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Volumn 6, Issue 9, 2011, Pages

A quantitative theory of solid tumor growth, metabolic rate and vascularization

Author keywords

[No Author keywords available]

Indexed keywords

APOPTOSIS; ARTICLE; BLOOD VESSEL PARAMETERS; BLOOD VESSEL SIZE; CAPILLARY DENSITY; CELL GROWTH; CELL METABOLISM; CELL VIABILITY; GROWTH RATE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MEDICAL RESEARCH; METABOLIC RATE; MITOSIS; PREDICTION; QUANTITATIVE ANALYSIS; THEORY; TUMOR BLOOD FLOW; TUMOR GROWTH; TUMOR NECROSIS; TUMOR VASCULARIZATION; ALGORITHM; ANIMAL; AUDIOVISUAL EQUIPMENT; BIOLOGICAL MODEL; BLOOD FLOW VELOCITY; CHEMISTRY; HUMAN; METABOLISM; NECROSIS; NEOPLASM; NEOVASCULARIZATION (PATHOLOGY); PATHOLOGY; REPRODUCIBILITY;

EID: 80053310398     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0022973     Document Type: Article
Times cited : (68)

References (58)
  • 1
    • 0030932272 scopus 로고    scopus 로고
    • A general model for the origin of allometric scaling laws in biology
    • West GB, Brown JH, Enquist BJ, (1997) A general model for the origin of allometric scaling laws in biology. Science 276: 122-126.
    • (1997) Science , vol.276 , pp. 122-126
    • West, G.B.1    Brown, J.H.2    Enquist, B.J.3
  • 2
    • 0037133302 scopus 로고    scopus 로고
    • Allometric scaling of metabolic rate from molecules and mitochondria to cells and mammals
    • West GB, Woodruff W, Brown JH, (2002) Allometric scaling of metabolic rate from molecules and mitochondria to cells and mammals. Proc Natl Acad Sci USA 99: 2473-2478.
    • (2002) Proc Natl Acad Sci USA , vol.99 , pp. 2473-2478
    • West, G.B.1    Woodruff, W.2    Brown, J.H.3
  • 3
    • 78651085708 scopus 로고    scopus 로고
    • Hydraulic trade-offs and space filling enable better predictions of vascular structure and function in plants
    • Savage V, Bentley L, Enquist B, Sperry J, Smith D, et al. (2010) Hydraulic trade-offs and space filling enable better predictions of vascular structure and function in plants. Proc Natl Acad Sci USA 107: 22722-22727.
    • (2010) Proc Natl Acad Sci USA , vol.107 , pp. 22722-22727
    • Savage, V.1    Bentley, L.2    Enquist, B.3    Sperry, J.4    Smith, D.5
  • 4
    • 0009578516 scopus 로고    scopus 로고
    • New York, NY, Oxford University Press, chapter 8
    • Zamir M, (2000) Scaling in Biology New York, NY Oxford University Press pp. 129-145 chapter 8.
    • (2000) Scaling in Biology , pp. 129-145
    • Zamir, M.1
  • 5
    • 33748418035 scopus 로고    scopus 로고
    • Pulsatile blood ow in the entire coronary arterial tree: theory and experiment
    • Huo Y, Kassab GS, (2006) Pulsatile blood ow in the entire coronary arterial tree: theory and experiment. Am J Physiol-Heart C 291: H1074-H1087.
    • (2006) Am J Physiol-Heart C , vol.291
    • Huo, Y.1    Kassab, G.S.2
  • 6
    • 33644855146 scopus 로고    scopus 로고
    • Scaling laws of vascular trees: of form and function
    • Kassab GS, (2006) Scaling laws of vascular trees: of form and function. Am J Physiol-Heart C 290: H894-H903.
