-
1
-
-
1042279443
-
Hopf point analysis for angiogenesis models
-
AGUR, Z., ARAKELYAN, L., DAUGULIS, P. & GINOSAR, Y. (2004) Hopf point analysis for angiogenesis models. Discrete Continuous Dyn. Syst. Ser. B, 4, 29-38.
-
(2004)
Discrete Continuous Dyn. Syst. Ser. B
, vol.4
, pp. 29-38
-
-
Agur, Z.1
Arakelyan, L.2
Daugulis, P.3
Ginosar, Y.4
-
2
-
-
0032170064
-
Continuous and discrete mathematical models of tumor-induced angiogenesis
-
ANDERSON, A. & CHAPLAIN, M. (1998) Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull. Math. Biol., 60, 857-899.
-
(1998)
Bull. Math. Biol.
, vol.60
, pp. 857-899
-
-
Anderson, A.1
Chaplain, M.2
-
3
-
-
0033752985
-
A gradient-driven mathematical model of anti-angiogenesis
-
ANDERSON, A., CHAPLAIN, M., GARCIA-REIMBERT, M. & VARGAS, C. (2000) A gradient-driven mathematical model of anti-angiogenesis. Math. Comput. Model., 32, 1141-1152.
-
(2000)
Math. Comput. Model.
, vol.32
, pp. 1141-1152
-
-
Anderson, A.1
Chaplain, M.2
Garcia-Reimbert, M.3
Vargas, C.4
-
4
-
-
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
-
ARAKELYAN, L., VAINSTAIN, V. & AGUR, Z. (2003) 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, 203ff.
-
(2003)
Angiogenesis
, vol.5
-
-
Arakelyan, L.1
Vainstain, V.2
Agur, Z.3
-
5
-
-
0031469819
-
Antiangiogenic therapy of experimental cancer does not induce acquired drug resistance
-
BOEHM, T., FOLKMAN, J., BROWDER, T. & O'REILLY, M. S. (1997) Antiangiogenic therapy of experimental cancer does not induce acquired drug resistance. Nature, 390, 404ff.
-
(1997)
Nature
, vol.390
-
-
Boehm, T.1
Folkman, J.2
Browder, T.3
O'reilly, M.S.4
-
6
-
-
11844254028
-
Singular Trajectories and their Role in Control Theory
-
Paris, France: Springer
-
BONNARD, B. & CHYBA, M. (2003) Singular Trajectories and their Role in Control Theory. Mathématiques & Applications, vol. 40. Paris, France: Springer.
-
(2003)
Mathématiques & Applications
, vol.40
-
-
Bonnard, B.1
Chyba, M.2
-
9
-
-
0030404170
-
The mathematical modelling, simulation and prediction of tumourinduced angiogenesis
-
CHAPLAIN, M. & ANDERSON, A. (1997) The mathematical modelling, simulation and prediction of tumourinduced angiogenesis. Invasion Metastasis, 16, 222-234.
-
(1997)
Invasion Metastasis
, vol.16
, pp. 222-234
-
-
Chaplain, M.1
Anderson, A.2
-
10
-
-
4444221249
-
Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al
-
D'ONOFRIO, A. & GANDOLFI, A. (2004) Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. Math. Biosci., 191, 159-184.
-
(2004)
Math. Biosci.
, vol.191
, pp. 159-184
-
-
D'onofrio, A.1
Gandolfi, A.2
-
11
-
-
33750446670
-
The response to antiangiogenic anticancer drugs that inhibit endothelial cell proliferation
-
D'ONOFRIO, A. & GANDOLFI, A. (2006) The response to antiangiogenic anticancer drugs that inhibit endothelial cell proliferation. Appl. Math. Comput., 181, 1155-1162.
-
(2006)
Appl. Math. Comput.
, vol.181
, pp. 1155-1162
-
-
D'onofrio, A.1
Gandolfi, A.2
-
12
-
-
0037406640
-
Optimal scheduling of radiotherapy and angiogenic inhibitors
-
ERGUN, A., CAMPHAUSEN, K. & WEIN, L. M. (2003) Optimal scheduling of radiotherapy and angiogenic inhibitors. Bull. Math. Biol., 65, 407-424.
-
(2003)
Bull. Math. Biol.
