-
2
-
-
33750460277
-
Lower estimates of the attractor dimension for a chemotaxis growth system
-
Aida M, Tsujikawa T, Efendiev M, Yagi A, Mimura M (2006) Lower estimates of the attractor dimension for a chemotaxis growth system. J Lond Math Soc 74: 453-474.
-
(2006)
J Lond Math Soc
, vol.74
, pp. 453-474
-
-
Aida, M.1
Tsujikawa, T.2
Efendiev, M.3
Yagi, A.4
Mimura, M.5
-
3
-
-
25144494216
-
A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion
-
doi:10.1093/imammb/dqi005
-
Anderson ARA (2005) A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion. IMA Math Med Biol 22(2): 163-186. doi: 10. 1093/imammb/dqi005.
-
(2005)
IMA Math Med Biol
, vol.22
, Issue.2
, pp. 163-186
-
-
Anderson, A.R.A.1
-
4
-
-
0001175677
-
Mathematical modelling of tumour invasion and metastasis
-
Anderson ARA, Chaplain MAJ, Newman EL, Steele RJC, Thompson AM (2000) Mathematical modelling of tumour invasion and metastasis. Comput Math Method M 2(2): 129-154.
-
(2000)
Comput Math Method M
, vol.2
, Issue.2
, pp. 129-154
-
-
Anderson, A.R.A.1
Chaplain, M.A.J.2
Newman, E.L.3
Steele, R.J.C.4
Thompson, A.M.5
-
5
-
-
33751217466
-
Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment
-
Anderson ARA, Weaver AM, Cummings PT, Quaranta V (2006) Tumor morphology and phenotypic evolution driven by selective pressure from the microenvironment. Cell 127: 905-915.
-
(2006)
Cell
, vol.127
, pp. 905-915
-
-
Anderson, A.R.A.1
Weaver, A.M.2
Cummings, P.T.3
Quaranta, V.4
-
6
-
-
58349089151
-
Microenvironment driven invasion: a multiscale multimodel investigation
-
Anderson ARA, Rejniak KA, Gerlee P, Quaranta V (2009) Microenvironment driven invasion: a multiscale multimodel investigation. J Math Biol 58: 579-624.
-
(2009)
J Math Biol
, vol.58
, pp. 579-624
-
-
Anderson, A.R.A.1
Rejniak, K.A.2
Gerlee, P.3
Quaranta, V.4
-
7
-
-
0030788411
-
The urokinase-type plasminogen activator system in cancer metastasis: a review
-
Andreasen PA, Kjøller L, Christensen L, Duffy MJ (1997) The urokinase-type plasminogen activator system in cancer metastasis: a review. Int J Cancer 72(1): 1-22.
-
(1997)
Int J Cancer
, vol.72
, Issue.1
, pp. 1-22
-
-
Andreasen, P.A.1
Kjøller, L.2
Christensen, L.3
Duffy, M.J.4
-
8
-
-
0033981473
-
The plasminogen activation system in tumor growth, invasion, and metastasis
-
doi:10.1007/s000180050497
-
Andreasen PA, Egelund R, Petersen HH (2000) The plasminogen activation system in tumor growth, invasion, and metastasis. Cell Mol Life Sci 57(1): 25-40. doi: 10. 1007/s000180050497.
-
(2000)
Cell Mol Life Sci
, vol.57
, Issue.1
, pp. 25-40
-
-
Andreasen, P.A.1
Egelund, R.2
Petersen, H.H.3
-
9
-
-
3843079723
-
A history of the study of solid tumour growth: the contribution of mathematical modelling
-
doi:10.1016/j.bulm.2003.11.002
-
Araujo RP, McElwain DLS (2004) A history of the study of solid tumour growth: the contribution of mathematical modelling. B Math Biol 66(5): 1039-1091. doi: 10. 1016/j. bulm. 2003. 11. 002.
-
(2004)
B Math Biol
, vol.66
, Issue.5
, pp. 1039-1091
-
-
Araujo, R.P.1
McElwain, D.L.S.2
-
10
-
-
33749069471
-
A continuum approach to modelling cell-cell adhesion
-
doi:10.1016/j.jtbi.2006.05.030
-
Armstrong NJ, Painter KJ, Sherratt JA (2006) A continuum approach to modelling cell-cell adhesion. J Theor Biol 243(1): 98-113. doi: 10. 1016/j. jtbi. 2006. 05. 030.
