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prof. dr hab. Urszula Ledzewicz

Urszula Ledzewicz 1

  Zakład Modelowania Matematycznego

  Stanowisko: profesor badawczy

  Pokój: 136

  Telefon: (+48) 42 631-38-54

  e-mail: urszula.ledzewicz@p.lodz.pl

 

 

Treść (rozbudowana)
Doktoranci
  • Maciej Leszczyński, Wpływ farmakometryki na sterowania optymalne w modelach matematycznych terapii raka, 2019
  • Elżbieta Ratajczyk, Dynamika i sterowanie optymalne w modelu matematycznym skojarzonego leczenia glejaka, 2017
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Autorstwo i Redakcja Książek oraz Wydań Specjalnych
  • Hans Otmer, Yuan Lou, Pilip Maini, Urszula Ledzewicz, Introduction to the Special Collection in honor of Avner Friedman, Journal of Mathematical Biology, https://doi.org/10.1007/s00285-022-01864-7, 2023
  • Urszula Ledzewicz, P. Drabek, A. Friedman, Marek Galewski, M.de Pinho, Bogdan Przeradzki, E. Schmeidel, Dynamical Systems and Application,s, Preface, Discrete and Continuous Dynamical Systems, Series B, 2018
  • A. Friedman, Urszula Ledzewicz, M. Lachowicz, M. Piotrowska, Z. Szymanska, Micro and Macro Systems in Life Sciences, Mathematical Biosciences and Engineering, 2017
  • A. Friedman, Y. Kim, E. Kashdan, Urszula Ledzewicz, C. Yun, Cancer Modelling, , 2015
  • Heinz Schättler, Urszula Ledzewicz, Optimal Control for Mathematical Models of Cancer Therapies - An Application of Geometric Methods, Springer-Verlag, Interdisciplinary Applied Mathematics, Vol. 42, 496 pages, 2015
  • Marek Galewski, Urszula Ledzewicz, A. Nowakowski, A. Kałamajska, E .Schmeidel, A. Swierniak, Dynamical Systems and Applications, Discrete and Continuous Dynamical Systems, Series B, 2014
  • A. Friedman, Urszula Ledzewicz, H. Schaettler, Jacek Banasiak, Mathematical Methods in Systems Biology and Population Dynamics, Mathematical Biosciences and Engineering, 2013
  • B. Guan, J. Guo, Urszula Ledzewicz, Y. Lou, F. Reitich, In honor of Avner Friedman, Discrete and Continuous Dynamical Systems, Series B, 2012
  • H. Schättler, Urszula Ledzewicz, Geometric Optimal Control: Theory, Methods, Examples, Springer-Verlag, Interdisciplinary Applied Mathematics, Vol. 38, 640 pages, 2012
  • A. Friedman, Urszula Ledzewicz, H. Schaettler, E. Kashdan, Mathematical Models and Methods in Biomedicine, Springer-Verlag, Mathematical Modeling of Life Sciences, 430 pages, 2012
  • Urszula Ledzewicz, H. Schaettler, E. Kashdan, N. Sochen, Mathematical Methods in Systems Biology, Mathematical Biosciences and Engineering, 2011
  • Y. Kuang, Urszula Ledzewicz, A. Radunskaya, B. Li, J. Li, Mathematical Biology and Medicine, Discrete and Continuous Dynamical Systems, Series B, 2009
  • Urszula Ledzewicz, A. Świerniak, Dynamics and Control of Biomedical Systems, Mathematical Biosciences and Engineering, 2005
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Publikacje w Czasopismach Naukowych
  • Urszula Ledzewicz and Heinz Schaettler, High order necessary conditions for optimality for abnormal points, in Encyclopedia of Optimization, P.M. Pardalos, O. A. Prokopyev (eds.),  Springer Nature Switzerland AG 2024  https://doi.org/10.1007/978-3-030-54621-2_266-1 (20 -pkt.)-rozdział w monografii 
  • Urszula Ledzewicz and Heinz Schaettler, Optimal dosage protocols for mathematical models of synergy of chemo- and immunotherapy, Frontiers in Immunology, 14: 1303814(2024), doi: 10.3389/fimmu.2023.130 3814 (140 punktów)
  • Urszula Ledzewicz, Helmut Maurer, Heinz Schaettler,  Bang-bang optimal controls for a mathematical model of chemo- and immunotherapy of cancer, Discrete and Continuous Dynamical Systems, Series B, Vol. 29 (3), pp.1481-1500, (2024), doi: 10.3934/dcdsb 2023141 (100 punktow)
