Edit Profile (opens in new tab) Ledzewicz, Urszula Co-Author Distance Author ID: ledzewicz.urszula Published as: Ledzewicz, Urszula; Ledzewicz-Kowalewska, Urszula; Ledzewicz, U.; Łedzewicz-Kowalewska, Urszula; Ledzewicz-Kowalewska, U.; Lȩdzewicz-Kowalewska, Urszula; Łȩdzewicz-Kowalewska, Urszula more...less Further Spellings: Łędzewicz, Urszula Homepage: https://p.lodz.pl/en/research/most-prominent-scientists/professor-urszula-ledzew... External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 116 Publications since 1985, including 2 Books and 1 Additional arXiv Preprint 9 Contributions as Editor Biographic References: 1 Publication Co-Authors: 63 Co-Authors with 101 Joint Publications 1,896 Co-Co-Authors all top 5 Co-Authors 24 single-authored 84 Schättler, Heinz Michael 6 Friedman, Avner 6 Maurer, Helmut 6 Walczak, Stanislaw 5 Leszczynski, Maciej 5 Nowakowski, Andrzej 4 Moore, Helen 4 Ratajczyk, Elzbieta 3 d’Onofrio, Alberto 3 Kashdan, Eugene 3 Naghnaeian, Mohammad 3 Świerniak, Andrzej P. 2 Amini, Behrooz 2 Bezman, Natalie 2 de Pinho, Maria do Rosário 2 Galewski, Marek 2 Jay Cho, Hearn 2 Munden, James 2 Robbins, Michael W. 2 Schmeidel, Ewa L. 2 Wang, Shuo 1 Aghaee, Mahya 1 André, Nicolas 1 Banasiak, Jacek 1 Bratton, Kenneth 1 Brown, Tim W. C. 1 Cardwell, Benjamin 1 Dehkordi, Siamak Mahmoudian 1 Drábek, Pavel 1 Ferreira, Maria Margarida Amorim 1 Gahrooi, Mostafa Reisi 1 Gallaher, Jill 1 Heng, Marie Amélie 1 Kałamajska, Agnieszka 1 Kim, Yangjin 1 Kuang, Yang 1 Lachowicz, Mirosław 1 Larripa, Kamila 1 Li, Bingtuan 1 Li, Jiaxu 1 Lou, Yuan 1 Lungu, Edward M. 1 Maini, Philip Kumar 1 Marriott, John M. 1 Mosalman, Mozhdeh Sadat Faraji 1 Olumoye, Omeiza 1 Othmer, Hans G. 1 Pasquier, Eddy 1 Passey, Chaitali 1 Piotrowska, Monika Joanna 1 Przeradzki, Bogdan 1 Radunskaya, Ami Elizabeth 1 Renardy, Marissa 1 Shelat, Suresh 1 Shtylla, Blerta 1 Sochen, Nir 1 Strauss, Lewis 1 Szymańska, Zuzanna 1 Tania, Nessy 1 White, Diana 1 Wood, Karen 1 Yun, Chae-Ok 1 Zhu, Lie 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 all top 5 Fields 105 Calculus of variations and optimal control; optimization (49-XX) 67 Biology and other natural sciences (92-XX) 32 Systems theory; control (93-XX) 10 General and overarching topics; collections (00-XX) 10 Partial differential equations (35-XX) 7 Operations research, mathematical programming (90-XX) 6 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.