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Volumn 5, Issue , 2010, Pages

Oscillatory dynamics in a model of vascular tumour growth - implications for chemotherapy

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; ARTICLE; HUMAN; NEOPLASM; NEOVASCULARIZATION (PATHOLOGY); PATHOLOGY; THEORETICAL MODEL;

EID: 77952958111     PISSN: None     EISSN: 17456150     Source Type: Journal    
DOI: 10.1186/1745-6150-5-27     Document Type: Article
Times cited : (20)

References (35)
  • 2
    • 0033178578 scopus 로고    scopus 로고
    • Taxane-induced apoptosis decompresses blood vessels and lowers interstitial fluid pressure in solid tumours: clinical implications
    • Griffon-Etienne G, Boucher Y, Brekken C, Suit HD, Jain RK. Taxane-induced apoptosis decompresses blood vessels and lowers interstitial fluid pressure in solid tumours: clinical implications. Cancer Res 1999, 59:3776-3782.
    • (1999) Cancer Res , vol.59 , pp. 3776-3782
    • Griffon-Etienne, G.1    Boucher, Y.2    Brekken, C.3    Suit, H.D.4    Jain, R.K.5
  • 3
    • 0038306402 scopus 로고    scopus 로고
    • A multiphase model describing vascular tumour growth
    • 10.1016/S0092-8240(03)00027-2, 12875336
    • Breward CJW, Byrne HM, Lewis CE. A multiphase model describing vascular tumour growth. Bull Math Biol 2003, 65:609-640. 10.1016/S0092-8240(03)00027-2, 12875336.
    • (2003) Bull Math Biol , vol.65 , pp. 609-640
    • Breward, C.J.W.1    Byrne, H.M.2    Lewis, C.E.3
  • 4
    • 31744436820 scopus 로고    scopus 로고
    • The role of mechanical host-tumour interactions in the collapse of tumour blood vessels and tumour growth dynamics
    • 10.1016/j.jtbi.2005.06.033, 16384586
    • Araujo RP, McElwain DLS. The role of mechanical host-tumour interactions in the collapse of tumour blood vessels and tumour growth dynamics. J Theor Biol 2006, 238:817-827. 10.1016/j.jtbi.2005.06.033, 16384586.
    • (2006) J Theor Biol , vol.238 , pp. 817-827
    • Araujo, R.P.1    McElwain, D.L.S.2
  • 5
    • 0037840352 scopus 로고    scopus 로고
    • A computer algorithm describing the process of vessel formation and maturation, and its use for predicting the effects of anti-angiogenic and anti-maturation therapy on vascular tumour growth
    • 10.1023/A:1023841921971, 12831061
    • Arakelyan L, Vainstein V, Agur Z. A computer algorithm describing the process of vessel formation and maturation, and its use for predicting the effects of anti-angiogenic and anti-maturation therapy on vascular tumour growth. Angiogenesis 2002, 5:203-214. 10.1023/A:1023841921971, 12831061.
    • (2002) Angiogenesis , vol.5 , pp. 203-214
    • Arakelyan, L.1    Vainstein, V.2    Agur, Z.3
  • 6
    • 11144315531 scopus 로고    scopus 로고
    • Vessel maturation effects on tumour growth: validation of a computer model in implanted human ovarian carcinoma spheroids
    • Arakelyan L, Merbl Y, Agur Z. Vessel maturation effects on tumour growth: validation of a computer model in implanted human ovarian carcinoma spheroids. Eur J Canc 2005, 41:159-167.
    • (2005) Eur J Canc , vol.41 , pp. 159-167
    • Arakelyan, L.1    Merbl, Y.2    Agur, Z.3
  • 7
    • 8744228986 scopus 로고    scopus 로고
    • Travelling-wave analysis of a model of the immune response to cancer
    • Matzavinos A, Chaplain MAJ. Travelling-wave analysis of a model of the immune response to cancer. C. R. Biologies 2004, 327:995-1008.
    • (2004) C. R. Biologies , vol.327 , pp. 995-1008
    • Matzavinos, A.1    Chaplain, M.A.J.2
  • 8
    • 1642348723 scopus 로고    scopus 로고
    • Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour
    • 10.1093/imammb/21.1.1, 15065736
    • Matzavinos A, Chaplain MAJ. Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour. Math Med Biol 2004, 21:1-34. 10.1093/imammb/21.1.1, 15065736.
    • (2004) Math Med Biol , vol.21 , pp. 1-34
    • Matzavinos, A.1    Chaplain, M.A.J.2
  • 9
    • 0031558747 scopus 로고    scopus 로고
    • Pattern formation and spatiotemporal irregularity in a model for macrophage-tumour interactions