  • Urszula Ledzewicz, Heinz Schaettler On the optimal control problem for a model of synergy of chemo- and immunotherapy,  Optimal Control, Applications and Methods, Vol.45, Issue 2, (2024), pp. 575-593, https://doi.org/10.1002/oca.3016 (100 punktow)
  • Mahya Aghaee, Urszula Ledzewicz et al  Determining optimal combination regimens for patients with multiple myeloma  European Journal of Pharmaceutical Sciences, Vol. 187(2023) 106-492,(100 pkt.) August 2023, doi.org/ 10.1016/j.ejsp.2023.106492
  • Urszula Ledzewicz, Heinz Schaettler, On modeling the synergy of cancer immunotherapy and radiotherapy, Communication in Nonlinear Science and Numerical Simulations, (100 pkt.), Vol.118,April 2023 (2023), https://doi.org/10.1016/j.cnsns.2022.106987
  • Urszula Ledzewicz, H.Schaettler, Pitfalls in applying optimal control to dynamical systems: An overview and editorial perspective, Discrete and Continuous Dynamical Systems, series B (100 pkt.), 27(11) (2022), pp. 6711-6722
  • Urszula Ledzewicz, Heinz Schaettler, Combination of antiangiogenic treatment with chemotherapy as a multi-input optimal control problem, Mathematical Methods in Applied Sciences (100 pkt.), 45 (5) (2022), 3058-3082
  • Urszula Ledzewicz, Heinz Schaettler, The structure of optimal protocols for a mathematical model of chemotherapy with antiangiogenic effects, SIAM Journal on Control and Optimization (100 pkt.), Vol. 60 No, 2 (2022), 1092-116
  • Urszula Ledzewicz, Heinz Schättler, On the Role of Pharmacometrics in Mathematical Models for Cancer Treatments, Discrete and Continuous Dynamical Systems - Series B, (100 pkt.), 26 (1) (2021), 483–499, doi: 10.3934/dcdsb.2020213
  • Urszula Ledzewicz, Heinz Schättler, On the Role of the Objective in the Optimization of Compartmental Models for Biomedical Therapies, Journal of Optimization Theory and Applications (JOTA), (70 pkt.), 87 (2020), 305-335
  • Maciej Leszczyński, Urszula Ledzewicz, Heinz Schättler, Optimal Control for a Mathematical Model for Chemotherapy with Pharmacometrics, Mathematical Modeling of Natural Phenomena (40 pkt.), 15 (69) (2020), DOI: 10.1051/mmnp/2020008
  • Maciej Leszczyński, Urszula Ledzewicz, Heinz Schättler, Optimal control for a mathematical model for anti-angiogenic treatment with Michaelis-Menten pharmacodynamics, Discrete and Continuous Dynamical Systems - Series B (100 pkt.), 24 (5) (2019), 2315–2334
  • Urszula Ledzewicz, Heinz Schättler, On the role of pharmacometrics and the objective in optimizing cancer therapies, Investigacion Operacional (20 pkt.), 40 (1) (2019), 3–15
  • Urszula Ledzewicz, Helmut Maurer, Heinz Schättler, Optimal combined radio- and anti-angiogenic cancer therapy, Journal of Optimization Theory and Applications (70 pkt.), 180 (1) (2019), 321–340
  • Urszula Ledzewicz, Heinz Schättler, Shuo Wang, On the role of tumor heterogeneity for optimal cancer chemotherapy, Networks and Heterogeneous Media (70 pkt.), 14 (1) (2019), 131–147
  • Jill Gallaher, Kamila Larripa, Urszula Ledzewicz, Marissa Renardy, Blerta Shtylla, Nessy Tania, Diana White, Karen Wood, Li Zhu, Chaitali Passey, Michael Robbins, Natalie Bezman, Suresh Shelat, Hearn Jay Cho, Helen Moore, A mathematical model for tumor-immune dynamics in multiple myeloma. Understanding complex biological systems with mathematics, Assoc. Women Math. Ser., Springer, Cham, 14 (2018), 89–122
  • Urszula Ledzewicz, Helen Moore, Optimal control applied to a generalized Michaelis-Menten model of CML therapy, Discrete and Continuous Dynamical Systems - Series B (30 pkt.), 23(1) (2018), 331-346, JCR
  • Elżbieta Ratajczyk, Urszula Ledzewicz, Maciej Leszczyński, Heinz Schättler, Treatment of glioma with virotherapy and TNF- inhibitors: Analysis as a dynamical system, Discrete and Continuous Dynamical Systems - Series B (30 pkt.), 23(1) (2018), 425-442, JCR
  • Helen Moore, Lewis Strauss, Urszula Ledzewicz, Optimization of combination therapy for chronic myeloid leukemia with dosing constraints, Journal of Mathematical Biology (35 pkt.), 77 (5) (2018), 1533–1561, JCR
