-
1
-
-
0023518620
-
A mathematical model of tumour growth. II Effects of geometry and spatial uniformity on stability
-
Adam, J.A.: A mathematical model of tumour growth. II Effects of geometry and spatial uniformity on stability. Math. Biosci. 86, 183-211 (1987)
-
(1987)
Math. Biosci.
, vol.86
, pp. 183-211
-
-
Adam, J.A.1
-
2
-
-
0032170064
-
Continuous and discrete mathematical models of tumour-induced angiogenesis
-
Anderson, A.R.A., Chaplain, M.A.J.: Continuous and discrete mathematical models of tumour-induced angiogenesis. Bull. Math. Biol. 60, 857-899 (1998)
-
(1998)
Bull. Math. Biol.
, vol.60
, pp. 857-899
-
-
Anderson, A.R.A.1
Chaplain, M.A.J.2
-
3
-
-
0003423425
-
-
Chapter 7, John Wiley & Sons
-
Bird, R.B. Armstrong, R.C., Hassager, O.: Dynamics of polymeric liquids, Chapter 7, John Wiley & Sons, 1977
-
(1977)
Dynamics of Polymeric Liquids
-
-
Bird, R.B.1
Armstrong, R.C.2
Hassager, O.3
-
4
-
-
0031013074
-
Traction forces of cytokinesis measured in optically modified elastic substrata
-
Burton, K., Taylor, D.L.: Traction forces of cytokinesis measured in optically modified elastic substrata. Nature, 385, 450-454
-
Nature
, vol.385
, pp. 450-454
-
-
Burton, K.1
Taylor, D.L.2
-
5
-
-
0029294735
-
Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions
-
Byrne, H.M., Chaplain, M.A.J.: Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions. Bull. Math. Biol. 57, 461-486 (1995)
-
(1995)
Bull. Math. Biol.
, vol.57
, pp. 461-486
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
6
-
-
0030431867
-
Modelling the role of cell-cell adhesion in the growth and development of carcinomas
-
Byrne, H.M., Chaplain, M.A.J.: Modelling the role of cell-cell adhesion in the growth and development of carcinomas. Math. Comput. Modell. 24, 1-17 (1996)
-
(1996)
Math. Comput. Modell.
, vol.24
, pp. 1-17
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
7
-
-
0003169993
-
Necrosis and apoptosis: Distinct cell loss mechanisms in a mathematical model of avascular tumour growth
-
Byrne, H.M., Chaplain, M.A.J.: Necrosis and apoptosis: distinct cell loss mechanisms in a mathematical model of avascular tumour growth. J. Theor. Med. 1, 223-235 (1998)
-
(1998)
J. Theor. Med.
, vol.1
, pp. 223-235
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
8
-
-
0027437155
-
Modelling the growth of solid tumours incorporating a method for their classification using non-linear elasticity theory
-
Chaplain, M.A.J., Sleeman, B.D.: Modelling the growth of solid tumours incorporating a method for their classification using non-linear elasticity theory. J. Math. Biol. 31, 431-473 (1993)
-
(1993)
J. Math. Biol.
, vol.31
, pp. 431-473
-
-
Chaplain, M.A.J.1
Sleeman, B.D.2
-
9
-
-
0030900427
-
A model for the volumetric growth of a soft tissue
-
Drozdov, A.D., Khanina, H.: A model for the volumetric growth of a soft tissue. Math. Comput. Modell. 25, 11-29 (1997)
-
(1997)
Math. Comput. Modell.
, vol.25
, pp. 11-29
-
-
Drozdov, A.D.1
Khanina, H.2
-
10
-
-
0002626182
-
Angiogenesis and inflammation
-
(eds. Gallin, J.I., Goldstein, I.M., Snyderman, R.). New York: Raven Press
-
Folkman, H., Brem, H.: Angiogenesis and inflammation. In: Inflammation: Basic Principles and Clinical Correlates, Second Edition, (eds. Gallin, J.I., Goldstein, I.M., Snyderman, R.). New York: Raven Press (1992)
-
(1992)
Inflammation: Basic Principles and Clinical Correlates, Second Edition
-
-
Folkman, H.1
Brem, H.2
-
11
-
-
0015804548
-
Self-regulation of growth in three dimensions
-
Folkman, J., Hochberg, M.: Self-regulation of growth in three dimensions. J. Exp. Med. 138, 745-753 (1973)
-
(1973)
