메뉴 건너뛰기




Volumn 2, Issue 4, 2002, Pages 425-438

The steady state of a tumor cord cell population

Author keywords

Growth fraction; Nonlinear first order partial differential equation; Proliferating cells; Quiescent cells; Tumor model

Indexed keywords


EID: 0042173918     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00012598     Document Type: Article
Times cited : (24)

References (16)
  • 1
    • 0025068944 scopus 로고
    • Diffusion related growth characteristics of a spherical prevascular carcinoma
    • ADAM, J. A. and MAGGELAKIS, S. A., Diffusion related growth characteristics of a spherical prevascular carcinoma, Bull. Math. Biol. 52 (1990), 549-582.
    • (1990) Bull. Math. Biol. , vol.52 , pp. 549-582
    • Adam, J.A.1    Maggelakis, S.A.2
  • 2
    • 0008918455 scopus 로고    scopus 로고
    • A mathematical model for the growth of tumor cords incorporating the dynamics of a nutrient
    • (Kenmochi, N., ed.) Math. Sci. Appl. Gakkotosho, Tokyo
    • BERTUZZI, A., FASANO, A. and GANDOLFI, A., A mathematical model for the growth of tumor cords incorporating the dynamics of a nutrient, Free Boundary Value Problems: Theory, and Applications II (Kenmochi, N., ed.) Math. Sci. Appl. Gakkotosho, Tokyo, 14 (2000), 31-46.
    • (2000) Free Boundary Value Problems: Theory, and Applications II , vol.14 , pp. 31-46
    • Bertuzzi, A.1    Fasano, A.2    Gandolfi, A.3
  • 4
    • 0347885326 scopus 로고    scopus 로고
    • Cell kinetics in tumour cords studied by a model with variable cell cycle length
    • West Lafayette, August
    • BERTUZZI, A., FASANO, A., GANDOLFI, A., and MARANGI, D., Cell kinetics in tumour cords studied by a model with variable cell cycle length, International Conference DESTOBIO, West Lafayette, August 2000, 23-27.
    • (2000) International Conference DESTOBIO , pp. 23-27
    • Bertuzzi, A.1    Fasano, A.2    Gandolfi, A.3    Marangi, D.4
  • 5
    • 0034697619 scopus 로고    scopus 로고
    • Cell kinetics in a tumour cord
    • BERTUZZI, A. and GANDOLFI, A., Cell kinetics in a tumour cord, J. theor. Biol. 204 (2000), 587-599.
    • (2000) J. Theor. Biol. , vol.204 , pp. 587-599
    • Bertuzzi, A.1    Gandolfi, A.2
  • 6
    • 0002335219 scopus 로고    scopus 로고
    • From mutation to metastasis: The mathematical modelling of the stages of tumour development
    • (Adam, J.A. and Bellomo, N., eds.) Birkhäuser, Boston
    • CHAPLAIN, M. A. J., From mutation to metastasis: the mathematical modelling of the stages of tumour development, A Survey of Models for Tumor-Immune System Dynamics (Adam, J.A. and Bellomo, N., eds.) Birkhäuser, Boston, 1997, 187-236.
    • (1997) A Survey of Models for Tumor-Immune System Dynamics , pp. 187-236
    • Chaplain, M.A.J.1
  • 7
    • 0025637672 scopus 로고
    • The relationship between changes in tumour volume, tumour cell density and parenchymal cord radius in a human melanoma xenograft exposed to single dose irradiation
    • FALKVOLL, K.H., The relationship between changes in tumour volume, tumour cell density and parenchymal cord radius in a human melanoma xenograft exposed to single dose irradiation, Acta Oncol. 29 (1990), 935-939.
    • (1990) Acta Oncol. , vol.29 , pp. 935-939
    • Falkvoll, K.H.1
  • 8
    • 0016007951 scopus 로고
    • Tumor angiogenesis
    • FOLKMAN, J., Tumor angiogenesis, Adv. Camcer Res. 19 (1974), 331-358.
    • (1974) Adv. Camcer Res. , vol.19 , pp. 331-358
    • Folkman, J.1
  • 9
    • 0021978223 scopus 로고
    • Tumor angiogenesis
    • FOLKMAN, J., Tumor angiogenesis, Adv. Camcer Res. 43 (1985), 175-203.
    • (1985) Adv. Camcer Res. , vol.43 , pp. 175-203
    • Folkman, J.1
  • 11
    • 0018330397 scopus 로고
    • Tumour cell proliferation in relation to the vasculature
    • HIRST, D. G. and DENEKAMP, J., Tumour cell proliferation in relation to the vasculature, Cell Tissue Kinet. 12 (1979), 31-42.
    • (1979) Cell Tissue Kinet. , vol.12 , pp. 31-42
    • Hirst, D.G.1    Denekamp, J.2
  • 12
    • 84982614048 scopus 로고
    • Proliferation kinetics of endothelial and tumour cells in three mouse mammary carcinomas
    • HIRST, D. G., DENEKAMP, J., and HOBSON, B., Proliferation kinetics of endothelial and tumour cells in three mouse mammary carcinomas, Cell Tissue Kinet. 15 (1982), 251-261.
    • (1982) Cell Tissue Kinet. , vol.15 , pp. 251-261
    • Hirst, D.G.1    Denekamp, J.2    Hobson, B.3
  • 13
    • 0027604157 scopus 로고
    • Cell migration in multicell spheroids: Swimming against the tide
    • MCELWAIN, D. L. S. and PETTET, G. J., Cell migration in multicell spheroids: swimming against the tide, Bull. Math. Biol. 55 (1985), 655-674.
    • (1985) Bull. Math. Biol. , vol.55 , pp. 655-674
    • Mcelwain, D.L.S.1    Pettet, G.J.2
  • 14
    • 0020659724 scopus 로고
    • Response of cell populations in tumor cords to a single dose of cyclophosphamide or radiation
    • MOORE, J. V., HOPKINS, H. A., and LOONEY, W. B., Response of cell populations in tumor cords to a single dose of cyclophosphamide or radiation, Eur. J. Cancer Clin. Oncol. 19 (1983), 73-79.
    • (1983) Eur. J. Cancer Clin. Oncol. , vol.19 , pp. 73-79
    • Moore, J.V.1    Hopkins, H.A.2    Looney, W.B.3
  • 15
    • 0021987882 scopus 로고
    • Tumour cords in 52 human bronchial and cervical squamous cell carcinomas: Inferences for their cellular kinetics and radiobiology
    • MOORE, J. V., HASLETON, P. S., and BUCKLEY, C. H., Tumour cords in 52 human bronchial and cervical squamous cell carcinomas: inferences for their cellular kinetics and radiobiology, Br. J. Cancer 51 (1985), 407-413.
    • (1985) Br. J. Cancer , vol.51 , pp. 407-413
    • Moore, J.V.1    Hasleton, P.S.2    Buckley, C.H.3
  • 16
    • 0014292997 scopus 로고
    • The relationship between cell proliferation and the vascular system in a transplanted mouse mammary tumour
    • TANNOCK, I. F., The relationship between cell proliferation and the vascular system in a transplanted mouse mammary tumour, Br. J. Cancer 22 (1968), 258-273.
    • (1968) Br. J. Cancer , vol.22 , pp. 258-273
    • Tannock, I.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.