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Volumn 15, Issue 3-4, 2004, Pages 161-168

Free boundary problems arising in tumor models

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EID: 84887418676     PISSN: 11206330     EISSN: 17200768     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (16)
  • 1
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    • A free boundary problem for an elliptic-parabolic system: Application to a model of tumor growth
    • B.V. BAZALIY - A. FRIEDMAN, A free boundary problem for an elliptic-parabolic system: Application to a model of tumor growth. Communications in PDE, 28, 2003, 517-560. (Pubitemid 36714450)
    • (2003) Communications in Partial Differential Equations , vol.28 , Issue.3-4 , pp. 517-560
    • Bazaliy, B.V.1    Friedman, A.2
  • 2
    • 0242679755 scopus 로고    scopus 로고
    • Global Existence and Asymptotic Stability for An Elliptic-parabolic Free Boundary Problem: An Application to a Model of Tumor Growth
    • B.V. BAZALIY - A. FRIEDMAN, Global existence and stability for an elliptic-parabolic free boundary problem; An application to a model of tumor growth. Indiana University Math. J., 52, 2003, 1265-1304. (Pubitemid 37395642)
    • (2003) Indiana University Mathematics Journal , vol.52 , Issue.5 , pp. 1265-1304
    • Bazaliy, B.1    Friedman, A.2
  • 3
    • 1042298948 scopus 로고
    • Growth of nonnecrotic tumours in the presence and absence of inhibitors
    • H.M. BYRNE - M.A.J. CHAPLAIN, Growth of nonnecrotic tumours in the presence and absence of inhibitors. Mathematical Biosciences, 181, 1995, 130-151.
    • (1995) Mathematical Biosciences , vol.181 , pp. 130-151
    • Byrne, H.M.1    Chaplain, M.A.J.2
  • 6
    • 0034040582 scopus 로고    scopus 로고
    • Analysis of a mathematical model of the effect of inhibitors on the growth of tumors
    • DOI 10.1016/S0025-5564(99)00063-2, PII S0025556499000632
    • S. CUI - A. FRIEDMAN, Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Math. Biosci., 164, 2000, 103-137. (Pubitemid 30211012)
    • (2000) Mathematical Biosciences , vol.164 , Issue.2 , pp. 103-137
    • Cui, S.1    Friedman, A.2
  • 7
    • 0042363716 scopus 로고    scopus 로고
    • A free boundary problem for a singular system of differential equations: An application to a model of tumor growth
    • S. CUI - A. FRIEDMAN, A free boundary problem for a singular system of differential equations: An application to a model of tumor growth. Trans. AMS, 355, 2003, 3537-3590. (Pubitemid 37052684)
    • (2003) Transactions of the American Mathematical Society , vol.355 , Issue.9 , pp. 3537-3590
    • Cui, S.1    Friedman, A.2
  • 8
    • 84979081677 scopus 로고    scopus 로고
    • A hyperbolic free boundary problem modeling tumor growth
    • S. CUI - A. FRIEDMAN, A hyperbolic free boundary problem modeling tumor growth. Interfaces and Free Boundaries, 5, 2003, 159-181.
    • (2003) Interfaces and Free Boundaries , vol.5 , pp. 159-181
    • Cui, S.1    Friedman, A.2
  • 9
    • 0142028939 scopus 로고    scopus 로고
    • Symmetry-breaking bifurcations of free boundary problems in three dimensions
    • M. FONTELOS - A. FRIEDMAN, Symmetry-breaking bifurcations of free boundary problems in three dimensions. Asymptotic Analysis, 35, 2003, 187-206.
    • (2003) Asymptotic Analysis , vol.35 , pp. 187-206
    • Fontelos, M.1    Friedman, A.2
  • 10
    • 0033094895 scopus 로고    scopus 로고
    • Analysis of a mathematical model for the growth of tumors
    • A. FRIEDMAN - F. REITICH, Analysis of a mathematical model for the growth of tumors. J. Math. Biol., 38, 1999, 262-284.
    • (1999) J. Math. Biol. , vol.38 , pp. 262-284
    • Friedman, A.1    Reitich, F.2
  • 11
    • 0242588180 scopus 로고    scopus 로고
    • Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
    • A. FRIEDMAN - F. REITICH, Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth. Trans. Amer. Math. Soc., 353, 2000, 1587-1634.
    • (2000) Trans. Amer. Math. Soc. , vol.353 , pp. 1587-1634
    • Friedman, A.1    Reitich, F.2
  • 12
    • 1042298945 scopus 로고    scopus 로고
    • On the existence of spatially patterned dormant malignancies in a model for the growth of non-necrotic vascular tumor
    • A. FRIEDMAN - F. REITICH, On the existence of spatially patterned dormant malignancies in a model for the growth of non-necrotic vascular tumor. Math. Models and Methods in Appl. Sciences, 77, 2001, 1-25.
    • (2001) Math. Models and Methods in Appl. Sciences , vol.77 , pp. 1-25
    • Friedman, A.1    Reitich, F.2
  • 13
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    • Analysis of a model of a virus that replicates selectively in tumor cells
    • DOI 10.1007/s00285-003-0199-5
    • A. FRIEDMAN - Y. TAO, Analysis of a model of a virus that replicates selectively in tumor cells. J. Math. Biology, 47, 2003, 391-423. (Pubitemid 38261105)
    • (2003) Journal of Mathematical Biology , vol.47 , Issue.5 , pp. 391-423
    • Friedman, A.1    Tao, Y.2
  • 14
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    • On the growth and stability of cell cultures and solid tumors
    • H. GREENSPAN, On the growth and stability of cell cultures and solid tumors. J. Theor. Biol., 56, 1976, 229-242.
    • (1976) J. Theor. Biol. , vol.56 , pp. 229-242
    • Greenspan, H.1
  • 16
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    • Modeling and analysis of a virus that replicates selectively in tumor cells
    • DOI 10.1006/bulm.2001.0245
    • J.T. WU - H.M. BYRNE - D.H. KIRN - L.M. WEIN, Modeling and analysis of a virus that replicate selectively in tumor cells. Bull. Math. Biology, 63, 2001, 731-768. (Pubitemid 32721011)
    • (2001) Bulletin of Mathematical Biology , vol.63 , Issue.4 , pp. 731-768
    • Wu, J.T.1    Byrne, H.M.2    Kirn, D.H.3    Wein, L.M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.