메뉴 건너뛰기




Volumn 41, Issue 10, 2005, Pages 1071-1081

A mathematical model of cellular immune response to leukemia

Author keywords

Dendritic cells; Integro differential equations; Leukemia; Nonlinear dynamics; Vaccination

Indexed keywords

ACTIVATION ENERGY; CELLS; COMPUTER SIMULATION; KINETIC THEORY; MATHEMATICAL MODELS;

EID: 26844512863     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.05.003     Document Type: Article
Times cited : (22)

References (29)
  • 2
    • 0003536924 scopus 로고    scopus 로고
    • W.H. Freeman Third
    • New York J. Kuby Immunology W.H. Freeman Third 1997
    • (1997) Immunology
    • Kuby, J.1
  • 3
    • 0038575165 scopus 로고    scopus 로고
    • Mathematical modelling of the competition between tumors and immune system considering the role of the antibodies
    • M. Kolev Mathematical modelling of the competition between tumors and immune system considering the role of the antibodies Mathl. Comput. Modelling 37 11 2003 1143 1151
    • (2003) Mathl. Comput. Modelling , vol.37 , Issue.11 , pp. 1143-1151
    • Kolev, M.1
  • 5
    • 0031875403 scopus 로고    scopus 로고
    • Experimental vaccine strategies for cancer immunotherapy
    • C.-H. Chen, and T.C. Wu Experimental vaccine strategies for cancer immunotherapy J. Biomed. Sci. 5 1998 231 252
    • (1998) J. Biomed. Sci. , vol.5 , pp. 231-252
    • Chen, C.-H.1    Wu, T.C.2
  • 6
    • 0001692786 scopus 로고    scopus 로고
    • On a kinetic (cellular) theory of the competition between tumors and the immune host system
    • N. Bellomo, L. Preziosi, and G. Forni On a kinetic (cellular) theory of the competition between tumors and the immune host system J. Biolog. Systems 4 1996 479 502
    • (1996) J. Biolog. Systems , vol.4 , pp. 479-502
    • Bellomo, N.1    Preziosi, L.2    Forni, G.3
  • 7
    • 0033467177 scopus 로고    scopus 로고
    • Tumor/immune system competition with medically induced activation/disactivation
    • B. Firmani, L. Guerri, and L. Preziosi Tumor/immune system competition with medically induced activation/disactivation Math. Models Methods Appl. Sci. 9 1999 491 512
    • (1999) Math. Models Methods Appl. Sci. , vol.9 , pp. 491-512
    • Firmani, B.1    Guerri, L.2    Preziosi, L.3
  • 8
    • 0035730668 scopus 로고    scopus 로고
    • On the kinetic (cellular) theory. Conceptual framework on modelling the immune response
    • E. de Angelis, and L. Mesin On the kinetic (cellular) theory. Conceptual framework on modelling the immune response Math. Models Methods Appl. Sci. 11 2001 1609 1630
    • (2001) Math. Models Methods Appl. Sci. , vol.11 , pp. 1609-1630
    • De Angelis, E.1    Mesin, L.2
  • 9
    • 0028120597 scopus 로고
    • Dynamics of tumor interaction with the host immune system
    • N. Bellomo, and G. Forni Dynamics of tumor interaction with the host immune system Mathl. Comput. Modelling 20 1 1994 107 122
    • (1994) Mathl. Comput. Modelling , vol.20 , Issue.1 , pp. 107-122
    • Bellomo, N.1    Forni, G.2
  • 12
    • 2542462118 scopus 로고    scopus 로고
    • Multiscale modeling and mathematical problems related to tumor evolution and medical therapy
    • N. Bellomo, E. De Angelis, and L. Preziosi Multiscale modeling and mathematical problems related to tumor evolution and medical therapy J. Theor. Med. 5 2003 111 136
    • (2003) J. Theor. Med. , vol.5 , pp. 111-136
    • Bellomo, N.1    De Angelis, E.2    Preziosi, L.3
  • 13
    • 0034422868 scopus 로고    scopus 로고
    • Advection-diffusion models for solid tumors in vivo and related free-boundary problems
    • E. de Angelis, and L. Preziosi Advection-diffusion models for solid tumors in vivo and related free-boundary problems Math. Models Methods Appl. Sci. 10 2000 379 408
    • (2000) Math. Models Methods Appl. Sci. , vol.10 , pp. 379-408
    • De Angelis, E.1    Preziosi, L.2
  • 14
    • 0036250008 scopus 로고    scopus 로고
    • A kinetic model of tumour/immune system cellular interactions
    • L. Arlotti, A. Gamba, and M. Lachowicz A kinetic model of tumour/immune system cellular interactions J. Theoret. Medicine 4 1 2002 39 50
    • (2002) J. Theoret. Medicine , vol.4 , Issue.1 , pp. 39-50
    • Arlotti, L.1    Gamba, A.2    Lachowicz, M.3
  • 15
    • 0036056711 scopus 로고    scopus 로고
    • From microscopic to macroscopic description. Generalized kinetic equations
    • M. Lachowicz From microscopic to macroscopic description. Generalized kinetic equations Math. Models Methods Appl. Sci. 12 7 2002 985 1005
    • (2002) Math. Models Methods Appl. Sci. , vol.12 , Issue.7 , pp. 985-1005
