-
1
-
-
0003880161
-
-
Garland Science, New York
-
Alberts B., Johnson A., Lewis J., Raff M., Roberts K., Walter P. Molecular Biology of the Cell 2002, Garland Science, New York. fourth edition.
-
(2002)
Molecular Biology of the Cell
-
-
Alberts, B.1
Johnson, A.2
Lewis, J.3
Raff, M.4
Roberts, K.5
Walter, P.6
-
2
-
-
33947601258
-
The use of hybrid cellular automaton models for improving cancer therapy
-
Springer, Berlin, B. Chopard, P.M.A. Sloot, A.G. Hoekstra (Eds.) Cellular Automata
-
Ribba B., Alarcón T., Marron K., Maini P.K., Agur Z. The use of hybrid cellular automaton models for improving cancer therapy. Lecture Notes in Computer Science 2004, 444-453. Springer, Berlin. B. Chopard, P.M.A. Sloot, A.G. Hoekstra (Eds.).
-
(2004)
Lecture Notes in Computer Science
, pp. 444-453
-
-
Ribba, B.1
Alarcón, T.2
Marron, K.3
Maini, P.K.4
Agur, Z.5
-
3
-
-
21244468953
-
Mathematical modeling fo cancer: the future of prognosis and treatment
-
Quaranta V., Weaver A.M., Cummings P.T., Anderson A.R.A. Mathematical modeling fo cancer: the future of prognosis and treatment. Clini. Chim. Acta 2005, 357:173-179.
-
(2005)
Clini. Chim. Acta
, vol.357
, pp. 173-179
-
-
Quaranta, V.1
Weaver, A.M.2
Cummings, P.T.3
Anderson, A.R.A.4
-
4
-
-
27644518361
-
Mathematical modeling of glioblastoma tumour development: a review
-
Hatzikirou H., Deutsch A., Schaller C., Simon M., Swanson K. Mathematical modeling of glioblastoma tumour development: a review. Math. Models Methods Appl. Sci. 2005, 15:1779-1794.
-
(2005)
Math. Models Methods Appl. Sci.
, vol.15
, pp. 1779-1794
-
-
Hatzikirou, H.1
Deutsch, A.2
Schaller, C.3
Simon, M.4
Swanson, K.5
-
5
-
-
33750048354
-
The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity
-
Nagy J.D. The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity. Math. Biosci. Eng. 2005, 2:381-418.
-
(2005)
Math. Biosci. Eng.
, vol.2
, pp. 381-418
-
-
Nagy, J.D.1
-
6
-
-
33646517762
-
Modeling aspects of cancer dynamics: a review
-
Byrne H.M., Alarcón T., Owen M.R., Webb S.W., Maini P.K. Modeling aspects of cancer dynamics: a review. Philos. Trans. R. Soc A 2006, 364:1563-1578.
-
(2006)
Philos. Trans. R. Soc A
, vol.364
, pp. 1563-1578
-
-
Byrne, H.M.1
Alarcón, T.2
Owen, M.R.3
Webb, S.W.4
Maini, P.K.5
-
7
-
-
84900045268
-
Mathematical modelling of tumour growth and treatment
-
Springer, Milan, Complex Systems in Biomedicine
-
Fasano A., Bertuzzi A., Gandolfi A. Mathematical modelling of tumour growth and treatment. Biomedical and Life Science 2006, 71-108. Springer, Milan.
-
(2006)
Biomedical and Life Science
, pp. 71-108
-
-
Fasano, A.1
Bertuzzi, A.2
Gandolfi, A.3
-
8
-
-
34247366464
-
Towards a multiscale model of colorectal cancer
-
van Leeuwen I.M.M., Edwards C.M., Ilyas M., Byrne H.M. Towards a multiscale model of colorectal cancer. World J. Gastroenterol. 2007, 13:1399-1407.
-
(2007)
World J. Gastroenterol.
, vol.13
, pp. 1399-1407
-
-
van Leeuwen, I.M.M.1
Edwards, C.M.2
Ilyas, M.3
Byrne, H.M.4
-
9
-
-
34249980052
-
Mathematical models of avascular tumor growth
-
Roose T., Chapman S.J., Maini P.K. Mathematical models of avascular tumor growth. SIAM Rev. 2007, 49:179-208.
-
(2007)
SIAM Rev.