, vol.65
, pp. 407-424
-
-
Ergun, A.1
Camphausen, K.2
Wein, L.M.3
-
14
-
-
0015311426
-
Antiangiogenesis: new concept for therapy of solid tumors
-
FOLKMAN, J. (1972) Antiangiogenesis: new concept for therapy of solid tumors. Ann. Surg., 175, 409-416.
-
(1972)
Ann. Surg.
, vol.175
, pp. 409-416
-
-
Folkman, J.1
-
15
-
-
0029171892
-
Angiogenesis inhibitors generated by tumors
-
FOLKMAN, J. (1995) Angiogenesis inhibitors generated by tumors. Mol. Med., 1, 120-122.
-
(1995)
Mol. Med.
, vol.1
, pp. 120-122
-
-
Folkman, J.1
-
16
-
-
34247401423
-
Critical-point analysis for three-variable cancer angiogenesis models
-
FORYS, U., KEIFETZ, Y. & KOGAN, Y. (2005) Critical-point analysis for three-variable cancer angiogenesis models. Math. Biosci. Eng., 2, 511-525.
-
(2005)
Math. Biosci. Eng.
, vol.2
, pp. 511-525
-
-
Forys, U.1
Keifetz, Y.2
Kogan, Y.3
-
17
-
-
0033213978
-
Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy
-
HAHNFELDT, P., PANIGRAHY, D., FOLKMAN, J. & HLATKY, L. (1999) Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy. Cancer Res., 59, 4770-4775.
-
(1999)
Cancer Res
, vol.59
, pp. 4770-4775
-
-
Hahnfeldt, P.1
Panigrahy, D.2
Folkman, J.3
Hlatky, L.4
-
18
-
-
0031443206
-
A cancer therapy resistant to resistance
-
KERBEL, R. S. (1997) A cancer therapy resistant to resistance. Nature, 390, 335-336.
-
(1997)
Nature
, vol.390
, pp. 335-336
-
-
Kerbel, R.S.1
-
19
-
-
0034092011
-
Tumor angiogenesis: past, present and near future
-
KERBEL, R. S. (2000) Tumor angiogenesis: past, present and near future. Carcinogensis, 21, 505-515.
-
(2000)
Carcinogensis
, vol.21
, pp. 505-515
-
-
Kerbel, R.S.1
-
20
-
-
0000004505
-
VEGF/VPF: the angiogenesis factor found?
-
KLAGSBURN, M. & SOKER, S. (1993) VEGF/VPF: the angiogenesis factor found? Curr. Biol., 3, 699-702.
-
(1993)
Curr Biol
, vol.3
, pp. 699-702
-
-
Klagsburn, M.1
Soker, S.2
-
21
-
-
70449633042
-
The effect of pharmacokinetics on optimal protocols for a mathematical model of tumor anti-angiogenic therapy
-
Piscataway, NJ: IEEE
-
LEDZEWICZ, U., LIU, Y. & SCHÄTTLER, H. (2009a) The effect of pharmacokinetics on optimal protocols for a mathematical model of tumor anti-angiogenic therapy. Proceedings of the 2009 American Control Conference, St. Louis, MO. Piscataway, NJ: IEEE, pp. 1060-1065.
-
(2009)
Proceedings of the 2009 American Control Conference, St. Louis, MO
, pp. 1060-1065
-
-
Ledzewicz, U.1
Liu, Y.2
Schättler, H.3
-
22
-
-
77955669265
-
The scheduling of angiogenic inhibitors minimizing tumor volume
-
LEDZEWICZ, U., MARRIOTT, J., MAURER, H. & SCHÄTTLER, H. (2008) The scheduling of angiogenic inhibitors minimizing tumor volume. J. Med. Inform. Technol., 12, 23-28.
-
(2008)
J. Med. Inform. Technol.
, vol.12
, pp. 23-28
-
-
Ledzewicz, U.1
Marriott, J.2
Maurer, H.3
Schättler, H.4
-
23
-
-
70349932156
-
Scheduling of angiogenic inhibitors for gompertzian and logistic tumor growth models
-
LEDZEWICZ, U., MUNDEN, J. & SCHÄTTLER, H. (2009b) Scheduling of angiogenic inhibitors for gompertzian and logistic tumor growth models. Discrete Continuous Dyn. Syst. Ser. B, 12, 415-439.
