-
1
-
-
33646517762
-
Modeling aspects of cancer dynamics: A review
-
doi:10.1098/rsta.2006.1786
-
Byrne, H. M., Alarcon, T., Owen, M. R., Webb, S. D. & Maini, P. K. 2006 Modeling aspects of cancer dynamics: a review. Phil. Trans. R. Soc. A 364, 1563-1578. (doi:10.1098/rsta.2006.1786)
-
(2006)
Phil. Trans. R. Soc. A
, vol.364
, pp. 1563-1578
-
-
Byrne, H.M.1
Alarcon, T.2
Owen, M.R.3
Webb, S.D.4
Maini, P.K.5
-
2
-
-
84900045268
-
Mathematical modelling of tumour growth and treatment
-
Milan, Italy: Springer
-
Fasano, A., Bertuzzi, A. & Gandolfi, A. 2006 Mathematical modelling of tumour growth and treatment. In Complex systems in biomedicine, pp. 71-108. Milan, Italy: Springer.
-
(2006)
Complex Systems in Biomedicine
, pp. 71-108
-
-
Fasano, A.1
Bertuzzi, A.2
Gandolfi, A.3
-
3
-
-
33745943438
-
Individual cell-based models of the spatial-temporal organization of multicellular systems - Achievements and limitations
-
DOI 10.1002/cyto.a.20287
-
Galle, J., Aust, G., Schaller, G., Beyer, T. & Drasdo, D. 2006 Individual cell-based models of the spatial temporal organization of multicellular systems-achievements and limitations. Cytometry 69A, 704-710. (doi:10.1002/cyto.a.20287) (Pubitemid 44060603)
-
(2006)
Cytometry Part a
, vol.69
, Issue.7
, pp. 704-710
-
-
Galle, J.1
Aust, G.2
Schaller, G.3
Beyer, T.4
Drasdo, D.5
-
4
-
-
34249873259
-
On the role of physics in the growth and pattern of multicellular systems: What we learn from individual-cell based models?
-
doi:10.1007/s10955-007-9289-x
-
Drasdo, D. & Hohme, S. 2007 On the role of physics in the growth and pattern of multicellular systems: what we learn from individual-cell based models? J. Stat. Phys. 128, 287-345. (doi:10.1007/s10955-007-9289-x)
-
(2007)
J. Stat. Phys.
, vol.128
, pp. 287-345
-
-
Drasdo, D.1
Hohme, S.2
-
5
-
-
35348819870
-
Mathematical analysis and challenges arising from models of tumor growth
-
doi:10.1142/S0218202507002467
-
Friedman, A., Bellomo, N. & Maini, P. K. 2007 Mathematical analysis and challenges arising from models of tumor growth. Math. Models Meth. Appl. Sci. 17, 1751-1772. (doi:10.1142/S0218202507002467)
-
(2007)
Math. Models Meth. Appl. Sci.
, vol.17
, pp. 1751-1772
-
-
Friedman, A.1
Bellomo, N.2
Maini, P.K.3
-
6
-
-
46849108877
-
Mechanics in tumor growth
-
(eds F. Mollica, L. Preziosi & K. R. Rajagopal), New York, NY: Birkhauser
-
Graziano, L. & Preziosi, L. 2007 Mechanics in tumor growth. In Modelling of biological materials (eds F. Mollica, L. Preziosi & K. R. Rajagopal), pp. 267-328. New York, NY: Birkhauser.
-
(2007)
Modelling of Biological Materials
, pp. 267-328
-
-
Graziano, L.1
Preziosi, L.2
-
7
-
-
34247366464
-
Towards a multiscale model of colorectal cancer
-
van Leeuwen, I. I. M., Edwards, C. M., Ilyas, M. & Byrne, H. M. 2007 Towards a multiscale model of colorectal cancer. World Gastroenterol. 13, 1399-1407.