    • (2006) Am J Physiol-Heart C , vol.290
    • Kassab, G.S.1
  • 9
    • 0030806273 scopus 로고    scopus 로고
    • Conditional switching of vascular endothelial growth factor (VEGF) expression in tumors: Induction of endothelial cell shedding and regression of hemangioblastoma-like vessels by VEGF withdrawal
    • Bozic I, Antal T, Ohtsuki H, Carter H, Kim D, et al. (1997) Conditional switching of vascular endothelial growth factor (VEGF) expression in tumors: Induction of endothelial cell shedding and regression of hemangioblastoma-like vessels by VEGF withdrawal. Proc Natl Acad Sci USA 94: 8761-8766.
    • (1997) Proc Natl Acad Sci USA , vol.94 , pp. 8761-8766
    • Bozic, I.1    Antal, T.2    Ohtsuki, H.3    Carter, H.4    Kim, D.5
  • 10
    • 58349120594 scopus 로고    scopus 로고
    • Multiscale modelling and nonlinear simulation of vascular tumour growth
    • Macklin P, McDougall S, Anderson A, Chaplain M, Cristini V, et al. (2009) Multiscale modelling and nonlinear simulation of vascular tumour growth. J Math Biol 58: 765-798.
    • (2009) J Math Biol , vol.58 , pp. 765-798
    • Macklin, P.1    McDougall, S.2    Anderson, A.3    Chaplain, M.4    Cristini, V.5
  • 11
    • 33750715064 scopus 로고    scopus 로고
    • Modeling the effects of vasculature evolution on early brain tumor growth
    • Gevertz J, Torquato S, (2006) Modeling the effects of vasculature evolution on early brain tumor growth. J Theor Biol 243: 517-31.
    • (2006) J Theor Biol , vol.243 , pp. 517-531
    • Gevertz, J.1    Torquato, S.2
  • 12
  • 14
    • 25144494216 scopus 로고    scopus 로고
    • A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
    • Anderson A, (2005) A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. Math Med Biol 22: 163-186.
    • (2005) Math Med Biol , vol.22 , pp. 163-186
    • Anderson, A.1
  • 15
    • 0035846161 scopus 로고    scopus 로고
    • A general model for ontogenetic growth
    • West GB, Brown JH, Enquist BJ, (2001) A general model for ontogenetic growth. Nature 413: 628-631.
    • (2001) Nature , vol.413 , pp. 628-631
    • West, G.B.1    Brown, J.H.2    Enquist, B.J.3
  • 17
    • 0842265557 scopus 로고    scopus 로고
    • The embedded tumour: host physiology is important for the evaluation of tumour growth
    • van Leeuwen I, Zonneveld C, Kooijiman S, (2003) The embedded tumour: host physiology is important for the evaluation of tumour growth. Br J Cancer 89: 2254-2263.
    • (2003) Br J Cancer , vol.89 , pp. 2254-2263
    • van Leeuwen, I.1    Zonneveld, C.2    Kooijiman, S.3
  • 18
    • 32944454936 scopus 로고    scopus 로고
    • Integrated computational/experimental model of tumor invasion
    • Friebores B, Zheng X, Sun C, Tromberg B, Gatenby R, et al. (2006) Integrated computational/experimental model of tumor invasion. Cancer Res 66: 1597-1604.
    • (2006) Cancer Res , vol.66 , pp. 1597-1604
    • Friebores, B.1    Zheng, X.2    Sun, C.3    Tromberg, B.4    Gatenby, R.5
  • 19
    • 0024311944 scopus 로고
    • Blood ow, metabolism, cellular microenvironment, and growth rate of human tumor xenografts
    • Kallinowsk F, Schlenger K, Runkel S, Kloes M, Stohrer M, et al. (1984) Blood ow, metabolism, cellular microenvironment, and growth rate of human tumor xenografts. Cancer Res 49: 3759-3764.
    • (1984) Cancer Res , vol.49 , pp. 3759-3764
    • Kallinowsk, F.1    Schlenger, K.2    Runkel, S.3    Kloes, M.4    Stohrer, M.5
  • 20
    • 0001313168 scopus 로고
    • Studies on the exchange of uids between host and tumor. ii. the blood flow of hepatomas and other tumors in rats and mice
    • Gullino PM, Grantham FH, (1961) Studies on the exchange of uids between host and tumor. ii. the blood flow of hepatomas and other tumors in rats and mice. J Natl Cancer Inst 27: 1465-1491.
