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Volumn , Issue 9780817647124, 2008, Pages

Tumour cords and their response to anticancer agents

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EID: 84867840957     PISSN: 21643679     EISSN: 21643725     Source Type: Book Series    
DOI: 10.1007/978-0-8176-4713-1_7     Document Type: Chapter
Times cited : (3)

References (41)
  • 1
    • 25144494216 scopus 로고    scopus 로고
    • A hybrid mathematical model of solid tumour invasion: The importance of cell adhesion
    • Anderson, A.R.: A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. Math. Med. Biol., 22, 163–86 (2005).
    • (2005) Math. Med. Biol. , vol.22 , pp. 163-186
    • Anderson, A.R.1
  • 2
    • 2342520039 scopus 로고    scopus 로고
    • New insights into vascular collapse and growth dynamics in solid tumors
    • Araujo, R.P., McElwain, D.L.S.: New insights into vascular collapse and growth dynamics in solid tumors. J. Theor. Biol., 228, 335–46 (2004).
    • (2004) J. Theor. Biol. , vol.228 , pp. 335-346
    • Araujo, R.P.1    McElwain, D.L.S.2
  • 3
    • 3843079723 scopus 로고    scopus 로고
    • A history of the study of solid tumour growth: The contribution of mathematical modelling
    • Araujo, R.P., McElwain, D.L.S.: A history of the study of solid tumour growth: the contribution of mathematical modelling. Bull. Math. Biol., 66, 1039–91 (2004).
    • (2004) Bull. Math. Biol. , vol.66 , pp. 1039-1091
    • Araujo, R.P.1    McElwain, D.L.S.2
  • 4
    • 0007763653 scopus 로고    scopus 로고
    • Biological therapy of cancer
    • Tannock, I.F., Hill, R.P., McGraw-Hill, New York
    • Berinstein, N.L.: Biological therapy of cancer. In: Tannock, I.F., Hill, R.P. (eds) The Basic Science of Oncology. McGraw-Hill, New York, pp. 420–42 (1998).
    • (1998) The Basic Science of Oncology , pp. 420-442
    • Berinstein, N.L.1
  • 5
    • 0034697619 scopus 로고    scopus 로고
    • Cell kinetics in a tumour cord
    • Bertuzzi, A., Gandolfi, A.: Cell kinetics in a tumour cord. J. Theor. Biol., 204, 587–99 (2000).
    • (2000) J. Theor. Biol. , vol.204 , pp. 587-599
    • Bertuzzi, A.1    Gandolfi, A.2
  • 6
    • 0036234535 scopus 로고    scopus 로고
    • Cell kinetics in tumour cords studied by a model with variable cell cycle length
    • Bertuzzi, A., Fasano, A., Gandolfi, A., Marangi, D.: Cell kinetics in tumour cords studied by a model with variable cell cycle length. Math. Biosci., 25 (2002).
    • (2002) Math. Biosci. , pp. 25
    • Bertuzzi, A.1    Fasano, A.2    Gandolfi, A.3    Marangi, D.4
  • 7
    • 0041426312 scopus 로고    scopus 로고
    • Regression and regrowth of tumour cords following single-dose anticancer treatment
    • Bertuzzi, A., d’Onofrio, A., Fasano, A., Gandolfi, A.: Regression and regrowth of tumour cords following single-dose anticancer treatment. Bull. Math. Biol., 65, 903–31 (2003).
    • (2003) Bull. Math. Biol. , vol.65 , pp. 903-931
    • Bertuzzi, A.1    D’Onofrio, A.2    Fasano, A.3    Gandolfi, A.4
  • 8
    • 18744372738 scopus 로고    scopus 로고
    • A free boundary problem with unilateral constraints describing the evolution of a tumour cord under the influence of cell killing agents
    • Bertuzzi, A., Fasano, A., Gandolfi, A.: A free boundary problem with unilateral constraints describing the evolution of a tumour cord under the influence of cell killing agents. SIAM J. Math. Anal., 36, 882–915 (2004).
