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Author ID: ledzewicz.urszula Recent zbMATH articles by "Ledzewicz, Urszula"
Published as: Ledzewicz, Urszula; Ledzewicz-Kowalewska, Urszula; Ledzewicz, U.; Łedzewicz-Kowalewska, Urszula; Ledzewicz-Kowalewska, U.; Lȩdzewicz-Kowalewska, Urszula; Łȩdzewicz-Kowalewska, Urszula
Further Spellings: Łędzewicz, Urszula
Homepage: https://p.lodz.pl/en/research/most-prominent-scientists/professor-urszula-ledzew...
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all top 5

Serials

15 Discrete and Continuous Dynamical Systems. Series B
14 Mathematical Biosciences and Engineering
9 Journal of Optimization Theory and Applications
8 Nonlinear Analysis. Theory, Methods & Applications
5 Journal of Mathematical Analysis and Applications
5 Discrete and Continuous Dynamical Systems
4 Journal of Mathematical Biology
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 SIAM Journal on Control and Optimization
2 Applicable Analysis
2 Mathematical Biosciences
2 Control and Cybernetics
2 Differential and Integral Equations
2 Applicationes Mathematicae
2 Journal of Biological Systems
2 International Journal of Pure and Applied Mathematics
2 Interdisciplinary Applied Mathematics
2 Mathematical Modelling of Natural Phenomena
1 Computers & Mathematics with Applications
1 Mathematical Methods in the Applied Sciences
1 Bulletin de la Société des Sciences et des Lettres de Łódź
1 Illinois Journal of Mathematics
1 Acta Applicandae Mathematicae
1 Journal of Applied Mathematics and Stochastic Analysis
1 Acta Universitatis Lodziensis. Folia Mathematica
1 Opuscula Mathematica
1 Revista Investigación Operacional
1 Nonlinear Studies
1 Journal of Applied Analysis
1 Optimization Methods & Software
1 Communications in Nonlinear Science and Numerical Simulation
1 International Journal of Applied Mathematics and Computer Science
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Mathematical Medicine and Biology
1 Networks and Heterogeneous Media
1 Numerical Algebra, Control and Optimization
1 Journal of Theoretical Biology
1 Lecture Notes on Mathematical Modelling in the Life Sciences

Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 959 times in 484 Documents Cited by Year
Geometric optimal control. Theory, methods and examples. Zbl 1276.49002
Schättler, Heinz; Ledzewicz, Urszula
78
2012
Optimal control for mathematical models of cancer therapies. An application of geometric methods. Zbl 1331.92008
Schättler, Heinz; Ledzewicz, Urszula
72
2015
Antiangiogenic therapy in cancer treatment as an optimal control problem. Zbl 1357.49086
Ledzewicz, Urszula; Schättler, Heinz
59
2007
On optimal delivery of combination therapy for tumors. Zbl 1176.92033
d’Onofrio, Alberto; Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
58
2009
Optimal bang-bang controls for a two-compartment model in cancer chemotherapy. Zbl 1035.49020
Ledzewicz, U.; Schättler, H.
57
2002
Multi-input optimal control problems for combined tumor anti-angiogenic and radiotherapy treatments. Zbl 1237.49046
Ledzewicz, U.; Schättler, H.
39
2012
Optimal control for a class of compartmental models in cancer chemotherapy. Zbl 1052.92032
Świerniak, Andrzej; Ledzewicz, Urszula; Schättler, Heinz
36
2003
Optimal response to chemotherapy for a mathematical model of tumor-immune dynamics. Zbl 1284.92042
Ledzewicz, Urszula; Naghnaeian, Mohammad; Schättler, Heinz
33
2012
On optimal singular controls for a general SIR-model with vaccination and treatment. Zbl 1306.49056
Ledzewicz, Urszula; Schättler, Heinz
29
2011
Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy. Zbl 1259.92048
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
27
2011
Analysis of a cell-cycle specific model for cancer chemotherapy. Zbl 1099.92035
Ledzewicz, Urszula; Schättler, Heinz
25
2002
Drug resistance in cancer chemotherapy as an optimal control problem. Zbl 1088.92040
Ledzewicz, Urszula; Schättler, Heinz
23
2006
High-order approximations and generalized necessary conditions for optimality. Zbl 0941.49016
Ledzewicz, Urszula; Schättler, Heinz
22
1999
On some specification of the Dubovitskij-Milyutin method. Zbl 0603.49016
Łedzewicz-Kowalewska, Urszula
19
1986
Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis. Zbl 1398.92120
Ledzewicz, Urszula; Schättler, Heinz
19
2008
Optimal controls for a model with pharmacokinetics maximizing bone marrow in cancer chemotherapy. Zbl 1114.92042
Ledzewicz, Urszula; Schättler, Heinz
17
2007
Second-order conditions for extremum problems with nonregular equality constraints. Zbl 0835.49016
Ledzewicz, U.; Schaettler, H.