-
(2007)
World Gastroenterol
, vol.13
, pp. 1399-1407
-
-
Van Leeuwen, I.I.M.1
Edwards, C.M.2
Ilyas, M.3
Byrne, H.M.4
-
8
-
-
34250776126
-
Multiscale models for the growth of avascular tumors
-
doi:10.1016/j.plrev.2007.04.002
-
Martinsa, M. L., Ferreira Jr, S. C. & Vilela, M. J. 2007 Multiscale models for the growth of avascular tumors. Phys. Life Rev. 4, 128-156. (doi:10.1016/j.plrev.2007.04.002)
-
(2007)
Phys. Life Rev.
, vol.4
, pp. 128-156
-
-
Martinsa, M.L.1
Ferreira Jr., S.C.2
Vilela, M.J.3
-
9
-
-
34249980052
-
Mathematical models of avascular tumor growth
-
doi:10.1137/S0036144504446291
-
Roose, T., Chapman, S. J. & Maini, P. K. 2007 Mathematical models of avascular tumor growth. Siam Review 49, 179-208. (doi:10.1137/S0036144504446291)
-
(2007)
Siam Review
, vol.49
, pp. 179-208
-
-
Roose, T.1
Chapman, S.J.2
Maini, P.K.3
-
10
-
-
34547771792
-
Predictive oncology: A review of multidisciplinary, multiscale in silico modeling linking phenotype, morphology and growth
-
doi:10.1016/j.neuroimage.2007.05.043
-
Sanga, S., Frieboes, H. B., Zheng, X., Gatenby, R., Bearer, E. L. & Cristini, V. 2007 Predictive oncology: a review of multidisciplinary, multiscale in silico modeling linking phenotype, morphology and growth. NeuroImage 37, S120-S134. (doi:10.1016/j.neuroimage.2007.05.043)
-
(2007)
NeuroImage
, vol.37
-
-
Sanga, S.1
Frieboes, H.B.2
Zheng, X.3
Gatenby, R.4
Bearer, E.L.5
Cristini, V.6
-
11
-
-
39749086288
-
Integrative mathematical oncology
-
doi:10.1038/nrc2329
-
Anderson, A. R. A. & Quaranta, V. 2008 Integrative mathematical oncology. Nat. Rev. Cancer 8, 227-234. (doi:10.1038/nrc2329)
-
(2008)
Nat. Rev. Cancer
, vol.8
, pp. 227-234
-
-
Anderson, A.R.A.1
Quaranta, V.2
-
12
-
-
44349107599
-
On the foundations of cancer modelling: Selected topics, speculations, and perspectives
-
doi:10.1142/S0218202508002796
-
Bellomo, N., Li, N. K. & Maini, P. K. 2008 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Math. Models Meth. Appl. Sci. 4, 593-646. (doi:10.1142/S0218202508002796)
-
(2008)
Math. Models Meth. Appl. Sci.
, vol.4
, pp. 593-646
-
-
Bellomo, N.1
Li, N.K.2
Maini, P.K.3
-
13
-
-
61349156235
-
Computational modeling of brain tumors: Discrete, continuum or hybrid? Scientific Model
-
doi:10.1007/978-1-4020-9741-6-20
-
Wang, Z. & Deisboeck, T. S. 2008 Computational modeling of brain tumors: discrete, continuum or hybrid? Scientific Model. Simul. 15, 381-393. (doi:10.1007/978-1-4020-9741-6-20)
-
(2008)
Simul.
, vol.15
, pp. 381-393
-
-
Wang, Z.1
Deisboeck, T.S.2
-
14
-
-
73949146216
-
In silico cancer modeling: Is it ready for prime time?
-
doi:10.1038/ncponc1237
-
Deisboeck, T. S., Zhang, L., Yoon, J. & Costa, J. 2009 In silico cancer modeling: is it ready for prime time? Nature Clin. Practice Oncol. 6, 34-42. (doi:10.1038/ncponc1237)
-
(2009)
Nature Clin. Practice Oncol.
, vol.6
, pp. 34-42
-
-
Deisboeck, T.S.1
Zhang, L.2
Yoon, J.3
Costa, J.4
-
15
-
-
76149102645
-
Multiphase and multiscale trends in cancer modeling
-
doi:/10.1051/mmnp
-
Preziosi, L. & Tosin, A. 2009 Multiphase and multiscale trends in cancer modeling. Math. Mod. Nat. Phenom. 4, 1-11. (doi:/10.1051/mmnp)
-
(2009)
Math. Mod. Nat. Phenom.