    • (1961) J Natl Cancer Inst , vol.27 , pp. 1465-1491
    • Gullino, P.M.1    Grantham, F.H.2
  • 21
    • 0026089377 scopus 로고
    • Microvascular architecture in a mammary carcinoma: branching patterns and vessel dimensions
    • Less JR, Skalak TC, Sevick EM, Jain RK, (1991) Microvascular architecture in a mammary carcinoma: branching patterns and vessel dimensions. Cancer Res 51: 265-273.
    • (1991) Cancer Res , vol.51 , pp. 265-273
    • Less, J.R.1    Skalak, T.C.2    Sevick, E.M.3    Jain, R.K.4
  • 22
    • 0033213491 scopus 로고    scopus 로고
    • Dynamic contrast-enhanced MRI and fractal characteristics of percolation clusters in two-dimensional tumor blood perfusion
    • Craciunescu OI, Das S, Clegg S, (1999) Dynamic contrast-enhanced MRI and fractal characteristics of percolation clusters in two-dimensional tumor blood perfusion. J Biomech Eng 121: 480-486.
    • (1999) J Biomech Eng , vol.121 , pp. 480-486
    • Craciunescu, O.I.1    Das, S.2    Clegg, S.3
  • 23
    • 0031303218 scopus 로고    scopus 로고
    • Fractal characteristics of tumor vascular architecture during tumor growth and regression
    • Gazit Y, Baish JW, Safabakhsh N, Leunig M, Baxter LT, et al. (1997) Fractal characteristics of tumor vascular architecture during tumor growth and regression. Microcirculation 4: 395-402.
    • (1997) Microcirculation , vol.4 , pp. 395-402
    • Gazit, Y.1    Baish, J.W.2    Safabakhsh, N.3    Leunig, M.4    Baxter, L.T.5
  • 24
    • 0034900897 scopus 로고    scopus 로고
    • Microscopic analysis and significance of vascular architectural complexity in renal cell carcinoma
    • Sabo E, Boltenko A, Sova Y, Stein A, Kleinhaus S, et al. (2001) Microscopic analysis and significance of vascular architectural complexity in renal cell carcinoma. Clin Cancer Res 7: 533-537.
    • (2001) Clin Cancer Res , vol.7 , pp. 533-537
    • Sabo, E.1    Boltenko, A.2    Sova, Y.3    Stein, A.4    Kleinhaus, S.5
  • 26
    • 33646241059 scopus 로고    scopus 로고
    • The dynamic evolution of the power exponent in a universal growth model of tumors
    • Guiot C, Delsanto P, Carpinteri A, Pugno YN, Mansury, Deisboeck T, (2006) The dynamic evolution of the power exponent in a universal growth model of tumors. J Theor Biol 240: 459-463.
    • (2006) J Theor Biol , vol.240 , pp. 459-463
    • Guiot, C.1    Delsanto, P.2    Carpinteri, A.3    Pugno, Y.N.4    Mansury5    Deisboeck, T.6
  • 27
    • 0029898758 scopus 로고    scopus 로고
    • Role of tumor vascular architecture in nutrient and drug delivery: an invasion percolation-based network model
    • Baish J, Gazit Y, Berk D, Nozue M, Baxter L, et al. (1996) Role of tumor vascular architecture in nutrient and drug delivery: an invasion percolation-based network model. Microvasc Res 51: 327-346.
    • (1996) Microvasc Res , vol.51 , pp. 327-346
    • Baish, J.1    Gazit, Y.2    Berk, D.3    Nozue, M.4    Baxter, L.5
  • 28
    • 0014834681 scopus 로고
    • Blood flow in transplanted tumors: quantitative approaches to ra- dioistopic studies
    • Spencer RP, (1969) Blood flow in transplanted tumors: quantitative approaches to ra- dioistopic studies. Yale J Biol Med 43: 22-30.