-
(2006)
J Theor Biol
, vol.243
, Issue.1
, pp. 98-113
-
-
Armstrong, N.J.1
Painter, K.J.2
Sherratt, J.A.3
-
11
-
-
0037418096
-
The modelling of the immune competition by generalized kinetic (Boltzmann) models: Review and research perspectives
-
Bellomo N, Bellouquid A, De Angelis A (2003) The modelling of the immune competition by generalized kinetic (Boltzmann) models: Review and research perspectives. Math Comput Model 37: 1131-1142.
-
(2003)
Math Comput Model
, vol.37
, pp. 1131-1142
-
-
Bellomo, N.1
Bellouquid, A.2
de Angelis, A.3
-
12
-
-
78049285614
-
-
Boston: Birkhäuser
-
Bellomo N, Chaplain MAJ, De Angelis E (2008) Selected topics in cancer modeling: genesis, evolution, immune competition, and therapy (Modeling and simulation in science, engineering and technology). Birkhäuser, Boston.
-
(2008)
Selected Topics in Cancer Modeling: Genesis, Evolution, Immune Competition, and Therapy (Modeling and Simulation in Science, Engineering and Technology)
-
-
Bellomo, N.1
Chaplain, M.A.J.2
de Angelis, E.3
-
13
-
-
0014884119
-
Thickness, cross-sectional areas and depth of invasion in the prognosis of cutaneous melanoma
-
Breslow A (1970) Thickness, cross-sectional areas and depth of invasion in the prognosis of cutaneous melanoma. Ann Surg 172(5): 902-908.
-
(1970)
Ann Surg
, vol.172
, Issue.5
, pp. 902-908
-
-
Breslow, A.1
-
14
-
-
0035501748
-
An analysis of a mathematical model of trophoblast invasion
-
Byrne HM, Chaplain MAJ, Pettet GJ, McElwain DLS (2001) An analysis of a mathematical model of trophoblast invasion. Appl Math Lett 14(8): 1005-1010.
-
(2001)
Appl Math Lett
, vol.14
, Issue.8
, pp. 1005-1010
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
Pettet, G.J.3
McElwain, D.L.S.4
-
15
-
-
27644463491
-
Mathematical modelling of cancer cell invasion of tissue: The role of the urokinase plasminogen activation system
-
Chaplain MAJ, Lolas G (2005) Mathematical modelling of cancer cell invasion of tissue: The role of the urokinase plasminogen activation system. Math Mod Methods Appl Sci 15: 1685-1734.
-
(2005)
Math Mod Methods Appl Sci
, vol.15
, pp. 1685-1734
-
-
Chaplain, M.A.J.1
Lolas, G.2
-
16
-
-
85182867322
-
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
-
Chaplain MAJ, Lolas G (2006) Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Net Hetero Med 1: 399-439.
-
(2006)
Net Hetero Med
, vol.1
, pp. 399-439
-
-
Chaplain, M.A.J.1
Lolas, G.2
-
17
-
-
34247169981
-
A mathematical model of breast cancer development, local treatment and recurrence
-
Enderling H, Chaplain MAJ, Anderson ARA, Vaidya J (2007) A mathematical model of breast cancer development, local treatment and recurrence. J Theor Biol 246: 245-259.
-
(2007)
J Theor Biol
, vol.246
, pp. 245-259
-
-
Enderling, H.1
Chaplain, M.A.J.2
Anderson, A.R.A.3
Vaidya, J.4
-
18
-
-
0016007951
-
Tumor angiogenesis
-
Folkman J (1974) Tumor angiogenesis. Adv Cancer Res 19: 331-358.
-
(1974)
Adv Cancer Res
, vol.19
, pp. 331-358
-
-
Folkman, J.1
-
19
-
-
0016957980
-
The vascularization of tumors
-
Folkman J (1976) The vascularization of tumors. Sci Am 234(5): 58-73.