    • (2004) SIAM J. Math. Anal. , vol.36 , pp. 882-915
    • Bertuzzi, A.1    Fasano, A.2    Gandolfi, A.3
  • 9
    • 27644540984 scopus 로고    scopus 로고
    • A mathematical model for tumor cords incorporating the flow of interstitial fluid. Math. Mod. Meth
    • Bertuzzi, A., Fasano, A., Gandolfi, A.: A mathematical model for tumor cords incorporating the flow of interstitial fluid. Math. Mod. Meth. Appl. Sci., 15, 1735–77 (2005).
    • (2005) Appl. Sci. , vol.15 , pp. 1735-1777
    • Bertuzzi, A.1    Fasano, A.2    Gandolfi, A.3
  • 10
    • 56649089188 scopus 로고    scopus 로고
    • Interstitial pressure and extracellular fluid motion in tumor cords
    • Bertuzzi, A., Fasano, A., Gandolfi, A., Sinisgalli, S.: Interstitial pressure and extracellular fluid motion in tumor cords. Math. Biosci. Engng., 2, 445–60 (2005).
    • (2005) Math. Biosci. Engng. , vol.2 , pp. 445-460
    • Bertuzzi, A.1    Fasano, A.2    Gandolfi, A.3    Sinisgalli, S.4
  • 11
    • 33845888808 scopus 로고    scopus 로고
    • Cell resensitization after delivery of a cycle-specific anticancer drug and effect of dose splitting: Learning from tumour cords
    • Bertuzzi, A., Fasano, A., Gandolfi, A., Sinisgalli, C.: Cell resensitization after delivery of a cycle-specific anticancer drug and effect of dose splitting: learning from tumour cords. J. Theor. Biol., 244, 388–99 (2007).
    • (2007) J. Theor. Biol. , vol.244 , pp. 388-399
    • Bertuzzi, A.1    Fasano, A.2    Gandolfi, A.3    Sinisgalli, C.4
  • 13
    • 43349095484 scopus 로고    scopus 로고
    • Reoxygenation and split-dose response to radiation in tumours with Krogh-like vasculature
    • Bertuzzi, A., Fasano, A., Gandolfi, A., Sinisgalli, C.: Reoxygenation and split-dose response to radiation in tumours with Krogh-like vasculature. Bull. Math. Biol., in press. DOI 10.1007/s11538-007-9287-9 (2008).
    • (2008) Bull. Math. Biol.
    • Bertuzzi, A.1    Fasano, A.2    Gandolfi, A.3    Sinisgalli, C.4
  • 15
    • 0038306402 scopus 로고    scopus 로고
    • A multiphase model describing vascular tumour growth
    • Breward, C.J.W., Byrne, H.M., Lewis, C.E.: A multiphase model describing vascular tumour growth. Bull. Math. Biol., 65, 609–40 (2003).
    • (2003) Bull. Math. Biol. , vol.65 , pp. 609-640
    • Breward, C.J.W.1    Byrne, H.M.2    Lewis, C.E.3
  • 17
    • 14044250250 scopus 로고    scopus 로고
    • Modelling avascular tumour growth
    • Preziosi, L., Chapman & Hall/CRC, Boca Raton
    • Byrne, H.M.: Modelling avascular tumour growth. In: Preziosi, L. (ed) Cancer Modelling and Simulation. Chapman & Hall/CRC, Boca Raton, pp. 75–120 (2003).
    • (2003) Cancer Modelling and Simulation , pp. 75-120
    • Byrne, H.M.1
  • 18
    • 0842281982 scopus 로고    scopus 로고
    • Modelling solid tumour growth using the theory of mixtures
    • Byrne, H.M., Preziosi, L.: Modelling solid tumour growth using the theory of mixtures. Math. Med. Biol., 20, 341–66 (2003).
    • (2003) Math. Med. Biol. , vol.20 , pp. 341-366
    • Byrne, H.M.1    Preziosi, L.2
  • 19
    • 0026575319 scopus 로고
    • Mathematical modelling of microenvironment and growth in EMT6/Ro multicellular tumour spheroids
    • Casciari, J.J., Sotirchos, S.V., Sutherland, R.M.: Mathematical modelling of microenvironment and growth in EMT6/Ro multicellular tumour spheroids. Cell. Prolif., 25, 1–22 (1992).
