메뉴 건너뛰기




Volumn 7, Issue 2, 2010, Pages 385-400

Diffusion-limited tumour growth: Simulations and analysis

Author keywords

Diffusion limited growth; Tumour morphology

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; CELL GROWTH; COMPUTER SIMULATION; HUMAN; METABOLISM; NEOPLASM; OXYGEN CONSUMPTION; PATHOLOGY; PHYSIOLOGY; ULTRASTRUCTURE;

EID: 77954627336     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2010.7.385     Document Type: Article
Times cited : (21)

References (33)
  • 1
    • 25144494216 scopus 로고    scopus 로고
    • A hybrid mathematical model of solid tumour invasion: The importance of cell adhesion
    • A. R. A. Anderson, A hybrid mathematical model of solid tumour invasion: The importance of cell adhesion, Math. Med. Biol., 22 (2005), 163-186.
    • (2005) Math. Med. Biol. , vol.22 , pp. 163-186
    • Anderson, A.R.A.1
  • 2
    • 33751217466 scopus 로고    scopus 로고
    • Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment
    • A. R. A. Anderson, A. M. Weaver, P. T. Cummings and V. Quaranta, Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment, Cell, 127 (2006), 905-915 doi: 10.1016/j.cell.2006.09.042.
    • (2006) Cell , vol.127 , pp. 905-915
    • Anderson, A.R.A.1    Weaver, A.M.2    Cummings, P.T.3    Quaranta, V.4
  • 3
    • 58349120028 scopus 로고    scopus 로고
    • Mirconevironment driven invasion: A multiscale multimodel investigation
    • In review
    • A. R. A. Anderson, K. A. Rejniak, P. Gerlee and V. Quaranta, Mirconevironment driven invasion: A multiscale multimodel investigation, J. Math. Biol., In review, (2008).
    • (2008) J. Math. Biol.
    • Anderson, A.R.A.1    Rejniak, K.A.2    Gerlee, P.3    Quaranta, V.4
  • 4
    • 0001698566 scopus 로고
    • The formation of patterns in non-equilibrium growth
    • E. Ben-Jacob and P. Garik, The formation of patterns in non-equilibrium growth, Nature, 343 (1990), 523-530.
    • (1990) Nature , vol.343 , pp. 523-530
    • Ben-Jacob, E.1    Garik, P.2
  • 5
    • 0031726425 scopus 로고    scopus 로고
    • Cooperative organization of bacterial colonies: From genotype to morphotype
    • E. Ben-Jacob, I. Cohen and G. L. Gutnick, Cooperative organization of bacterial colonies: From genotype to morphotype, Annu. Rev. Microbiol., 52 (1998), 779-806.
    • (1998) Annu. Rev. Microbiol. , vol.52 , pp. 779-806
    • Ben-Jacob, E.1    Cohen, I.2    Gutnick, G.L.3
  • 6
    • 0034211858 scopus 로고    scopus 로고
    • Cooperative self-organization of microorganisms
    • E. Ben-Jacob, I. Cohen and H. Levine, Cooperative self-organization of microorganisms, Advances in Physics, 49 (2000), 395-554.
    • (2000) Advances in Physics , vol.49 , pp. 395-554
    • Ben-Jacob, E.1    Cohen, I.2    Levine, H.3
  • 7
    • 2942590732 scopus 로고    scopus 로고
    • Exploiting tumour hypoxia in cancer treatment
    • J. M Brown and W. R. Wilson, Exploiting tumour hypoxia in cancer treatment, Nature, 4 (2004), 437-447.
    • (2004) Nature , vol.4 , pp. 437-447
    • Brown, M.J.1    Wilson, W.R.2
  • 8
    • 0004033276 scopus 로고
    • P. Calabresi and P. S (eds) Schein, McGraw-Hill, New York
    • P. Calabresi and P. S (eds) Schein, "Medical Oncology 2nd edn.," McGraw-Hill, New York, 1993.
    • (1993) Medical Oncology 2nd edn.
  • 9
    • 0026568374 scopus 로고
    • Variation in tumour cell growth rates and metabolism with oxygen-concentration, glucose-concentration and extra-cellular ph
    • J. J. Casciari, S. V. Sotirchos and R. M. Sutherland, Variation in tumour cell growth rates and metabolism with oxygen-concentration, glucose-concentration and extra-cellular ph, J. Cell. Physiol., 151 (1992), 386-394.
