuznetsov, I. A. Makalkin, M. A. Taylor and A. S. Perelson, Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis, Bull. Math. Biol. 56 (1994) 295-321.
    • (1994) Bull. Math. Biol. , vol.56 , pp. 295-321
    • Kuznetsov, V.A.1    Makalkin, I.A.2    Taylor, M.A.3    Perelson, A.S.4
  • 30
    • 0035953417 scopus 로고    scopus 로고
    • Modeling tumor regrowth and immunotherapy
    • V. A. Kuznetsov and G. D. Knott, Modeling tumor regrowth and immunotherapy, Math. Comp. Mod. 33 (2001) 1275-1287.
    • (2001) Math. Comp. Mod. , vol.33 , pp. 1275-1287
    • Kuznetsov, V.A.1    Knott, G.D.2
  • 31
    • 33747095797 scopus 로고    scopus 로고
    • M. C. Mackey, http://www.cnd.mcgill.ca/bios/mackey/mackey.html.
    • Mackey, M.C.1
  • 32
    • 0018570535 scopus 로고
    • Periodic auto-immune hemolytic anemia: An induced dynamical disease
    • M. C. Mackey, Periodic auto-immune hemolytic anemia: An induced dynamical disease, Bull. Math. Biol. 41 (1979) 829-834.
    • (1979) Bull. Math. Biol. , vol.41 , pp. 829-834
    • Mackey, M.C.1
  • 33
    • 0028120986 scopus 로고
    • Analysis of growth of multicellular tumour spheroids by mathematical models
    • M. Marusic, Z. Bajzer, J. P. Freyer and S. Vuk-Pavlovic, Analysis of growth of multicellular tumour spheroids by mathematical models, Cell Prolif. 27 (1994) 73-94.
    • (1994) Cell Prolif. , vol.27 , pp. 73-94
    • Marusic, M.1    Bajzer, Z.2    Freyer, J.P.3    Vuk-Pavlovic, S.4
  • 34
    • 24344431612 scopus 로고    scopus 로고
    • Cancer Immunology: Cat and mouse games
    • C. J. M. Melief, Cancer Immunology: Cat and mouse games, Nature 437 (2005) 41-42.
    • (2005) Nature , vol.437 , pp. 41-42
    • Melief, C.J.M.1
  • 36
    • 0042470540 scopus 로고    scopus 로고
    • Does the immune system see tumors as foreign or self?
    • D. Pardoll, Does the immune system see tumors as foreign or self?, Ann. Rev. Immun. 21 (2003) 807-839.
    • (2003) Ann. Rev. Immun. , vol.21 , pp. 807-839
    • Pardoll, D.1
  • 39
    • 0034839054 scopus 로고    scopus 로고
    • Global analysis in a predator-prey system with nonmonotonic functional response
    • S. Ruan and D. M. Xiao, Global analysis in a predator-prey system with nonmonotonic functional response, SIAM J. Appl. Anal. 61 (2001) 1445-1472.
    • (2001) SIAM J. Appl. Anal. , vol.61 , pp. 1445-1472
    • Ruan, S.1    Xiao, D.M.2
  • 40
    • 1542671847 scopus 로고    scopus 로고
    • Phase transitions in unstable cancer cell populations
    • R. V. Sole, Phase transitions in unstable cancer cell populations, Eur. J. Phys. B 35 (2003) 117-124.
    • (2003) Eur. J. Phys. B , vol.35 , pp. 117-124
    • Sole, R.V.1
  • 41
    • 1542264910 scopus 로고
    • Course of the immune reaction during the development of a malignant tumor
    • N. V. Stepanova, Course of the immune reaction during the development of a malignant tumor, Biophys. 24 (1980) 917-923.
    • (1980) Biophys. , vol.24 , pp. 917-923
    • Stepanova, N.V.1
  • 42
    • 8744271007 scopus 로고    scopus 로고
    • Analysis of the immunotherapy models in the context of cancer dynamics
    • S. Szymanska, Analysis of the immunotherapy models in the context of cancer dynamics, Int. J. Appl. Math Comp. Sci. 13 (2003) 407-418.
    • (2003) Int. J. Appl. Math Comp. Sci. , vol.13 , pp. 407-418
    • Szymanska, S.1
  • 43
    • 0030902368 scopus 로고    scopus 로고
    • Ultra-late recurrence (15 years or longer) of cutaneous melanoma
    • H. Tsao, A. B. Cosimi and A. J. Sober, Ultra-late recurrence (15 years or longer) of cutaneous melanoma, Cancer 79 (1997) 2361-2370.
    • (1997) Cancer , vol.79 , pp. 2361-2370
    • Tsao, H.1    Cosimi, A.B.2    Sober, A.J.3
  • 44
    • 0002421472 scopus 로고    scopus 로고
    • Uniqueness of the limit cycle for gause-type predator-prey systems
    • T.-W. Hwang, Uniqueness of the limit cycle for gause-type predator-prey systems, J. Math. Anal. Appl. 238 (1999) 179-185.
    • (1999) J. Math. Anal. Appl. , vol.238 , pp. 179-185
    • Hwang, T.-W.1
  • 45
    • 0036153123 scopus 로고    scopus 로고
    • Tumour escape from immune surveillance through dendritic cell inactivation
    • A. P. Vicari, G. Caux and G. Trinchieri, Tumour escape from immune surveillance through dendritic cell inactivation, Sem. Canc. Biol. 12 (2002) 33-42.
    • (2002) Sem. Canc. Biol. , vol.12 , pp. 33-42
    • Vicari, A.P.1    Caux, G.2    Trinchieri, G.3
  • 47
    • 0015500407 scopus 로고
    • Spontaneous cyclic leukocytosis and thrombocytosis in chronic granulocytic leukemia
    • H. Vodopick, E. M. Rupp, C. L. Edwards, F. A. Goswitz and J. J. Beauchamp, Spontaneous cyclic leukocytosis and thrombocytosis in chronic granulocytic leukemia, New Engl. J. Med. 286 (1972) 284-290.
    • (1972) New Engl. J. Med. , vol.286 , pp. 284-290
    • Vodopick, H.1    Rupp, E.M.2    Edwards, C.L.3    Goswitz, F.A.4    Beauchamp, J.J.5
  • 49
    • 0036155925 scopus 로고    scopus 로고
    • Tumor-induced death of immune cells: Its mechanisms and consequences
    • T. L. Whiteside, Tumor-induced death of immune cells: Its mechanisms and consequences, Sem. Canc. Biol. 12 (2002) 43-50.
    • (2002) Sem. Canc. Biol. , vol.12 , pp. 43-50
    • Whiteside, T.L.1
  • 50
    • 33344470268 scopus 로고    scopus 로고
    • Modelling tumor-immunity interaction with different stimulation functions
    • P. Zhivkov and J. Waniewski, Modelling tumor-immunity interaction with different stimulation functions, Int. J. Appl. Math Comp. Sci. 13 (2003) 307-315.
    • (2003) Int. J. Appl. Math Comp. Sci. , vol.13 , pp. 307-315
    • Zhivkov, P.1    Waniewski, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.