    • (1992) Cell. Prolif. , vol.25 , pp. 1-22
    • Casciari, J.J.1    Sotirchos, S.V.2    Sutherland, R.M.3
  • 20
    • 33750099897 scopus 로고    scopus 로고
    • Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
    • Chaplain, M.A., Graziano, L., Preziosi, L.: Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development. Math. Med. Biol., 23, 197–229 (2006).
    • (2006) Math. Med. Biol. , vol.23 , pp. 197-229
    • Chaplain, M.A.1    Graziano, L.2    Preziosi, L.3
  • 22
    • 0022479913 scopus 로고
    • Lethal and potentially lethal lesions induced by radiation-a unified repair model
    • Curtis, S.B.: Lethal and potentially lethal lesions induced by radiation-a unified repair model. Radiat. Res., 106, 252–70 (1986).
    • (1986) Radiat. Res. , vol.106 , pp. 252-270
    • Curtis, S.B.1
  • 23
    • 24944570594 scopus 로고    scopus 로고
    • The evolution of a tumor cord cell population. Comm. Pure
    • Dyson, J., Villella-Bressan, R., Webb, G.F.: The evolution of a tumor cord cell population. Comm. Pure Appl. Anal., 3, 331–52 (2004).
    • (2004) Appl. Anal. , vol.3 , pp. 331-352
    • Dyson, J.1    Villella-Bressan, R.2    Webb, G.F.3
  • 24
    • 84900045268 scopus 로고    scopus 로고
    • Mathematical modelling of tumour growth and treatment
    • Quarteroni, A., Formaggia, L., Veneziani, A., Springer-Verlag Italia, Milano
    • Fasano, A., Bertuzzi, A., Gandolfi, A.: Mathematical modelling of tumour growth and treatment. In: Quarteroni, A., Formaggia, L., Veneziani, A. (eds) Complex Systems in Biomedicine. Springer-Verlag Italia, Milano, pp. 71–108 (2006).
    • (2006) Complex Systems in Biomedicine , pp. 71-108
    • Fasano, A.1    Bertuzzi, A.2    Gandolfi, A.3
  • 25
    • 41349093099 scopus 로고    scopus 로고
    • The reaction diffusion model for the growth of avascular tumors
    • Ferreira Junior, S.C., Matrins, M.L., Vilela, M.J.: The reaction diffusion model for the growth of avascular tumors. Phys. Rev. E, 65, 1–8 (2002).
    • (2002) Phys. Rev. E , vol.65 , pp. 1-8
    • Ferreira Junior, S.C.1    Matrins, M.L.2    Vilela, M.J.3
  • 26
    • 0033094895 scopus 로고    scopus 로고
    • Analysis of a mathematical model for the growth of tumors
    • Friedman, A., Reitich, F.: Analysis of a mathematical model for the growth of tumors. J. Math. Biol., 38, 262–84 (1999).
    • (1999) J. Math. Biol. , vol.38 , pp. 262-284
    • Friedman, A.1    Reitich, F.2
  • 27
    • 1342310604 scopus 로고    scopus 로고
    • Analysis of a model of a virus that replicates selectively in tumor cells
    • Friedman, A., Tao, Y.: Analysis of a model of a virus that replicates selectively in tumor cells. J. Math. Biol., 47, 391–423 (2003).
    • (2003) J. Math. Biol. , vol.47 , pp. 391-423
    • Friedman, A.1    Tao, Y.2
  • 29
    • 0018330397 scopus 로고
    • Tumour cell proliferation in relation to the vasculature
    • Hirst, D.G., Denekamp, J.: Tumour cell proliferation in relation to the vasculature. Cell Tissue Kinet., 12, 31–42 (1979).
    • (1979) Cell Tissue Kinet. , vol.12 , pp. 31-42
    • Hirst, D.G.1    Denekamp, J.2
  • 30
    • 0027939973 scopus 로고
    • Influence of time-dependent stochastic heterogeneity on the radiation response of a cell population
    • Hlatky, L.R., Hahnfeldt, P., Sachs, R.K.: Influence of time-dependent stochastic heterogeneity on the radiation response of a cell population. Math. Biosci., 122, 201–20 (1994).