    • (1992) J. Cell. Physiol. , vol.151 , pp. 386-394
    • Casciari, J.J.1    Sotirchos, S.V.2    Sutherland, R.M.3
  • 11
    • 33845498412 scopus 로고
    • Radial viscous fingers and diffusion-limited aggregation: Fractal dimension and growth sites
    • G. Daccord, J. Nittmann and H. E. Stanley, Radial viscous fingers and diffusion-limited aggregation: Fractal dimension and growth sites, Phys. Rev. Lett., 56 (1986), 336-339.
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 336-339
    • Daccord, G.1    Nittmann, J.2    Stanley, H.E.3
  • 12
    • 41349093099 scopus 로고    scopus 로고
    • Reaction-diffusion model for the growth of avascular tumor
    • S. C. Ferreira, M. L. Martins and M. J. Vilela, Reaction-diffusion model for the growth of avascular tumor, Phys. Rev. E, 65 (2002), 021907.
    • (2002) Phys. Rev. E , vol.65 , pp. 021907
    • Ferreira, S.C.1    Martins, M.L.2    Vilela, M.J.3
  • 13
    • 0021344144 scopus 로고
    • In situ consumption rates of cells in v-79 multicellular spheroids during growth
    • J. P. Freyer, E. Tustanoff, A. J. Franko and R. M. Sutherland, In situ consumption rates of cells in v-79 multicellular spheroids during growth, J. Cell. Physiol., 118 (1984), 53-61.
    • (1984) J. Cell. Physiol. , vol.118 , pp. 53-61
    • Freyer, J.P.1    Tustanoff, E.2    Franko, A.J.3    Sutherland, R.M.4
  • 14
    • 8144228566 scopus 로고    scopus 로고
    • Why do cancers have high aerobic glycolysis?
    • R. A. Gatenby and R. J. Gillies, Why do cancers have high aerobic glycolysis? Nat. Rev. Cancer, 4 (2004), 891-899.
    • (2004) Nat. Rev. Cancer , vol.4 , pp. 891-899
    • Gatenby, R.A.1    Gillies, R.J.2
  • 15
    • 34248216634 scopus 로고    scopus 로고
    • An evolutionary hybrid cellular automaton model of solid tumour growth
    • DOI 10.1016/j.jtbi.2007.01.027, PII S0022519307000549
    • P. Gerlee and A. R. A. Anderson, An evolutionary hybrid cellular automaton model of solid tumour growth, J. Theor. Biol., 246 (2007), 583-603, a. (Pubitemid 46719261)
    • (2007) Journal of Theoretical Biology , vol.246 , Issue.4 , pp. 583-603
    • Gerlee, P.1    Anderson, A.R.A.2
  • 16
    • 34347207282 scopus 로고    scopus 로고
    • Stability analysis of a hybrid cellular automaton model of cell colony growth
    • P. Gerlee and A. R. A. Anderson, Stability analysis of a hybrid cellular automaton model of cell colony growth, Phys. Rev. E, 75 (2007), 051911, b.
    • (2007) Phys. Rev. E , vol.75 , pp. 051911
    • Gerlee, P.1    Anderson, A.R.A.2
  • 17
    • 38649099056 scopus 로고    scopus 로고
    • A hybrid cellular automaton model of clonal evolution in cancer: The emergence of the glycolytic phenotype
    • P. Gerlee and A. R. A. Anderson, A hybrid cellular automaton model of clonal evolution in cancer: The emergence of the glycolytic phenotype, J. Theor. Biol., 250 (2008), 705-722.
    • (2008) J. Theor. Biol. , vol.250 , pp. 705-722
    • Gerlee, P.1    Anderson, A.R.A.2
  • 18
    • 0017689003 scopus 로고
    • Oxygen diffusivity in tumor tissue (ds-carcinosarcoma) under temperature conditions within the range of 20-40 degrees c
    • J. Grote, R. Susskind and P. Vaupel, Oxygen diffusivity in tumor tissue (ds-carcinosarcoma) under temperature conditions within the range of 20-40 degrees c, Pflugers Arch., 372 (1977), 37-42.
    • (1977) Pflugers Arch. , vol.372 , pp. 37-42
    • Grote, J.1    Susskind, R.2    Vaupel, P.3
  • 19
    • 33748472371 scopus 로고    scopus 로고
    • Modelling in vitro lung branching morphogenesis during development
    • D. Hartmann and T. Miura, Modelling in vitro lung branching morphogenesis during development, J. Theor. Biol., 242 (2006), 862-872
