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Volumn 41, Issue 2, 2009, Pages 875-880

Fractal growth of tumors and other cellular populations: Linking the mechanistic to the phenomenological modeling and vice versa

Author keywords

[No Author keywords available]

Indexed keywords

MEAN FIELD THEORY;

EID: 67349108817     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.04.014     Document Type: Article
Times cited : (32)

References (15)
  • 1
    • 3843079723 scopus 로고    scopus 로고
    • A history of the study of solid tumour growth: the contribution of mathematical modelling
    • Araujo R.P., and McElwain D.L.S. A history of the study of solid tumour growth: the contribution of mathematical modelling. Bull Math Biol 66 (2004) 1039-1091
    • (2004) Bull Math Biol , vol.66 , pp. 1039-1091
    • Araujo, R.P.1    McElwain, D.L.S.2
  • 3
    • 22244440256 scopus 로고    scopus 로고
    • Conceptual and practical implications of breast tissue geometry: toward a more effective, less toxic therapy
    • Norton L. Conceptual and practical implications of breast tissue geometry: toward a more effective, less toxic therapy. The Oncologist 10 (2005) 370-381
    • (2005) The Oncologist , vol.10 , pp. 370-381
    • Norton, L.1
  • 4
    • 0037408903 scopus 로고    scopus 로고
    • The Gompertzian curve reveals fractal properties of tumor growth
    • Waliszewski P., and Konarski J. The Gompertzian curve reveals fractal properties of tumor growth. Chaos, Solitons & Fractals 16 (2003) 665-674
    • (2003) Chaos, Solitons & Fractals , vol.16 , pp. 665-674
    • Waliszewski, P.1    Konarski, J.2
  • 5
    • 0028120986 scopus 로고
    • Analysis of growth of multicellular tumor spheroids by mathematical models
    • Marusic M., Bajzer Z., Freyer J.P., and Vuk-Pavlovic S. Analysis of growth of multicellular tumor spheroids by mathematical models. Cell Proliferat 27 (1994) 73-94
    • (1994) Cell Proliferat , vol.27 , pp. 73-94
    • Marusic, M.1    Bajzer, Z.2    Freyer, J.P.3    Vuk-Pavlovic, S.4
  • 7
    • 0037515061 scopus 로고    scopus 로고
    • On the modification of fractal self-space during cell differentiation or tumor progression
    • Waliszewski P., Konarski J., and Molski M. On the modification of fractal self-space during cell differentiation or tumor progression. Fractals 8 2 (2000) 195-203
    • (2000) Fractals , vol.8 , Issue.2 , pp. 195-203
    • Waliszewski, P.1    Konarski, J.2    Molski, M.3
  • 9
    • 0031845830 scopus 로고    scopus 로고
    • The growth law of primary breast cancer as inferred from mammography screening trials data
    • Hart D., Shochat E., and Agur Z. The growth law of primary breast cancer as inferred from mammography screening trials data. Brit J Cancer 78 (1999) 382-387
    • (1999) Brit J Cancer , vol.78 , pp. 382-387
    • Hart, D.1    Shochat, E.2    Agur, Z.3
  • 10
    • 0037898943 scopus 로고    scopus 로고
    • Individual-based approaches to birth and death in avascular tumors
    • Drasdo D., and Hoehme S. Individual-based approaches to birth and death in avascular tumors. Math Comput Modell 37 (2003) 1163-1175
    • (2003) Math Comput Modell , vol.37 , pp. 1163-1175
    • Drasdo, D.1    Hoehme, S.2
  • 12
    • 26744431713 scopus 로고
    • Analytical solutions for diffusion on fractal objects
    • O'Shaughnessy B., and Procaccia I. Analytical solutions for diffusion on fractal objects. Phys Rev Lett 54 (1985) 455-458
    • (1985) Phys Rev Lett , vol.54 , pp. 455-458
    • O'Shaughnessy, B.1    Procaccia, I.2
  • 14
    • 0015760853 scopus 로고
    • Global models of growth and competition
    • Gilpin M.E., and Ayala F.J. Global models of growth and competition. Proc Nat Acad Sci USA 70 (1973) 3590
    • (1973) Proc Nat Acad Sci USA , vol.70 , pp. 3590
    • Gilpin, M.E.1    Ayala, F.J.2
  • 15
    • 0015589974 scopus 로고
    • Mitotic autoregulation, growth control and neoplasia
    • Wheldhon T.E., Kirk J., and Grey W.W. Mitotic autoregulation, growth control and neoplasia. J Theoret Biol 38 (1973) 627-639
    • (1973) J Theoret Biol , vol.38 , pp. 627-639
    • Wheldhon, T.E.1    Kirk, J.2    Grey, W.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.