-
(1976)
Sci Am
, vol.234
, Issue.5
, pp. 58-73
-
-
Folkman, J.1
-
20
-
-
0023157363
-
Angiogenic factors
-
Folkman J, Klagsbrun M (1987) Angiogenic factors. Science 235(4787): 442-447.
-
(1987)
Science
, vol.235
, Issue.4787
, pp. 442-447
-
-
Folkman, J.1
Klagsbrun, M.2
-
21
-
-
32944454936
-
An integrated computational/experimental model of tumor invasion
-
Frieboes HB, Zheng X, Sun CH, Tromberg B, Gatenby R, Christini V (2006) An integrated computational/experimental model of tumor invasion. Cancer Res 66: 1597-1604.
-
(2006)
Cancer Res
, vol.66
, pp. 1597-1604
-
-
Frieboes, H.B.1
Zheng, X.2
Sun, C.H.3
Tromberg, B.4
Gatenby, R.5
Christini, V.6
-
22
-
-
0028882787
-
Models of tumor-host interaction as competing populations: implications for tumor biology and treatment
-
doi:10.1006/jtbi.1995.0212
-
Gatenby RA (1995) Models of tumor-host interaction as competing populations: implications for tumor biology and treatment. J Theor Biol 176(4): 447-455. doi: 10. 1006/jtbi. 1995. 0212.
-
(1995)
J Theor Biol
, vol.176
, Issue.4
, pp. 447-455
-
-
Gatenby, R.A.1
-
23
-
-
0029751950
-
A reaction-diffusion model of cancer invasion
-
Gatenby RA, Gawlinski ET (1996) A reaction-diffusion model of cancer invasion. Cancer Res 56(24): 5745-5753.
-
(1996)
Cancer Res
, vol.56
, Issue.24
, pp. 5745-5753
-
-
Gatenby, R.A.1
Gawlinski, E.T.2
-
24
-
-
33644524699
-
Robust numerical methods for taxis-diffusion-reaction systems: Applications to biomedical problems
-
Gerisch A, Chaplain MAJ (2006) Robust numerical methods for taxis-diffusion-reaction systems: Applications to biomedical problems. Math Comput Model 43: 49-75.
-
(2006)
Math Comput Model
, vol.43
, pp. 49-75
-
-
Gerisch, A.1
Chaplain, M.A.J.2
-
25
-
-
38649104788
-
Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
-
Gerisch A, Chaplain MAJ (2008) Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion. J Theor Biol 250(4): 684-704.
-
(2008)
J Theor Biol
, vol.250
, Issue.4
, pp. 684-704
-
-
Gerisch, A.1
Chaplain, M.A.J.2
-
26
-
-
0034614637
-
The hallmark of cancer
-
Hanahan D, Weinberg RA (2000) The hallmark of cancer. Cell 100: 57-70.
-
(2000)
Cell
, vol.100
, pp. 57-70
-
-
Hanahan, D.1
Weinberg, R.A.2
-
27
-
-
0021242388
-
Tumor heterogeneity
-
Heppner GH (1984) Tumor heterogeneity. Cancer Res 44: 2259-2265.
-
(1984)
Cancer Res
, vol.44
, pp. 2259-2265
-
-
Heppner, G.H.1
-
28
-
-
33748295649
-
5 Mesoscopic and Macroscopic Models for Mesenchymal Motion
-
5 Mesoscopic and Macroscopic Models for Mesenchymal Motion. J Math Biol 53(4): 585-616.
-
(2006)
J Math Biol
, vol.53
, Issue.4
, pp. 585-616
-
-
Hillen, T.1
-
29
-
-
0001404830
-
Global existence for a parabolic chemotaxis model with prevention of overcrowding
-
doi:10.1006/aama.2001.0721
-
Hillen T, Painter KJ (2001) Global existence for a parabolic chemotaxis model with prevention of overcrowding. Adv Appl Math 26(4): 280-301. doi: 10. 1006/aama. 2001. 0721.
-
(2001)
Adv Appl Math
, vol.26
, Issue.4
, pp. 280-301
-
-
Hillen, T.1
Painter, K.J.2
-
30
-
-
63049107118
-
A user's guide to PDE models for chemotaxis
-
doi:10.1007/s00285-008-0201-3
-
Hillen T, Painter KJ (2009) A user's guide to PDE models for chemotaxis. J Math Biol 58: 183-217. doi: 10. 1007/s00285-008-0201-3.