    • (1969) Yale J Biol Med , vol.43 , pp. 22-30
    • Spencer, R.P.1
  • 29
    • 80053340070 scopus 로고
    • Tissue Blood Flow in Transplantable Tumors of the Mouse and Hamster
    • Ph.D. thesis, University of Minnesota
    • Rogers W, (1967) Tissue Blood Flow in Transplantable Tumors of the Mouse and Hamster. Ph.D. thesis, University of Minnesota.
    • (1967)
    • Rogers, W.1
  • 30
    • 0026604943 scopus 로고
    • Blood flow in six human melanoma xenograft lines with different growth characteristics
    • Lyng H, Skretting A, Rofstad EK, (1992) Blood flow in six human melanoma xenograft lines with different growth characteristics. Cancer Res 52: 584-592.
    • (1992) Cancer Res , vol.52 , pp. 584-592
    • Lyng, H.1    Skretting, A.2    Rofstad, E.K.3
  • 31
    • 0015957546 scopus 로고
    • Morphometric analysis of the microvasculature of tumors during growth and after x-irradiation
    • Hilmas DE, Gillette EL, (1973) Morphometric analysis of the microvasculature of tumors during growth and after x-irradiation. Cancer 33: 103-110.
    • (1973) Cancer , vol.33 , pp. 103-110
    • Hilmas, D.E.1    Gillette, E.L.2
  • 32
    • 0018819123 scopus 로고
    • Species-dependent growth patterns for mammalian neoplasms
    • Steel GG, (1980) Species-dependent growth patterns for mammalian neoplasms. Cell Tissue Kinet 13: 451-453.
    • (1980) Cell Tissue Kinet , vol.13 , pp. 451-453
    • Steel, G.G.1
  • 33
    • 0027308264 scopus 로고
    • Evidence for a narrow range of growth patterns of malignant tumors and embryos of different species
    • Bassukas ID, (1993) Evidence for a narrow range of growth patterns of malignant tumors and embryos of different species. Naturwissenschaften 80: 366-368.
    • (1993) Naturwissenschaften , vol.80 , pp. 366-368
    • Bassukas, I.D.1
  • 34
    • 0034470377 scopus 로고    scopus 로고
    • Mathematical modelling of angiogenesis
    • Chaplain MA, (2000) Mathematical modelling of angiogenesis. J Neurooncol 50: 37-51.
    • (2000) J Neurooncol , vol.50 , pp. 37-51
    • Chaplain, M.A.1
  • 35
    • 33749092517 scopus 로고
    • The vascular space of growing tumors
    • Gullino PM, Grantham FH, (1964) The vascular space of growing tumors. Cancer Res 24: 1727-1732.
    • (1964) Cancer Res , vol.24 , pp. 1727-1732
    • Gullino, P.M.1    Grantham, F.H.2
  • 36
    • 0024411217 scopus 로고
    • Geometric resistance to blood flow in solid tumors perfused ex vivo: Effects of tumor size and perfusion pressure
    • Sevick EM, Jain RK, (1989) Geometric resistance to blood flow in solid tumors perfused ex vivo: Effects of tumor size and perfusion pressure. Cancer Res 49: 3506-3512.
    • (1989) Cancer Res , vol.49 , pp. 3506-3512
    • Sevick, E.M.1    Jain, R.K.2
  • 37
    • 0030806273 scopus 로고    scopus 로고
    • Conditional switching of vascular endothelial growth factor (vegf) expression in tumors: Induction of endothelial cell shedding and regression of hemangioblastoma-like vessels by vegf withdrawal
    • Benjamin L, Keshet E, (1997) Conditional switching of vascular endothelial growth factor (vegf) expression in tumors: Induction of endothelial cell shedding and regression of hemangioblastoma-like vessels by vegf withdrawal. Proc Natl Acad Sci USA 94: 8761-8766.