    • Lachowicz, M.1
  • 16
    • 0036244557 scopus 로고    scopus 로고
    • Modelling the immune response to tumor heterogeneity and progression
    • D. Ambrosi, N. Bellomo, and L. Preziosi Modelling the immune response to tumor heterogeneity and progression J. Theor. Medicine 4 1 2002 51 66
    • (2002) J. Theor. Medicine , vol.4 , Issue.1 , pp. 51-66
    • Ambrosi, D.1    Bellomo, N.2    Preziosi, L.3
  • 17
    • 0037296957 scopus 로고    scopus 로고
    • Analysis of a mean field modelling of tumor and immune system competition
    • E. de Angelis, and P.E. Jabin Analysis of a mean field modelling of tumor and immune system competition Math. Models Methods Appl. Sci. 13 2 2003 187 206
    • (2003) Math. Models Methods Appl. Sci. , vol.13 , Issue.2 , pp. 187-206
    • De Angelis, E.1    Jabin, P.E.2
  • 18
    • 0032285146 scopus 로고    scopus 로고
    • Strategies of applied mathematics towards an immuno mathematical theory on tumors and immune system interactions
    • N. Bellomo, and E. de Angelis Strategies of applied mathematics towards an immuno mathematical theory on tumors and immune system interactions Math. Models Methods Appl. Sci. 8 1998 1403 1429
    • (1998) Math. Models Methods Appl. Sci. , vol.8 , pp. 1403-1429
    • Bellomo, N.1    De Angelis, E.2
  • 19
    • 0037418096 scopus 로고    scopus 로고
    • The modelling of the immune competition by generalized kinetic (Boltzmann) models, Review and research perspectives
    • N. Bellomo, A. Bellouquid, and E. de Angelis The modelling of the immune competition by generalized kinetic (Boltzmann) models, Review and research perspectives Math. Comput. Modelling 37 2003 65 86
    • (2003) Math. Comput. Modelling , vol.37 , pp. 65-86
    • Bellomo, N.1    Bellouquid, A.2    De Angelis, E.3
  • 21
    • 0008314607 scopus 로고    scopus 로고
    • Special issue on mathematical models for the growth, development and treatment of tumours
    • M. Chaplain Special issue on mathematical models for the growth, development and treatment of tumours Math. Models Methods Appl. Sci. 9 4 1999
    • (1999) Math. Models Methods Appl. Sci. , vol.9 , Issue.4
    • Chaplain, M.1
  • 23
    • 26844505021 scopus 로고    scopus 로고
    • A mathematical model for single cell cancer-immune system dynamics
    • M. Kolev, E. Kozlowska, and M. Lachowicz A mathematical model for single cell cancer-immune system dynamics Mathl. Comput. Modelling 41 8 2005 1083 1095
    • (2005) Mathl. Comput. Modelling , vol.41 , Issue.8 , pp. 1083-1095
    • Kolev, M.1    Kozlowska, E.2    Lachowicz, M.3
  • 24
    • 0000733301 scopus 로고    scopus 로고
    • From population dynamics to modelling the competition between tumors and immune system
    • L. Preziosi From population dynamics to modelling the competition between tumors and immune system Mathl. Comp. Modelling 23 6 1996 135 152
    • (1996) Mathl. Comp. Modelling , vol.23 , Issue.6 , pp. 135-152
    • Preziosi, L.1
  • 25
    • 0002092204 scopus 로고    scopus 로고
    • On a kinetic theory of cytokinemediated interaction between tumors and immune system
    • N. Bellomo, B. Firmani, L. Guerri, and L. Preziosi On a kinetic theory of cytokinemediated interaction between tumors and immune system Ari 50 1997 21 32
    • (1997) Ari , vol.50 , pp. 21-32
    • Bellomo, N.1    Firmani, B.2    Guerri, L.3    Preziosi, L.4
  • 26
    • 0030417280 scopus 로고    scopus 로고
    • Tumor heterogeneity and progression: Conceptual foundation for modelling
    • L. Greller, F. Tobin, and G. Poste Tumor heterogeneity and progression: Conceptual foundation for modelling Invasion and Metastatics 16 1996 177 208
    • (1996) Invasion and Metastatics , vol.16 , pp. 177-208
    • Greller, L.1    Tobin, F.2    Poste, G.3
  • 27
    • 0028021293 scopus 로고
    • Do immunologists dream about electric mice?
    • G. Taubes Do immunologists dream about electric mice? Science 265 1994 886 888
    • (1994) Science , vol.265 , pp. 886-888
    • Taubes, G.1
  • 28
    • 0034121654 scopus 로고    scopus 로고
    • Dendritic cells in cancer immunotherapy
    • L. Fong, and E.G. Engleman Dendritic cells in cancer immunotherapy Annu. Rev. Immunol. 18 2000 245 273
    • (2000) Annu. Rev. Immunol. , vol.18 , pp. 245-273
    • Fong, L.1    Engleman, E.G.2
  • 29
    • 0035825042 scopus 로고    scopus 로고
    • Cancer vaccines
    • P. Moingeon Cancer vaccines Vaccine 19 2001 1305 1326
    • (2001) Vaccine , vol.19 , pp. 1305-1326
    • Moingeon, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.