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Volumn 53, Issue 24, 2008, Pages 7225-7239

Mathematical modeling of liver metastases tumour growth and control with radiotherapy

Author keywords

[No Author keywords available]

Indexed keywords

CELL GROWTH; DYNAMICS; ENZYME INHIBITION; ENZYMES; FUNCTIONS; GROWTH (MATERIALS); LIVER; MATHEMATICAL MODELS; RADIOTHERAPY;

EID: 58149229421     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/53/24/015     Document Type: Article
Times cited : (13)

References (42)
  • 1
    • 3843079723 scopus 로고    scopus 로고
    • A history of the study of solid tumour growth: The contribution of mathematical modeling
    • Araujo R and McElwain D 2004 A history of the study of solid tumour growth: the contribution of mathematical modeling Bull. Math. Biol. 66 1039-91
    • (2004) Bull. Math. Biol. , vol.66 , Issue.5 , pp. 1039-1091
    • Araujo, R.1    McElwain, D.2
  • 2
    • 6344280338 scopus 로고    scopus 로고
    • Determination of the optimum dose per fraction in fractionated radiotherapy when there is delayed onset of tumour repopulation during treatment
    • Armpilia C I, Dale R G and Jones B 2004 Determination of the optimum dose per fraction in fractionated radiotherapy when there is delayed onset of tumour repopulation during treatment The Br. J. Radiol. 77 765-7
    • (2004) The Br. J. Radiol. , vol.77 , Issue.921 , pp. 765-767
    • Armpilia, C.I.1    Dale, R.G.2    Jones, B.3
  • 3
    • 43349095484 scopus 로고    scopus 로고
    • Reoxygenation and split-dose response to radiation in a tumour model with Krogh-type vascular geometry
    • Bertuzzi A, Fasano A, Gandolfi A and Sinisgalli C 2008 Reoxygenation and split-dose response to radiation in a tumour model with Krogh-type vascular geometry Bull. Math. Biol. 70 992-1012
    • (2008) Bull. Math. Biol. , vol.70 , Issue.4 , pp. 992-1012
    • Bertuzzi, A.1    Fasano, A.2    Gandolfi, A.3    Sinisgalli, C.4
  • 4
    • 0030822132 scopus 로고    scopus 로고
    • The effect of time delays on the dynamics of avascular tumour growth
    • Byrne H M 1997 The effect of time delays on the dynamics of avascular tumour growth Math. Biosci. 144 83-117
    • (1997) Math. Biosci. , vol.144 , Issue.2 , pp. 83-117
    • Byrne, H.M.1
  • 6
    • 33748290305 scopus 로고    scopus 로고
    • Effects of oxygen on intrinsic radiation sensitivity: A test of the relationship between aerobic and hypoxic linear-quadratic (LQ) model parameters
    • Carlson D J, Stewart R D and Semenenko V A 2006 Effects of oxygen on intrinsic radiation sensitivity: a test of the relationship between aerobic and hypoxic linear-quadratic (LQ) model parameters Med. Phys. 33 3105-15
    • (2006) Med. Phys. , vol.33 , Issue.9 , pp. 3105-3115
    • Carlson, D.J.1    Stewart, R.D.2    Semenenko, V.A.3
  • 7
    • 3242710586 scopus 로고    scopus 로고
    • A stochastic model for prostate-specific antigen levels
    • Dayananda P W A, Kemper J T and Shvartsman M M 2004 A stochastic model for prostate-specific antigen levels Math. Biosci. 190 113-26
    • (2004) Math. Biosci. , vol.190 , Issue.2 , pp. 113-126
    • Dayananda, P.W.A.1    Kemper, J.T.2    Shvartsman, M.M.3
  • 9
    • 33745507901 scopus 로고    scopus 로고