    • 10.1006/jtbi.1997.0494, 9398504
    • Owen MR, Sherratt JA. Pattern formation and spatiotemporal irregularity in a model for macrophage-tumour interactions. J Theor Biol 1997, 189:63-80. 10.1006/jtbi.1997.0494, 9398504.
    • (1997) J Theor Biol , vol.189 , pp. 63-80
    • Owen, M.R.1    Sherratt, J.A.2
  • 10
    • 0023909330 scopus 로고
    • Determinants of tumor blood flow: a review
    • Jain R. Determinants of tumor blood flow: a review. Canc Res 1988, 48:2641-2658.
    • (1988) Canc Res , vol.48 , pp. 2641-2658
    • Jain, R.1
  • 11
    • 11844254414 scopus 로고    scopus 로고
    • Normalization of tumor vasculature: an emerging concept in antiangiogenic therapy
    • 10.1126/science.1104819, 15637262
    • Jain RK. Normalization of tumor vasculature: an emerging concept in antiangiogenic therapy. Science 2005, 307:58-62. 10.1126/science.1104819, 15637262.
    • (2005) Science , vol.307 , pp. 58-62
    • Jain, R.K.1
  • 12
    • 0033822142 scopus 로고    scopus 로고
    • A mathematical model for comparison of bolus injection, continuous infusion, and liposomal delivery of doxorubicin to tumor cells
    • 10.1038/sj.neo.7900096, 1550297, 11005567
    • El-Kareh AW, Secomb TW. A mathematical model for comparison of bolus injection, continuous infusion, and liposomal delivery of doxorubicin to tumor cells. Neoplasia 2000, 2:325-338. 10.1038/sj.neo.7900096, 1550297, 11005567.
    • (2000) Neoplasia , vol.2 , pp. 325-338
    • El-Kareh, A.W.1    Secomb, T.W.2
  • 13
    • 0022587683 scopus 로고
    • Comparative pharmacokinetics of free doxorubicin and doxorubicin entrapped in cardiolipin liposomes
    • Rahman A, Carmichael D, Harris M, Roh JK. Comparative pharmacokinetics of free doxorubicin and doxorubicin entrapped in cardiolipin liposomes. Canc Res 1986, 46:2295-229.
    • (1986) Canc Res , vol.46 , pp. 2295-3229
    • Rahman, A.1    Carmichael, D.2    Harris, M.3    Roh, J.K.4
  • 14
    • 0037219540 scopus 로고    scopus 로고
    • Intracellular accumulation and mechanism of action of doxorubicin in a spatio-temporal tumor model
    • Jackson TL. Intracellular accumulation and mechanism of action of doxorubicin in a spatio-temporal tumor model. J Ther Biol 2003, 220:201-213.
    • (2003) J Ther Biol , vol.220 , pp. 201-213
    • Jackson, T.L.1
  • 15
    • 13244297069 scopus 로고    scopus 로고
    • A mathematical model of doxorubicin treatment efficacy for non-Hodgkin's lymphoma: investigation of the current protocol through theoretical modelling results
    • 10.1016/j.bulm.2004.06.007, 15691540
    • Ribba B, Marron K, Agur Z, Alarcón T, Maini PK. A mathematical model of doxorubicin treatment efficacy for non-Hodgkin's lymphoma: investigation of the current protocol through theoretical modelling results. Bull Math Biol 2005, 67:79-99. 10.1016/j.bulm.2004.06.007, 15691540.
    • (2005) Bull Math Biol , vol.67 , pp. 79-99
    • Ribba, B.1    Marron, K.2    Agur, Z.3    Alarcón, T.4    Maini, P.K.5
  • 16
    • 0030814768 scopus 로고    scopus 로고
    • Oscillations and chaos behind predator-prey invasion: mathematical artifact or ecological reality?
    • Sherratt JA, Eagan BT, Lewis MA. Oscillations and chaos behind predator-prey invasion: mathematical artifact or ecological reality?. Phil Trans R Soc Lond B 1997, 352:21-38.
    • (1997) Phil Trans R Soc Lond B , vol.352 , pp. 21-38
    • Sherratt, J.A.1    Eagan, B.T.2    Lewis, M.A.3
  • 17
    • 0035127918 scopus 로고    scopus 로고
    • Periodic travelling waves in cyclic predator-prey systems
    • Sherratt JA. Periodic travelling waves in cyclic predator-prey systems. Ecology Letters 2001, 4:30-37.
    • (2001) Ecology Letters , vol.4 , pp. 30-37
    • Sherratt, J.A.1
  • 18
    • 0002670122 scopus 로고    scopus 로고
    • A mathematical model of vascular tumour growth and invasion
    • Orme ME, Chaplain MAJ. A mathematical model of vascular tumour growth and invasion. Math Comput Modelling 1996, 23:43-60.
    • (1996) Math Comput Modelling , vol.23 , pp. 43-60