, vol.49
, pp. 179-208
-
-
Roose, T.1
Chapman, S.J.2
Maini, P.K.3
-
10
-
-
84987868442
-
Mechanics in tumor growth
-
Birkhäuser, Boston, F. Mollica, L. Preziosi, K.R. Rajagopal (Eds.) Modeling of Biological Materials
-
Graziano L., Preziosi L. Mechanics in tumor growth. Modeling and Simulation in Science, Engineering and Technology 2007, 263-321. Birkhäuser, Boston. F. Mollica, L. Preziosi, K.R. Rajagopal (Eds.).
-
(2007)
Modeling and Simulation in Science, Engineering and Technology
, pp. 263-321
-
-
Graziano, L.1
Preziosi, L.2
-
11
-
-
33846071934
-
The evolution of mathematical modeling of glioma proliferation and invasion
-
Harpold H.L., Alvord E.C., Swanson K.R. The evolution of mathematical modeling of glioma proliferation and invasion. J. Neuropathol. Exp. Neurol. 2007, 66:1-9.
-
(2007)
J. Neuropathol. Exp. Neurol.
, vol.66
, pp. 1-9
-
-
Harpold, H.L.1
Alvord, E.C.2
Swanson, K.R.3
-
12
-
-
34249873259
-
On the role of physics in the growth and pattern formation of multicellular systems: what we learn from individual-cell based models?
-
Drasdo D., Höhme S. On the role of physics in the growth and pattern formation of multicellular systems: what we learn from individual-cell based models?. J. Stat. Phys. 2007, 128:287-345.
-
(2007)
J. Stat. Phys.
, vol.128
, pp. 287-345
-
-
Drasdo, D.1
Höhme, S.2
-
13
-
-
35348819870
-
Mathematical analysis and challenges arising from models of tumor growth
-
Friedman A., Bellomo N., Maini P.K. Mathematical analysis and challenges arising from models of tumor growth. Math. Models Methods Appl. Sci. 2007, 17:1751-1772.
-
(2007)
Math. Models Methods Appl. Sci.
, vol.17
, pp. 1751-1772
-
-
Friedman, A.1
Bellomo, N.2
Maini, P.K.3
-
14
-
-
34547771792
-
Predictive oncology: a review of multidisciplinary, multiscale in silico modeling linking phenotype, morphology and growth
-
Sanga S., Frieboes H.B., Zheng X., Gatenby R., Bearer E.L., Cristini V. Predictive oncology: a review of multidisciplinary, multiscale in silico modeling linking phenotype, morphology and growth. NeuroImage 2007, 37:S120-S134.
-
(2007)
NeuroImage
, vol.37
-
-
Sanga, S.1
Frieboes, H.B.2
Zheng, X.3
Gatenby, R.4
Bearer, E.L.5
Cristini, V.6
-
15
-
-
73949146216
-
In silico cancer modeling: is it ready for prime time?
-
Deisboeck T.S., Zhang L., Yoon J., Costa J. In silico cancer modeling: is it ready for prime time?. Nat. Clin. Pract. Oncol. 2009, 6:34-42.
-
(2009)
Nat. Clin. Pract. Oncol.
, vol.6
, pp. 34-42
-
-
Deisboeck, T.S.1
Zhang, L.2
Yoon, J.3
Costa, J.4
-
17
-
-
44349107599
-
On the foundations of cancer modeling: selected topics, speculations, and perspectives
-
Bellomo N., Li N.K., Maini P.K. On the foundations of cancer modeling: selected topics, speculations, and perspectives. Math. Models Methods Appl. Sci. 2008, 4:593-646.
-
(2008)
Math. Models Methods Appl. Sci.
, vol.4
, pp. 593-646
-
-
Bellomo, N.1
Li, N.K.2
Maini, P.K.3
-
18
-
-
84994424260
-
Nonlinear modeling and simulation of tumor growth
-
Birkhäuser, Boston, N. Bellomo, M. Chaplain, E. de Angelis (Eds.) Selected Topics in Cancer Modeling: Genesis, Evolution, Immune Competition, and Therapy
-
Cristini V., Frieboes H.B., Li X., Lowengrub J.S., Macklin P., Sanga S., Wise S.M., Zheng X. Nonlinear modeling and simulation of tumor growth. Modeling and Simulation in Science, Engineering and Technology 2008, Birkhäuser, Boston. N. Bellomo, M. Chaplain, E. de Angelis (Eds.).