15
1995
Sufficient conditions for strong local optimality in optimal control problems with \(L_{2}\)-type objectives and control constraints. Zbl 1304.49043
Schättler, Heinz; Ledzewicz, Urszula; Maurer, Helmut
14
2014
Optimal control systems governed by second-order ODEs with Dirichlet boundary data and variable parameters. Zbl 1031.49002
Ledzewicz, Urszula; Schättler, Heinz; Walczak, Stanislaw
13
2003
On the MTD paradigm and optimal control for multi-drug cancer chemotherapy. Zbl 1268.92065
Ledzewicz, Urszula; Schättler, Heinz; Gahrooi, Mostafa Reisi; Dehkordi, Siamak Mahmoudian
13
2013
A review of optimal chemotherapy protocols: from MTD towards metronomic therapy. Zbl 1321.92057
Ledzewicz, U.; Schättler, H.
12
2014
Optimal controls for a mathematical model of tumor-immune interactions under targeted chemotherapy with immune boost. Zbl 1275.49036
Ledzewicz, Urszula; Mosalman, Mozhdeh Sadat Faraji; Schättler, Heinz
12
2013
Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment. Zbl 1190.92015
Ledzewicz, Urszula; Marriott, John; Maurer, Helmut; Schättler, Heinz
12
2010
The influence of PK/PD on the structure of optimal controls in cancer chemotherapy models. Zbl 1079.92041
Ledzewicz, Urszula; Schättler, Heinz
11
2005
Singular controls and chattering arcs in optimal control problems arising in biomedicine. Zbl 1236.49054
Ledzewicz, U.; Schaettler, H.
10
2009
Scheduling of angiogenic inhibitors for Gompertzian and logistic tumor growth models. Zbl 1170.49003
Ledzewicz, Urszula; Munden, James; Schättler, Heinz
10
2009
On optimal chemotherapy for heterogeneous tumors. Zbl 1343.92232
Ledzewicz, Urszula; Schättler, Heinz
10
2014
A model for cancer chemotherapy with state-space constraints. Zbl 1222.92050
de Pinho, Maria do Rosario; Ferreira, Maria Margarida; Ledzewicz, Urszula; Schaettler, Heinz
9
2005
Application of the method of contractor directions to the Dubovitskii- Milyutin formalism. Zbl 0634.49004
Ledzewicz-Kowalewska, Urszula
8
1987
A high-order generalization of the Lyusternik theorem. Zbl 0954.49014
Ledzewicz, Urszula; Schättler, Heinz
8
1998
Robustness of optimal controls for a class of mathematical models for tumor anti-angiogenesis. Zbl 1259.92053
Schättler, Heinz; Ledzewicz, Urszula; Cardwell, Benjamin
8
2011
On abnormal optimal control problems with mixed equality and inequality constraints. Zbl 0780.49020
Ledzewicz, U.
7
1993
Dynamical properties of a minimally parameterized mathematical model for metronomic chemotherapy. Zbl 1337.92117
Schättler, Heinz; Ledzewicz, Urszula; Amini, Behrooz
7
2016
An optimal control approach to cancer treatment under immunological activity. Zbl 1215.49030
Ledzewicz, Urszula; Naghnaeian, Mohammad; Schättler, Heinz
6
2011
Optimal control for a mathematical model of glioma treatment with oncolytic therapy and TNF-\(\alpha \) inhibitors. Zbl 1390.49019
Ratajczyk, Elzbieta; Ledzewicz, Urszula; Schättler, Heinz
6
2018
Comparison of optimal controls for a model in cancer chemotherapy with \(L_1\)- and \(L_2\)-type objectives. Zbl 1056.92033
Ledzewicz, Urszula; Brown, Tim; Schättler, Heinz
6
2004
Controlling a model for bone marrow dynamics in cancer chemotherapy. Zbl 1135.92309
Ledzewicz, Urszula; Schättler, Heinz
6
2004
Extension of the local maximum principle to abnormal optimal control problems. Zbl 0796.49020
Ledzewicz, U.
6
1993
A 3-compartment model for chemotherapy of heterogeneous tumor populations. Zbl 1326.92039
Ledzewicz, Urszula; Bratton, Kenneth; Schättler, Heinz
6
2015
Sufficient conditions for optimality for a mathematical model of drug treatment with pharmacodynamics. Zbl 1367.49015
Leszczyński, Maciej; Ratajczyk, Elżbieta; Ledzewicz, Urszula; Schättler, Heinz
6
2017
On the dynamics of tumor-immune system interactions and combined chemo- and immunotherapy. Zbl 1316.92020
D’Onofrio, Alberto; Ledzewicz, Urszula; Schättler, Heinz
6
2012
Optimal combined radio- and anti-angiogenic cancer therapy. Zbl 1409.49036
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
6
2019
On the optimality of singular controls for a class of mathematical models for tumor anti-angiogenesis. Zbl 1161.49037
Ledzewicz, Urszula; Schättler, Heinz
5
2009
Dynamics and control of a mathematical model for metronomic chemotherapy. Zbl 1326.92038
Ledzewicz, Urszula; Amini, Behrooz; Schättler, Heinz
5
2015
On optimal chemotherapy with a strongly targeted agent for a model of tumor-immune system interactions with generalized logistic growth. Zbl 1268.92064