    • Orme, M.E.1    Chaplain, M.A.J.2
  • 19
    • 2442606603 scopus 로고    scopus 로고
    • Synergistic effects of hyperoxic gas breathing and reduced oxygen consumption on tumor oxygenation: a thereoretical model
    • Secomb T, Hsu R, Dewhirst MW. Synergistic effects of hyperoxic gas breathing and reduced oxygen consumption on tumor oxygenation: a thereoretical model. Int J Radiation Oncology Biol Phys 2004, 59:572-578.
    • (2004) Int J Radiation Oncology Biol Phys , vol.59 , pp. 572-578
    • Secomb, T.1    Hsu, R.2    Dewhirst, M.W.3
  • 21
    • 0026568374 scopus 로고
    • Variations in tumour cell growth rates and metabolism with oxygen concentration, glucose concentration and extracellular pH
    • 10.1002/jcp.1041510220, 1572910
    • Casciari JJ, Sotirchos SV, Sutherland RM. Variations in tumour cell growth rates and metabolism with oxygen concentration, glucose concentration and extracellular pH. J Cell Physiol 1992, 151:386-394. 10.1002/jcp.1041510220, 1572910.
    • (1992) J Cell Physiol , vol.151 , pp. 386-394
    • Casciari, J.J.1    Sotirchos, S.V.2    Sutherland, R.M.3
  • 23
    • 34250712338 scopus 로고    scopus 로고
    • Macrophage-based anti-cancer therapy: modelling different modes of tumour targeting
    • 10.1007/s11538-006-9189-2, 17333419
    • Webb SD, Owen MR, Byrne HM, Murdoch C, Lewis CE. Macrophage-based anti-cancer therapy: modelling different modes of tumour targeting. Bull Math Biol 2007, 69:1747-1776. 10.1007/s11538-006-9189-2, 17333419.
    • (2007) Bull Math Biol , vol.69 , pp. 1747-1776
    • Webb, S.D.1    Owen, M.R.2    Byrne, H.M.3    Murdoch, C.4    Lewis, C.E.5
  • 24
    • 0033302303 scopus 로고    scopus 로고
    • Transport of molecules, particles, and cells in solid tumors
    • Jain RK. Transport of molecules, particles, and cells in solid tumors. Annu Rev Biomed Eng 1999, 01:241-263.
    • (1999) Annu Rev Biomed Eng , vol.1 , pp. 241-263
    • Jain, R.K.1
  • 25
    • 77953675277 scopus 로고    scopus 로고
    • NAG Fortran library routine document D03PCF/D03PCA
    • NAG Fortran library routine document D03PCF/D03PCA. , http://www.nag.co.uk/numeric/Fl/manual/pdf/D03/d03pcf.pdf
  • 27
    • 0001218738 scopus 로고    scopus 로고
    • Invading wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave
    • Sherratt JA. Invading wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave. Physica D 1998, 117:145-166.
    • (1998) Physica D , vol.117 , pp. 145-166
    • Sherratt, J.A.1
  • 29
    • 0037119527 scopus 로고    scopus 로고
    • Dynamical stabilization of an unstable equiibrium in chemical and biological systems
    • Malchow H, Petrovskii SV. Dynamical stabilization of an unstable equiibrium in chemical and biological systems. Math Comp Mod 2002, 36:307-319.
    • (2002) Math Comp Mod , vol.36 , pp. 307-319
    • Malchow, H.1    Petrovskii, S.V.2
  • 30
    • 0242607878 scopus 로고    scopus 로고
    • Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion
    • Swanson KR, Bridge C, Murray JD, Jr ECA. Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion. J Neurological Sci 2003, 216:1-10.
    • (2003) J Neurological Sci , vol.216 , pp. 1-10
    • Swanson, K.R.1    Bridge, C.2    Murray, J.D.3    Jr, E.C.A.4
  • 32
    • 10944242667 scopus 로고    scopus 로고
    • Antiangiogenic therapy: creating a unique "window" of opportunity
    • Lin MI, Sessa WC. Antiangiogenic therapy: creating a unique "window" of opportunity. Cancer Cell 2004, 6:529-531.
    • (2004) Cancer Cell , vol.6 , pp. 529-531
    • Lin, M.I.1    Sessa, W.C.2
  • 35
    • 71749094039 scopus 로고    scopus 로고
    • Reaction-difusion model of early carcinogenesis: The effects of influx of mutated cells
    • Marciniak-Czochra A, Kimmel M. Reaction-difusion model of early carcinogenesis: The effects of influx of mutated cells. Math Model Nat Phenom 2008, 3:90-114.
    • (2008) Math Model Nat Phenom , vol.3 , pp. 90-114
    • Marciniak-Czochra, A.1    Kimmel, M.2


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