-
1
-
-
0021978223
-
Tumor angiogenesis
-
J. Folkman Tumor angiogenesis Adv. Cancer Res. 43 1985 175
-
(1985)
Adv. Cancer Res.
, vol.43
, pp. 175
-
-
Folkman, J.1
-
2
-
-
0023093713
-
Multicellular spheroids. A review on cellular aggregates in cancer research
-
W. Mueller-Klieser Multicellular spheroids. A review on cellular aggregates in cancer research J. Cancer Res. Clin. Oncol. 113 1987 101
-
(1987)
J. Cancer Res. Clin. Oncol.
, vol.113
, pp. 101
-
-
Mueller-Klieser, W.1
-
3
-
-
0008313578
-
General aspects of modeling tumor growth and immune response
-
J.A. Adam General aspects of modeling tumor growth and immune response J.A. Adam N. Bellomo A Survey of Models for Tumor-Immune System Dynamics 1997 Birkhäuser Boston 187
-
(1997)
, pp. 187
-
-
Adam, J.A.1
-
4
-
-
0033158956
-
A weakly nonlinear analysis of a model of avascular solid tumour growth
-
H.M. Byrne A weakly nonlinear analysis of a model of avascular solid tumour growth J. Math. Biol. 39 1999 59
-
(1999)
J. Math. Biol.
, vol.39
, pp. 59
-
-
Byrne, H.M.1
-
5
-
-
0033028947
-
Mathematical modelling of avascular-tumour growth II: Modelling growth saturation
-
J.P. Ward J.R. King Mathematical modelling of avascular-tumour growth II: Modelling growth saturation IMA J. Math. Appl. Med. Biol. 16 1999 171
-
(1999)
IMA J. Math. Appl. Med. Biol.
, vol.16
, pp. 171
-
-
Ward, J.P.1
King, J.R.2
-
6
-
-
0037299744
-
Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures
-
J.P. Ward J.R. King Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures Math. Biosci. 181 2003 177
-
(2003)
Math. Biosci.
, vol.181
, pp. 177
-
-
Ward, J.P.1
King, J.R.2
-
7
-
-
0034648765
-
Angiogenesis in cancer and other diseases
-
P. Carmeliet R.K. Jain Angiogenesis in cancer and other diseases Nature 249 2000 249
-
(2000)
Nature
, vol.249
, pp. 249
-
-
Carmeliet, P.1
Jain, R.K.2
-
9
-
-
0002335219
-
From mutation to metastasis: the mathematical modelling of the stages of tumour development
-
M.A.J. Chaplain From mutation to metastasis: the mathematical modelling of the stages of tumour development J.A. Adam N. Bellomo A Survey of Models for Tumor-Immune System Dynamics 1997 Birkhäuser Boston 187
-
(1997)
, pp. 187
-
-
Chaplain, M.A.J.1
-
10
-
-
0032170064
-
Continuous and discrete mathematical models of tumor-induced angiogenesis
-
A.R.A. Anderson M.A.J. Chaplain Continuous and discrete mathematical models of tumor-induced angiogenesis Bull. Math. Biol. 60 1998 857
-
(1998)
Bull. Math. Biol.
, vol.60
, pp. 857
-
-
Anderson, A.R.A.1
Chaplain, M.A.J.2
-
11
-
-
0033213978
-
Tumor development under angiogenic signalling: A dynamic theory of tumor growth, treatment response, and postvascular dormancy
-
P. Hahnfeldt D. Panigrahy J. Folkman L. Hlatky Tumor development under angiogenic signalling: A dynamic theory of tumor growth, treatment response, and postvascular dormancy Cancer Res. 59 1999 4770
-
(1999)
Cancer Res.
