-
1
-
-
0034614637
-
The hallmarks of cancer
-
10.1016/S0092-8674(00)81683-9 10647931
-
D Hanahan R Weinberg 2000 The hallmarks of cancer Cell 100 57 70 10.1016/S0092-8674(00)81683-9 10647931
-
(2000)
Cell
, vol.100
, pp. 57-70
-
-
Hanahan, D.1
Weinberg, R.2
-
2
-
-
36849069347
-
American society of clinical oncology 2007 update of recommendations for the use of tumor markers in breast cancer
-
DOI 10.1200/JCO.2007.14.2364
-
L Harris H Fritsche R Mennel, et al. 2007 American Society of Clinical Oncology 2007 update of recommendations for the use of tumor markers in breast cancer J Clin Oncol 25 5287 5312 10.1200/JCO.2007.14.2364 17954709 (Pubitemid 350232263)
-
(2007)
Journal of Clinical Oncology
, vol.25
, Issue.33
, pp. 5287-5312
-
-
Harris, L.1
Fritsche, H.2
Mennel, R.3
Norton, L.4
Ravdin, P.5
Taube, S.6
Somerfield, M.R.7
Hayes, D.F.8
Bast Jr., R.C.9
-
4
-
-
48349094384
-
Unraveling the microenvironmental influences on the normal mammary gland and breast cancer
-
10.1016/j.semcancer.2008.03.013 18455428
-
B Weigelt MJ Bissel 2008 Unraveling the microenvironmental influences on the normal mammary gland and breast cancer Semin Cancer Biol 18 311 321 10.1016/j.semcancer.2008.03.013 18455428
-
(2008)
Semin Cancer Biol
, vol.18
, pp. 311-321
-
-
Weigelt, B.1
Bissel, M.J.2
-
5
-
-
33746807641
-
Is cancer a disease of self-seeding?
-
DOI 10.1038/nm0806-875, PII NM0806875
-
L Norton J Massagué 2006 Is cancer a disease of self-seeding? Nat Med 12 875 878 10.1038/nm0806-875 16892025 (Pubitemid 44175132)
-
(2006)
Nature Medicine
, vol.12
, Issue.8
, pp. 875-878
-
-
Norton, L.1
Massague, J.2
-
6
-
-
72249093615
-
Tumor self-seeding by circulating cancer cells
-
10.1016/j.cell.2009.11.025 20064377
-
M-Y Kim T Oskarsson S Acharyya, et al. 2009 Tumor self-seeding by circulating cancer cells Cell 139 1315 1326 10.1016/j.cell.2009.11.025 20064377
-
(2009)
Cell
, vol.139
, pp. 1315-1326
-
-
Kim, M.-Y.1
Oskarsson, T.2
Acharyya, S.3
-
7
-
-
48949119487
-
Evaluation of the current knowledge limitations in breast cancer research: A gap analysis
-
10.1186/bcr1983 18371194
-
A Thompson K Brennan A Cox, et al. 2008 Evaluation of the current knowledge limitations in breast cancer research: a gap analysis Breast Cancer Res 10 R26 10.1186/bcr1983 18371194
-
(2008)
Breast Cancer Res
, vol.10
, pp. 26
-
-
Thompson, A.1
Brennan, K.2
Cox, A.3
-
8
-
-
0042242676
-
The glycolytic phenotype in carcinogenesis and tumor invasion: Insights through mathematical models
-
12873971
-
RA Gatenby ET Gawlinski 2003 The glycolytic phenotype in carcinogenesis and tumor invasion: insights through mathematical models Cancer Res 63 3847 3854 12873971
-
(2003)
Cancer Res
, vol.63
, pp. 3847-3854
-
-
Gatenby, R.A.1
Gawlinski, E.T.2
-
9
-
-
75749155742
-
Extrapolating glioma invasion margin in brain magnetic resonance images: Suggesting new irradiation margins
-
10.1016/j.media.2009.11.005 20042359
-
E Konukoglu O Clatz P-Y Bondiau, et al. 2010 Extrapolating glioma invasion margin in brain magnetic resonance images: suggesting new irradiation margins Med Image Anal 14 111 125 10.1016/j.media.2009.11.005 20042359