-
(2008)
Modeling and Simulation in Science, Engineering and Technology
-
-
Cristini, V.1
Frieboes, H.B.2
Li, X.3
Lowengrub, J.S.4
Macklin, P.5
Sanga, S.6
Wise, S.M.7
Zheng, X.8
-
19
-
-
76149128357
-
Nonlinear modeling of cancer: bridging the gap between cells and tumors
-
Lowengrub J.S., Frieboes H.B., Jin F., Chuang Y.-L., Li X., Macklin P., Wise S.M., Cristini V. Nonlinear modeling of cancer: bridging the gap between cells and tumors. Nonlinearity 2010, 23:R1-R91.
-
(2010)
Nonlinearity
, vol.23
-
-
Lowengrub, J.S.1
Frieboes, H.B.2
Jin, F.3
Chuang, Y.-L.4
Li, X.5
Macklin, P.6
Wise, S.M.7
Cristini, V.8
-
20
-
-
33751217466
-
Tumor morphology and phenotypic evolution driven by selective presure from the microenvironment
-
Anderson A.R.A., Weaver A.M., Commmings P.T., Quaranta V. Tumor morphology and phenotypic evolution driven by selective presure from the microenvironment. Cell 2006, 127:905-915.
-
(2006)
Cell
, vol.127
, pp. 905-915
-
-
Anderson, A.R.A.1
Weaver, A.M.2
Commmings, P.T.3
Quaranta, V.4
-
21
-
-
66249101668
-
Multiparameter computational modeling of tumor invasion
-
Bearer E.L., Lowengrub J.S., Chuang Y.L., Frieboes H.B., Jin F., Wise S.M., Ferrari M., Agus D.B., Cristini V. Multiparameter computational modeling of tumor invasion. Cancer Res. 2009, 69:4493-4501.
-
(2009)
Cancer Res.
, vol.69
, pp. 4493-4501
-
-
Bearer, E.L.1
Lowengrub, J.S.2
Chuang, Y.L.3
Frieboes, H.B.4
Jin, F.5
Wise, S.M.6
Ferrari, M.7
Agus, D.B.8
Cristini, V.9
-
22
-
-
26444591026
-
Morphologic instability and cancer invasion
-
Cristini V., Frieboes H.B., Gatenby R., Caserta S., Ferrari M., Sinek J. Morphologic instability and cancer invasion. Clin. Cancer Res. 2005, 11:6772-6779.
-
(2005)
Clin. Cancer Res.
, vol.11
, pp. 6772-6779
-
-
Cristini, V.1
Frieboes, H.B.2
Gatenby, R.3
Caserta, S.4
Ferrari, M.5
Sinek, J.6
-
24
-
-
34547807824
-
Computer simulation of glioma growth and morphology
-
Frieboes H.B., Lowengrub J.S., Wise S.M., Zheng X., Macklin P., Bearer E.L., Cristini V. Computer simulation of glioma growth and morphology. NeuroImage 2007, 37:S59-S70.
-
(2007)
NeuroImage
, vol.37
-
-
Frieboes, H.B.1
Lowengrub, J.S.2
Wise, S.M.3
Zheng, X.4
Macklin, P.5
Bearer, E.L.6
Cristini, V.7
-
25
-
-
34548317034
-
Cellular adaptations to hypoxia and acidosis during somatic evolution of breast cancer
-
Gatenby R.A., Smallbone K., Maini P.K., Rose F., Averill J., Nagle R.B., Worrall L., Gillies R.J. Cellular adaptations to hypoxia and acidosis during somatic evolution of breast cancer. Br. J. Cancer 2007, 97:646-653.
-
(2007)
Br. J. Cancer
, vol.97
, pp. 646-653
-
-
Gatenby, R.A.1
Smallbone, K.2
Maini, P.K.3
Rose, F.4
Averill, J.5
Nagle, R.B.6
Worrall, L.7
Gillies, R.J.8
-
26
-
-
33846430932
-
An improved geometry-aware curvature discretization for level set methods: application to tumor growth
-
Macklin P., Lowengrub J.S. An improved geometry-aware curvature discretization for level set methods: application to tumor growth. J. Comput. Phys. 2006, 215:392-401.