, vol.59
, pp. 4770
-
-
Hahnfeldt, P.1
Panigrahy, D.2
Folkman, J.3
Hlatky, L.4
-
12
-
-
0027970092
-
Angiostatin. A novel angiogenesis inhibitor that mediates the suppression of metastases by a Lewis lung carcinoma
-
M.S. O’Reilly L. Holmgren Y. Shing C. Chen R.A. Rosenthal M. Moses W.S. Lane Y. Cao E.H. Sage J. Folkman Angiostatin. A novel angiogenesis inhibitor that mediates the suppression of metastases by a Lewis lung carcinoma Cell 79 1994 315
-
(1994)
Cell
, vol.79
, pp. 315
-
-
O’Reilly, M.S.1
Holmgren, L.2
Shing, Y.3
Chen, C.4
Rosenthal, R.A.5
Moses, M.6
Lane, W.S.7
Cao, Y.8
Sage, E.H.9
Folkman, J.10
-
13
-
-
0031454617
-
Endostatin: an endogenous inhibitor of angiogenesis and tumor growth
-
M.S. O’Reilly T. Boehm Y. Shing N. Fukai G. Vasios W.S. Lane E. Flynn J.R. Birkhead B.R. Olsen J. Folkman Endostatin: an endogenous inhibitor of angiogenesis and tumor growth Cell 88 1977 277
-
(1977)
Cell
, vol.88
, pp. 277
-
-
O’Reilly, M.S.1
Boehm, T.2
Shing, Y.3
Fukai, N.4
Vasios, G.5
Lane, W.S.6
Flynn, E.7
Birkhead, J.R.8
Olsen, B.R.9
Folkman, J.10
-
14
-
-
0034161885
-
Local imbalance of proangiogenic and antiangiogenic factors: A potential mechanism of focal necrosis and dormancy in tumors
-
S. Ramanujan G.C. Koenig T.P. Padera B.R. Stoll R.K. Jain Local imbalance of proangiogenic and antiangiogenic factors: A potential mechanism of focal necrosis and dormancy in tumors Cancer Res. 60 2000 1442
-
(2000)
Cancer Res.
, vol.60
, pp. 1442
-
-
Ramanujan, S.1
Koenig, G.C.2
Padera, T.P.3
Stoll, B.R.4
Jain, R.K.5
-
15
-
-
0034422868
-
Advection–diffusion models for solid tumour evolution in vivo and related free boundary problems
-
E. De Angelis L. Preziosi Advection–diffusion models for solid tumour evolution in vivo and related free boundary problems Math. Models Methods Appl. Sci. 10 2000 379
-
(2000)
Math. Models Methods Appl. Sci.
, vol.10
, pp. 379
-
-
De Angelis, E.1
Preziosi, L.2
-
16
-
-
0036516794
-
Vascular tumor growth and treatment: Consequences of polyclonality, competition and dynamic vascular support
-
J.L. Jackson Vascular tumor growth and treatment: Consequences of polyclonality, competition and dynamic vascular support J. Math. Biol. 44 2002 201
-
(2002)
J. Math. Biol.
, vol.44
, pp. 201
-
-
Jackson, J.L.1
-
18
-
-
0037840352
-
A computer algorithm describing the process of vessel formation and maturation, and its use for predicting the effects of anti-angiogenic and anti-maturation therapy on vascular tumour growth
-
L. Arakelyan V. Vainstein Z. Agur A computer algorithm describing the process of vessel formation and maturation, and its use for predicting the effects of anti-angiogenic and anti-maturation therapy on vascular tumour growth Angiogenesis 5 2003 203
-
(2003)
Angiogenesis
, vol.5
, pp. 203
-
-
Arakelyan, L.1
Vainstein, V.2
Agur, Z.3
-
20
-
-
0037406640
-
Optimal scheduling of radiotherapy and angiogenic inhibitors
-
A. Ergun K. Camphausen L.M. Wein Optimal scheduling of radiotherapy and angiogenic inhibitors Bull. Math. Biol. 65 2003 407
-
(2003)
Bull. Math. Biol.