    • Delay differential equations and the dose-time dependence of early radiotherapy reactions
    • Fenwick J D 2006 Delay differential equations and the dose-time dependence of early radiotherapy reactions Med. Phys. 33 3526-40
    • (2006) Med. Phys. , vol.33 , Issue.9 , pp. 3526-3540
    • Fenwick, J.D.1
  • 11
    • 85013312416 scopus 로고
    • Tumour angiogenesis: Therapeutic implications
    • Folkman J 1971 Tumour angiogenesis: therapeutic implications New Engl. J. Med. 285 1182-6
    • (1971) New Engl. J. Med. , vol.285 , pp. 1182-1186
    • Folkman, J.1
  • 12
    • 13444282229 scopus 로고    scopus 로고
    • Liver enzyme alteration: A guide for clinicians
    • Giannini E G, Testa R and Savarino V 2005 Liver enzyme alteration: a guide for clinicians CMAJ 172 367-79
    • (2005) CMAJ , vol.172 , pp. 367-379
    • Giannini, E.G.1    Testa, R.2    Savarino, V.3
  • 13
    • 0003293418 scopus 로고
    • On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies
    • Gompertz B 1825 On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies Phil. Trans. R. Soc. Lond. 123 513-85
    • (1825) Phil. Trans. R. Soc. Lond. , vol.123 , pp. 513-585
    • Gompertz, B.1
  • 15
    • 49249085578 scopus 로고    scopus 로고
    • Usefulness of the serum carcinoembryonic antigen kinetic for chemotherapy monitoring in patients with unresectable metastasis of colorectal cancer
    • Iwanicki-Caron I et al 2008 Usefulness of the serum carcinoembryonic antigen kinetic for chemotherapy monitoring in patients with unresectable metastasis of colorectal cancer J. Clin. Oncol. 26 3681-6
    • (2008) J. Clin. Oncol. , vol.26 , Issue.22 , pp. 3681-3686
    • Iwanicki-Caron, I.1    Al, E.2
  • 16
    • 0020032572 scopus 로고
    • Postirradiation growth kinetics of viable and nonviable CHO cells
    • Jung H 1982 Postirradiation growth kinetics of viable and nonviable CHO cells Radiat. Res. 89 88-98
    • (1982) Radiat. Res. , vol.89 , Issue.1 , pp. 88-98
    • Jung, H.1
  • 17
  • 18
    • 33846782929 scopus 로고    scopus 로고
    • A mathematical model of the treatment and survival of patients with high-grade brain tumours
    • Kirkby N F, Jefferies S J, Jena R and Burnet N G 2007 A mathematical model of the treatment and survival of patients with high-grade brain tumours J. Theor. Biol. 245 112-24
    • (2007) J. Theor. Biol. , vol.245 , Issue.1 , pp. 112-124
    • Kirkby, N.F.1    Jefferies, S.J.2    Jena, R.3    Burnet, N.G.4
  • 19
    • 15344340912 scopus 로고    scopus 로고
    • Liver function tests: Their role in the diagnosis of hepatobiliary diseases
    • Knight J A 2005 Liver function tests: their role in the diagnosis of hepatobiliary diseases J. Infusion Nurs. 28 108-17
    • (2005) J. Infusion Nurs. , vol.28 , pp. 108-117
    • Knight, J.A.1
  • 20
    • 34250345272 scopus 로고    scopus 로고
    • Dynamics of tumour growth and combination of anti-angiogenic and cytotoxic therapies
    • Kohandel M, Kardar M, Milosevic M and Sivaloganathan S 2007 Dynamics of tumour growth and combination of anti-angiogenic and cytotoxic therapies Phys. Med. Biol. 52 3665-77
    • (2007) Phys. Med. Biol. , vol.52 , Issue.13 , pp. 3665-3677
    • Kohandel, M.1    Kardar, M.2    Milosevic, M.3    Sivaloganathan, S.4
  • 21
    • 33646040109 scopus 로고    scopus 로고