    • (2006) J. Theor. Biol. , vol.242 , pp. 862-872
    • Hartmann, D.1    Miura, T.2
  • 20
    • 0029775242 scopus 로고    scopus 로고
    • Association between tumor hypoxia and malignant progression in advanced cancer of the uterine cervix
    • M. Höckel, K. Schlenger, B. Aral, M. Mitze, U. Schaffer and P. Vaupel, Association between tumor hypoxia and malignant progression in advanced cancer of the uterine cervix, Cancer Res., 56 (1996), 4509-4515.
    • (1996) Cancer Res. , vol.56 , pp. 4509-4515
    • Höckel, M.1    Schlenger, K.2    Aral, B.3    Mitze, M.4    Schaffer, U.5    Vaupel, P.6
  • 21
    • 0024000989 scopus 로고
    • Pattern selection in fingered growth phenomena
    • D. A. Kessler, J. Koplik and H. Levine, Pattern selection in fingered growth phenomena, Advances in Physics, 37 (1988), 255-339.
    • (1988) Advances in Physics , vol.37 , pp. 255-339
    • Kessler, D.A.1    Koplik, J.2    Levine, H.3
  • 22
    • 4243338898 scopus 로고
    • Viscous fingering fractals in porous media
    • K. J. Måløy, J. Feder and T. Jøssang, Viscous fingering fractals in porous media, Phys. Rev. Lett., 55 (1985), 2688-2691.
    • (1985) Phys. Rev. Lett. , vol.55 , pp. 2688-2691
    • Måløy, K.J.1    Feder, J.2    Jøssang, T.3
  • 23
    • 33947408080 scopus 로고    scopus 로고
    • Nonlinear simulation of the effect of microenvironment on tumor growth
    • Paul Macklin and John Lowengrub, Nonlinear simulation of the effect of microenvironment on tumor growth, J. Theor. Biol., 245 (2007), 677-704.
    • (2007) J. Theor. Biol. , vol.245 , pp. 677-704
    • Macklin, P.1    Lowengrub, J.2
  • 24
    • 44949291022 scopus 로고
    • Diffusion-limited growth in bacterial colony formation
    • M. Matsushita and H. Fujikawa, Diffusion-limited growth in bacterial colony formation, Physica A, 168 (1990), 498-506.
    • (1990) Physica A , vol.168 , pp. 498-506
    • Matsushita, M.1    Fujikawa, H.2
  • 25
    • 0001281598 scopus 로고
    • Fractal structures of zinc metal leaves grown by electrodeposition
    • M. Matsushita, M. Sano, Y. Hayakawa, H. Honjo and Y. Sawada, Fractal structures of zinc metal leaves grown by electrodeposition, Phys. Rev. Lett., 53 (1984), 286-289.
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 286-289
    • Matsushita, M.1    Sano, M.2    Hayakawa, Y.3    Honjo, H.4    Sawada, Y.5
  • 27
    • 41149158393 scopus 로고
    • Self-affine fractal growth front of aspergillus oryzae
    • S. Matsuura and S. Miyazima, Self-affine fractal growth front of aspergillus oryzae, Physica A, 191 (1992), 30-34.
    • (1992) Physica A , vol.191 , pp. 30-34
    • Matsuura, S.1    Miyazima, S.2
  • 28
    • 36849117884 scopus 로고
    • Morphological stability of a particle growing by diffusion or heat flow
    • W. W. Mullins and R. F. Sekerka, Morphological stability of a particle growing by diffusion or heat flow, Journal of Applied Physics, 34 (1963), 323-329.
    • (1963) Journal of Applied Physics , vol.34 , pp. 323-329
    • Mullins, W.W.1    Sekerka, R.F.2
  • 31
    • 0347379802 scopus 로고    scopus 로고
    • Microenvironmental regulation of the initiated cell
    • H. Rubin, Microenvironmental regulation of the initiated cell, Adv. Cancer Res., 90 (2003), 1-62.
    • (2003) Adv. Cancer Res. , vol.90 , pp. 1-62
    • Rubin, H.1
  • 33
    • 0024281372 scopus 로고
    • Cell and environment interactions in tumor microregions: The multicell spheroid model
    • R. M. Sutherland, Cell and environment interactions in tumor microregions: The multicell spheroid model, Science, 240 (1988), 177-184.
    • (1988) Science , vol.240 , pp. 177-184
    • Sutherland, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.