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Volumn 18, Issue 4, 2005, Pages 1629-1642

Asymptotic behaviour of quasi-stationary solutions of a nonlinear problem modelling the growth of tumours

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EID: 21244477876     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/18/4/011     Document Type: Article
Times cited : (12)

References (14)
  • 1
    • 0035998604 scopus 로고    scopus 로고
    • On the closure of mass balance models for tumour growth
    • Ambrosi D and Preziosi L 2002 On the closure of mass balance models for tumour growth Math. Models Methods Appl. Sci. 12 737-54
    • (2002) Math. Models Methods Appl. Sci. , vol.12 , Issue.5 , pp. 737-754
    • Ambrosi, D.1    Preziosi, L.2
  • 2
    • 3843079723 scopus 로고    scopus 로고
    • A history of the study of solid tumour growth: The contribution of mathematical modelling
    • Araujo R and McElwain D 2004 A history of the study of solid tumour growth: the contribution of mathematical modelling Bull. Math. Biol. 66 1039-91
    • (2004) Bull. Math. Biol. , vol.66 , Issue.5 , pp. 1039-1091
    • Araujo, R.1    McElwain, D.2
  • 3
    • 18744372738 scopus 로고    scopus 로고
    • A free boundary problem with unilateral constraints describing the evolution of a tumour cord under the influence of cell killing agents
    • Bertuzzi A, Fasano A and Gandolfi A 2003 A free boundary problem with unilateral constraints describing the evolution of a tumour cord under the influence of cell killing agents SIAM J. Math. Anal. 36 882-915
    • (2003) SIAM J. Math. Anal. , vol.36 , Issue.3 , pp. 882-915
    • Bertuzzi, A.1    Fasano, A.2    Gandolfi, A.3
  • 5
    • 0028790729 scopus 로고
    • Growth of nonnecrotic tumours in the presence and absence of inhibitors
    • Byrne H M and Chaplain M A J 1995 Growth of nonnecrotic tumours in the presence and absence of inhibitors Math. Biosci. 130 151-81
    • (1995) Math. Biosci. , vol.130 , Issue.2 , pp. 151-181
    • Byrne, H.M.1    Chaplain, M.A.J.2
  • 7
    • 0842281982 scopus 로고    scopus 로고
    • Modelling solid tumour growth using the theory of mixtures
    • Byrne H and Preziosi L 2003 Modelling solid tumour growth using the theory of mixtures Math. Med. Biol. 20 341-66
    • (2003) Math. Med. Biol. , vol.20 , pp. 341-366
    • Byrne, H.1    Preziosi, L.2
  • 8
    • 0642378039 scopus 로고    scopus 로고
    • Nonlinear simulation of tumour growth
    • Cristini V, Lowengrub J and Nie Q 2003 Nonlinear simulation of tumour growth J. Math. Biol. 46 191-224
    • (2003) J. Math. Biol. , vol.46 , Issue.3 , pp. 191-224
    • Cristini, V.1    Lowengrub, J.2    Nie, Q.3
  • 9
    • 0036584916 scopus 로고    scopus 로고
    • Analysis of a mathematical model for the growth of tumours under the action of external inhibitors
    • Cui S 2002 Analysis of a mathematical model for the growth of tumours under the action of external inhibitors J. Math. Biol. 44 395-426
    • (2002) J. Math. Biol. , vol.44 , Issue.5 , pp. 395-426
    • Cui, S.1
  • 10
    • 0042363716 scopus 로고    scopus 로고
    • A free boundary problem for a singular system of differential equations: An application to a model of tumour growth
    • Cui S and Friedman A 2003 A free boundary problem for a singular system of differential equations: an application to a model of tumour growth Trans. Am. Math. Soc. 355 3537-90
    • (2003) Trans. Am. Math. Soc. , vol.355 , pp. 3537-3590
    • Cui, S.1    Friedman, A.2
  • 11
    • 0037332646 scopus 로고    scopus 로고
    • On the mathematical controllability in a simple growth tumours model by the internal localized action of inhibitors
    • Díaz J I and Tello J I 2002 On the mathematical controllability in a simple growth tumours model by the internal localized action of inhibitors Nonlinear Anal. Real World Appl. 4 109-25
    • (2002) Nonlinear Anal. Real World Appl. , vol.4 , Issue.1 , pp. 109-125
    • Díaz, J.I.1    Tello, J.I.2
  • 12
    • 0033094895 scopus 로고    scopus 로고
    • Analysis of a mathematical model for the growth of tumours
    • Friedman A and Reitich F 1999 Analysis of a mathematical model for the growth of tumours J. Math. Biol. 38 262-84
    • (1999) J. Math. Biol. , vol.38 , Issue.3 , pp. 262-284
    • Friedman, A.1    Reitich, F.2
  • 14
    • 1042279436 scopus 로고    scopus 로고
    • A free boundary problem model of ductal carcinoma in situ
    • Xu Y 2004 A free boundary problem model of ductal carcinoma in situ Discrete Contin. Dyn. Syst. Ser. B 4 337-48
    • (2004) Discrete Contin. Dyn. Syst. Ser. B , vol.4 , pp. 337-348
    • Xu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.