    • (1997) Proc Natl Acad Sci USA , vol.94 , pp. 8761-8766
    • Benjamin, L.1    Keshet, E.2
  • 38
    • 0034662608 scopus 로고    scopus 로고
    • Absence of functional lymphatics within a murine sarcoma: a molecular and functional evaluation
    • Leu A, Berk D, Lymboussaki A, Alitalo K, Jain R, (2000) Absence of functional lymphatics within a murine sarcoma: a molecular and functional evaluation. Cancer Res 60: 4324-4327.
    • (2000) Cancer Res , vol.60 , pp. 4324-4327
    • Leu, A.1    Berk, D.2    Lymboussaki, A.3    Alitalo, K.4    Jain, R.5
  • 39
    • 0018130202 scopus 로고
    • Characteristic species dependant growth patterns of mammalian neoplasms
    • Brunton T, Wheldon T, (1978) Characteristic species dependant growth patterns of mammalian neoplasms. Cell Tissue Kinet 11: 161-175.
    • (1978) Cell Tissue Kinet , vol.11 , pp. 161-175
    • Brunton, T.1    Wheldon, T.2
  • 42
    • 0022964793 scopus 로고
    • On the normality of growth dynamics of neoplams in vivo: A database analysis
    • Skehan P, (1986) On the normality of growth dynamics of neoplams in vivo: A database analysis. Growth 50: 496-515.
    • (1986) Growth , vol.50 , pp. 496-515
    • Skehan, P.1
  • 43
    • 84859898715 scopus 로고    scopus 로고
    • The mere existence of whales
    • Available:. Accessed 2011
    • Zimmer C, The mere existence of whales. Available: http://blogs.discovermagazine.com/loom/2011/02/28/the-mere-existence-of-whales. Accessed 2011.
    • Zimmer, C.1
  • 44
    • 79957895030 scopus 로고    scopus 로고
    • Evolved tumor suppression: why are we so good at not getting cancer?
    • DeGregori J, (2011) Evolved tumor suppression: why are we so good at not getting cancer? Cancer Res 71: 3739-3744.
    • (2011) Cancer Res , vol.71 , pp. 3739-3744
    • DeGregori, J.1
  • 45
    • 79952579323 scopus 로고    scopus 로고
    • Peto's paradox: evolution's prescription for cancer prevention
    • Caulin A, Maley C, (2011) Peto's paradox: evolution's prescription for cancer prevention. Trends Ecol Evol 26: 175-182.
    • (2011) Trends Ecol Evol , vol.26 , pp. 175-182
    • Caulin, A.1    Maley, C.2
  • 46
    • 79952284127 scopus 로고    scopus 로고
    • Hallmarks of cancer: the next generation
    • Hanahan D, Weinberg R, (2011) Hallmarks of cancer: the next generation. Cell 44: 646-674.
    • (2011) Cell , vol.44 , pp. 646-674
    • Hanahan, D.1    Weinberg, R.2
  • 47
    • 34248364404 scopus 로고    scopus 로고
    • Scaling of number, size, and metabolic rate of cells with body size in mammals
    • Savage V, Allen A, Brown J, Gillooly J, Herman A, et al. (2007) Scaling of number, size, and metabolic rate of cells with body size in mammals. Proc Natl Acad Sci USA 104: 4718-23.
    • (2007) Proc Natl Acad Sci USA , vol.104 , pp. 4718-4723
    • Savage, V.1    Allen, A.2    Brown, J.3    Gillooly, J.4    Herman, A.5
  • 48
    • 11844288987 scopus 로고    scopus 로고
    • The rate of DNA evolution: effects of body size and temperature on the molecular clock
    • Gillooly J, Allen A, West G, Brown J, (2004) The rate of DNA evolution: effects of body size and temperature on the molecular clock. Proc Natl Acad Sci USA 102: 140-145.
    • (2004) Proc Natl Acad Sci USA , vol.102 , pp. 140-145
    • Gillooly, J.1    Allen, A.2    West, G.3    Brown, J.4
  • 49
    • 0004093665 scopus 로고
    • Scaling. Why is animal size so important?
