메뉴 건너뛰기




Volumn , Issue , 2008, Pages 365-368

Mathematical modelling of the interactions between antibodies and virus

Author keywords

Antibodies; Cytopathic virus; Humoral immunity; Integro differential equations; Kinetic models

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FLOW INTERACTIONS; FRUITS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; VIRUSES;

EID: 51849089657     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/HSI.2008.4581465     Document Type: Conference Paper
Times cited : (3)

References (30)
  • 1
    • 0003536924 scopus 로고    scopus 로고
    • New York: W.H.Freeman
    • J. Kuby, Immunology. New York: W.H.Freeman, 1997.
    • (1997) Immunology
    • Kuby, J.1
  • 3
    • 0042378367 scopus 로고    scopus 로고
    • An introduction to lymphocyte and viral dynamics: The power and limitations of mathematical analysis
    • B. Asquith and Ch. R. M. Bangham, "An introduction to lymphocyte and viral dynamics: the power and limitations of mathematical analysis," Proc. R. Soc. Lond. B, vol. 270, pp. 1651-1657, 2003
    • (2003) Proc. R. Soc. Lond. B , vol.270 , pp. 1651-1657
    • Asquith, B.1    Bangham, C.R.M.2
  • 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. Comput. Modelling, vol. 32, pp. 413-452, 2000.
    • (2000) Math. Comput. Modelling , vol.32 , pp. 413-452
    • Bellomo, N.1    Preziosi, L.2
  • 5
    • 33750078422 scopus 로고    scopus 로고
    • Modelling the response of vascular tumours to chemotherapy: A multiscale approach
    • H. M. Byrne, M.R. Owen, T. Alarcon, J. Murphy and P.K. Maini, "Modelling the response of vascular tumours to chemotherapy: A multiscale approach," Math. Models Methods Appl. Sci., vol. 16 (7b), pp. 1219-1242, 2006.
    • (2006) Math. Models Methods Appl. Sci , vol.16 , Issue.7 B , pp. 1219-1242
    • Byrne, H.M.1    Owen, M.R.2    Alarcon, T.3    Murphy, J.4    Maini, P.K.5
  • 7
    • 30344453406 scopus 로고    scopus 로고
    • On the onset of nonlinearity for diffusion models of binary mixtures of biological materials by asymptotic analysis
    • N. Bellomo and A. Bellouquid, "On the onset of nonlinearity for diffusion models of binary mixtures of biological materials by asymptotic analysis," Internat. J. Nonlinear Mech., vol. 41(2), pp. 281-293, 2006.
    • (2006) Internat. J. Nonlinear Mech , vol.41 , Issue.2 , pp. 281-293
    • Bellomo, N.1    Bellouquid, A.2
  • 9
    • 33747088162 scopus 로고    scopus 로고
    • Tumor-immune system interaction and immunotherapy: Modelling the tumor-stimulated proliferation of effectors
    • A. d'Onofrio, "Tumor-immune system interaction and immunotherapy: Modelling the tumor-stimulated proliferation of effectors," Math. Models Methods Appl. Sci., vol. 16 (8), pp. 1375-1402, 2006.
    • (2006) Math. Models Methods Appl. Sci , vol.16 , Issue.8 , pp. 1375-1402
    • d'Onofrio, A.1
  • 10
    • 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," Math. Comput. Modelling, vol. 20, pp. 107-122, 1994.
    • (1994) Math. Comput. Modelling , vol.20 , pp. 107-122
    • Bellomo, N.1    Forni, G.2
  • 11
    • 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., vol. 5, pp. 111-136, 2003.
    • (2003) J. Theor. Med , vol.5 , pp. 111-136
    • Bellomo, N.1    De Angelis, E.2    Preziosi, L.3
  • 12
    • 2542432804 scopus 로고    scopus 로고
    • Mathematical topics of the modelling complex multicellular systems and tumor immune cells competition
    • N. Bellomo, A. Bellouquid and M. Delitala, "Mathematical topics of the modelling complex multicellular systems and tumor immune cells competition," Math. Models Methods Appl. Sci., vol. 14, pp. 1683-1733, 2004.
    • (2004) Math. Models Methods Appl. Sci , vol.14 , pp. 1683-1733
    • Bellomo, N.1    Bellouquid, A.2    Delitala, M.3
  • 13
    • 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. Models Methods Appl. Sci., vol. 15 (11), pp. 1639-1666, 2005.
    • (2005) Math. Models Methods Appl. Sci , vol.15 , Issue.11 , pp. 1639-1666
    • Bellouquid, A.1    Delitala, M.2
  • 14
    • 33646148037 scopus 로고    scopus 로고
    • Modelling complex systems in applied sciences; methods and tools of the mathematical kinetic theory for active particles
    • E. De Angelis and M. Delitala, "Modelling complex systems in applied sciences; methods and tools of the mathematical kinetic theory for active particles," Math.Comput. Modelling, vol. 43 (11-12), pp. 1310-1328, 2006.
    • (2006) Math.Comput. Modelling , vol.43 , Issue.11-12 , pp. 1310-1328
    • De Angelis, E.1    Delitala, M.2
  • 15
    • 33746069282 scopus 로고    scopus 로고
    • Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems
    • N. Bellomo and G. Forni, "Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems," Math. Models Methods Appl. Sci., vol. 16 (7), pp. 1001-1029, 2006.