Ledzewicz, Urszula; Olumoye, Omeiza; Schättler, Heinz
5
2013
Optimal control for a mathematical model for chemotherapy with pharmacometrics. Zbl 1467.92094
Leszczyński, Maciej; Ledzewicz, Urszula; Schättler, Heinz
5
2020
Optimal control for a mathematical model for anti-angiogenic treatment with Michaelis-Menten pharmacodynamics. Zbl 1418.92058
Leszczyński, Maciej; Ledzewicz, Urszula; Schättler, Heinz
5
2019
A high-order generalized local maximum principle. Zbl 0954.49015
Ledzewicz, Urszula; Schättler, Heinz
4
2000
Optimal control of systems governed by some elliptic equations. Zbl 0958.49002
Ledzewicz, Urszula; Walczak, Stanislaw
4
1999
Mathematical methods and models in biomedicine. Zbl 1254.92046
4
2013
The role of TNF-\(\alpha\) inhibitor in glioma virotherapy: a mathematical model. Zbl 1362.92034
Ratajczyk, Elzbieta; Ledzewicz, Urszula; Leszczynski, Maciej; Friedman, Avner
4
2017
On the role of the objective in the optimization of compartmental models for biomedical therapies. Zbl 1462.49078
Ledzewicz, Urszula; Schättler, Heinz
4
2020
On the role of pharmacometrics in mathematical models for cancer treatments. Zbl 1466.92077
Ledzewicz, Urszula; Schättler, Heinz
4
2021
Application of some specification of the Dubovitskij-Milyutin method to problems of optimal control. Zbl 0655.49013
Łedzewicz-Kowalewska, Urszula
3
1988
Optimal solutions for a model of tumor anti-angiogenesis with a penalty on the cost of treatment. Zbl 1173.49004
Ledzewicz, Urszula; Oussa, Vignon; Schättler, Heinz
3
2009
A necessary condition for a problem of optimal control with equality and inequality constraints. Zbl 0584.49011
Łedzewicz-Kowalewska, Urszula
3
1985
On the Lusternik theorem for nonsmooth operators. Zbl 0843.46028
Ledzewicz, Urszula; Walczak, Stanislaw
3
1994
On drug resistance and metronomic chemotherapy: a mathematical modeling and optimal control approach. Zbl 1351.49049
Ledzewicz, Urszula; Wang, Shuo; Schättler, Heinz; André, Nicolas; Heng, Marie Amélie; Pasquier, Eddy
3
2017
Optimal control applied to a generalized Michaelis-Menten model of CML therapy. Zbl 1376.92024
Ledzewicz, Urszula; Moore, Helen
3
2018
Dynamics of tumor-immune interaction under treatment as an optimal control problem. Zbl 1306.49055
Ledzewicz, Urszula; Naghnaeian, Mohammad; Schättler, Heinz
3
2011
Perturbation feedback control: A geometric interpretation. Zbl 1253.49013
Schättler, Heinz; Ledzewicz, Urszula
3
2012
Optimization of combination therapy for chronic myeloid leukemia with dosing constraints. Zbl 1400.49058
Moore, Helen; Strauss, Lewis; Ledzewicz, Urszula
3
2018
Lyapunov-Schmidt reduction for optimal control problems. Zbl 1246.49018
Schättler, Heinz; Ledzewicz, Urszula
2
2012
High-order tangent cones and their application in optimization. Zbl 0909.90241
Ledzewicz, Urszula; Schättler, Heinz
2
1997
The necessary and sufficient condition for the problems of optimal control of parabolic systems with equality constraints. Zbl 0613.49022
Łȩdzewicz-Kowalewska, Urszula
2
1986
Optimal control problems of hyperbolic systems with operator and nonoperator equality constraints. Zbl 0613.49023
Ledzewicz-Kowalewska, Urszula
2
1988
On the optimal control problems of parabolic equations with an infinite number of variables and with equality constraints. Zbl 0733.49022
Ledzewicz-Kowalewska, Urszula
2
1991
Euler-Lagrange equation in the case of nonregular equality constraints. Zbl 0794.49030
Ledzewicz-Kowalewska, U.
2
1991
Pareto optimality conditions for abnormal optimization and optimal control problems. Zbl 0811.49018
Ledzewicz, Urszula; Schaettler, Heinz
2
1994
Treatment of glioma with virotherapy and TNF-\(\alpha\) inhibitors: analysis as a dynamical system. Zbl 1376.92027
Ratajczyk, Elzbieta; Ledzewicz, Urszula; Leszczyński, Maciej; Schättler, Heinz
2
2018
Tumor development under combination treatments with anti-angiogenic therapies. Zbl 1345.92078
Ledzewicz, Urszula; d’Onofrio, Alberto; Schättler, Heinz
2
2013
Synthesis of optimal controlled trajectories with chattering arcs. Zbl 1270.49035
Schättler, Heinz; Ledzewicz, Urszula
2
2012
On the optimal control problems with Gâteaux differentiable operator constraints. Zbl 0643.49002
Łedzewicz-Kowalewska, Urszula
1
1988
A necessary condition for the extremal problems under Gâteaux differentiability. Zbl 0657.49011
Łedzewicz-Kowalewska, Urszula
1
1988
Stability of elliptic optimal control problems. Zbl 0985.49015
Walczak, S.; Ledzewicz, U.; Schättler, H.
