-
1
-
-
0022799748
-
A simplified mathematical model of tumor growth
-
Adam, J.: A simplified mathematical model of tumor growth. Math. Biosci. 81, 224-229 (1986)
-
(1986)
Math. Biosci.
, vol.81
, pp. 224-229
-
-
Adam, J.1
-
2
-
-
0038384640
-
A free boundary problem for an elliptic-parabolic system: Application to a model of tumor growth
-
To appear
-
Bazaliy, B.V., Friedman, A.: A free boundary problem for an elliptic-parabolic system: Application to a model of tumor growth. Commun. PDE, 2003. To appear
-
(2003)
Commun. PDE
-
-
Bazaliy, B.V.1
Friedman, A.2
-
3
-
-
1042275700
-
Global existence and stability for an elliptic-parabolic free boundary problem; An application to a model of tumor growth
-
To appear
-
Bazaliy, B.V., Friedman, A.: Global existence and stability for an elliptic-parabolic free boundary problem; An application to a model of tumor growth. Indian Univ. Math. J. To appear
-
Indian Univ. Math. J.
-
-
Bazaliy, B.V.1
Friedman, A.2
-
4
-
-
0344188096
-
An adenovirus mutant that replicates selectively in p53-deficient human tumor cells
-
Bischoff, J.R.: et al, An adenovirus mutant that replicates selectively in p53-deficient human tumor cells. Science 274, 373-376 (1996)
-
(1996)
Science
, vol.274
, pp. 373-376
-
-
Bischoff, J.R.1
-
5
-
-
0027395356
-
A qualitative analysis of some models of tissue growth
-
Britton, N., Chaplain, M.: A qualitative analysis of some models of tissue growth. Math. Biosci. 113, 77-89 (1993)
-
(1993)
Math. Biosci.
, vol.113
, pp. 77-89
-
-
Britton, N.1
Chaplain, M.2
-
6
-
-
0033158956
-
A weakly nonlinear analysis of a model of vascular solid tumour growth
-
Byrne, H.M.: A weakly nonlinear analysis of a model of vascular solid tumour growth. J. Math. Biol. (39), 59-89
-
J. Math. Biol.
, Issue.39
, pp. 59-89
-
-
Byrne, H.M.1
-
7
-
-
1042298948
-
Growth of nonnecrotic tumours in the presence and absence of inhibitors
-
Byrne, H.M., Chaplain, M.A.J.: Growth of nonnecrotic tumours in the presence and absence of inhibitors. Math. Biosciences 181, 130-151 (1995)
-
(1995)
Math. Biosciences
, vol.181
, pp. 130-151
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
8
-
-
0030586186
-
Growth of necrotic tumors in the presence and absence of inhibitors
-
Byrne, H., Chaplain, M.: Growth of necrotic tumors in the presence and absence of inhibitors. Math. Biosci. 135, 187-216 (1996)
-
(1996)
Math. Biosci.
, vol.135
, pp. 187-216
-
-
Byrne, H.1
Chaplain, M.2
-
9
-
-
0031320752
-
Free boundary value problems associated with growth and development of multicellular spheroids
-
Byrne, H.M., Chaplain, M.A.J.: Free boundary value problems associated with growth and development of multicellular spheroids. European J. Appl. Math. 8, 639-358 (1997)
-
(1997)
European J. Appl. Math.
, vol.8
, pp. 639-1358
-
-
Byrne, H.M.1
Chaplain, M.A.J.2
-
12
-
-
0032515141
-
Reovirus therapy of tumors with activated Ras pathways
-
Coffey, M.C., Strong, J.E., Forsyth, P.A., Lee, P.W.K.: Reovirus therapy of tumors with activated Ras pathways. Science 282, 1332-1334 (1998)
-
(1998)
Science
, vol.282
, pp. 1332-1334
-
-
Coffey, M.C.1
Strong, J.E.2
Forsyth, P.A.3
Lee, P.W.K.4
-
13
-
-
0034040582
-
Analysis of a mathematical model of the effect of inhibitors on the growth of tumors
-
Cui, S., Friedman, A.: Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Math. Biosci. 164, 103-137 (2000)
-
(2000)
Math. Biosci.