    • A mathematical model to study the effects of drugs administration on tumour growth dynamics
    • Magni P, Simeoni M, Poggesi I, Rocchetti M and De Nicolao G 2006 A mathematical model to study the effects of drugs administration on tumour growth dynamics Math. Biosci. 200 127-51
    • (2006) Math. Biosci. , vol.200 , Issue.2 , pp. 127-151
    • Magni, P.1    Simeoni, M.2    Poggesi, I.3    Rocchetti, M.4    De Nicolao, G.5
  • 22
    • 48949116110 scopus 로고    scopus 로고
    • Molecular Mechanisms for Individualized Cancer Care
    • Mansour J C and Schwarz R E 2008 Molecular Mechanisms for Individualized Cancer Care Am. College Surgeons 207 250-8
    • (2008) Am. College Surgeons , vol.207 , Issue.2 , pp. 250-258
    • Mansour, J.C.1    Schwarz, R.E.2
  • 23
    • 0028120986 scopus 로고
    • Analysis of growth of multicellular tumour spheroids by mathematical models
    • Marusic M, Bajzer Z, Freyer J P and Vuk-Pavlovic S 1994 Analysis of growth of multicellular tumour spheroids by mathematical models Cell Prolif. 27 73-94
    • (1994) Cell Prolif. , vol.27 , Issue.2 , pp. 73-94
    • Marusic, M.1    Bajzer, Z.2    Freyer, J.P.3    Vuk-Pavlovic, S.4
  • 24
    • 0035067958 scopus 로고    scopus 로고
    • Simple quantitative assay of alpha-fetoprotein mRNA in liver tissue using the real-time detection polymerase chain reaction assay-its application for clinical use
    • Matsumura M, Ijichi M, Shiratori Y, Togo G, Hikiba Y, Inoued K, Kohara M and Omata M 2001 Simple quantitative assay of alpha-fetoprotein mRNA in liver tissue using the real-time detection polymerase chain reaction assay-its application for clinical use Hepatol. Res. 20 84-96
    • (2001) Hepatol. Res. , vol.20 , Issue.1 , pp. 84-96
    • Matsumura, M.1    Ijichi, M.2    Shiratori, Y.3    Togo, G.4    Hikiba, Y.5    Inoued, K.6    Kohara, M.7    Omata, M.8
  • 25
    • 34247104182 scopus 로고    scopus 로고
    • Investigation of various growth mechanisms of solid tumour growth within the linear-quadratic model for radiotherapy
    • McAneney H and O'Rourke S F C 2007 Investigation of various growth mechanisms of solid tumour growth within the linear-quadratic model for radiotherapy Phys. Med. Biol. 52 1039-54
    • (2007) Phys. Med. Biol. , vol.52 , Issue.4 , pp. 1039-1054
    • McAneney, H.1    O'Rourke, S.F.C.2
  • 26
    • 0026066445 scopus 로고
    • Autocrine and paracrine growth factors in tumour growth: A mathematical model
    • Michelson S and Leith J 1991 Autocrine and paracrine growth factors in tumour growth: a mathematical model Bull. Math. Biol. 53 639-56
    • (1991) Bull. Math. Biol. , vol.53 , pp. 639-656
    • Michelson, S.1    Leith, J.2
  • 27
    • 0027665045 scopus 로고
    • Growth factors and growth control of heterogeneous cell populations
    • Michelson S and Leith J 1993 Growth factors and growth control of heterogeneous cell populations Bull. Math. Biol. 55 993-1011
    • (1993) Bull. Math. Biol. , vol.55 , pp. 993-1011
    • Michelson, S.1    Leith, J.2
  • 29
    • 0030880529 scopus 로고    scopus 로고
    • The response of tumours with Gompertzian growth characteristics to fractionated radiotherapy
    • O'Donoghue J A 1997 The response of tumours with Gompertzian growth characteristics to fractionated radiotherapy Int. J. Radiat. Biol. 72 325-39