1
2001
Optimal controls for a 3-compartment model for cancer chemotherapy with quadratic objective. Zbl 1062.49032
Ledzewicz, Urszula; Schättler, Heinz
1
2003
Bang-bang controls for anti-angiogenesis under logistic growth of the tumor. Zbl 1165.49004
Ledzewicz, Urszula; Munden, James; Schättler, Heinz
1
2008
Stratifiable families of extremals and sufficient conditions for optimality in optimal control problems. Zbl 1092.49019
Ledzewicz, U.; Nowakowski, A.; Schättler, H.
1
2004
Controlling the bone marrow dynamics in cancer chemotherapy. Zbl 1076.49019
Ledzewicz, Urszula; Schättler, Heinz
1
2004
Tangent directions for a class of nonlinear evolution equations. Zbl 0718.47032
Ledzewicz-Kowalewska, Urszula
1
1988
An extended maximum principle. Zbl 0879.49019
Ledzewicz, Urszula; Schättler, Heinz
1
1997
Optimality conditions for control problems governed by abstract semilinear differential equations in complex Banach spaces. Zbl 0883.49022
Ledzewicz, U.; Nowakowski, A.
1
1997
On an abnormal optimal control problem. Zbl 0817.49020
Ledzewicz-Kowalewska, U.
1
1993
A theory of first and second order conditions for nonregular extremum problems. Zbl 0811.49019
Ledzewicz, Urszula; Schaettler, Heinz
1
1994
Optimal control of cancer treatments: mathematical models for the tumor microenvironment. Zbl 1329.49078
Schättler, Heinz; Ledzewicz, Urszula
1
2015
On the role of pharmacometrics and the objective in optimizing cancer therapies. Zbl 1478.92083
Ledzewicz, Urszula; Schaettler, Heinz
1
2019
On the role of tumor heterogeneity for optimal cancer chemotherapy. Zbl 1425.92113
Ledzewicz, Urszula; Schättler, Heinz; Wang, Shuo
1
2019
On modeling the synergy of cancer immunotherapy with radiotherapy. Zbl 1507.92043
Ledzewicz, Urszula; Schättler, Heinz
1
2023
A mathematical model for tumor-immune dynamics in multiple myeloma. Zbl 1421.92023
Gallaher, Jill; Larripa, Kamila; Ledzewicz, Urszula; Renardy, Marissa; Shtylla, Blerta; Tania, Nessy; White, Diana; Wood, Karen; Zhu, Li; Passey, Chaitali; Robbins, Michael; Bezman, Natalie; Shelat, Suresh; Cho, Hearn Jay; Moore, Helen
1
2018
On modeling the synergy of cancer immunotherapy with radiotherapy. Zbl 1507.92043
Ledzewicz, Urszula; Schättler, Heinz
1
2023
On the role of pharmacometrics in mathematical models for cancer treatments. Zbl 1466.92077
Ledzewicz, Urszula; Schättler, Heinz
4
2021
Optimal control for a mathematical model for chemotherapy with pharmacometrics. Zbl 1467.92094
Leszczyński, Maciej; Ledzewicz, Urszula; Schättler, Heinz
5
2020
On the role of the objective in the optimization of compartmental models for biomedical therapies. Zbl 1462.49078
Ledzewicz, Urszula; Schättler, Heinz
4
2020
Optimal combined radio- and anti-angiogenic cancer therapy. Zbl 1409.49036
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
6
2019
Optimal control for a mathematical model for anti-angiogenic treatment with Michaelis-Menten pharmacodynamics. Zbl 1418.92058
Leszczyński, Maciej; Ledzewicz, Urszula; Schättler, Heinz
5
2019
On the role of pharmacometrics and the objective in optimizing cancer therapies. Zbl 1478.92083
Ledzewicz, Urszula; Schaettler, Heinz
1
2019
On the role of tumor heterogeneity for optimal cancer chemotherapy. Zbl 1425.92113
Ledzewicz, Urszula; Schättler, Heinz; Wang, Shuo
1
2019
Optimal control for a mathematical model of glioma treatment with oncolytic therapy and TNF-\(\alpha \) inhibitors. Zbl 1390.49019
Ratajczyk, Elzbieta; Ledzewicz, Urszula; Schättler, Heinz
6
2018
Optimal control applied to a generalized Michaelis-Menten model of CML therapy. Zbl 1376.92024
Ledzewicz, Urszula; Moore, Helen
3
2018
Optimization of combination therapy for chronic myeloid leukemia with dosing constraints. Zbl 1400.49058
Moore, Helen; Strauss, Lewis; Ledzewicz, Urszula
3
2018
Treatment of glioma with virotherapy and TNF-\(\alpha\) inhibitors: analysis as a dynamical system. Zbl 1376.92027
Ratajczyk, Elzbieta; Ledzewicz, Urszula; Leszczyński, Maciej; Schättler, Heinz
2
2018
A mathematical model for tumor-immune dynamics in multiple myeloma. Zbl 1421.92023
Gallaher, Jill; Larripa, Kamila; Ledzewicz, Urszula; Renardy, Marissa; Shtylla, Blerta; Tania, Nessy; White, Diana; Wood, Karen; Zhu, Li; Passey, Chaitali; Robbins, Michael; Bezman, Natalie; Shelat, Suresh; Cho, Hearn Jay; Moore, Helen
1
2018
Sufficient conditions for optimality for a mathematical model of drug treatment with pharmacodynamics. Zbl 1367.49015
Leszczyński, Maciej; Ratajczyk, Elżbieta; Ledzewicz, Urszula; Schättler, Heinz
6
2017
The role of TNF-\(\alpha\) inhibitor in glioma virotherapy: a mathematical model. Zbl 1362.92034