    • Cambridge University Press
    • Schmidt-Nielsen K, (1984) Scaling. Why is animal size so important? Cambridge University Press.
    • (1984)
    • Schmidt-Nielsen, K.1
  • 50
    • 71449125014 scopus 로고    scopus 로고
    • Growing heterogeneous tumors in silico
    • Gevertz J, Torquato S, (2009) Growing heterogeneous tumors in silico. Phys Rev E 80: 051910-051922.
    • (2009) Phys Rev E , vol.80 , pp. 051910-051922
    • Gevertz, J.1    Torquato, S.2
  • 51
    • 0026071076 scopus 로고
    • Characterization of heterogeneous distribution of tumor blood ow in the rat
    • Hori K, Suzuki M, Tanda S, Saito S, (1991) Characterization of heterogeneous distribution of tumor blood ow in the rat. Jpn J Cancer Res 82: 109-111.
    • (1991) Jpn J Cancer Res , vol.82 , pp. 109-111
    • Hori, K.1    Suzuki, M.2    Tanda, S.3    Saito, S.4
  • 52
    • 70350532506 scopus 로고    scopus 로고
    • Tumor growth instability and its implications for chemotherapy
    • Castorina P, Carco D, Guiot C, Deisboeck T, (2009) Tumor growth instability and its implications for chemotherapy. Cancer Res 69: 8507-8515.
    • (2009) Cancer Res , vol.69 , pp. 8507-8515
    • Castorina, P.1    Carco, D.2    Guiot, C.3    Deisboeck, T.4
  • 53
    • 11844254414 scopus 로고    scopus 로고
    • Normalization of tumor vasculature: An emerging concept in antiangiogenic therapy
    • Jain RK, (2005) Normalization of tumor vasculature: An emerging concept in antiangiogenic therapy. Science 307: 58-62.
    • (2005) Science , vol.307 , pp. 58-62
    • Jain, R.K.1
  • 55
    • 0029983156 scopus 로고    scopus 로고
    • Delivery of molecular medicine to solid tumors
    • Jain RK, (1996) Delivery of molecular medicine to solid tumors. Science 271: 1079-1080.
    • (1996) Science , vol.271 , pp. 1079-1080
    • Jain, R.K.1
  • 56
    • 0028885668 scopus 로고
    • Biodistribution of monoclonal antibodies: scale-up from mouse to human using a physiologically based pharmacokinetic model
    • Baxter L, Zhu H, Mackensen D, Butler W, Jain R, (1995) Biodistribution of monoclonal antibodies: scale-up from mouse to human using a physiologically based pharmacokinetic model. Cancer Res 20: 4611-4622.
    • (1995) Cancer Res , vol.20 , pp. 4611-4622
    • Baxter, L.1    Zhu, H.2    Mackensen, D.3    Butler, W.4    Jain, R.5
  • 57
    • 0031090132 scopus 로고    scopus 로고
    • Geometric resistance and microvascular network architecture of human colorectal carcinoma
    • Less JR, Posner MC, Skalak TC, Wolmark N, Jain RK, (1997) Geometric resistance and microvascular network architecture of human colorectal carcinoma. Microcirculation 4: 25-33.
    • (1997) Microcirculation , vol.4 , pp. 25-33
    • Less, J.R.1    Posner, M.C.2    Skalak, T.C.3    Wolmark, N.4    Jain, R.K.5
  • 58
    • 0025200504 scopus 로고
    • Proportion of necrosis in transplanted murine adenocarcinoma and its relationship to tumor growth
    • Baker GM, Goddard HL, Clarke MB, Whimster WF, (1990) Proportion of necrosis in transplanted murine adenocarcinoma and its relationship to tumor growth. Growth, Development and Aging 54: 85-93.
    • (1990) Growth, Development and Aging , vol.54 , pp. 85-93
    • Baker, G.M.1    Goddard, H.L.2    Clarke, M.B.3    Whimster, W.F.4


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