    • (2006) Math. Models Methods Appl. Sci , vol.16 , Issue.7 , pp. 1001-1029
    • Bellomo, N.1    Forni, G.2
  • 16
    • 33744916996 scopus 로고    scopus 로고
    • On the mathematical kinetic therapy of active particles with discrete states - The derivation of macroscopic equations
    • N. Bellomo and A. Bellouquid, "On the mathematical kinetic therapy of active particles with discrete states - The derivation of macroscopic equations", Math. Comput. Modelling, vol. 44, pp. 397-404, 2006.
    • (2006) Math. Comput. Modelling , vol.44 , pp. 397-404
    • Bellomo, N.1    Bellouquid, A.2
  • 17
    • 33751401909 scopus 로고    scopus 로고
    • Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity
    • S. De Lillo, M.C. Salvatori and N. Bellomo, "Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity," Math. Comput. Modelling, vol. 45 (5-6), pp. 564-578, 2007.
    • (2007) Math. Comput. Modelling , vol.45 , Issue.5-6 , pp. 564-578
    • De Lillo, S.1    Salvatori, M.C.2    Bellomo, N.3
  • 18
    • 51849166350 scopus 로고    scopus 로고
    • Correlation between animal and mathematical models for prostate cancer progression
    • submitted for publication
    • Z. Jackiewicz, C.L. Jorcyk, M. Kolev and B. Zubik-Kowal, "Correlation between animal and mathematical models for prostate cancer progression," submitted for publication.
    • Jackiewicz, Z.1    Jorcyk, C.L.2    Kolev, M.3    Zubik-Kowal, B.4
  • 19
    • 0038377964 scopus 로고
    • F. Calabi and M.S. Neuberger, Editors, Elsevier
    • F. Calabi and M.S. Neuberger, Editors, Genetics of Immunoglobulin, Elsevier, 1987.
    • (1987) Genetics of Immunoglobulin
  • 21
    • 0004257938 scopus 로고
    • W.E. Paul, Editor, New York: Raven Press
    • W.E. Paul, Editor, Fundamental Immunology, New York: Raven Press, 1984.
    • (1984) Fundamental Immunology
  • 22
    • 33847610733 scopus 로고    scopus 로고
    • Cross-Reactive Neuraminidase Antibodies Afford Partial Protection against H5N1 in Mice and Are Present in Unexposed Humans
    • doi: 10.1371/journal.pmed.0040059
    • M.R. Sandbulte, G.S. Jimenez, A.C.M. Boon, L.R. Smith, J.J. Treanor, R.J. Webby, "Cross-Reactive Neuraminidase Antibodies Afford Partial Protection against H5N1 in Mice and Are Present in Unexposed Humans", PLoS Med, 4(2): e59 doi: 10.1371/journal.pmed.0040059, 2007.
    • (2007) PLoS Med , vol.4 , Issue.2
    • Sandbulte, M.R.1    Jimenez, G.S.2    Boon, A.C.M.3    Smith, L.R.4    Treanor, J.J.5    Webby, R.J.6
  • 24
    • 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," Math. Comput. Modelling, vol. 37, pp. 1143-1152, 2003.
    • (2003) Math. Comput. Modelling , vol.37 , pp. 1143-1152
    • Kolev, M.1
  • 25
    • 0034037955 scopus 로고    scopus 로고
    • The role of antigen-independent persistence of memory cytotoxic T lymphocytes
    • D. Wodarz, R. May and M. Nowak, "The role of antigen-independent persistence of memory cytotoxic T lymphocytes," Intern.Immun., vol. 12 (4), pp. 467-477, 2000.
    • (2000) Intern.Immun , vol.12 , Issue.4 , pp. 467-477
    • Wodarz, D.1    May, R.2    Nowak, M.3
  • 26
    • 0036250008 scopus 로고    scopus 로고
    • A kinetic model of tumor-immune system cellular interactions
    • L. Arlotti, A. Gamba and M. Lachowicz, "A kinetic model of tumor-immune system cellular interactions," J. Theor. Medicine, vol. 4 (1), pp. 39-50, 2002.
    • (2002) J. Theor. Medicine , vol.4 , Issue.1 , pp. 39-50
    • Arlotti, L.1    Gamba, A.2    Lachowicz, M.3
  • 27
    • 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," Math. Comput. Modelling, vol. 41 (8), pp. 1083-1095, 2005.
    • (2005) Math. Comput. Modelling , vol.41 , Issue.8 , pp. 1083-1095
    • Kolev, M.1    Kozlowska, E.2    Lachowicz, M.3
  • 29
    • 0029582926 scopus 로고
    • The roles of perforin-dependent and Fas-dependent cytotoxicity in protection against cytopathic and noncytopathic viruses
    • D. Kagi, P. Seiler, J. Pavlovic, B. Ledermann, K. Burki, R.M. Zinkernagel and H. Hengartner, "The roles of perforin-dependent and Fas-dependent cytotoxicity in protection against cytopathic and noncytopathic viruses," Eur. J. Immunol., vol. 25, p.3256, 1995.
    • (1995) Eur. J. Immunol , vol.25 , pp. 3256
    • Kagi, D.1    Seiler, P.2    Pavlovic, J.3    Ledermann, B.4    Burki, K.5    Zinkernagel, R.M.6    Hengartner, H.7
  • 30
    • 0030218260 scopus 로고    scopus 로고
    • Different roles for cytotoxic T cells in the control of infections with cytopathic versus noncytopathic viruses
    • D. Kagi and H. Hengartner, "Different roles for cytotoxic T cells in the control of infections with cytopathic versus noncytopathic viruses," Curr.Opin. Immunol., vol. 8, p.472, 1996.
    • (1996) Curr.Opin. Immunol , vol.8 , pp. 472
    • Kagi, D.1    Hengartner, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.