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Volumn 23, Issue 6, 1996, Pages 1-10

Effects of vascularization on lymphocyte/tumor cell dynamics: Qualitative features

Author keywords

Hopf bifurcation; Limit cycles; Lymphocyte; Tumor; Vascularization

Indexed keywords


EID: 0005448153     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/0895-7177(96)00016-7     Document Type: Article
Times cited : (24)

References (14)
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    • Immune surveillance and neoplasia - I. A minimal mathematical model
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    • (1977) Bull. Math. Biol. , vol.39 , pp. 201-221
    • DeLisi, C.1    Rescigno, A.2
  • 2
    • 0039645998 scopus 로고
    • Limit cycles in predator-prey communities
    • R. May, Limit cycles in predator-prey communities, Science 177, 900-902 (1972).
    • (1972) Science , vol.177 , pp. 900-902
    • May, R.1
  • 8
    • 0018098741 scopus 로고
    • A model predator-prey system with functional response
    • N.D. Kazarinoff and P. Van Den Driessche, A model predator-prey system with functional response, Math. Biosci. 39, 125-134 (1978).
    • (1978) Math. Biosci. , vol.39 , pp. 125-134
    • Kazarinoff, N.D.1    Van Den Driessche, P.2
  • 9
    • 0000252593 scopus 로고
    • Bifurcation formulae derived from center manifold theory
    • B. Hassard and Y.H. Wan, Bifurcation formulae derived from center manifold theory, J. Math. Anal. Appl. 63, 297-312 (1978).
    • (1978) J. Math. Anal. Appl. , vol.63 , pp. 297-312
    • Hassard, B.1    Wan, Y.H.2
  • 10
    • 0015085399 scopus 로고
    • Perspectives in oncogenesis: Does immunity stimulate or inhibit neoplasia?
    • R.T. Prehn, Perspectives in oncogenesis: Does immunity stimulate or inhibit neoplasia?, J. Reticuloendothel Soc. 63, 1-18 (1971).
    • (1971) J. Reticuloendothel Soc. , vol.63 , pp. 1-18
    • Prehn, R.T.1
  • 11
    • 38249005282 scopus 로고
    • The dynamics of growth-factor-modified immune response to cancer growth: One dimensional models
    • J.A. Adam, The dynamics of growth-factor-modified immune response to cancer growth: One dimensional models, Mathl. Comput. Modelling 17 (3), 83-106 (1993).
    • (1993) Mathl. Comput. Modelling , vol.17 , Issue.3 , pp. 83-106
    • Adam, J.A.1
  • 12
    • 0017713697 scopus 로고
    • Immune surveillance and neoplasia - II. A two-stage mathematical model
    • A. Rescigno and C. DeLisi, Immune surveillance and neoplasia - II. A two-stage mathematical model, Bull. Math. Biol. 39, 487-497 (1977).
    • (1977) Bull. Math. Biol. , vol.39 , pp. 487-497
    • Rescigno, A.1    DeLisi, C.2
  • 13
    • 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), 107-122 (1994).
    • (1994) Mathl. Comput. Modelling , vol.20 , Issue.1 , pp. 107-122
    • Bellomo, N.1    Forni, G.2
  • 14
    • 0346025965 scopus 로고
    • Complementary levels of description in applied mathematics: II. Mathematical models in cancer biology
    • J.A. Adam, Complementary levels of description in applied mathematics: II. Mathematical models in cancer biology, Intl. J. Math. Ed. Sci. Tech. 19, 519-535 (1988).
    • (1988) Intl. J. Math. Ed. Sci. Tech. , vol.19 , pp. 519-535
    • Adam, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.