, vol.4
, pp. 1-11
-
-
Preziosi, L.1
Tosin, A.2
-
16
-
-
68149138796
-
Biophysical models of tumor growth
-
doi:10.1088/0034-4885/72/5/056701
-
Tracqui, P. 2009 Biophysical models of tumor growth. Rep. Prog. Phys. 72, 056701. (doi:10.1088/0034-4885/72/5/056701)
-
(2009)
Rep. Prog. Phys.
, vol.72
, pp. 056701
-
-
Tracqui, P.1
-
17
-
-
58349111321
-
On the role of cell signaling models in cancer research
-
doi:10.1158/0008-5472.CAN-08-4422
-
Ventura, A. C., Jackson, T. L. & Merajver, S. D. 2009 On the role of cell signaling models in cancer research. Cancer Res. 69, 400-402. (doi:10.1158/0008-5472.CAN-08-4422)
-
(2009)
Cancer Res.
, vol.69
, pp. 400-402
-
-
Ventura, A.C.1
Jackson, T.L.2
Merajver, S.D.3
-
18
-
-
58349094920
-
Multiscale agent-based cancer modeling
-
doi:10.1007/s00285-008-0211-1
-
Zhang, L., Wang, Z., Sagotsky, J. A. & Deisboeck, T. S. 2009 Multiscale agent-based cancer modeling. J. Math. Biol. 58, 545-559. (doi:10.1007/s00285-008-0211-1)
-
(2009)
J. Math. Biol.
, vol.58
, pp. 545-559
-
-
Zhang, L.1
Wang, Z.2
Sagotsky, J.A.3
Deisboeck, T.S.4
-
19
-
-
76149128357
-
Nonlinear modeling of cancer: Bridging the gap between cells and tumors
-
doi:10.1088/0951-7715/23/1/R01
-
Lowengrub, J. S., Frieboes, H. B., Jin, F., Chuang, Y.-L., Li, X., Macklin, P., Wise, S. M & Cristini, V. 2010 Nonlinear modeling of cancer: bridging the gap between cells and tumors. Nonlinearity 23, 1-91. (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
-
20
-
-
0242607878
-
Virtual and real brain tumors: Using mathematical modeling to quantify glioma growth and invasion
-
doi:10.1016/j.jns.2003.06.001
-
Swanson, K. R., Bridge, C., Murray, J. D. & Alvord, E. C. jr. 2003 Virtual and real brain tumors: using mathematical modeling to quantify glioma growth and invasion. J. Neuro. Sci. 216, 1-10. (doi:10.1016/j.jns.2003.06.001)
-
(2003)
J. Neuro. Sci.
, vol.216
, pp. 1-10
-
-
Swanson, K.R.1
Bridge, C.2
Murray, J.D.3
Alvord Jr., E.C.4
-
21
-
-
24144449971
-
Simulation of anisotropic growth of lowgrade gliomas using diffusion tensor imaging
-
doi:10.1002/mrm.20625
-
Jbabdi, S., Mandonnet, E., Duffau, H., Capelle, L., Swanson, K. R., Pelegrini-Issac, M., Guillevin, R. & Benali, H. 2005 Simulation of anisotropic growth of lowgrade gliomas using diffusion tensor imaging. Magn. Res. Med. 54, 616-624. (doi:10.1002/mrm.20625)
-
(2005)
Magn. Res. Med.