-
(2006)
J. Comput. Phys.
, vol.215
, pp. 392-401
-
-
Macklin, P.1
Lowengrub, J.S.2
-
27
-
-
46849083504
-
Three-dimensional multispecies nonlinear tumor growth-I: model and numerical method
-
Wise S.M., Lowengrub J.S., Frieboes H.B., Cristini V. Three-dimensional multispecies nonlinear tumor growth-I: model and numerical method. J. Theoret. Biol. 2008, 253:524-543.
-
(2008)
J. Theoret. Biol.
, vol.253
, pp. 524-543
-
-
Wise, S.M.1
Lowengrub, J.S.2
Frieboes, H.B.3
Cristini, V.4
-
28
-
-
77952954625
-
Three-dimensional multispecies nonlinear tumor growth-II: tissue invasion and angiogenesis
-
Frieboes H.B., Jin F., Chuang Y.L., Wise S.M., Lowengrub J.S., Cristini V. Three-dimensional multispecies nonlinear tumor growth-II: tissue invasion and angiogenesis. J. Theoret. Biol. 2010, 264:1254-1278.
-
(2010)
J. Theoret. Biol.
, vol.264
, pp. 1254-1278
-
-
Frieboes, H.B.1
Jin, F.2
Chuang, Y.L.3
Wise, S.M.4
Lowengrub, J.S.5
Cristini, V.6
-
29
-
-
33746012315
-
Free energy of a nonuniform system. I. Interfacial free energy
-
Cahn J.W., Hilliard J.E. Free energy of a nonuniform system. I. Interfacial free energy. J. Chem. Phys. 1958, 28:258.
-
(1958)
J. Chem. Phys.
, vol.28
, pp. 258
-
-
Cahn, J.W.1
Hilliard, J.E.2
-
30
-
-
44649167242
-
Generalized Cahn-Hilliard equation for biological applications
-
Khain E., Sander L.M. Generalized Cahn-Hilliard equation for biological applications. Phys. Rev. E 2008, 77:051129.
-
(2008)
Phys. Rev. E
, vol.77
, pp. 051129
-
-
Khain, E.1
Sander, L.M.2
-
32
-
-
38649104788
-
Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
-
Gerisch A., Chaplain M.A. Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion. J. Theoret. Biol. 2008, 250:684-704.
-
(2008)
J. Theoret. Biol.
, vol.250
, pp. 684-704
-
-
Gerisch, A.1
Chaplain, M.A.2
-
33
-
-
0035998604
-
On the closure of mass balance models for tumor growth
-
Ambrosi D., Preziosi L. On the closure of mass balance models for tumor growth. Math. Models Methods Appl. Sci. 2002, 12:737-754.
-
(2002)
Math. Models Methods Appl. Sci.
, vol.12
, pp. 737-754
-
-
Ambrosi, D.1
Preziosi, L.2
-
34
-
-
67349121558
-
Cell adhesion mechanisms and stress relaxation in the mechanics of tumours
-
Ambrosi D., Preziosi L. Cell adhesion mechanisms and stress relaxation in the mechanics of tumours. Biomech. Model. Mechanobiol. 2009, 8:397-413.
-
(2009)
Biomech. Model. Mechanobiol.
, vol.8
, pp. 397-413
-
-
Ambrosi, D.1
Preziosi, L.2
-
35
-
-
25144517326
-
A mixture theory for the genesis of residual stresses in growing tissues I: a general formulation
-
Araujo R.P., McElwain D.L.S. A mixture theory for the genesis of residual stresses in growing tissues I: a general formulation. SIAM J. Appl. Math. 2005, 65:1261-1284.
-
(2005)
SIAM J. Appl. Math.
, vol.65
, pp. 1261-1284
-
-
Araujo, R.P.1
McElwain, D.L.S.2
-
36
-
-
0036692144
-
The role of cell-cell interactions in a two-phase model for avascular tumour growth
-
Breward C.J.W., Byrne H.M., Lewis C.E. The role of cell-cell interactions in a two-phase model for avascular tumour growth. J. Math. Biol. 2002, 45:125-152.
-
(2002)
J. Math. Biol.
, vol.45
, pp. 125-152
-
-
Breward, C.J.W.1
Byrne, H.M.2
Lewis, C.E.3
-
38
-
-
84867924351
-
A two-phase model of solid tumour growth
-
Byrne H.M., King J.R., McElwain D.L.S, Preziosi L. A two-phase model of solid tumour growth. Appl. Math. Lett. 2003, 16:567-573.
-
(2003)
Appl. Math. Lett.