-
(2009)
J Math Biol
, vol.58
, pp. 183-217
-
-
Hillen, T.1
Painter, K.J.2
-
31
-
-
0032183717
-
Positivity of Runge-Kutta and diagonally split Runge-Kutta methods
-
Horváth Z (1998) Positivity of Runge-Kutta and diagonally split Runge-Kutta methods. Appl Numer Math 28(2-4): 309-326.
-
(1998)
Appl Numer Math
, vol.28
, Issue.2-4
, pp. 309-326
-
-
Horváth, Z.1
-
32
-
-
0030661825
-
Prognostic Value of Immunohistochemically Identifiable Tumor Cells in Lymph Nodes of Patients with Completely Resected Esophageal Cancer
-
Izbicki JR, Hosch SB, Pichlmeier U, Rehders A, Busch C, Niendorf A, Passlick B, Broelsch CE, Pantel K (1997) Prognostic Value of Immunohistochemically Identifiable Tumor Cells in Lymph Nodes of Patients with Completely Resected Esophageal Cancer. N Engl J Med 337: 1188-1194.
-
(1997)
N Engl J Med
, vol.337
, pp. 1188-1194
-
-
Izbicki, J.R.1
Hosch, S.B.2
Pichlmeier, U.3
Rehders, A.4
Busch, C.5
Niendorf, A.6
Passlick, B.7
Broelsch, C.E.8
Pantel, K.9
-
33
-
-
43049146157
-
The role of proteases in transforming growth factor-β activation
-
doi:10.1016/j.biocel.2007.11.026
-
Jenkins G (2008) The role of proteases in transforming growth factor-β activation. Int J Biochem Cell Biol 40(6-7): 1068-1078. doi: 10. 1016/j. biocel. 2007. 11. 026.
-
(2008)
Int J Biochem Cell Biol
, vol.40
, Issue.6-7
, pp. 1068-1078
-
-
Jenkins, G.1
-
34
-
-
0014748565
-
Initiation of slime mold aggregation viewed as instability
-
Keller EF, Segel LA (1970) Initiation of slime mold aggregation viewed as instability. J Theor Biol 26: 399-417.
-
(1970)
J Theor Biol
, vol.26
, pp. 399-417
-
-
Keller, E.F.1
Segel, L.A.2
-
35
-
-
0026806148
-
Prognostic significance of micrometastatic tumour cells in bone marrow of colorectal cancer patients
-
doi:10.1016/0140-6736(92)92230-D
-
Lindemann F, Schlimok G, Dirschedl P, Witte J, Riethmuller G (1992) Prognostic significance of micrometastatic tumour cells in bone marrow of colorectal cancer patients. Lancet 340: 685-689. doi: 10. 1016/0140-6736(92)92230-D.
-
(1992)
Lancet
, vol.340
, pp. 685-689
-
-
Lindemann, F.1
Schlimok, G.2
Dirschedl, P.3
Witte, J.4
Riethmuller, G.5
-
36
-
-
76149128357
-
Nonlinear modelling of cancer: bridging the gap between cells and tumours
-
doi:10.1088/0951-7715/23/1/R01
-
Lowengrub JS, Frieboes HB, Jin F, Chuang Y-L, Li X, Macklin P, Wise SM, Cristini V (2010) Nonlinear modelling of cancer: bridging the gap between cells and tumours. Nonlinearity 23: R1-R91. doi: 10. 1088/0951-7715/23/1/R01.
-
(2010)
Nonlinearity
, vol.23
, pp. 1-91
-
-
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
-
38
-
-
16644400591
-
Mathematical modeling of tumor-induced angiogenesis
-
doi:10.1007/s00285-003-0262-2
-
Mantzaris NV, Webb S, Othmer HG (2004) Mathematical modeling of tumor-induced angiogenesis. J Math Biol 49(2): 111-187. doi: 10. 1007/s00285-003-0262-2.