Ratajczyk, Elzbieta; Ledzewicz, Urszula; Leszczynski, Maciej; Friedman, Avner
4
2017
On drug resistance and metronomic chemotherapy: a mathematical modeling and optimal control approach. Zbl 1351.49049
Ledzewicz, Urszula; Wang, Shuo; Schättler, Heinz; André, Nicolas; Heng, Marie Amélie; Pasquier, Eddy
3
2017
Dynamical properties of a minimally parameterized mathematical model for metronomic chemotherapy. Zbl 1337.92117
Schättler, Heinz; Ledzewicz, Urszula; Amini, Behrooz
7
2016
Optimal control for mathematical models of cancer therapies. An application of geometric methods. Zbl 1331.92008
Schättler, Heinz; Ledzewicz, Urszula
72
2015
A 3-compartment model for chemotherapy of heterogeneous tumor populations. Zbl 1326.92039
Ledzewicz, Urszula; Bratton, Kenneth; Schättler, Heinz
6
2015
Dynamics and control of a mathematical model for metronomic chemotherapy. Zbl 1326.92038
Ledzewicz, Urszula; Amini, Behrooz; Schättler, Heinz
5
2015
Optimal control of cancer treatments: mathematical models for the tumor microenvironment. Zbl 1329.49078
Schättler, Heinz; Ledzewicz, Urszula
1
2015
Sufficient conditions for strong local optimality in optimal control problems with \(L_{2}\)-type objectives and control constraints. Zbl 1304.49043
Schättler, Heinz; Ledzewicz, Urszula; Maurer, Helmut
14
2014
A review of optimal chemotherapy protocols: from MTD towards metronomic therapy. Zbl 1321.92057
Ledzewicz, U.; Schättler, H.
12
2014
On optimal chemotherapy for heterogeneous tumors. Zbl 1343.92232
Ledzewicz, Urszula; Schättler, Heinz
10
2014
On the MTD paradigm and optimal control for multi-drug cancer chemotherapy. Zbl 1268.92065
Ledzewicz, Urszula; Schättler, Heinz; Gahrooi, Mostafa Reisi; Dehkordi, Siamak Mahmoudian
13
2013
Optimal controls for a mathematical model of tumor-immune interactions under targeted chemotherapy with immune boost. Zbl 1275.49036
Ledzewicz, Urszula; Mosalman, Mozhdeh Sadat Faraji; Schättler, Heinz
12
2013
On optimal chemotherapy with a strongly targeted agent for a model of tumor-immune system interactions with generalized logistic growth. Zbl 1268.92064
Ledzewicz, Urszula; Olumoye, Omeiza; Schättler, Heinz
5
2013
Mathematical methods and models in biomedicine. Zbl 1254.92046
4
2013
Tumor development under combination treatments with anti-angiogenic therapies. Zbl 1345.92078
Ledzewicz, Urszula; d’Onofrio, Alberto; Schättler, Heinz
2
2013
Geometric optimal control. Theory, methods and examples. Zbl 1276.49002
Schättler, Heinz; Ledzewicz, Urszula
78
2012
Multi-input optimal control problems for combined tumor anti-angiogenic and radiotherapy treatments. Zbl 1237.49046
Ledzewicz, U.; Schättler, H.
39
2012
Optimal response to chemotherapy for a mathematical model of tumor-immune dynamics. Zbl 1284.92042
Ledzewicz, Urszula; Naghnaeian, Mohammad; Schättler, Heinz
33
2012
On the dynamics of tumor-immune system interactions and combined chemo- and immunotherapy. Zbl 1316.92020
D’Onofrio, Alberto; Ledzewicz, Urszula; Schättler, Heinz
6
2012
Perturbation feedback control: A geometric interpretation. Zbl 1253.49013
Schättler, Heinz; Ledzewicz, Urszula
3
2012
Lyapunov-Schmidt reduction for optimal control problems. Zbl 1246.49018
Schättler, Heinz; Ledzewicz, Urszula
2
2012
Synthesis of optimal controlled trajectories with chattering arcs. Zbl 1270.49035
Schättler, Heinz; Ledzewicz, Urszula
2
2012
On optimal singular controls for a general SIR-model with vaccination and treatment. Zbl 1306.49056
Ledzewicz, Urszula; Schättler, Heinz
29
2011
Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy. Zbl 1259.92048
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
27
2011
Robustness of optimal controls for a class of mathematical models for tumor anti-angiogenesis. Zbl 1259.92053
Schättler, Heinz; Ledzewicz, Urszula; Cardwell, Benjamin
8
2011
An optimal control approach to cancer treatment under immunological activity. Zbl 1215.49030
Ledzewicz, Urszula; Naghnaeian, Mohammad; Schättler, Heinz
6
2011
Dynamics of tumor-immune interaction under treatment as an optimal control problem. Zbl 1306.49055
Ledzewicz, Urszula; Naghnaeian, Mohammad; Schättler, Heinz
3
2011
Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment. Zbl 1190.92015
Ledzewicz, Urszula; Marriott, John; Maurer, Helmut; Schättler, Heinz
12
2010
On optimal delivery of combination therapy for tumors. Zbl 1176.92033
d’Onofrio, Alberto; Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
58
2009
Singular controls and chattering arcs in optimal control problems arising in biomedicine. Zbl 1236.49054
Ledzewicz, U.; Schaettler, H.