, vol.54
, pp. 616-624
-
-
Jbabdi, S.1
Mandonnet, E.2
Duffau, H.3
Capelle, L.4
Swanson, K.R.5
Pelegrini-Issac, M.6
Guillevin, R.7
Benali, H.8
-
22
-
-
33646592237
-
Dynamics and pattern formation in invasive tumor growth
-
doi:10.1103/PhysRevLett.96.188103
-
Khain, E. & Sander, L. M. 2006 Dynamics and pattern formation in invasive tumor growth. Phys. Rev. Lett. 96, 188103. (doi:10.1103/PhysRevLett.96. 188103)
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 188103
-
-
Khain, E.1
Sander, L.M.2
-
23
-
-
0346031985
-
Modelling the early growth of ductal carcinoma in situ of the breast
-
doi:10.1007/s00285-003-0214-x
-
Franks, S. J., Byrne, H. M., King, J. R., Underwood, J. C. E. & Lewis, C. E. 2003 Modelling the early growth of ductal carcinoma in situ of the breast. J. Math. Biol. 47, 424-452. (doi:10.1007/s00285-003-0214-x)
-
(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
-
24
-
-
0347504530
-
Mathematical modelling of comedo ductal carcinoma in situ of the breast
-
doi:10.1093/imammb%2F20.3.277
-
Franks, S. J., Byrne, H. M., Mudhar, H. S., Underwood, J. C. E. & Lewis, C. E. 2003 Mathematical modelling of comedo ductal carcinoma in situ of the breast. Math. Med. Biol. 20, 277-308. (doi:10.1093/imammb%2F20.3.277)
-
(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
-
25
-
-
0642378039
-
Nonlinear simulation of tumor growth
-
doi:10.1007/s00285-002-0174-6
-
Cristini, V., Lowengrub, J. S. & Nie, Q. 2003 Nonlinear simulation of tumor growth. J. Math. Biol. 46, 191-224. (doi:10.1007/s00285-002-0174-6)
-
(2003)
J. Math. Biol.
, vol.46
, pp. 191-224
-
-
Cristini, V.1
Lowengrub, J.S.2
Nie, Q.3
-
26
-
-
26444591026
-
Morphologic instability and cancer invasion
-
doi:10.1158/1078-0432.CCR-05-0852
-
Cristini, V., Frieboes, H. B., Gatenby, R., Caserta, S., Ferrari, M. & Sinek, J. 2005 Morphologic instability and cancer invasion. Clin. Cancer Res. 11, 6772-6779. (doi:10.1158/1078-0432.CCR-05-0852)
-
(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
-
27
-
-
32944454936
-
An integrated computational/experimental model of tumor invasion
-
doi:10.1158/0008-5472.CAN-05-3166
-
Frieboes, H., Zheng, X., Sun, C., Tromberg, B., Gatenby, R. & Cristini, V. 2006 An integrated computational/experimental model of tumor invasion. Cancer Res. 66, 1597-1604. (doi:10.1158/0008-5472.CAN-05-3166)
-
(2006)
Cancer Res.
, vol.66
, pp. 1597-1604
-
-
Frieboes, H.1
Zheng, X.2
Sun, C.3
Tromberg, B.4
Gatenby, R.5
Cristini, V.6
-
28
-
-
39449114548
-
Bifurcation for a free boundary problem modeling tumor growth by Stokes equation
-
doi:10.1137/060656292
-
Friedman, A. & Hu, B. 2007 Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. SIAM J. Math. Ana. 39, 174-194. (doi:10.1137/060656292)
-
(2007)
SIAM J. Math. Ana.
, vol.39
, pp. 174-194
-
-
Friedman, A.1
Hu, B.2
-
29
-
-
33947408080
-
Nonlinear simulation of the effect of microenvironment on tumor growth
-
doi:10.1016/j.jtbi.2006.12.004
-
Macklin, P. & Lowengrub, J. S. 2007 Nonlinear simulation of the effect of microenvironment on tumor growth. J. Theor. Biol. 245, 677-704. (doi:10.1016/j.jtbi.2006.12.004)
-
(2007)
J. Theor. Biol.
, vol.245
, pp. 677-704
-
-
Macklin, P.1
Lowengrub, J.S.2
-
30
-
-
0030431867
-
Modelling the role of cell-cell-adhesion in the growth and development of carcinomas
-
10.1016/S0895-7177%2896%2900174-4
-
Byrne, H. M. & Chaplain, M. A. J. 1996 Modelling the role of cell-cell-adhesion in the growth and development of carcinomas. Math. Comput. Modelling 24, 1-17. (10.1016/S0895-7177%2896%2900174-4)
-
(1996)
Math. Comput. Modelling
, vol.24
, pp. 1-17
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
31
-
-
0031320752
-
Free boundary value problems associated with the growth and development of multicellular spheroids
-
doi:10.1017/S0956792597003264
-
Byrne, H. M. & Chaplain, M. A. J. 1997 Free boundary value problems associated with the growth and development of multicellular spheroids. Eur. J. Appl. Math. 8, 639-658. (doi:10.1017/S0956792597003264)
-
(1997)
Eur. J. Appl. Math.