-
(2004)
J Math Biol
, vol.49
, Issue.2
, pp. 111-187
-
-
Mantzaris, N.V.1
Webb, S.2
Othmer, H.G.3
-
39
-
-
69449084464
-
Increased invasive behaviour in cutaneous squamous cell carcinoma with loss of basement-membrane type VII collagen
-
doi:10.1242/jcs.042895
-
Martins VL, Vyas JJ, Chen M, Purdie K, Mein CA, South AP, Storey A, McGrath JA, O'Toole EA (2009) Increased invasive behaviour in cutaneous squamous cell carcinoma with loss of basement-membrane type VII collagen. J Cell Sci 122: 1788-1799. doi: 10. 1242/jcs. 042895.
-
(2009)
J Cell Sci
, vol.122
, pp. 1788-1799
-
-
Martins, V.L.1
Vyas, J.J.2
Chen, M.3
Purdie, K.4
Mein, C.A.5
South, A.P.6
Storey, A.7
McGrath, J.A.8
O'Toole, E.A.9
-
40
-
-
8744228986
-
Travelling-wave analysis of a model of the immune response to cancer
-
Matzavinos A, Chaplain MAJ (2004) Travelling-wave analysis of a model of the immune response to cancer. C R Biol 327(11): 995-1008.
-
(2004)
C R Biol
, vol.327
, Issue.11
, pp. 995-1008
-
-
Matzavinos, A.1
Chaplain, M.A.J.2
-
41
-
-
1642348723
-
Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour
-
Matzavinos A, Chaplain MAJ, Kuznetsov VA (2004) Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour. IMA J Math Med Biol 21(1): 1-34.
-
(2004)
IMA J Math Med Biol
, vol.21
, Issue.1
, pp. 1-34
-
-
Matzavinos, A.1
Chaplain, M.A.J.2
Kuznetsov, V.A.3
-
42
-
-
14944357291
-
Development of a quantitative method to analyse tumour cell invasion in organotypic culture
-
doi:10.1002/path.1716
-
Nyström ML, Thomas GJ, Stone M, Mackenzie IC, Hart IR, Marshall JF (2005) Development of a quantitative method to analyse tumour cell invasion in organotypic culture. J Pathol 205(4): 468-475. doi: 10. 1002/path. 1716.
-
(2005)
J Pathol
, vol.205
, Issue.4
, pp. 468-475
-
-
Nyström, M.L.1
Thomas, G.J.2
Stone, M.3
Mackenzie, I.C.4
Hart, I.R.5
Marshall, J.F.6
-
43
-
-
0030161443
-
A mathematical model of the first steps of tumour-related angiogenesis: Capillary sprout formation and secondary branching
-
Orme ME, Chaplain MAJ (1996) A mathematical model of the first steps of tumour-related angiogenesis: Capillary sprout formation and secondary branching. IMA J Math Med Biol 13: 73-98.
-
(1996)
IMA J Math Med Biol
, vol.13
, pp. 73-98
-
-
Orme, M.E.1
Chaplain, M.A.J.2
-
44
-
-
58549106333
-
Modelling cell migration strategies in the extracellular matrix
-
doi:10.1007/s00285-008-0217-8
-
Painter KJ (2009) Modelling cell migration strategies in the extracellular matrix. J Math Biol 58(4-5): 511-543. doi: 10. 1007/s00285-008-0217-8.
-
(2009)
J Math Biol
, vol.58
, Issue.4-5
, pp. 511-543
-
-
Painter, K.J.1
-
45
-
-
4944248574
-
Volume-filling and quorum-sensing in models for chemosensitive movement
-
Painter KJ, Hillen T (2002) Volume-filling and quorum-sensing in models for chemosensitive movement. Can Appl Math Q 10(4): 501-543.
-
(2002)
Can Appl Math Q
, vol.10
, Issue.4
, pp. 501-543
-
-
Painter, K.J.1
Hillen, T.2
-
46
-
-
77952668255
-
The impact of adhesion on cellular invasion processes in cancer and development
-
Painter KJ, Armstrong NA, Sherratt JA (2010) The impact of adhesion on cellular invasion processes in cancer and development. J Theor Biol 264: 1057-1067.