10
2009
Scheduling of angiogenic inhibitors for Gompertzian and logistic tumor growth models. Zbl 1170.49003
Ledzewicz, Urszula; Munden, James; Schättler, Heinz
10
2009
On the optimality of singular controls for a class of mathematical models for tumor anti-angiogenesis. Zbl 1161.49037
Ledzewicz, Urszula; Schättler, Heinz
5
2009
Optimal solutions for a model of tumor anti-angiogenesis with a penalty on the cost of treatment. Zbl 1173.49004
Ledzewicz, Urszula; Oussa, Vignon; Schättler, Heinz
3
2009
Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis. Zbl 1398.92120
Ledzewicz, Urszula; Schättler, Heinz
19
2008
Bang-bang controls for anti-angiogenesis under logistic growth of the tumor. Zbl 1165.49004
Ledzewicz, Urszula; Munden, James; Schättler, Heinz
1
2008
Antiangiogenic therapy in cancer treatment as an optimal control problem. Zbl 1357.49086
Ledzewicz, Urszula; Schättler, Heinz
59
2007
Optimal controls for a model with pharmacokinetics maximizing bone marrow in cancer chemotherapy. Zbl 1114.92042
Ledzewicz, Urszula; Schättler, Heinz
17
2007
Drug resistance in cancer chemotherapy as an optimal control problem. Zbl 1088.92040
Ledzewicz, Urszula; Schättler, Heinz
23
2006
The influence of PK/PD on the structure of optimal controls in cancer chemotherapy models. Zbl 1079.92041
Ledzewicz, Urszula; Schättler, Heinz
11
2005
A model for cancer chemotherapy with state-space constraints. Zbl 1222.92050
de Pinho, Maria do Rosario; Ferreira, Maria Margarida; Ledzewicz, Urszula; Schaettler, Heinz
9
2005
Comparison of optimal controls for a model in cancer chemotherapy with \(L_1\)- and \(L_2\)-type objectives. Zbl 1056.92033
Ledzewicz, Urszula; Brown, Tim; Schättler, Heinz
6
2004
Controlling a model for bone marrow dynamics in cancer chemotherapy. Zbl 1135.92309
Ledzewicz, Urszula; Schättler, Heinz
6
2004
Stratifiable families of extremals and sufficient conditions for optimality in optimal control problems. Zbl 1092.49019
Ledzewicz, U.; Nowakowski, A.; Schättler, H.
1
2004
Controlling the bone marrow dynamics in cancer chemotherapy. Zbl 1076.49019
Ledzewicz, Urszula; Schättler, Heinz
1
2004
Optimal control for a class of compartmental models in cancer chemotherapy. Zbl 1052.92032
Świerniak, Andrzej; Ledzewicz, Urszula; Schättler, Heinz
36
2003
Optimal control systems governed by second-order ODEs with Dirichlet boundary data and variable parameters. Zbl 1031.49002
Ledzewicz, Urszula; Schättler, Heinz; Walczak, Stanislaw
13
2003
Optimal controls for a 3-compartment model for cancer chemotherapy with quadratic objective. Zbl 1062.49032
Ledzewicz, Urszula; Schättler, Heinz
1
2003
Optimal bang-bang controls for a two-compartment model in cancer chemotherapy. Zbl 1035.49020
Ledzewicz, U.; Schättler, H.
57
2002
Analysis of a cell-cycle specific model for cancer chemotherapy. Zbl 1099.92035
Ledzewicz, Urszula; Schättler, Heinz
25
2002
Stability of elliptic optimal control problems. Zbl 0985.49015
Walczak, S.; Ledzewicz, U.; Schättler, H.
1
2001
A high-order generalized local maximum principle. Zbl 0954.49015
Ledzewicz, Urszula; Schättler, Heinz
4
2000
High-order approximations and generalized necessary conditions for optimality. Zbl 0941.49016
Ledzewicz, Urszula; Schättler, Heinz
22
1999
Optimal control of systems governed by some elliptic equations. Zbl 0958.49002
Ledzewicz, Urszula; Walczak, Stanislaw
4
1999
A high-order generalization of the Lyusternik theorem. Zbl 0954.49014
Ledzewicz, Urszula; Schättler, Heinz
8
1998
High-order tangent cones and their application in optimization. Zbl 0909.90241
Ledzewicz, Urszula; Schättler, Heinz
2
1997
An extended maximum principle. Zbl 0879.49019
Ledzewicz, Urszula; Schättler, Heinz
1
1997
Optimality conditions for control problems governed by abstract semilinear differential equations in complex Banach spaces. Zbl 0883.49022
Ledzewicz, U.; Nowakowski, A.
1
1997
Second-order conditions for extremum problems with nonregular equality constraints. Zbl 0835.49016
Ledzewicz, U.; Schaettler, H.