J. Exp. Med.
, vol.138
, pp. 745-753
-
-
Folkman, J.1
Hochberg, M.2
-
12
-
-
0033094895
-
Analysis of a mathematical model for the growth of tumours
-
Friedman, A., Reitich, F.: Analysis of a mathematical model for the growth of tumours. J. Math. Biol. 38, 262-284 (1999)
-
(1999)
J. Math. Biol.
, vol.38
, pp. 262-284
-
-
Friedman, A.1
Reitich, F.2
-
13
-
-
0030025773
-
Hypoxia-mediated selection of cells with diminished apoptotic potential in solid tumours
-
Graeber, T.G., Osmanianm, C., Jacks, T., Housman, D.E., Koch, C.J., Lowe, S.W., Giaccia, A.J.: Hypoxia-mediated selection of cells with diminished apoptotic potential in solid tumours. Nature 379, 88-91 (1996)
-
(1996)
Nature
, vol.379
, pp. 88-91
-
-
Graeber, T.G.1
Osmanianm, C.2
Jacks, T.3
Housman, D.E.4
Koch, C.J.5
Lowe, S.W.6
Giaccia, A.J.7
-
14
-
-
0000128125
-
Models for the growth of a solid tumour by diffusion
-
Greenspan, H.P.: Models for the growth of a solid tumour by diffusion. Stud. Appl. Math. 52, 317-340 (1972)
-
(1972)
Stud. Appl. Math.
, vol.52
, pp. 317-340
-
-
Greenspan, H.P.1
-
15
-
-
0030744722
-
Solid stress inhibits the growth of multicellular tumour spheroids
-
Helmlinger, G., Netti, P.A., Lichtenbeld, H.C., Melder, R.J., Jain, R.K.: Solid stress inhibits the growth of multicellular tumour spheroids. Nature Biotech. 15, 778-783 (1997)
-
(1997)
Nature Biotech.
, vol.15
, pp. 778-783
-
-
Helmlinger, G.1
Netti, P.A.2
Lichtenbeld, H.C.3
Melder, R.J.4
Jain, R.K.5
-
16
-
-
0002159919
-
Development and validation of a mathematical model to describe anti-cancer prodrug activation by antibody-enzyme conjugates
-
To appear
-
Jackson, T.L., Senter, P.D., Murray, J.D.: Development and validation of a mathematical model to describe anti-cancer prodrug activation by antibody-enzyme conjugates, J. Theor. Med. (To appear, 1999)
-
(1999)
J. Theor. Med.
-
-
Jackson, T.L.1
Senter, P.D.2
Murray, J.D.3
-
17
-
-
0015117787
-
Shrinkage necrosis; a distinct mode of cellular death
-
Kerr, J.F.R.: Shrinkage necrosis; a distinct mode of cellular death. J. Path. 105, 13-20 (1971)
-
(1971)
J. Path.
, vol.105
, pp. 13-20
-
-
Kerr, J.F.R.1
-
18
-
-
0015383455
-
Apoptosis: A basic biological phenomenon with wide-ranging implications in tissue kinetics
-
Kerr, J.F.R., Wyllie, A.H., Currie, A.R.: Apoptosis: a basic biological phenomenon with wide-ranging implications in tissue kinetics. Br. J. Cancer 26, 239-257 (1972)
-
(1972)
Br. J. Cancer
, vol.26
, pp. 239-257
-
-
Kerr, J.F.R.1
Wyllie, A.H.2
Currie, A.R.3
-
19
-
-
33747588471
-
Tumour dynamics and necrosis: Surface tension and stability
-
submitted
-
Landman, K.A., Please, C.P.: Tumour dynamics and necrosis: surface tension and stability. J. Theor. Med. (submitted)
-
J. Theor. Med.
-
-
Landman, K.A.1
Please, C.P.2
-
20
-
-
0017806209
-
Apoptosis as a volume loss mechanism in mathematical models of solid tumour growth
-
McElwain, D.L.S., Morris, L.E.: Apoptosis as a volume loss mechanism in mathematical models of solid tumour growth. Math. Biosci. 39, 147-157 (1978)
-
(1978)
Math. Biosci.