    • (1994) Math. Biosci. , vol.122 , pp. 201-220
    • Hlatky, L.R.1    Hahnfeldt, P.2    Sachs, R.K.3
  • 31
    • 11844254414 scopus 로고    scopus 로고
    • Normalization of tumor vasculature: An emerging concept in antiangiogenic therapy
    • Jain, R.K.: Normalization of tumor vasculature: an emerging concept in antiangiogenic therapy. Science, 307, 58–62 (2005).
    • (2005) Science , vol.307 , pp. 58-62
    • Jain, R.K.1
  • 32
    • 84911539247 scopus 로고
    • The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary to supply the tissue
    • Krogh, A.: The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary to supply the tissue. J. Physiol., 52, 409–15 (1919).
    • (1919) J. Physiol. , vol.52 , pp. 409-415
    • Krogh, A.1
  • 33
    • 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., 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, 407–13 (1985).
    • (1985) Br. J. Cancer , vol.51 , pp. 407-413
    • Moore, J.V.1    Hasleton, P.S.2    Buckley, C.H.3
  • 34
    • 0023093713 scopus 로고
    • Multicellular spheroids: A review on cellular aggregates in cancer research
    • Mueller-Klieser, W.: Multicellular spheroids: A review on cellular aggregates in cancer research. J. Cancer Res. Clin. Oncol., 113, 101–22 (1987).
    • (1987) J. Cancer Res. Clin. Oncol. , vol.113 , pp. 101-122
    • Mueller-Klieser, W.1
  • 36
    • 0014292997 scopus 로고
    • The relation between cell proliferation and the vascular system in a transplanted mouse mammary tumour
    • Tannock, I.F.: The relation between cell proliferation and the vascular system in a transplanted mouse mammary tumour. Br. J. Cancer, 22, 258–73 (1968).
    • (1968) Br. J. Cancer , vol.22 , pp. 258-273
    • Tannock, I.F.1
  • 37
    • 0021999205 scopus 로고
    • An ‘incomplete-repair’ model for survival after fractionated and continuous irradiations
    • Thames, H.D.: An ‘incomplete-repair’ model for survival after fractionated and continuous irradiations. Int. J. Radiat. Biol., 47, 319–39 (1985).
    • (1985) Int. J. Radiat. Biol. , vol.47 , pp. 319-339
    • Thames, H.D.1
  • 38
    • 33747162432 scopus 로고    scopus 로고
    • Incorporating energy metabolism into a growth model of multicellular tumor spheroids
    • Venkatasubramanian, R., Henson, M.A., Forbes, N.S.: Incorporating energy metabolism into a growth model of multicellular tumor spheroids. J. Theor. Biol., 242, 440–53 (2006).
    • (2006) J. Theor. Biol. , vol.242 , pp. 440-453
    • Venkatasubramanian, R.1    Henson, M.A.2    Forbes, N.S.3
  • 39
    • 0042173918 scopus 로고    scopus 로고
    • The steady state of a tumor cord cell population
    • Webb, G.F.: The steady state of a tumor cord cell population. J. Evolut. Equat., 2, 425–38 (2002).
    • (2002) J. Evolut. Equat. , vol.2 , pp. 425-438
    • Webb, G.F.1
  • 40
    • 0037444281 scopus 로고    scopus 로고
    • Validation and analysis of a mathematical model of a replication-competent oncolytic virus for cancer treatment: Implications for virus design and delivery
    • Wein, L.M., Wu, J.T., Kirn, D.H.: Validation and analysis of a mathematical model of a replication-competent oncolytic virus for cancer treatment: implications for virus design and delivery. Cancer Res., 63, 1317–24 (2003).
    • (2003) Cancer Res , vol.63 , pp. 1317-1324
    • Wein, L.M.1    Wu, J.T.2    Kirn, D.H.3
  • 41
    • 0030926491 scopus 로고    scopus 로고
    • Cells at intermediate oxygen levels can be more important than the “hypoxic fraction” in determining tumor response to fractionated radiotherapy
    • Wouters, B.G., Brown, J.M.: Cells at intermediate oxygen levels can be more important than the “hypoxic fraction” in determining tumor response to fractionated radiotherapy. Radiat. Res., 147, 541–50 (1997).
    • (1997) Radiat. Res. , vol.147 , pp. 541-550
    • Wouters, B.G.1    Brown, J.M.2


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