-
(2010)
Med Image Anal
, vol.14
, pp. 111-125
-
-
Konukoglu, E.1
Clatz, O.2
Bondiau, P.-Y.3
-
10
-
-
53549128935
-
Predicting tumor location by modeling the deformation of the breast
-
10.1109/TBME.2008.925714 18838373
-
P Pathmanathan DJ Gavaghan JP Whiteley, et al. 2008 Predicting tumor location by modeling the deformation of the breast IEEE Trans Biomed Eng 55 2471 2480 10.1109/TBME.2008.925714 18838373
-
(2008)
IEEE Trans Biomed Eng
, vol.55
, pp. 2471-2480
-
-
Pathmanathan, P.1
Gavaghan, D.J.2
Whiteley, J.P.3
-
11
-
-
68149138796
-
Biophysical models of tumour growth
-
10.1088/0034-4885/72/5/056701
-
P Tracqui 2009 Biophysical models of tumour growth Rep Prog Physics 72 056701 10.1088/0034-4885/72/5/056701
-
(2009)
Rep Prog Physics
, vol.72
, pp. 056701
-
-
Tracqui, P.1
-
12
-
-
77649126707
-
Dissecting cancer through mathematics: From the cell to the animal model
-
10.1038/nrc2808 20179714
-
H Byrne 2010 Dissecting cancer through mathematics: from the cell to the animal model Nat Rev Cancer 10 221 230 10.1038/nrc2808 20179714
-
(2010)
Nat Rev Cancer
, vol.10
, pp. 221-230
-
-
Byrne, H.1
-
13
-
-
76149128357
-
Nonlinear modelling of cancer: Bridging the gap between cells and tumours
-
10.1088/0951-7715/23/1/R01 This article provides an overview of multiscale cancer modeling. In particular, hybrid modeling is presented, in which the tumor tissue is modeled using both discrete (cell-scale) and continuum (tumor-scale) elements, thus connecting the micrometer scale to the centimeter scale. A review of state-of-the-art of mathematical models of cancer is presented
-
JS Lowengrub HB Frieboes F Jin, et al. 2010 Nonlinear modelling of cancer: bridging the gap between cells and tumours NonLinearity 23 R1 R91 10.1088/0951-7715/23/1/R01 This article provides an overview of multiscale cancer modeling. In particular, hybrid modeling is presented, in which the tumor tissue is modeled using both discrete (cell-scale) and continuum (tumor-scale) elements, thus connecting the micrometer scale to the centimeter scale. A review of state-of-the-art of mathematical models of cancer is presented
-
(2010)
NonLinearity
, vol.23
-
-
Lowengrub, J.S.1
Frieboes, H.B.2
Jin, F.3
-
14
-
-
33744942376
-
Acid-mediated tumor invasion: A multidisciplinary study
-
DOI 10.1158/0008-5472.CAN-05-4193
-
RA Gatenby ET Gawlinski AF Gmitro, et al. 2006 Acid-mediated tumor invasion: a multidisciplinary study Cancer Res 66 5216 5223 10.1158/0008-5472. CAN-05-4193 16707446 (Pubitemid 43844945)
-
(2006)
Cancer Research
, vol.66
, Issue.10
, pp. 5216-5223
-
-
Gatenby, R.A.1
Gawlinski, E.T.2
Gmitro, A.F.3
Kaylor, B.4
Gillies, R.J.5
-
15
-
-
77952954625
-
Three dimensional multispecies nonlinear tumor growth II: Tumor invasion and angiogenesis
-
Frieboes HB, Jin F, Chuang Y-L, et al.: Three dimensional multispecies nonlinear tumor growth II: tumor invasion and angiogenesis. J Theor Biol 2010, 264:1254-1278.