-
(2010)
J Theor Biol
, vol.264
, pp. 1057-1067
-
-
Painter, K.J.1
Armstrong, N.A.2
Sherratt, J.A.3
-
47
-
-
0031026874
-
Matrix metalloproteinases
-
Parsons SL, Watson SA, Brown PD, Collins HM, Steele RJ (1997) Matrix metalloproteinases. Br J Surg 84(2): 160-166.
-
(1997)
Br J Surg
, vol.84
, Issue.2
, pp. 160-166
-
-
Parsons, S.L.1
Watson, S.A.2
Brown, P.D.3
Collins, H.M.4
Steele, R.J.5
-
48
-
-
34548086009
-
Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems
-
Pearce IG, Chaplain MAJ, Schofield PG, Anderson ARA, Hubbard SF (2007) Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems. J Math Biol 55: 365-388.
-
(2007)
J Math Biol
, vol.55
, pp. 365-388
-
-
Pearce, I.G.1
Chaplain, M.A.J.2
Schofield, P.G.3
Anderson, A.R.A.4
Hubbard, S.F.5
-
49
-
-
0035721955
-
Role of the matrix metalloproteinase and plasminogen activator-plasmin systems in angiogenesis
-
Pepper MS (2001) Role of the matrix metalloproteinase and plasminogen activator-plasmin systems in angiogenesis. Arterioscler Thromb Vasc Biol 21(7): 1104-1117.
-
(2001)
Arterioscler Thromb Vasc Biol
, vol.21
, Issue.7
, pp. 1104-1117
-
-
Pepper, M.S.1
-
50
-
-
59349110717
-
In vivo imaging of extracellular matrix remodeling by tumor-associated fibroblasts
-
doi:10.1038/nmeth.1295
-
Perentes JY, McKee TD, Ley CD, Mathiew H, Dawson M, Padera TP, Munn LL, Jain RK, Boucher Y (2009) In vivo imaging of extracellular matrix remodeling by tumor-associated fibroblasts. Nature Methods 6(2): 143-145. doi: 10. 1038/nmeth. 1295.
-
(2009)
Nature Methods
, vol.6
, Issue.2
, pp. 143-145
-
-
Perentes, J.Y.1
McKee, T.D.2
Ley, C.D.3
Mathiew, H.4
Dawson, M.5
Padera, T.P.6
Munn, L.L.7
Jain, R.K.8
Boucher, Y.9
-
51
-
-
0030407429
-
Biological inferences from a mathematical model for malignant invasion
-
Perumpanani AJ, Sherratt JA, Norbury J, Byrne HM (1996) Biological inferences from a mathematical model for malignant invasion. Invasion Metastasis 16(4-5): 209-221.
-
(1996)
Invasion Metastasis
, vol.16
, Issue.4-5
, pp. 209-221
-
-
Perumpanani, A.J.1
Sherratt, J.A.2
Norbury, J.3
Byrne, H.M.4
-
52
-
-
0032559009
-
Extracellular matrix-mediated chemotaxis can impede cell migration
-
Perumpanani AJ, Simmons DL, Gearing AJH, Miller KM, Ward G, Norbury J, Schneemann M, Sherratt JA (1998) Extracellular matrix-mediated chemotaxis can impede cell migration. Proc Roy Soc Lond B 265: 2347-2352.
-
(1998)
Proc Roy Soc Lond B
, vol.265
, pp. 2347-2352
-
-
Perumpanani, A.J.1
Simmons, D.L.2
Gearing, A.J.H.3
Miller, K.M.4
Ward, G.5
Norbury, J.6
Schneemann, M.7
Sherratt, J.A.8
-
53
-
-
67651101095
-
Front instabilities and invasiveness of simulated avascular tumors
-
Poplawski NJ, Agero U, Gens JS, Swat M, Glazier JA, Anderson ARA (2009) Front instabilities and invasiveness of simulated avascular tumors. Bull Math Biol 71: 1189-1227.