, vol.8
, pp. 639-658
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
32
-
-
0017198676
-
On the growth and stability of cell cultures and solid tumors
-
doi:10.1016/S0022-5193%2876%2980054-9
-
Greenspan, H. P. 1976 On the growth and stability of cell cultures and solid tumors. J. Theor. Biol. 56, 229-242. (doi:10.1016/S0022-5193%2876%2980054- 9)
-
(1976)
J. Theor. Biol.
, vol.56
, pp. 229-242
-
-
Greenspan, H.P.1
-
33
-
-
0028790729
-
Growth of nonnecrotic tumors in the presence and absence of inhibitors
-
doi:10.1016/0025-5564%2894%2900117-3
-
Byrne, H. M. & Chaplain, M. A. J. 1995 Growth of nonnecrotic tumors in the presence and absence of inhibitors. Math. Biosciences 130, 151-181. (doi:10.1016/0025-5564%2894%2900117-3)
-
(1995)
Math. Biosciences
, vol.130
, pp. 151-181
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
34
-
-
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
-
Zheng, X., Wise, S. M. & Cristini, V. 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. (doi:10.1016/j.bulm.2004.08.001)
-
(2005)
Bull. Math. Biol.
, vol.67
, pp. 211-259
-
-
Zheng, X.1
Wise, S.M.2
Cristini, V.3
-
35
-
-
0033094895
-
Analysis of a mathematical model for the growth of tumors
-
doi:10.1007/s002850050149
-
Friedman, A. & Reitich, F. 1999 Analysis of a mathematical model for the growth of tumors. J. Math. Biol. 38, 262-284. (doi:10.1007/s002850050149)
-
(1999)
J. Math. Biol.
, vol.38
, pp. 262-284
-
-
Friedman, A.1
Reitich, F.2
-
36
-
-
4744350838
-
Mathematical analysis of some multi-dimensional tissue-growth models
-
doi:10.1017/S0956792504005480
-
King, J. R. & Franks, S. J. 2004 Mathematical analysis of some multi-dimensional tissue-growth models. Euro. J. Appl. Math. 15, 273-295. (doi:10.1017/S0956792504005480)
-
(2004)
Euro. J. Appl. Math.
, vol.15
, pp. 273-295
-
-
King, J.R.1
Franks, S.J.2
-
37
-
-
85093902822
-
Mathematical modelling of nutrient-limited tissue growth
-
doi:10.1007/978-3-7643-7719-9-27
-
King, J. R. & Franks, S. J. 2007 Mathematical modelling of nutrient-limited tissue growth. Int. Numer. Math. 154, 273-282. (doi:10.1007/978-3-7643-7719-9-27)
-
(2007)
Int. Numer. Math.
, vol.154
, pp. 273-282
-
-
King, J.R.1
Franks, S.J.2
-
38
-
-
85028003898
-
Stability properties of some tissue-growth models
-
(eds A. Deutsch, L. Brusch, H. Byrne & G. de Vries & H. Herzel), Boston: Birkhaeuser
-
King, J. R. & Franks, S. J. 2007 Stability properties of some tissue-growth models. In Mathematical modeling of biological systems, vol. I (eds A. Deutsch, L. Brusch, H. Byrne & G. de Vries & H. Herzel), pp. 175-182. Boston: Birkhaeuser.