-
(2010)
J Theor Biol
, vol.264
, pp. 1254-1278
-
-
Frieboes, H.B.1
Jin, F.2
Chuang, Y.-L.3
-
16
-
-
0028790729
-
Growth of nonnecrotic tumors in the presence and absence of inhibitors
-
10.1016/0025-5564(94)00117-3 8527869
-
HM Byrne MA Chaplain 1995 Growth of nonnecrotic tumors in the presence and absence of inhibitors Math Biosci 130 151 181 10.1016/0025-5564(94)00117-3 8527869
-
(1995)
Math Biosci
, vol.130
, pp. 151-181
-
-
Byrne, H.M.1
Chaplain, M.A.2
-
17
-
-
0022799748
-
A simplified mathematical model of tumor growth
-
DOI 10.1016/0025-5564(86)90119-7
-
JA Adam 1986 A simplified mathematical model of tumor growth Math Biosci 81 229 244 10.1016/0025-5564(86)90119-7 (Pubitemid 17172482)
-
(1986)
Mathematical Biosciences
, vol.81
, Issue.2
, pp. 229-244
-
-
Adam, J.A.1
-
18
-
-
13744255578
-
Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method
-
DOI 10.1016/j.bulm.2004.08.001
-
X Zheng SM Wise V Cristini 2005 Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method Bull Math Biol 67 211 259 10.1016/j.bulm.2004.08.001 15710180 (Pubitemid 40234527)
-
(2005)
Bulletin of Mathematical Biology
, vol.67
, Issue.2
, pp. 211-259
-
-
Zheng, X.1
Wise, S.M.2
Cristini, V.3
-
19
-
-
26444591026
-
Morphologic instability and cancer invasion
-
DOI 10.1158/1078-0432.CCR-05-0852
-
V Cristini HB Frieboes R Gatenby, et al. 2005 Morphologic instability and cancer invasion Clin Cancer Res 11 6772 6779 10.1158/1078-0432.CCR-05-0852 16203763 (Pubitemid 41428730)
-
(2005)
Clinical Cancer Research
, vol.11
, Issue.19 I
, pp. 6772-6779
-
-
Cristini, V.1
Frieboes, H.B.2
Gatenby, R.3
Caserta, S.4
Ferrari, M.5
Sinek, J.6
-
20
-
-
37349011512
-
Emergent vascular network inhomogeneities and resulting blood flow patterns in a growing tumor
-
DOI 10.1016/j.jtbi.2007.09.031, PII S0022519307004584
-
M Welter K Bartha H Rieger 2008 Emergent vascular network inhomogeneities and resulting blood flow patterns in a growing tumor J Theor Biol 250 257 280 10.1016/j.jtbi.2007.09.031 17996256 (Pubitemid 350297316)
-
(2008)
Journal of Theoretical Biology
, vol.250
, Issue.2
, pp. 257-280
-
-
Welter, M.1
Bartha, K.2
Rieger, H.3
-
21
-
-
58349108845
-
Predicting drug pharmacokinetics and effect in vascularized tumors using computer simulation
-
10.1007/s00285-008-0214-y 18781304
-
JP Sinek S Sanga X Zheng, et al. 2009 Predicting drug pharmacokinetics and effect in vascularized tumors using computer simulation J Math Biol 58 485 510 10.1007/s00285-008-0214-y 18781304
-
(2009)
J Math Biol
, vol.58
, pp. 485-510
-
-
Sinek, J.P.1
Sanga, S.2
Zheng, X.3
-
22
-
-
66249110346
-
Prediction of drug response in breast cancer using integrative experimental/computational modeling
-
10.1158/0008-5472.CAN-08-3740 19366802
-
H Frieboes ME Edgerton JP Fruehauf, et al. 2009 Prediction of drug response in breast cancer using integrative experimental/computational modeling Cancer Res 69 4484 4492 10.1158/0008-5472.CAN-08-3740 19366802
-
(2009)
Cancer Res
, vol.69
, pp. 4484-4492
-
-
Frieboes, H.1
Edgerton, M.E.2
Fruehauf, J.P.3
-
23
-
-
0033752019
-
A quantitative model for differential motility of gliomas in grey and white matter
-
10.1046/j.1365-2184.2000.00177.x 11063134
-
KR Swanson EC Alvord Jr J Murray 2000 A quantitative model for differential motility of gliomas in grey and white matter Cell Prolif 33 317 329 10.1046/j.1365-2184.2000.00177.x 11063134
-
(2000)
Cell Prolif
, vol.33
, pp. 317-329
-
-
Swanson, K.R.1
Alvord Jr., E.C.2
Murray, J.3
-
24
-
-
66249097780
-
Quantitative metrics of net proliferation and invasion link biological aggressiveness assessed by MRI with hypoxia assessed by FMISO-PET in newly diagnosed glioblastomas
-
10.1158/0008-5472.CAN-08-3884 19366800
-
MD Szeto G Chakraborty J Hadley, et al. 2009 Quantitative metrics of net proliferation and invasion link biological aggressiveness assessed by MRI with hypoxia assessed by FMISO-PET in newly diagnosed glioblastomas Cancer Res 69 4502 4509 10.1158/0008-5472.CAN-08-3884 19366800
-
(2009)
Cancer Res
, vol.69
, pp. 4502-4509
-
-
Szeto, M.D.1
Chakraborty, G.2
Hadley, J.3
-
26
-
-
0017167185
-
The clonal evolution of tumor cell populations
-
10.1126/science.959840 959840
-
PC Nowell 1976 The clonal evolution of tumor cell populations Science 194 23 28 10.1126/science.959840 959840
-
(1976)
Science
, vol.194
, pp. 23-28
-
-
Nowell, P.C.1
-
27
-
-
84858202435
-
"Go or grow": The key to the emergence of invasion in tumor progression?