, vol.164
, pp. 103-137
-
-
Cui, S.1
Friedman, A.2
-
14
-
-
0035869870
-
Analysis of a mathematical model of the growth of necrotic tumors
-
Cui, S., Friedman, A.: Analysis of a mathematical model of the growth of necrotic tumors. J. Math. Anal. Appl. 255, 636-677 (2001)
-
(2001)
J. Math. Anal. Appl.
, vol.255
, pp. 636-677
-
-
Cui, S.1
Friedman, A.2
-
15
-
-
0042363716
-
A free boundary problem for a singular system of differential equations: An application to a model of tumor growth
-
To appear
-
Cui, S., Friedman, A.: A free boundary problem for a singular system of differential equations: An application to a model of tumor growth. Trans. Amer. Math. Soc. To appear
-
Trans. Amer. Math. Soc.
-
-
Cui, S.1
Friedman, A.2
-
19
-
-
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. 38, 262-284 (1999)
-
(1999)
J. Math. Biol.
, vol.38
, pp. 262-284
-
-
Friedman, A.1
Reitich, F.2
-
20
-
-
0242588180
-
Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
-
Friedman, A., Reitich, F.: Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth. Trans. Amer. Math. Soc. 353, 1587-1634 (2000)
-
(2000)
Trans. Amer. Math. Soc.
, vol.353
, pp. 1587-1634
-
-
Friedman, A.1
Reitich, F.2
-
21
-
-
1042298945
-
On the existence of spatially patterned dormant malignancies in a model for the growth of non-necrotic vascular tumor
-
Friedman, A., Reitich, F.: On the existence of spatially patterned dormant malignancies in a model for the growth of non-necrotic vascular tumor. Math. Models and Methods in Appl. Sciences 77, 1-25 (2001)
-
(2001)
Math. Models and Methods in Appl. Sciences
, vol.77
, pp. 1-25
-
-
Friedman, A.1
Reitich, F.2
-
22
-
-
0000128125
-
Models for the growth of solid tumor by diffusion
-
Greenspan, H.: Models for the growth of solid tumor by diffusion. Stud. Appl. Math 51, 317-340 (1972)
-
(1972)
Stud. Appl. Math
, vol.51
, pp. 317-340
-
-
Greenspan, H.1
-
23
-
-
0017198676
-
On the growth and stability of cell cultures and solid tumors
-
Greenspan, H.: On the growth and stability of cell cultures and solid tumors. J. Theor. Biol. 56, 229-242 (1976)
-
(1976)
J. Theor. Biol.
, vol.56
, pp. 229-242
-
-
Greenspan, H.1
-
24
-
-
0030917202
-
ONYX-015, an E1B gene-attenuated adenovirus, causes tumor-specific cytolysis and antitumoral efficacy that can be augmented by standard chemotherapeutic agents
-
Heise, C., Sampson-Johannes, A., Williams, A., McCormick, F., Von Hoff, D.D., Kirn, D.H.: ONYX-015, an E1B gene-attenuated adenovirus, causes tumor-specific cytolysis and antitumoral efficacy that can be augmented by standard chemotherapeutic agents. Nature Med. 3, 639-645 (1997)
-
(1997)
Nature Med.
, vol.3
, pp. 639-645
-
-
Heise, C.1
Sampson-Johannes, A.2
Williams, A.3
McCormick, F.4
Von Hoff, D.D.5
Kirn, D.H.6
-
25
-
-
0028470454
-
Barriers to drug delivery in solid tumors
-
Jain, R.: Barriers to drug delivery in solid tumors. Sci. Am. 271, 58-65 (1994)
-
(1994)
Sci. Am.
, vol.271
, pp. 58-65
-
-
Jain, R.1
-
26
-
-
0003223550
-
Linear and Quasi-Linear Equations of Parabolic Type
-
American Mathematics Society, Providence, RI
-
Ladyzenskaja, O.A., Solonnikov, V.A., Ural'ceva, N.N.: Linear and Quasi-Linear Equations of Parabolic Type. Amer. Math. Soc. Transl., Vol. 23, American Mathematics Society, Providence, RI, 1968
-
(1968)
Amer. Math. Soc. Transl.