, vol.39
, pp. 147-157
-
-
McElwain, D.L.S.1
Morris, L.E.2
-
22
-
-
0019997015
-
Tumor-induced neovascularisation in the mouse eye
-
Muthukkaruppan, V.R., Kubai, L., Auerbach, R.: Tumor-induced neovascularisation in the mouse eye. J. Natn. Cancer Inst. 69, 699-705 (1982)
-
(1982)
J. Natn. Cancer Inst.
, vol.69
, pp. 699-705
-
-
Muthukkaruppan, V.R.1
Kubai, L.2
Auerbach, R.3
-
23
-
-
0031230846
-
Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies
-
Orme, M.E., Chaplain, M.A.J.: Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies. IMA J. Math. Appl. Med. Biol. 14, 189-205 (1997)
-
(1997)
IMA J. Math. Appl. Med. Biol.
, vol.14
, pp. 189-205
-
-
Orme, M.E.1
Chaplain, M.A.J.2
-
25
-
-
0032767250
-
Extracellular matrix concentration exerts selection pressure on invasive cells
-
in press
-
Perumpanani, A.J., Byrne, H.M.: Extracellular matrix concentration exerts selection pressure on invasive cells, Eur. J. Cancer (in press)
-
Eur. J. Cancer
-
-
Perumpanani, A.J.1
Byrne, H.M.2
-
26
-
-
0002498348
-
A new approach to modelling the formation of necrotic regions in tumours
-
Please, C.P., Pettet, G.J., McElwain, D.L.S.: A new approach to modelling the formation of necrotic regions in tumours. Appl. Math. Lett. 11, 89-94 (1998)
-
(1998)
Appl. Math. Lett.
, vol.11
, pp. 89-94
-
-
Please, C.P.1
Pettet, G.J.2
McElwain, D.L.S.3
-
28
-
-
0026773381
-
Oncogenes, antioncogenes and the immune-response to cancer - A mathematical model
-
Sherratt, J.A., Nowak, M.A.: Oncogenes, antioncogenes and the immune-response to cancer - a mathematical model. Proc. Roy. Soc. Ser. B 248, 261-271 (1992)
-
(1992)
Proc. Roy. Soc. Ser. B
, vol.248
, pp. 261-271
-
-
Sherratt, J.A.1
Nowak, M.A.2
-
29
-
-
0026875464
-
Multiphase poroelastic finite element models for soft tissue structures
-
Simon, B.R.: Multiphase poroelastic finite element models for soft tissue structures. Appl. Mech. Rev. 45, 191-218 (1992)
-
(1992)
Appl. Mech. Rev.
, vol.45
, pp. 191-218
-
-
Simon, B.R.1
-
30
-
-
0029679856
-
Compatability and the genesis of residual stress by volumetric growth
-
Skalak, R., Zargaryan, S., Jain, R.K., Netti, P.A., Hoger, A.: Compatability and the genesis of residual stress by volumetric growth. J. Math. Biol. 34, 889-914 (1996)
-
(1996)
J. Math. Biol.
, vol.34
, pp. 889-914
-
-
Skalak, R.1
Zargaryan, S.2
Jain, R.K.3
Netti, P.A.4
Hoger, A.5
-
31
-
-
0031777161
-
Fluid transport in vascularized tumours and metastasis
-
Sleeman, B.D., Nimmo, H.R.: Fluid transport in vascularized tumours and metastasis. IMA J. Math. Appl. Med. Biol. 15, 53-63 (1997)
-
(1997)
IMA J. Math. Appl. Med. Biol.
, vol.15
, pp. 53-63
-
-
Sleeman, B.D.1
Nimmo, H.R.2
-
34
-
-
0024281372
-
Cell and environment interactions in tumor microregions: The multicell spheroid model
-
Sutherland, R.M.: Cell and environment interactions in tumor microregions: the multicell spheroid model. Science 240, 177-184 (1988)
-
(1988)
Science
, vol.240
, pp. 177-184
-
-
Sutherland, R.M.1
-
35
-
-
33747622031
-
Modelling the internalisation of labelled cells in multicellular spheroids
-
Thompson, K.E., Byrne, H.M.: Modelling the internalisation of labelled cells in multicellular spheroids. Bull. Math. Biol. 61, 1-23 (1999)
-
(1999)
Bull. Math. Biol.
, vol.61
, pp. 1-23
-
-
Thompson, K.E.1
Byrne, H.M.2
-
36
-
-
0031087466
-
Mathematical modelling of avascular tumour growth
-
Ward, J.P., King, J.R.: Mathematical modelling of avascular tumour growth. IMA J. Math. Appl. Med. Biol. 14, 39-69 (1997)
-
(1997)
IMA J. Math. Appl. Med. Biol.
, vol.14
, pp. 39-69
-
-
Ward, J.P.1
King, J.R.2
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