-
published online, doi: 10.1093/imammb/dqq011
-
Hatzikirou H, Basanta D, Simon M, et al.: "Go or grow": the key to the emergence of invasion in tumor progression? Math Med Biol 2010, published online, doi: 10.1093/imammb/dqq011.
-
(2010)
Math Med Biol
-
-
Hatzikirou, H.1
Basanta, D.2
Simon, M.3
-
28
-
-
33751217466
-
Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment
-
DOI 10.1016/j.cell.2006.09.042, PII S0092867406013481
-
AR Anderson AM Weaver PT Cummings, et al. 2006 Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment Cell 127 905 915 10.1016/j.cell.2006.09.042 17129778 (Pubitemid 44792251)
-
(2006)
Cell
, vol.127
, Issue.5
, pp. 905-915
-
-
Anderson, A.R.A.1
Weaver, A.M.2
Cummings, P.T.3
Quaranta, V.4
-
29
-
-
37549013776
-
A microenvironmental model of carcinogenesis
-
10.1038/nrc2255 18059462 This article provides a mathematical model in which the diverse cancer genotypes and phenotypes can be understood according to their roles as adaptive strategies to overcome specific microenvironmental growth constraints
-
RA Gatenby RJ Gillies 2008 A microenvironmental model of carcinogenesis Nat Rev Cancer 8 56 61 10.1038/nrc2255 18059462 This article provides a mathematical model in which the diverse cancer genotypes and phenotypes can be understood according to their roles as adaptive strategies to overcome specific microenvironmental growth constraints
-
(2008)
Nat Rev Cancer
, vol.8
, pp. 56-61
-
-
Gatenby, R.A.1
Gillies, R.J.2
-
30
-
-
0242322492
-
The universal dynamics of tumor growth
-
10.1016/S0006-3495(03)74715-8 14581197
-
A Bru S Albertos J Luis Subiza, et al. 2003 The universal dynamics of tumor growth Biophys J 85 2948 2961 10.1016/S0006-3495(03)74715-8 14581197
-
(2003)
Biophys J
, vol.85
, pp. 2948-2961
-
-
Bru, A.1
Albertos, S.2
Luis Subiza, J.3
-
31
-
-
0642378039
-
Nonlinear simulation of tumor growth
-
DOI 10.1007/s00285-002-0174-6
-
V Cristini J Lowengrub Q Nie 2003 Nonlinear simulation of tumor growth J Math Biol 46 191 224 10.1007/s00285-002-0174-6 12728333 (Pubitemid 38355715)
-
(2003)
Journal of Mathematical Biology
, vol.46
, Issue.3
, pp. 191-224
-
-
Cristini, V.1
Lowengrub, J.2
Nie, Q.3
-
32
-
-
66249101668
-
Multiparameter computational modeling of tumor invasion
-
10.1158/0008-5472.CAN-08-3834 19366801
-
EL Bearer JS Lowengrub HB Frieboes, et al. 2009 Multiparameter computational modeling of tumor invasion Cancer Res 69 4493 4501 10.1158/0008-5472.CAN-08-3834 19366801
-
(2009)
Cancer Res
, vol.69
, pp. 4493-4501
-
-
Bearer, E.L.1
Lowengrub, J.S.2
Frieboes, H.B.3
-
34
-
-
72249083494
-
Paradoxical dependencies of tumor dormancy and progression on basic cell kinetics
-
10.1158/0008-5472.CAN-09-2115 19887613
-
H Enderling AR Anderson MA Chaplain, et al. 2009 Paradoxical dependencies of tumor dormancy and progression on basic cell kinetics Cancer Res 69 8814 8821 10.1158/0008-5472.CAN-09-2115 19887613
-
(2009)
Cancer Res
, vol.69
, pp. 8814-8821
-
-
Enderling, H.1
Anderson, A.R.2
Chaplain, M.A.3
-
35
-
-
62849098260
-
From single cells to tissue architecture - A bottom-up approach to modelling the spatio-temporal organisation of complex multi-cellular systems
-
10.1007/s00285-008-0172-4 18386011
-
J Galle M Hoffmann G Aust 2009 From single cells to tissue architecture - a bottom-up approach to modelling the spatio-temporal organisation of complex multi-cellular systems J Math Biol 58 261 283 10.1007/s00285-008-0172-4 18386011
-
(2009)
J Math Biol
, vol.58
, pp. 261-283
-
-
Galle, J.1
Hoffmann, M.2
Aust, G.3
-
36
-
-
75149132546
-
Cancer stem cell tumor model reveals invasive morphology and increased phenotypical heterogeneity
-