, vol.16
, pp. 567-573
-
-
Byrne, H.M.1
King, J.R.2
McElwain, D.L.S.3
Preziosi, L.4
-
39
-
-
0842281982
-
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. 2003, 20:341-366.
-
(2003)
Math. Med. Biol.
, vol.20
, pp. 341-366
-
-
Byrne, H.M.1
Preziosi, L.2
-
40
-
-
33750099897
-
Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumor development
-
Chaplain M.A.J., Graziano L., Preziosi L. Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumor development. Math. Med. Biol. 2006, 23:192-229.
-
(2006)
Math. Med. Biol.
, vol.23
, pp. 192-229
-
-
Chaplain, M.A.J.1
Graziano, L.2
Preziosi, L.3
-
41
-
-
58349095140
-
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
-
Cristini V., Li X., Lowengrub J.S., Wise S.M. Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. J. Math. Biol. 2009, 58:723-763.
-
(2009)
J. Math. Biol.
, vol.58
, pp. 723-763
-
-
Cristini, V.1
Li, X.2
Lowengrub, J.S.3
Wise, S.M.4
-
42
-
-
0346031985
-
Modelling the early growth of ductal carcinoma in situ of the breast
-
Franks S.J., Byrne H.M., King J.R., Underwood J.C.E., Lewis C.E. Modelling the early growth of ductal carcinoma in situ of the breast. J. Math. Biol. 2003, 47:424-452.
-
(2003)
J. Math. Biol.
, vol.47
, pp. 424-452
-
-
Franks, S.J.1
Byrne, H.M.2
King, J.R.3
Underwood, J.C.E.4
Lewis, C.E.5
-
43
-
-
0347504530
-
Mathematical modelling of comedo ductal carcinoma in situ of the breast
-
Franks S.J., Byrne H.M., Mudhar H.S., Underwood J.C.E., Lewis C.E. Mathematical modelling of comedo ductal carcinoma in situ of the breast. Math. Med. Biol. 2003, 20:277-308.
-
(2003)
Math. Med. Biol.
, vol.20
, pp. 277-308
-
-
Franks, S.J.1
Byrne, H.M.2
Mudhar, H.S.3
Underwood, J.C.E.4
Lewis, C.E.5
-
44
-
-
0042562209
-
Interactions between a uniformly proliferating tumor and its surrounding. uniform material properties
-
Franks S.J., King J.R. Interactions between a uniformly proliferating tumor and its surrounding. uniform material properties. Math. Med. Biol. 2003, 20:47-89.
-
(2003)
Math. Med. Biol.
, vol.20
, pp. 47-89
-
-
Franks, S.J.1
King, J.R.2
-
45
-
-
56649090976
-
Multiphase modeling and qualitative analysis of the growth of tumor cords
-
Tosin A. Multiphase modeling and qualitative analysis of the growth of tumor cords. Netw. Heterog. Media 2008, 3:43-84.
-
(2008)
Netw. Heterog. Media
, vol.3
, pp. 43-84
-
-
Tosin, A.1
-
46
-
-
0028790729
-
Growth of nonnecrotic tumors in the presence and absence of inhibitors
-
Byrne H.M., Chaplain M.A.J. Growth of nonnecrotic tumors in the presence and absence of inhibitors. Math. Biosci. 1995, 130:151-181.
-
(1995)
Math. Biosci.
, vol.130
, pp. 151-181
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
47
-
-
0030586186
-
Growth of necrotic tumors in the presence and absence of inhibitors
-
Byrne H.M., Chaplain M.A.J. Growth of necrotic tumors in the presence and absence of inhibitors. Math. Biosci. 1996, 135:187-216.
-
(1996)
Math. Biosci.
, vol.135
, pp. 187-216
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
48
-
-
0002964937
-
Avascular growth, angiogenesis and vascular growth in solid tumours: the mathematical modelling of the stages of tumour development
-
Chaplain M.A.J. Avascular growth, angiogenesis and vascular growth in solid tumours: the mathematical modelling of the stages of tumour development. Math. Comput. Model. 1996, 23:47-87.
-
(1996)
Math. Comput. Model.
, vol.23
, pp. 47-87
-
-
Chaplain, M.A.J.1
-
49
-
-
0033094895
-
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. 1999, 38:262-284.