-
(2007)
Mathematical Modeling of Biological Systems
, vol.1
, pp. 175-182
-
-
King, J.R.1
Franks, S.J.2
-
39
-
-
0042562209
-
Interactions between a uniformly proliferating tumor and its surrounding: Uniform material properties
-
doi:10.1093/imammb/20.1.47
-
Franks, S. J. & King, J. R. 2003 Interactions between a uniformly proliferating tumor and its surrounding: uniform material properties. Math. Med. Biol. 20, 47-89. (doi:10.1093/imammb/20.1.47)
-
(2003)
Math. Med. Biol.
, vol.20
, pp. 47-89
-
-
Franks, S.J.1
King, J.R.2
-
40
-
-
0001944421
-
The theory of vector spherical harmonics
-
doi:10.1119/1.1933682
-
Hill, E. L. 1954 The theory of vector spherical harmonics. Am. J. Phys. 22, 211-214. (doi:10.1119/1.1933682)
-
(1954)
Am. J. Phys.
, vol.22
, pp. 211-214
-
-
Hill, E.L.1
-
41
-
-
0000786093
-
Spheroids in cancer research
-
Sutherland, R. M., Carlsson, J., Durand, R. E. & Yuhas, J. 1981 Spheroids in cancer research. Cancer Res. 41, 2980-2994.
-
(1981)
Cancer Res.
, vol.41
, pp. 2980-2994
-
-
Sutherland, R.M.1
Carlsson, J.2
Durand, R.E.3
Yuhas, J.4
-
42
-
-
0022596441
-
Influence of glucose and oxygen supply conditions on the oxygenation of multicellular spheroids
-
Mueller-Klieser, W., Freyer, J. P. & Sutherland, R. M. 1986 Influence of glucose and oxygen supply conditions on the oxygenation of multicellular spheroids. Br. J. Cancer 53, 345-353.
-
(1986)
Br. J. Cancer
, vol.53
, pp. 345-353
-
-
Mueller-Klieser, W.1
Freyer, J.P.2
Sutherland, R.M.3
-
43
-
-
0037144460
-
Oxygen-mediated regulation of tumor cell invasiveness. Involvement of a nitric oxide signaling pathway
-
doi:10.1074/jbc.M204529200
-
Postovit, L. M., Adams, M. A., Lash, G. E., Heaton, J. P. & Graham, C. H. 2002 Oxygen-mediated regulation of tumor cell invasiveness. Involvement of a nitric oxide signaling pathway. J. Biol. Chem. 277, 35730-35737. (doi:10.1074/jbc.M204529200)
-
(2002)
J. Biol. Chem.
, vol.277
, pp. 35730-35737
-
-
Postovit, L.M.1
Adams, M.A.2
Lash, G.E.3
Heaton, J.P.4
Graham, C.H.5
-
44
-
-
0003098343
-
An essay on the cohesion of fluids
-
doi:10.1098/rstl.1805.0005
-
Young, T. 1805 An essay on the cohesion of fluids. Phil. Trans. R. Soc. 95, 67-87. (doi:10.1098/rstl.1805.0005)
-
(1805)
Phil. Trans. R. Soc.
, vol.95
, pp. 67-87
-
-
Young, T.1
-
45
-
-
34250798594
-
Nonlinear three-dimensional simulation of solid tumor growth
-
Li, X., Cristini, V., Nie, Q. & Lowengrub, J. S. 2007 Nonlinear three-dimensional simulation of solid tumor growth. Disc. Dyn. Contin. Dyn. Syst. B 7, 581-604.
-
(2007)
Disc. Dyn. Contin. Dyn. Syst. B
, vol.7
, pp. 581-604
-
-
Li, X.1
Cristini, V.2
Nie, Q.3
Lowengrub, J.S.4
-
46
-
-
0003851729
-
-
New York, NY: Dover Publications
-
Abramowitz, M. & Stegun, I. A. (eds) 1972 Handbook of mathematical functions with formulas, graphs, and mathematical tables. New York, NY: Dover Publications.