  • Elżbieta Ratajczyk, Urszula Ledzewicz, Heinz Schättler, Optimal control for a mathematical model of glioma treatment with oncolytic therapy and TNF-α inhibitors, Journal of Optimization Theory and Applications (35 pkt.), 176 (2) (2018), 456–477, JCR
  • Urszula Ledzewicz, Shuo Wang, Heinz Schättler, Nicolas André, Marie Amélie Heng, Eddy Pasquier, On drug resistance and metronomic chemotherapy: a mathematical modeling and optimal control approach, Mathematical Biosciences and Engineering (20 pkt.), 14 (1) (2017), 217-235, JCR
  • Avner Friedman, Mirosław Lachowicz, Urszula Ledzewicz, Monika Joanna Piotrowska, Zuzanna Szymańska, Preface [Micro and macro systems in life sciences], Mathematical Biosciences and Engineering (20 pkt.), 14 (1) (2017), doi:10.3934/mbe.201701i
  • Elżbieta Ratajczyk, Urszula Ledzewicz, Maciej Leszczyński, A. Friedman, The role of TNF-alpha Inhibitor in Glioma virotherapy: a mathematical model, Mathematical Biosciences and Engineering (20 pkt.), 14 (no.1) (2017), 305-319, JCR
  • Maciej Leszczyński, Elżbieta Ratajczyk, Urszula Ledzewicz, Heinz Schättler, Sufficient conditions for optimality for a mathematical model of drug treatment with pharmacodynamics, Opuscula Mathematica (11 pkt.), 37 (3) (2017), 403-419
  • Heinz Schättler, Urszula Ledzewicz, Behrooz Amini, Dynamical properties of a minimally parametrized mathematical model for metronomic chemotherapy, Journal of Mathematical Biology (30 pkt.), 72 (5) (2016), 1255-1280, JCR
  • Urszula Ledzewicz, Kenneth Bratton, Heinz Schättler, A 3-compartment model for chemotherapy of heterogeneous tumor populations, Acta Applicandae Mathematicae (30pkt), 135 (1) (2015), 191-207, JCR
  • H. Schättler, Urszula Ledzewicz, Fields of Extremals and Sensitivity Analysis for Multi-Input Bilinear Optimal Control Problems, Discrete and Continuous Dynamical Systems (35 pkt.), 35 (9) (2015), 4611-4638, JCR
  • Yangjin Kim, Avner Friedman, Eugene Kashdan, Urszula Ledzewicz, Chae-Ok Yun, Application of ecological and mathematical theory to cancer: new challenges, Mathematical Biosciences and Engineering (20 pkt.), 12 (6) (2015), i-iv, JCR
  • Urszula Ledzewicz, Behrooz Amini, Heinz Schättler, Dynamics and control of a mathematical model for metronomic chemotherapy, Mathematical Biosciences and Engineering (20 pkt.), 12 (6) (2015), 1257-1275, JCR
  • Heinz Schättler, Urszula Ledzewicz, Optimal control of cancer treatments: mathematical models for the tumor microenvironment. Analysis and geometry in control theory and its applications, Springer INdAM Series, 11 (2015), 209-235
  • Urszula Ledzewicz, Marek Galewski, Andrzej Nowakowski, Andrzej Swierniak, Agnieszka Kalamajska, Ewa Schmeidel, Preface [Special issue in honor of Avner Friedman], Discrete Contin. Dyn. Syst. Ser. B, 19 (8) (2014), i-ii
  • H. Schättler, Urszula Ledzewicz, H. Maurer, Sufficient conditions for strong local optimality in optimal control problems with L2-type objectives and control constraints, Discrete Contin. Dyn. Syst. Ser. B, 19 (8) (2014), 2657-2679
  • Urszula Ledzewicz, N. André, S. Banavali, F. Berthold, A. Berruti, G. Bocci, G. Brandi, U. Cavallaro, S. Cinieri, M. Colleoni, G. Curigliano, T.Di Desidero, A. Eniu, N. Fazio, R. Kerbel, L. Hutchinson, E. Munzone, E. Pasquier, Scharovsky, Y. Shaked, J. Štěrba, G. Bouche, M. Villanova, F. Bertolini, Lessons from the Fourth Metronomic and Anti-angiogenic Therapy Meeting, 24-25 June 2014, e-Cancer, 8 (2014), 463/DOI: 10 333.2/ecancer.2014.463
  • Urszula Ledzewicz, Heinz Schättler, On optimal chemotherapy for heterogeneous tumors, J. Biol. Systems (15 pkt.), 22 (2) (2014), 177-197, JCR
  • Urszula Ledzewicz, H. Schättler, A review of optimal chemotherapy protocols: from MTD towards metronomic therapy, Math. Model. Nat. Phenom. (20 pkt.), 9 (4) (2014), 131-152, JCR