-
(1999)
J. Math. Biol.
, vol.38
, pp. 262-284
-
-
Friedman, A.1
Reitich, F.2
-
50
-
-
0017198676
-
On the growth and stability of cell cultures and solid tumors
-
Greenspan H.P. On the growth and stability of cell cultures and solid tumors. J. Theoret. Biol. 1976, 56:229-242.
-
(1976)
J. Theoret. Biol.
, vol.56
, pp. 229-242
-
-
Greenspan, H.P.1
-
51
-
-
33745478676
-
Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method
-
Hogea C.S., Murray B.T., Sethian J.A. Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method. J. Math. Biol. 2006, 53:86-134.
-
(2006)
J. Math. Biol.
, vol.53
, pp. 86-134
-
-
Hogea, C.S.1
Murray, B.T.2
Sethian, J.A.3
-
52
-
-
49749145984
-
A new ghost cell/level set method for moving boundary problems: application to tumor growth
-
Macklin P., Lowengrub J.S. A new ghost cell/level set method for moving boundary problems: application to tumor growth. J. Sci. Comput. 2008, 35:266-299.
-
(2008)
J. Sci. Comput.
, vol.35
, pp. 266-299
-
-
Macklin, P.1
Lowengrub, J.S.2
-
53
-
-
58349120594
-
Multiscale modelling and simulation of vascular tumour growth
-
Macklin P., McDougall S., Anderson A.R.A., Chaplain M.A.J., Cristini V., Lowengrub J. Multiscale modelling and simulation of vascular tumour growth. J. Math. Biol. 2008, 58:765-798.
-
(2008)
J. Math. Biol.
, vol.58
, pp. 765-798
-
-
Macklin, P.1
McDougall, S.2
Anderson, A.R.A.3
Chaplain, M.A.J.4
Cristini, V.5
Lowengrub, J.6
-
54
-
-
13744255578
-
Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method
-
Zheng X., Wise S.M., Cristini V. Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method. Bull. Math. Biol. 2005, 67:211-259.
-
(2005)
Bull. Math. Biol.
, vol.67
, pp. 211-259
-
-
Zheng, X.1
Wise, S.M.2
Cristini, V.3
-
56
-
-
0142248828
-
A cellular automaton model for tumour growth in inhomogeneous environment
-
Alarcón T., Byrne H.M., Maini P.K. A cellular automaton model for tumour growth in inhomogeneous environment. J. Theoret. Biol. 2003, 225:257-274.
-
(2003)
J. Theoret. Biol.
, vol.225
, pp. 257-274
-
-
Alarcón, T.1
Byrne, H.M.2
Maini, P.K.3
-
57
-
-
25144494216
-
A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
-
Anderson A.R.A. A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. Math. Med. Biol. 2005, 22:163-186.
-
(2005)
Math. Med. Biol.
, vol.22
, pp. 163-186
-
-
Anderson, A.R.A.1
-
58
-
-
33746260079
-
Vascular network remodeling via vessel cooption, regression and growth in tumors
-
Bartha K., Rieger H. Vascular network remodeling via vessel cooption, regression and growth in tumors. J. Theoret. Biol. 2006, 241:903-918.
-
(2006)
J. Theoret. Biol.
, vol.241
, pp. 903-918
-
-
Bartha, K.1
Rieger, H.2
-
59
-
-
34247569970
-
A cell-based model exhibiting branching and anastomosis during tumor-induced angiogenesis
-
Bauer A.L., Jackson T.L., Jiang Y. A cell-based model exhibiting branching and anastomosis during tumor-induced angiogenesis. Biophys. J. 2007, 92:3105-3121.
-
(2007)
Biophys. J.
, vol.92
, pp. 3105-3121
-
-
Bauer, A.L.1
Jackson, T.L.2
Jiang, Y.3
-
60
-
-
58349117422
-
Individual-based and continuum models of growing cell populations: a comparison
-
Byrne H.M., Drasdo D. Individual-based and continuum models of growing cell populations: a comparison. J. Math. Biol. 2009, 58:657-687.
-
(2009)
J. Math. Biol.
, vol.58
, pp. 657-687
-
-
Byrne, H.M.1
Drasdo, D.2
-
61
-
-
0037898943
-
Individual-based approaches to birth and death in avascular tumors
-
Drasdo D., Höhme S. Individual-based approaches to birth and death in avascular tumors. Math. Comput. Modelling 2003, 37:1163-1175.