-
(1972)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
-
-
Abramowitz, M.1
Stegun, I.A.2
-
47
-
-
34547807824
-
Computer simulation of glioma growth and morphology
-
doi:10.1016/j.neuroimage.2007.03.008
-
Frieboes, H. B., Lowengrub, J. S., Wise, S. M., Zheng, X., Macklin, P., Bearer, E. L. & Cristini, V. 2007 Computer simulation of glioma growth and morphology. NeuroImage 37, S59-S70. (doi:10.1016/j.neuroimage.2007.03.008)
-
(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
-
48
-
-
77952954625
-
Nonlinear simulations of three-dimensional multispecies tumor growth-II: Tumor invasion and angiogenesis
-
doi:10.1016/j.jtbi.2010.02.0236
-
Frieboes, H. B., Fang, J., Chuang, Y.-L., Wise, S. M., Lowengrub, J. S. & Cristini, V. 2010 Nonlinear simulations of three-dimensional multispecies tumor growth-II: tumor invasion and angiogenesis. J. Theor. Biol. (doi:10.1016/j.jtbi.2010.02.0236)
-
(2010)
J. Theor. Biol.
-
-
Frieboes, H.B.1
Fang, J.2
Chuang, Y.-L.3
Wise, S.M.4
Lowengrub, J.S.5
Cristini, V.6
-
49
-
-
46849083504
-
Three-dimensional multispecies nonlinear tumor growth I-model and numerical method
-
doi:10.1016/j.jtbi.2008.03.027
-
Wise, S. M., Lowengrub, J. S., Frieboes, H. B. & Cristini, V. 2008 Three-dimensional multispecies nonlinear tumor growth I-model and numerical method J. Theor. Biol. 253, 524-543. (doi:10.1016/j.jtbi.2008.03.027)
-
(2008)
J. Theor. Biol.
, vol.253
, pp. 524-543
-
-
Wise, S.M.1
Lowengrub, J.S.2
Frieboes, H.B.3
Cristini, V.4
-
50
-
-
66249101668
-
Multiparameter computational modeling of tumor invasion
-
doi:10.1158/0008-5472.CAN-08-3834
-
Bearer, E. L., Lowengrub, J. S., Frieboes, H. B., Chuang, Y. L., Jin, F., Wise, S. M., Ferrari, M., Agus, D. B. & Cristini, V. 2009 Multiparameter computational modeling of tumor invasion. Cancer Res. 69, 4493-4501. (doi:10.1158/0008-5472.CAN-08-3834)
-
(2009)
Cancer Res.
, vol.69
, pp. 4493-4501
-
-
Bearer, E.L.1
Lowengrub, J.S.2
Frieboes, H.B.3
Chuang, Y.L.4
Jin, F.5
Wise, S.M.6
Ferrari, M.7
Agus, D.B.8
Cristini, V.9
-
51
-
-
58349120594
-
Multiscale modelling and nonlinear simulation of vascular tumour growth
-
doi:10.1007/s00285-008-0216-9
-
Macklin, P., McDougall, S., Anderson, A. R. A., Chaplain, M. A. J., Cristini, V. & Lowengrub, J. 2009 Multiscale modelling and nonlinear simulation of vascular tumour growth. J. Math. Biol. 58, 765-798. (doi:10.1007/s00285-008-0216-9)
-
(2009)
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
-
52
-
-
64549103448
-
Solving PDEs in complex geometries: A diffuse domain approach
-
Li, X., Lowengrub, J. S., Ratz, A. & Voigt, A. 2009 Solving PDEs in complex geometries: a diffuse domain approach. Commun. Math. Sci. 7, 81-107.
-
(2009)
Commun. Math. Sci.
, vol.7
, pp. 81-107
-
-
Li, X.1
Lowengrub, J.S.2
Ratz, A.3
Voigt, A.4
-
53
-
-
67349121558
-
Cell adhesion mechanisms and elasto-viscoplastic mechanics of tumours
-
doi:10.1007/s10237-008-0145-y
-
Ambrosi, D. & Preziosi, L. 2009 Cell adhesion mechanisms and elasto-viscoplastic mechanics of tumours. Mech. Model. Mechanobiol. 8, 397-413. (doi:10.1007/s10237-008-0145-y)
-
(2009)
Mech. Model. Mechanobiol.
, vol.8
, pp. 397-413
-
-
Ambrosi, D.1
Preziosi, L.2
|