15
1995
On the Lusternik theorem for nonsmooth operators. Zbl 0843.46028
Ledzewicz, Urszula; Walczak, Stanislaw
3
1994
Pareto optimality conditions for abnormal optimization and optimal control problems. Zbl 0811.49018
Ledzewicz, Urszula; Schaettler, Heinz
2
1994
A theory of first and second order conditions for nonregular extremum problems. Zbl 0811.49019
Ledzewicz, Urszula; Schaettler, Heinz
1
1994
On abnormal optimal control problems with mixed equality and inequality constraints. Zbl 0780.49020
Ledzewicz, U.
7
1993
Extension of the local maximum principle to abnormal optimal control problems. Zbl 0796.49020
Ledzewicz, U.
6
1993
On an abnormal optimal control problem. Zbl 0817.49020
Ledzewicz-Kowalewska, U.
1
1993
On the optimal control problems of parabolic equations with an infinite number of variables and with equality constraints. Zbl 0733.49022
Ledzewicz-Kowalewska, Urszula
2
1991
Euler-Lagrange equation in the case of nonregular equality constraints. Zbl 0794.49030
Ledzewicz-Kowalewska, U.
2
1991
Application of some specification of the Dubovitskij-Milyutin method to problems of optimal control. Zbl 0655.49013
Łedzewicz-Kowalewska, Urszula
3
1988
Optimal control problems of hyperbolic systems with operator and nonoperator equality constraints. Zbl 0613.49023
Ledzewicz-Kowalewska, Urszula
2
1988
On the optimal control problems with Gâteaux differentiable operator constraints. Zbl 0643.49002
Łedzewicz-Kowalewska, Urszula
1
1988
A necessary condition for the extremal problems under Gâteaux differentiability. Zbl 0657.49011
Łedzewicz-Kowalewska, Urszula
1
1988
Tangent directions for a class of nonlinear evolution equations. Zbl 0718.47032
Ledzewicz-Kowalewska, Urszula
1
1988
Application of the method of contractor directions to the Dubovitskii- Milyutin formalism. Zbl 0634.49004
Ledzewicz-Kowalewska, Urszula
8
1987
On some specification of the Dubovitskij-Milyutin method. Zbl 0603.49016
Łedzewicz-Kowalewska, Urszula
19
1986
The necessary and sufficient condition for the problems of optimal control of parabolic systems with equality constraints. Zbl 0613.49022
Łȩdzewicz-Kowalewska, Urszula
2
1986
A necessary condition for a problem of optimal control with equality and inequality constraints. Zbl 0584.49011
Łedzewicz-Kowalewska, Urszula
3
1985
all top 5

Cited by 831 Authors