-
(2003)
Math. Comput. Modelling
, vol.37
, pp. 1163-1175
-
-
Drasdo, D.1
Höhme, S.2
-
62
-
-
26944481103
-
A single-scale-based model of tumor growth in vitro: monolayers and spheroids
-
Drasdo D., Höhme S. A single-scale-based model of tumor growth in vitro: monolayers and spheroids. Phys. Biol. 2005, 2:133-147.
-
(2005)
Phys. Biol.
, vol.2
, pp. 133-147
-
-
Drasdo, D.1
Höhme, S.2
-
63
-
-
34248216634
-
An evolutionary hybrid cellular automaton model of solid tumor growth
-
Gerlee P., Anderson A.R.A. An evolutionary hybrid cellular automaton model of solid tumor growth. J. Theoret. Biol. 2007, 246:583-603.
-
(2007)
J. Theoret. Biol.
, vol.246
, pp. 583-603
-
-
Gerlee, P.1
Anderson, A.R.A.2
-
64
-
-
38649099056
-
A hybrid cellular automaton model of clonal evolution in cancer: the emergence of the glycolytic phenotype
-
Gerlee P., Anderson A.R.A. A hybrid cellular automaton model of clonal evolution in cancer: the emergence of the glycolytic phenotype. J. Theoret. Biol. 2008, 250:705-722.
-
(2008)
J. Theoret. Biol.
, vol.250
, pp. 705-722
-
-
Gerlee, P.1
Anderson, A.R.A.2
-
65
-
-
28444483647
-
A multiscale model for avascular tumor growth
-
Jiang Y., Pjesivac-Grbovic J., Cantrell C., Freyer J.P. A multiscale model for avascular tumor growth. Biophys. J. 2005, 89:3884-3894.
-
(2005)
Biophys. J.
, vol.89
, pp. 3884-3894
-
-
Jiang, Y.1
Pjesivac-Grbovic, J.2
Cantrell, C.3
Freyer, J.P.4
-
66
-
-
33144475089
-
Flow correlated percolation during vascular remodeling in growing tumors
-
Lee D.S., Rieger H. Flow correlated percolation during vascular remodeling in growing tumors. Phys. Rev. Lett. 2006, 96:058104.
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 058104
-
-
Lee, D.S.1
Rieger, H.2
-
67
-
-
46749151795
-
Modeling the influence of the E-cadherin-beta-catenin pathway in cancer cell invasion: a multiscale approach
-
Ramis-Conde I., Drasdo D., Anderson A.R.A., Chaplain M.A.J. Modeling the influence of the E-cadherin-beta-catenin pathway in cancer cell invasion: a multiscale approach. Biophys. J. 2008, 95:155-165.
-
(2008)
Biophys. J.
, vol.95
, pp. 155-165
-
-
Ramis-Conde, I.1
Drasdo, D.2
Anderson, A.R.A.3
Chaplain, M.A.J.4
-
68
-
-
34248665735
-
A single-cell approach in modeling the dynamics of tumor microregions
-
Rejniak K. A single-cell approach in modeling the dynamics of tumor microregions. Math. Biosci. Eng. 2005, 2:643-655.
-
(2005)
Math. Biosci. Eng.
, vol.2
, pp. 643-655
-
-
Rejniak, K.1
-
69
-
-
34248638171
-
An immersed boundary framework for modeling the growth of individual cells: an application to the early tumour development
-
Rejniak K. An immersed boundary framework for modeling the growth of individual cells: an application to the early tumour development. J. Theoret. Biol. 2007, 247:186-204.
-
(2007)
J. Theoret. Biol.
, vol.247
, pp. 186-204
-
-
Rejniak, K.1
-
70
-
-
34250798594
-
Nonlinear three-dimensional simulation of solid tumor growth
-
Li X., Cristini V., Nie Q., Lowengrub J.S. Nonlinear three-dimensional simulation of solid tumor growth. Discrete Contin. Dyn. Syst. B 2007, 7:581-604.
-
(2007)
Discrete Contin. Dyn. Syst. B
, vol.7
, pp. 581-604
-
-
Li, X.1
Cristini, V.2
Nie, Q.3
Lowengrub, J.S.4
-
71
-
-
33947408080
-
Nonlinear simulation of the effect of microenvironment on tumor growth
-
Macklin P., Lowengrub J.S. Nonlinear simulation of the effect of microenvironment on tumor growth. J. Theoret. Biol. 2007, 245:677-704.