, vol.23
-
-
Ladyzenskaja, O.A.1
Solonnikov, V.A.2
Ural'ceva, N.N.3
-
28
-
-
0026481624
-
The spread of a parasitic infection in a spatially distributed host
-
Oelschläger, K.: The spread of a parasitic infection in a spatially distributed host. J. Math. Biol. 30, 321-354 (1992)
-
(1992)
J. Math. Biol.
, vol.30
, pp. 321-354
-
-
Oelschläger, K.1
-
29
-
-
0034977131
-
The migration of cells in multicell tumor spheroids
-
Pettet, G., Please, C.P., Tindall, M.J., McElwain, D.: The migration of cells in multicell tumor spheroids. Bull. Math. Biol. 63, 231-257 (2001)
-
(2001)
Bull. Math. Biol.
, vol.63
, pp. 231-257
-
-
Pettet, G.1
Please, C.P.2
Tindall, M.J.3
McElwain, D.4
-
30
-
-
0030790684
-
Prostate attenuated replication competent adenovirus (ARCA) CN706: A selective cytotoxic for prostate-specific antigen-positive prostate cancer cells
-
Rodriguez, R., Schuur, E.R., Lim, H.Y., Henderson, G.A., Simons, J.W., Henderson, D.R.: Prostate attenuated replication competent adenovirus (ARCA) CN706: a selective cytotoxic for prostate-specific antigen-positive prostate cancer cells. Cancer Res. 57, 2559-2563 (1997)
-
(1997)
Cancer Res.
, vol.57
, pp. 2559-2563
-
-
Rodriguez, R.1
Schuur, E.R.2
Lim, H.Y.3
Henderson, G.A.4
Simons, J.W.5
Henderson, D.R.6
-
31
-
-
0035480791
-
A new mathematical model for avascular tumor growth
-
Sherrat, J., Chaplain, M.: A new mathematical model for avascular tumor growth. J. Math. Biol. 43, 291-312 (2001)
-
(2001)
J. Math. Biol.
, vol.43
, pp. 291-312
-
-
Sherrat, J.1
Chaplain, M.2
-
32
-
-
0016277217
-
Diffusion and convection in normal and neoplastic tissues
-
Swabb, E.A., Wei, J., Gullino, P.M.: Diffusion and convection in normal and neoplastic tissues. Cancer Res. 34, 2814-2822 (1974)
-
(1974)
Cancer Res.
, vol.34
, pp. 2814-2822
-
-
Swabb, E.A.1
Wei, J.2
Gullino, P.M.3
-
33
-
-
0002484583
-
Mathematical modelling of avascular-tumor growth II: Modelling growth saturation
-
Ward, J.P., King, J.R.: Mathematical modelling of avascular-tumor growth II: Modelling growth saturation. IMA J. Math. Appl. Med. Biol. 15, 1-42 (1998)
-
(1998)
IMA J. Math. Appl. Med. Biol.
, vol.15
, pp. 1-42
-
-
Ward, J.P.1
King, J.R.2
-
34
-
-
0034905801
-
Modeling and analysis of a virus that replicates selectively in tumor cells
-
Wu, J.T., Byrne, H.M., Kirn, D.H., Wein, L.M.: Modeling and analysis of a virus that replicates selectively in tumor cells. Bull. Math. Biol. 63, 731-768 (2001)
-
(2001)
Bull. Math. Biol.
, vol.63
, pp. 731-768
-
-
Wu, J.T.1
Byrne, H.M.2
Kirn, D.H.3
Wein, L.M.4
-
35
-
-
0032471162
-
Cancer gene therapy using a replication-competent herpes simplex virus type I vector
-
Yoon, S.S., Carroll, N.M., Chiocca, E.A., Tanabe, K.K.: Cancer gene therapy using a replication-competent herpes simplex virus type I vector. Ann. Surg. 228, 366-374 (1998)
-
(1998)
Ann. Surg.
, vol.228
, pp. 366-374
-
-
Yoon, S.S.1
Carroll, N.M.2
Chiocca, E.A.3
Tanabe, K.K.4
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