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Volumn 10, Issue 1, 2013, Pages 263-278

On a mathematical model of tumor growth based on cancer stem cells

Author keywords

Cancer steam cells; Free boundary problems; Stability

Indexed keywords

ALGORITHM; BIOLOGICAL MODEL; CANCER STEM CELL; CELL DIFFERENTIATION; CELL PROLIFERATION; COMPUTER SIMULATION; CONFERENCE PAPER; CYTOLOGY; HUMAN; METABOLISM; METASTASIS; NEOPLASM; PATHOLOGY; STATISTICAL MODEL;

EID: 84874741533     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2013.10.263     Document Type: Conference Paper
Times cited : (10)

References (12)
  • 1
    • 33646045010 scopus 로고    scopus 로고
    • Stem cells and cancer: Two faces of eve
    • M. F. Clarke and M. Fuller, Stem cells and cancer: Two faces of eve, Cell, 124 (2006), 1111-1115.
    • (2006) Cell , vol.124 , pp. 1111-1115
    • Clarke, M.F.1    Fuller, M.2
  • 2
    • 28244472369 scopus 로고    scopus 로고
    • Prospective identification of tumorigenic prostate cancer stem cells
    • A. T. Collins, P. A. Berry, C. Hyde, M. J. Stower and N. J. Maitland, Prospective identification of tumorigenic prostate cancer stem cells, Cancer Res, 65 (2005), 10946-10951.
    • (2005) Cancer Res , vol.65 , pp. 10946-10951
    • Collins, A.T.1    Berry, P.A.2    Hyde, C.3    Stower, M.J.4    Maitland, N.J.5
  • 3
    • 58149380742 scopus 로고    scopus 로고
    • Stem cell concepts renew cancer research
    • J. E. Dick, Stem cell concepts renew cancer research, Blood, 112 (2008), 4793-4807.
    • (2008) Blood , vol.112 , pp. 4793-4807
    • Dick, J.E.1
  • 4
    • 33748875077 scopus 로고    scopus 로고
    • Cancer models and their mathematical analysis
    • Lecture Notes in Math., 1872, Springer, Berlin
    • A. Friedman, Cancer models and their mathematical analysis, Tutorials in mathematical biosciences. III, 223-246, Lecture Notes in Math., 1872, Springer, Berlin, 2006.
    • (2006) Tutorials in Mathematical Biosciences , vol.3 , pp. 223-246
    • Friedman, A.1
  • 5
    • 1342310604 scopus 로고    scopus 로고
    • Analysis of a model of a virus that replicates selectively in tumor cells
    • A. Friedman and Y. Tao, Analysis of a model of a virus that replicates selectively in tumor cells, J. Math. Biol., 47 (2003), 391-423.
    • (2003) J. Math. Biol. , vol.47 , pp. 391-423
    • Friedman, A.1    Tao, Y.2
  • 7
    • 84857171440 scopus 로고    scopus 로고
    • A simple mathematical model based on the cancer stem cell hypothesis suggests kinetic commonalities in solid tumor growth
    • R. Molina-Peña and M. M. Álvarez, A simple mathematical model based on the cancer stem cell hypothesis suggests kinetic commonalities in solid tumor growth, PLoS ONE, 7 (2012), e26233.
    • (2012) PLoS ONE , vol.7
    • Molina-Peña, R.1    Álvarez, M.M.2
  • 8
    • 38649104138 scopus 로고    scopus 로고
    • Understanding stem cell differentiation through self-organization theory
    • K. Qu and P. Ortoleva, Understanding stem cell differentiation through self-organization theory, Journal of Theoretical Biology, 250 (2008), 606-620.
    • (2008) Journal of Theoretical Biology , vol.250 , pp. 606-620
    • Qu, K.1    Ortoleva, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.