-
(2009)
Discrete Continuous Dyn. Syst. Ser. B
, vol.12
, pp. 415-439
-
-
Ledzewicz, U.1
Munden, J.2
Schättler, H.3
-
24
-
-
33847219672
-
A synthesis of optimal controls for a model of tumor growth under angiogenic inhibitors
-
Piscataway, NJ: IEEE
-
LEDZEWICZ, U. & SCHÄTTLER, H. (2005) A synthesis of optimal controls for a model of tumor growth under angiogenic inhibitors. Proceedings of the 44th IEEE Conference on Decision and Control, Sevilla, Spain. Piscataway, NJ: IEEE, pp. 934-939.
-
(2005)
Proceedings of the 44th IEEE Conference on Decision and Control, Sevilla, Spain
, pp. 934-939
-
-
Ledzewicz, U.1
Schättler, H.2
-
25
-
-
42749090784
-
Anti-Angiogenic therapy in cancer treatment as an optimal control problem
-
LEDZEWICZ, U. & SCHÄTTLER, H. (2007) Anti-Angiogenic therapy in cancer treatment as an optimal control problem. SIAM J. Contr. Optim., 46, 1052-1079.
-
(2007)
SIAM J. Contr. Optim.
, vol.46
, pp. 1052-1079
-
-
Ledzewicz, U.1
Schättler, H.2
-
26
-
-
40449120191
-
Analysis of a mathematical model for tumor anti-angiogenesis
-
LEDZEWICZ, U. & SCHÄTTLER, H. (2008a) Analysis of a mathematical model for tumor anti-angiogenesis. Opt. Control Appl. Methods, 29, 41-57.
-
(2008)
Opt. Control Appl. Methods
, vol.29
, pp. 41-57
-
-
Ledzewicz, U.1
Schättler, H.2
-
27
-
-
42749096482
-
Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis
-
LEDZEWICZ, U. & SCHÄTTLER, H. (2008b) Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis. J. Theor. Biol., 252, 295-312.
-
(2008)
J. Theor. Biol.
, vol.252
, pp. 295-312
-
-
Ledzewicz, U.1
Schättler, H.2
-
28
-
-
67650860391
-
On the optimality of singular controls for a class of mathematical models for tumor anti-angiogenesis
-
LEDZEWICZ, U. & SCHÄTTLER, H. (2009) On the optimality of singular controls for a class of mathematical models for tumor anti-angiogenesis. Discrete Continuous Dyn. Syst. Ser. B, 11, 691-715.
-
(2009)
Discrete Continuous Dyn. Syst. Ser. B
, vol.11
, pp. 691-715
-
-
Ledzewicz, U.1
Schättler, H.2
-
29
-
-
74049140844
-
On the structure of optimal controls for a mathematical model of tumor anti-angiogenic therapy with linear pharmacokinetics
-
Piscataway, NJ: IEEE
-
LEDZEWICZ, U., SCHÄTTLER, H. & BERMAN, A. (2009c) On the structure of optimal controls for a mathematical model of tumor anti-angiogenic therapy with linear pharmacokinetics. IEEE Multi-conference on Systems, St. Petersburg, Russia. Piscataway, NJ: IEEE, pp. 71-76.
-
(2009)
IEEE Multi-conference on Systems, St. Petersburg, Russia
, pp. 71-76
-
-
Ledzewicz, U.1
Schättler, H.2
Berman, A.3
-
30
-
-
21244449627
-
Optimization techniques for the verification of second-order sufficient conditions for bang-bang controls
-
MAURER, H., BüSKENS, C., KIM, J. H. & KAJA, Y. (2005) Optimization techniques for the verification of second-order sufficient conditions for bang-bang controls. Optim. Control Appl. Methods, 26, 129-156.
-
(2005)
Optim. Control Appl. Methods
, vol.26
, pp. 129-156
-
-
Maurer, H.1
Büskens, C.2
Kim, J.H.3
Kaja, Y.4
-
32
-
-
38349139013
-
Optimization of angiogenic therapy as optimal control problem
-
(M. Doblare ed.). Anaheim, CA: Acta Press
-
SWIERNIAK, A., GALA, G., GANDOLFI, A. & D'ONOFRIO, A. (2006) Optimization of angiogenic therapy as optimal control problem. Proceedings of the 4th IASTED Conference on Biomechanics (M. Doblare ed.). Anaheim, CA: Acta Press, pp. 56-60.
-
(2006)
Proceedings of the 4th IASTED Conference on Biomechanics
, pp. 56-60
-
-
Swierniak, A.1
Gala, G.2
Gandolfi, A.3
D'onofrio, A.4
|