10.1158/0008-5472.CAN-09-3663 20048071
-
A Sottoriva JJC Verhoeff T Borovski, et al. 2010 Cancer stem cell tumor model reveals invasive morphology and increased phenotypical heterogeneity Cancer Res 70 46 56 10.1158/0008-5472.CAN-09-3663 20048071
-
(2010)
Cancer Res
, vol.70
, pp. 46-56
-
-
Sottoriva, A.1
Verhoeff, J.J.C.2
Borovski, T.3
-
37
-
-
35348824187
-
A hybrid model for tumor spheroid growth in vitro i: Theoretical development and early results
-
10.1142/S0218202507002479
-
Y Kim MA Stolarska HG Othmer 2007 A hybrid model for tumor spheroid growth in vitro i: theoretical development and early results Math Mod Meth App Sci 17 1773 1798 10.1142/S0218202507002479
-
(2007)
Math Mod Meth App Sci
, vol.17
, pp. 1773-1798
-
-
Kim, Y.1
Stolarska, M.A.2
Othmer, H.G.3
-
38
-
-
46749151795
-
Modeling the influence of the E-cadherin-beta-catenin pathway in cancer cell invasion: A multiscale approach
-
10.1529/biophysj.107.114678 18339758
-
I Ramis-Conde D Drasdo AR Anderson, et al. 2008 Modeling the influence of the E-cadherin-beta-catenin pathway in cancer cell invasion: a multiscale approach Biophys J 95 155 165 10.1529/biophysj.107.114678 18339758
-
(2008)
Biophys J
, vol.95
, pp. 155-165
-
-
Ramis-Conde, I.1
Drasdo, D.2
Anderson, A.R.3
-
39
-
-
77649337154
-
A 2D mechanistic model of breast ductal carcinoma in situ (DCIS) morphology and progression
-
10.1016/j.jtbi.2009.11.024 20006623
-
KA Norton M Wininger G Bhanot, et al. 2010 A 2D mechanistic model of breast ductal carcinoma in situ (DCIS) morphology and progression J Theor Biol 263 393 406 10.1016/j.jtbi.2009.11.024 20006623
-
(2010)
J Theor Biol
, vol.263
, pp. 393-406
-
-
Norton, K.A.1
Wininger, M.2
Bhanot, G.3
-
41
-
-
58349095136
-
Multiphase modelling of tumour growth and extracellular matrix interaction: Mathematical tools and applications
-
10.1007/s00285-008-0218-7 18853162
-
L Preziosi A Tosin 2009 Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications J Math Biol 58 625 656 10.1007/s00285-008-0218-7 18853162
-
(2009)
J Math Biol
, vol.58
, pp. 625-656
-
-
Preziosi, L.1
Tosin, A.2
-
42
-
-
85055370511
-
-
Multiscale Cancer Modeling. Edited by Deisboeck TS, Stamatakos GS. Boca Raton, FL: Chapman & Hall/CRC; 2010
-
Multiscale Cancer Modeling. Edited by Deisboeck TS, Stamatakos GS. Boca Raton, FL: Chapman & Hall/CRC; 2010.
-
-
-
-
43
-
-
67449101766
-
Equation-free multiscale computation: Algorithms and applications
-
10.1146/annurev.physchem.59.032607.093610 19335220 This article introduces a multiscale framework, derived in the context of physical sciences, that enables numerical simulations of mathematical models (applicable to cancer modeling) over extended spatio-temporal scales
-
IG Kevrekidis G Samaey 2009 Equation-free multiscale computation: algorithms and applications Annu Rev Phys Chem 60 321 344 10.1146/annurev. physchem.59.032607.093610 19335220 This article introduces a multiscale framework, derived in the context of physical sciences, that enables numerical simulations of mathematical models (applicable to cancer modeling) over extended spatio-temporal scales
-
(2009)
Annu Rev Phys Chem
, vol.60
, pp. 321-344
-
-
Kevrekidis, I.G.1
Samaey, G.2
-
45
-
-
34547807824
-
Computer simulation of glioma growth and morphology
-
DOI 10.1016/j.neuroimage.2007.03.008, PII S1053811907001784
-
HB Frieboes JS Lowengrub S Wise, et al. 2007 Computer simulation of glioma growth and morphology Neuroimage 37 S59 S70 10.1016/j.neuroimage.2007.03. 008 17475515 (Pubitemid 47239426)
-
(2007)
NeuroImage
, vol.37
, Issue.SUPPL. 1
-
-
Frieboes, H.B.1
Lowengrub, J.S.2
Wise, S.3
Zheng, X.4
Macklin, P.5
Bearer, E.L.6
Cristini, V.7
|