    • (1997) Int. J. Radiat. Biol. , vol.72 , Issue.3 , pp. 325-339
    • O'Donoghue, J.A.1
  • 31
    • 33646249607 scopus 로고    scopus 로고
    • A multiscale mathematical model of cancer, and its use in analyzing irradiation therapies
    • Ribba B, Colin T and Schnell S 2006 A multiscale mathematical model of cancer, and its use in analyzing irradiation therapies Theor. Biol. Med. Modeling 3 7-26
    • (2006) Theor. Biol. Med. Modeling , vol.3 , Issue.1 , pp. 7-26
    • Ribba, B.1    Colin, T.2    Schnell, S.3
  • 32
    • 0027421147 scopus 로고
    • The delay before onset of accelerated tumour cell repopulation during radiotherapy: A direct maximum-likelihood analysis of a collection of worldwide tumour-control data
    • Roberts S A and Hendry J H 1993 The delay before onset of accelerated tumour cell repopulation during radiotherapy: a direct maximum-likelihood analysis of a collection of worldwide tumour-control data Radiotherap. Oncol. 29 69-74
    • (1993) Radiotherap. Oncol. , vol.29 , Issue.1 , pp. 69-74
    • Roberts, S.A.1    Hendry, J.H.2
  • 33
    • 33947259001 scopus 로고    scopus 로고
    • Inhibin as a diagnostic marker for ovarian cancer
    • Robertson D M, Pruysers E and Jobling T 2007 Inhibin as a diagnostic marker for ovarian cancer Cancer Lett. 249 14-7
    • (2007) Cancer Lett. , vol.249 , Issue.1 , pp. 14-17
    • Robertson, D.M.1    Pruysers, E.2    Jobling, T.3
  • 34
    • 0035953488 scopus 로고    scopus 로고
    • Simple ODE models of tumour growth and anti-angiogenic or radiation treatment
    • Sachs R K, Hlatky L R and Hahnfeldt P 2001 Simple ODE models of tumour growth and anti-angiogenic or radiation treatment Math. Comput. Modeling 33 1297-305
    • (2001) Math. Comput. Modeling , vol.33 , Issue.12-13 , pp. 1297-1305
    • Sachs, R.K.1    Hlatky, L.R.2    Hahnfeldt, P.3
  • 38
    • 1442290947 scopus 로고    scopus 로고
    • A delay differential equation model for tumour growth
    • Villasana M and Radunskaya A 2003 A delay differential equation model for tumour growth J. Math. Biol. 47 270-94
    • (2003) J. Math. Biol. , vol.47 , Issue.3 , pp. 270-294
    • Villasana, M.1    Radunskaya, A.2
  • 39
    • 34248678476 scopus 로고    scopus 로고
    • Biochemical markers in oncology: Part I. Molecular basis. Part II. Clinical uses
    • Voorzanger-Rousselot N and Garnero P 2007 Biochemical markers in oncology: part I. Molecular basis. Part II. Clinical uses Cancer Treatment Rev. 33 230-83
    • (2007) Cancer Treatment Rev. , vol.33 , Issue.3 , pp. 230-283
    • Voorzanger-Rousselot, N.1    Garnero, P.2
  • 42
    • 35448992582 scopus 로고    scopus 로고
    • Adaptive radiotherapy planning on decreasing gross tumour volumes as seen on megavoltage computed tomography images
    • Woodford C, Yartsev S, Dar A R, Bauman G and Van Dyk J 2007 Adaptive radiotherapy planning on decreasing gross tumour volumes as seen on megavoltage computed tomography images Int. J. Radiat. Oncol. Biol. Phys. 69 1316-22
    • (2007) Int. J. Radiat. Oncol. Biol. Phys. , vol.69 , Issue.4 , pp. 1316-1322
    • Woodford, C.1    Yartsev, S.2    Dar, A.R.3    Bauman, G.4    Van Dyk, J.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.