-
(2009)
Bull Math Biol
, vol.71
, pp. 1189-1227
-
-
Poplawski, N.J.1
Agero, U.2
Gens, J.S.3
Swat, M.4
Glazier, J.A.5
Anderson, A.R.A.6
-
55
-
-
46749151795
-
Modeling the influence of the E-cadherin-beta-catenin pathway in cancer cell invasion: a multiscale approach
-
doi:10.1529/biophysj.107.114678
-
Ramis-Conde I, Drasdo D, Anderson ARA, Chaplain MAJ (2008) Modeling the influence of the E-cadherin-beta-catenin pathway in cancer cell invasion: a multiscale approach. Biophys J 95: 155-165. doi: 10. 1529/biophysj. 107. 114678.
-
(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
-
56
-
-
0035480791
-
A new mathematical model for avascular tumour growth
-
Sherratt JA, Chaplain MAJ (2001) A new mathematical model for avascular tumour growth. J Math Biol 43: 291-312.
-
(2001)
J Math Biol
, vol.43
, pp. 291-312
-
-
Sherratt, J.A.1
Chaplain, M.A.J.2
-
57
-
-
0029870954
-
The war on cancer
-
Sporn MB (1996) The war on cancer. Lancet 347(9012): 1377-1381.
-
(1996)
Lancet
, vol.347
, Issue.9012
, pp. 1377-1381
-
-
Sporn, M.B.1
-
58
-
-
0020616225
-
Human tumor cell heterogeneity and metastasis
-
Spremulli EN, Dexter DL (1983) Human tumor cell heterogeneity and metastasis. J Clin Oncol 1(8): 496-509.
-
(1983)
J Clin Oncol
, vol.1
, Issue.8
, pp. 496-509
-
-
Spremulli, E.N.1
Dexter, D.L.2
-
59
-
-
0024281372
-
Cell and environment interactions in tumor microregions: the multicell spheroid model
-
Sutherland RM (1988) Cell and environment interactions in tumor microregions: the multicell spheroid model. Science 240: 177-184.
-
(1988)
Science
, vol.240
, pp. 177-184
-
-
Sutherland, R.M.1
-
60
-
-
8744271007
-
Analysis of immunotherapy models in the context of cancer dynamics
-
Szymańska Z (2003) Analysis of immunotherapy models in the context of cancer dynamics. Int J Appl Math Comp 13: 407-418.
-
(2003)
Int J Appl Math Comp
, vol.13
, pp. 407-418
-
-
Szymańska, Z.1
-
61
-
-
65249129127
-
Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions
-
Szymańska Z, Rodrigo CM, Lachowicz M, Chaplain MAJ (2009) Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions. Math Mod Methods Appl Sci 19(2): 257-281.
-
(2009)
Math Mod Methods Appl Sci
, vol.19
, Issue.2
, pp. 257-281
-
-
Szymańska, Z.1
Rodrigo, C.M.2
Lachowicz, M.3
Chaplain, M.A.J.4
-
62
-
-
0036304182
-
Intercellular adhesion and cancer invasion: a discrete simulation using the extended Potts model
-
doi:10.1006/jtbi.2001.2522
-
Turner S, Sherratt JA (2002) Intercellular adhesion and cancer invasion: a discrete simulation using the extended Potts model. J Theor Biol 216(1): 85-100. doi: 10. 1006/jtbi. 2001. 2522.
-
(2002)
J Theor Biol
, vol.216
, Issue.1
, pp. 85-100
-
-
Turner, S.1
Sherratt, J.A.2
-
63
-
-
34848920328
-
Classical solutions and pattern formation for a volume filling chemotaxis model
-
doi:10.1063/1.2766864
-
Wang Z, Hillen T (2007) Classical solutions and pattern formation for a volume filling chemotaxis model. Chaos 17: 037108. doi: 10. 1063/1. 2766864.
-
(2007)
Chaos
, vol.17
, pp. 037108
-
-
Wang, Z.1
Hillen, T.2
-
64
-
-
0031269968
-
ROWMAP-a ROW-code with Krylov techniques for large stiff ODEs
-
Weiner R, Schmitt BA, Podhaisky H (1997) ROWMAP-a ROW-code with Krylov techniques for large stiff ODEs. Appl Numer Math 25: 303-319.
-
(1997)
Appl Numer Math
, vol.25
, pp. 303-319
-
-
Weiner, R.1
Schmitt, B.A.2
Podhaisky, H.3
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