, vol.65
, pp. 407
-
-
Ergun, A.1
Camphausen, K.2
Wein, L.M.3
-
21
-
-
0031469819
-
Antiangiogenic therapy of experimental cancer does not induce acquired drug resistance
-
T. Boehm J. Folkman T. Browder M.S. O’Reilly Antiangiogenic therapy of experimental cancer does not induce acquired drug resistance Nature 390 1997 404
-
(1997)
Nature
, vol.390
, pp. 404
-
-
Boehm, T.1
Folkman, J.2
Browder, T.3
O’Reilly, M.S.4
-
22
-
-
0031443206
-
A cancer therapy resistant to resistance
-
R.S. Kerbel A cancer therapy resistant to resistance Nature 390 1997 335
-
(1997)
Nature
, vol.390
, pp. 335
-
-
Kerbel, R.S.1
-
24
-
-
0036225444
-
Continuous low-dose anti-angiogenic/metronomic chemotherapy: from the research laboratory into the oncology clinic
-
R.S. Kerbel G. Klement K.I. Pritchard B. Kamen Continuous low-dose anti-angiogenic/metronomic chemotherapy: from the research laboratory into the oncology clinic Ann. Oncol. 13 2002 12
-
(2002)
Ann. Oncol.
, vol.13
, pp. 12
-
-
Kerbel, R.S.1
Klement, G.2
Pritchard, K.I.3
Kamen, B.4
-
25
-
-
0035953488
-
Simple ODE models of tumor growth and anti-angiogenic or radiation treatment
-
R.K. Sachs L.R. Hlatky P. Hahnfeldt Simple ODE models of tumor growth and anti-angiogenic or radiation treatment Math. Comput. Mod. 33 2001 1297
-
(2001)
Math. Comput. Mod.
, vol.33
, pp. 1297
-
-
Sachs, R.K.1
Hlatky, L.R.2
Hahnfeldt, P.3
-
26
-
-
0000339051
-
A nonstandard resonance problem for ordinary differential equations
-
S. Ahmad A nonstandard resonance problem for ordinary differential equations Trans. Am. Math. Soc. 323 1991 857
-
(1991)
Trans. Am. Math. Soc.
, vol.323
, pp. 857
-
-
Ahmad, S.1
-
27
-
-
0030140255
-
A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
-
J.C. Panetta A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment Bull. Math. Biol. 88 1996 425
-
(1996)
Bull. Math. Biol.
, vol.88
, pp. 425
-
-
Panetta, J.C.1
-
28
-
-
0042834359
-
Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors
-
A. Lakmeche O. Arino Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors Nonlinear Anal.: Real World Appl. 2 2001 455
-
(2001)
Nonlinear Anal.: Real World Appl.
, vol.2
, pp. 455
-
-
Lakmeche, A.1
Arino, O.2
-
29
-
-
0014865863
-
Population kinetics of carcinoma cells, capillary endothelial cells, and fibroblasts in a transplanted mouse mammary tumor
-
I.F. Tannock Population kinetics of carcinoma cells, capillary endothelial cells, and fibroblasts in a transplanted mouse mammary tumor Cancer Res. 30 1970 2470
-
(1970)
Cancer Res.
, vol.30
, pp. 2470
-
-
Tannock, I.F.1
-
30
-
-
0020449692
-
Endothelial-cell proliferation in experimental tumours
-
J. Denekamp B. Hobson Endothelial-cell proliferation in experimental tumours Br. J. Cancer 46 1982 711
-
(1982)
Br. J. Cancer
, vol.46
, pp. 711
-
-
Denekamp, J.1
Hobson, B.2
-
31
-
-
84982614048
-
Proliferation kinetics of endothelial and tumour cells in three mouse mammary carcinomas
-
D.G. Hirst J. Denekamp B. Hobson Proliferation kinetics of endothelial and tumour cells in three mouse mammary carcinomas Cell Tissue Kinet. 15 1982 251
-
(1982)
Cell Tissue Kinet.