50 Ledzewicz, Urszula
42 Schättler, Heinz Michael
13 Khailov, Evgenii N.
13 Maurer, Helmut
10 Galewski, Marek
10 Tret’yakov, Alexey A.
8 Bratus, Alexander S.
8 d’Onofrio, Alberto
8 Rojas-Medar, Marko Antonio
8 Trélat, Emmanuel
7 Bayen, Térence
7 de Pinho, Maria do Rosário
7 Foryś, Urszula
7 Silva, Cristiana J.
6 Grigorieva, Ellina V.
6 Osuna-Gómez, Rafaela
6 Torres, Delfim Fernando Marado
5 Alamir, Mazen
5 Bourdin, Loïc
5 Grigorenko, Nikolaĭ Leont’evich
5 Piotrowska, Monika Joanna
5 Wang, Shuo
5 Yegorov, Ivan V.
4 Aronna, María Soledad
4 Arutyunov, Aram Vladimirovic
4 Batista Dos Santos, Lucelina
4 Bednarczuk, Ewa M.
4 Belmonte-Beitia, Juan
4 Brezhneva, Olga A.
4 Buonomo, Bruno
4 Clairambault, Jean
4 Dai, Feng
4 Deng, Li
4 Eftimie, Raluca
4 Hernández-Jiménez, Beatriz
4 Korobeinikov, Andrei
4 Leszczynski, Maciej
4 Liu, Bin
4 Lykina, Valeriya
4 Mairet, Francis
4 Moore, Helen
4 Ratajczyk, Elzbieta
4 Vivanco-Orellana, Violeta
3 Ainseba, Bedr’Eddine
3 Băleanu, Dumitru I.
3 Benosman, Chahrazed
3 Bonnard, Bernard
3 Bors, Dorota
3 Carrère, Cécile
3 Cerf, Max
3 Constantin, Elena
3 Dmitruk, Andrei V.
3 Felgenhauer, Ursula
3 Fimmel, Elena
3 Glick, Adam E.
3 Klimenkova, Anna D.
3 Kolobov, Andrey V.
3 Kuznetsov, Maxim B.
3 Lenhart, Suzanne M.
3 Martalò, Giorgio
3 Mastroberardino, Antonio
3 Nieto Roig, Juan Jose
3 Palladino, Michele
3 Papa, Federico
3 Prusińska, Agnieszka
3 Rachik, Mostafa
3 Rampazzo, Franco
3 Rouot, Jérémy
3 Sebbah, Matthieu
3 Shamsi, Mostafa
3 Shu, Yadong
3 Sowndarrajan, Puthur Thangaraj
3 Walczak, Stanislaw
3 Yurchenko, Daniil
3 Zhang, Xu
3 Zhu, Jiamin
2 Al Agha, Afnan D.
2 Amini, Behrooz
2 Area, Iván
2 Balatif, Omar
2 Barbata, Asma
2 Belmiloudi, Aziz
2 Bernard, Séverine
2 Bianchi, Cesidio
2 Billy, Frédérique
2 Bloch, Anthony Michael
2 Bodnar, Marek
2 Bodzioch, Mariusz
2 Bonnans, Joseph Frédéric
2 Bramson, Jonathan L.
2 Bruni, Carlo
2 Bunimovich-Mendrazitsky, Svetlana
2 Cacace, Filippo
2 Chen, Zheng
2 Chiappini, Massimo
2 Ching, Shinung
2 Coron, Jean-Michel
2 Cots, Olivier
2 Cui, Qing
2 Cusimano, Valerio
...and 731 more Authors
all top 5

Cited in 143 Serials

28 Journal of Optimization Theory and Applications
25 Mathematical Biosciences
21 Mathematical Biosciences and Engineering
18 Discrete and Continuous Dynamical Systems. Series B
17 Journal of Theoretical Biology
15 Bulletin of Mathematical Biology
15 SIAM Journal on Control and Optimization
14 Applied Mathematics and Computation
13 Journal of Mathematical Biology
12 Journal of Mathematical Analysis and Applications
10 Mathematical Modelling of Natural Phenomena
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Optimal Control Applications & Methods
7 Automatica
7 Nonlinear Analysis. Theory, Methods & Applications
6 Mathematical Methods in the Applied Sciences
6 Chaos, Solitons and Fractals
6 Applied Mathematical Modelling
6 Communications in Nonlinear Science and Numerical Simulation
5 International Journal of Control
5 Journal of Differential Equations
5 Numerical Functional Analysis and Optimization
5 Acta Applicandae Mathematicae
4 Applicable Analysis
4 Optimization
4 Journal of Global Optimization
4 Computational Optimization and Applications
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Journal of Biological Systems
4 Nonlinear Analysis. Real World Applications
4 Proceedings of the Steklov Institute of Mathematics
4 International Journal of Biomathematics
3 Computers & Mathematics with Applications
3 Mathematics and Computers in Simulation
3 Systems & Control Letters
3 Mathematical and Computer Modelling
3 Computational Mathematics and Modeling
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 International Journal of Robust and Nonlinear Control
3 Computational and Applied Mathematics
3 Discrete and Continuous Dynamical Systems
3 International Journal of Applied Mathematics and Computer Science
3 Journal of Dynamical and Control Systems
3 Computational & Mathematical Methods in Medicine
3 Numerical Algebra, Control and Optimization
3 AIMS Mathematics
2 Journal of the Franklin Institute
2 Nonlinearity
2 Physica A
2 Applied Mathematics and Optimization
2 Journal of Computational and Applied Mathematics
2 Journal of Economic Theory
2 Annals of Operations Research
2 Computational Mathematics and Mathematical Physics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Mathematical Programming. Series A. Series B
2 SIAM Journal on Optimization
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Opuscula Mathematica
2 Revista Investigación Operacional
2 European Journal of Control
2 Journal of Vibration and Control
2 Abstract and Applied Analysis
2 Discrete Dynamics in Nature and Society
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Central European Journal of Mathematics
2 Advances in Difference Equations
2 Boundary Value Problems
2 Journal of Biological Dynamics
2 Optimization Letters
2 Journal of Physics A: Mathematical and Theoretical
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Geometric Mechanics
2 Set-Valued and Variational Analysis
2 Mathematical Control and Related Fields
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Systems Science
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Mathematical Economics
1 Kybernetika
1 Mathematics of Operations Research
1 Results in Mathematics
1 Revista Colombiana de Matemáticas
1 Moscow University Computational Mathematics and Cybernetics
1 Cybernetics and Systems
1 MCSS. Mathematics of Control, Signals, and Systems
1 European Journal of Operational Research
1 SIAM Journal on Applied Mathematics
1 Celestial Mechanics and Dynamical Astronomy
1 Calculus of Variations and Partial Differential Equations
1 Applicationes Mathematicae
1 Journal of Mathematical Sciences (New York)
1 Filomat
1 NoDEA. Nonlinear Differential Equations and Applications
1 International Transactions in Operational Research
1 Mathematical Problems in Engineering
1 Mathematical Population Studies
...and 43 more Serials
all top 5

Cited in 35 Fields

307 Calculus of variations and optimal control; optimization (49-XX)
291 Biology and other natural sciences (92-XX)
108 Systems theory; control (93-XX)
72 Ordinary differential equations (34-XX)
65 Partial differential equations (35-XX)
51 Operations research, mathematical programming (90-XX)
26 Dynamical systems and ergodic theory (37-XX)
26 Numerical analysis (65-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Operator theory (47-XX)
11 Mechanics of particles and systems (70-XX)
10 Probability theory and stochastic processes (60-XX)
9 Functional analysis (46-XX)
9 Global analysis, analysis on manifolds (58-XX)
6 Difference and functional equations (39-XX)
6 Fluid mechanics (76-XX)
6 Quantum theory (81-XX)
5 Real functions (26-XX)
5 Computer science (68-XX)
5 Mechanics of deformable solids (74-XX)
2 General and overarching topics; collections (00-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Differential geometry (53-XX)
2 Statistics (62-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Mathematics education (97-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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