-
(2007)
J. Theoret. Biol.
, vol.245
, pp. 677-704
-
-
Macklin, P.1
Lowengrub, J.S.2
-
72
-
-
9144249023
-
Two-dimensional chemotherapy simulations demonstrate fundamental transport and tumor response limitations involving nanoparticles
-
Sinek J., Frieboes H.B., Zheng X., Cristini V. Two-dimensional chemotherapy simulations demonstrate fundamental transport and tumor response limitations involving nanoparticles. Biomed. Microdev. 2004, 6:297-309.
-
(2004)
Biomed. Microdev.
, vol.6
, pp. 297-309
-
-
Sinek, J.1
Frieboes, H.B.2
Zheng, X.3
Cristini, V.4
-
73
-
-
58349095136
-
Multiphase modeling of tumor growth and extracellular matrix interaction: mathematical tools and applications
-
Preziosi L., Tosin A. Multiphase modeling of tumor growth and extracellular matrix interaction: mathematical tools and applications. J. Math. Biol. 2009, 58:625-656.
-
(2009)
J. Math. Biol.
, vol.58
, pp. 625-656
-
-
Preziosi, L.1
Tosin, A.2
-
74
-
-
35348824187
-
A hybrid model for tumor spheroid growth in vitro I: theoretical development and early results
-
Kim Y., Stolarska M.A., Othmer H.G. A hybrid model for tumor spheroid growth in vitro I: theoretical development and early results. Math. Models Methods Appl. Sci. 2007, 17:1773-1798.
-
(2007)
Math. Models Methods Appl. Sci.
, vol.17
, pp. 1773-1798
-
-
Kim, Y.1
Stolarska, M.A.2
Othmer, H.G.3
-
76
-
-
34548460677
-
Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method
-
Wise S.M., Kim J.S., Lowengrub J.S. Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method. J. Comput. Phys. 2007, 226:414-446.
-
(2007)
J. Comput. Phys.
, vol.226
, pp. 414-446
-
-
Wise, S.M.1
Kim, J.S.2
Lowengrub, J.S.3
-
79
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
Jiang G.-S., Shu C.-W. Efficient implementation of weighted ENO schemes. J. Comput. Phys. 1996, 126:202-228.
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 202-228
-
-
Jiang, G.-S.1
Shu, C.-W.2
-
80
-
-
85128845199
-
Conservative multigrid methods for ternary Cahn-Hilliard systems
-
Kim J.S., Kang K., Lowengrub J.S. Conservative multigrid methods for ternary Cahn-Hilliard systems. Commun. Math. Sci. 2004, 2:53-77.
-
(2004)
Commun. Math. Sci.
, vol.2
, pp. 53-77
-
-
Kim, J.S.1
Kang, K.2
Lowengrub, J.S.3
-
82
-
-
32944454936
-
An integrated computational/experimental model of tumor invasion
-
Frieboes H.B., Zheng X., Sun C.-H., Tromberg B.J., Gatenby R., Cristini V. An integrated computational/experimental model of tumor invasion. Cancer Res. 2006, 66:1597-1604.
-
(2006)
Cancer Res.
, vol.66
, pp. 1597-1604
-
-
Frieboes, H.B.1
Zheng, X.2
Sun, C.-H.3
Tromberg, B.J.4
Gatenby, R.5
Cristini, V.6
-
83
-
-
67349203816
-
Stable and efficient finite-difference nonlinear-multigrid schemes for the phase-field crystal equation
-
Hu Z., Wise S.M., Wang C., Lowengrub J.S. Stable and efficient finite-difference nonlinear-multigrid schemes for the phase-field crystal equation. J. Comput. Phys. 2009, 228:5323-5339.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 5323-5339
-
-
Hu, Z.1
Wise, S.M.2
Wang, C.3
Lowengrub, J.S.4
-
84
-
-
77953024541
-
An energy stable and convergent finite-difference scheme for the phase field crystal equation
-
Wise S.M., Wang C., Lowengrub J.S. An energy stable and convergent finite-difference scheme for the phase field crystal equation. SIAM J. Numer. Anal. 2009, 47:2269-2288.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 2269-2288
-
-
Wise, S.M.1
Wang, C.2
Lowengrub, J.S.3
-
85
-
-
77953019931
-
Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
-
Wise S.M. Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations. J. Sci. Comput. 2010, 44:38-68.
-
(2010)
J. Sci. Comput.
, vol.44
, pp. 38-68
-
-
Wise, S.M.1
|