, vol.15
, pp. 251
-
-
Hirst, D.G.1
Denekamp, J.2
Hobson, B.3
-
32
-
-
77952672921
-
Convergence results and a Poincare’-Bendixson thricothomy for asymptotically autonomous differential equations
-
H.R. Thieme Convergence results and a Poincare’-Bendixson thricothomy for asymptotically autonomous differential equations J. Math. Biol. 30 1992 755
-
(1992)
J. Math. Biol.
, vol.30
, pp. 755
-
-
Thieme, H.R.1
-
33
-
-
0003804171
-
Stability and Asymptotic Behavior of Differential Equations
-
W.A. Coppel Stability and Asymptotic Behavior of Differential Equations 1965 D.C. Heath and Company Boston
-
(1965)
-
-
Coppel, W.A.1
-
34
-
-
0037458325
-
Minimizing long-term tumor burden: the logic for metronomic chemotherapeutic dosing and its antiangiogenic basis
-
P. Hahnfeldt J. Folkman L. Hlatky Minimizing long-term tumor burden: the logic for metronomic chemotherapeutic dosing and its antiangiogenic basis J. Theor. Biol. 220 2003 545
-
(2003)
J. Theor. Biol.
, vol.220
, pp. 545
-
-
Hahnfeldt, P.1
Folkman, J.2
Hlatky, L.3
-
35
-
-
0022034201
-
Mathematical model of cancer chemotherapy, Periodic schedules of phase-specific cytotoxic-agents administration increasing the selectivity of therapy
-
B.F. Dibrov A.M. Zhabotinsky M.P. Neyfakh M.P. Orlova L.I. Churykova Mathematical model of cancer chemotherapy, Periodic schedules of phase-specific cytotoxic-agents administration increasing the selectivity of therapy Math. Biosci. 73 1985 1
-
(1985)
Math. Biosci.
, vol.73
, pp. 1
-
-
Dibrov, B.F.1
Zhabotinsky, A.M.2
Neyfakh, M.P.3
Orlova, M.P.4
Churykova, L.I.5
-
36
-
-
0023803541
-
Reduction of cytotoxicity to normal tissue by new regimens of phase-specific drugs
-
Z. Agur R. Arnon B. Schachter Reduction of cytotoxicity to normal tissue by new regimens of phase-specific drugs Math. Biosci. 92 1988 1
-
(1988)
Math. Biosci.
, vol.92
, pp. 1
-
-
Agur, Z.1
Arnon, R.2
Schachter, B.3
-
37
-
-
0029938149
-
Optimal control problems arising in cell-cycle-specific cancer chemotherapy
-
A. Swierniak A. Polanski M. Kimmel Optimal control problems arising in cell-cycle-specific cancer chemotherapy Cell Prolif. 29 1996 117
-
(1996)
Cell Prolif.
, vol.29
, pp. 117
-
-
Swierniak, A.1
Polanski, A.2
Kimmel, M.3
-
38
-
-
0033580889
-
Vessel cooption, regression, and growth in tumors mediated by angiopoietins and VEGF
-
J. Holash P.C. Maisonpierre D. Compton P. Boland C.R. Alexander D. Zagzag G.D. Yancopoulos S.J. Wiegand Vessel cooption, regression, and growth in tumors mediated by angiopoietins and VEGF Science 284 1999 1994
-
(1999)
Science
, vol.284
, pp. 1994
-
-
Holash, J.1
Maisonpierre, P.C.2
Compton, D.3
Boland, P.4
Alexander, C.R.5
Zagzag, D.6
Yancopoulos, G.D.7
Wiegand, S.J.8
-
39
-
-
0041426312
-
Regression and regrowth of tumour cords following single-dose anticancer treatment
-
A. Bertuzzi A. d’Onofrio A. Fasano A. Gandolfi Regression and regrowth of tumour cords following single-dose anticancer treatment Bull. Math. Biol. 65 2003 903
-
(2003)
Bull. Math. Biol.
, vol.65
, pp. 903
-
-
Bertuzzi, A.1
d’Onofrio, A.2
Fasano, A.3
Gandolfi, A.4
|