  • Urszula Ledzewicz, Heinz Schättler, Tumor microenvironment and anticancer therapies: an optimal control approach. Mathematical oncology 2013, Model. Simul. Sci. Eng. Technol. Birkhäuser/Springer, New York, . (2014), 295-334
  • Urszula Ledzewicz, Heinz Schättler, An optimal control approach to cancer chemotherapy with tumor-immune system interactions. Mathematical models of tumor-immune system dynamics, Springer Proc. Math. Stat./Springer, New York 2014, 107 (2014), 157-196
  • Urszula Ledzewicz, Mozhdeh Sadat Faraji Mosalman, Heinz Schättler, Optimal controls for a mathematical model of tumor-immune interactions under targeted chemotherapy with immune boost, Discrete Contin. Dyn. Syst. Ser. B, 18 (4) (2013), 1031-1051, JCR
  • Urszula Ledzewicz, Alberto d'Onofrio, Heinz Schättler, Tumor development under combination treatments with anti-angiogenic therapies. Mathematical methods and models in biomedicine, Lect. Notes Math. Model. Life Sci., Springer New York, . (2013), 311-337
  • Urszula Ledzewicz, Avner Friedman, Jacek Banasiak, Heinz Schättler, Edward Lungu, From the guest editors [Special issue on Mathematical Methods in Systems Biology and Population Dynamics], Math. Biosci. Eng., 10(3) (2013), i-ii
  • Urszula Ledzewicz, O. Olumoye, H. Schättler, On optimal chemotherapy with a strongly targeted agent for a model of tumor-immune system interactions with generalized logistic growth, Math. Biosci. Eng., 10 (3) (2013), 787-802, JCR
  • Urszula Ledzewicz, Heinz Schättler, Mostafa Reisi Gahrooi, Siamak Mahmoudian Dehkordi, On the MTD paradigm and optimal control for multi-drug cancer chemotherapy, Mathematical. Biosciences and Engineering (20 pkt.), 10(3) (2013), 803-819, JCR
  • Urszula Ledzewicz, H. Schättler, Synthesis of Optimal Controlled Trajectories with Chattering Arcs, Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms, 19 (2012), 161-186
  • Urszula Ledzewicz, H. Schaettler, A geometric interpretation, Numerical Algebra, Control and Optimization, 2(3) (2012), 631-654
  • Urszula Ledzewicz, H. Schättler, Multi-Input Optimal Control Problems for Combined Tumor Anti-Angiogenic and Radiotherapy Treatments, Optim. Theory Appl., 153 (2012), 195-224, 10.1007/s10957-011-9954
  • Urszula Ledzewicz, M. Naghneian, H. Schaettler, An optimal control approach to cancer treatment under immunological activity, Appl. Math. (Warsaw), 38 (1) (2011), 17-31
  • Urszula Ledzewicz, H. Schättler, M. Naghneian, Optimal Response to Chemotherapy for a Mathematical Model of Tumor-Immune Dynamics, J. Math. Biol., (2011), 557- 577, 10.1007/s00285-011-0424-6
  • Urszula Ledzewicz, H. Schättler, H. Maurer, Optimal and Suboptimal Protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy, Math. Biosci. Eng., 8 (2) (2011), 307-325, JCR
  • Urszula Ledzewicz, H. Schättler, B. Cardwell, Robustness of optimal controls for a class of mathematical models for tumor anti-angiogenesis, Math. Biosci. Eng., 8 (2) (2011), 335-371, 10.3934/mbe.2011.8.35, JCR
  • Urszula Ledzewicz, H. Schättler, J. Marriot, H. Maurer, Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment, Math. Med. Biol., 27 (2010), 159-179
  • Urszula Ledzewicz, H. Schaettler, V. Oussa, Optimal Solutions of a Model of Tumor Anti-Angiogenesis with a Penalty on the Cost of Treatment, Appl. Math. (Warsaw), 36 (3) (2009), 295-312
  • Urszula Ledzewicz, H. Schaettler, Singular controls and chattering arcs in optimal control problems arising in biomedicine, Control Cybernet., 38 (2009), 1501-1523
  • Urszula Ledzewicz, H. Schättler, On the optimality of singular controls for a class of mathematical models for tumor anti-angiogenesis, Discrete Contin. Dyn. Syst. Ser. B, 11 (3) (2009), 691-715
  • Urszula Ledzewicz, H. Schättler, J. Munden, Scheduling of anti-angiogenic inhibitors for Gompertzian and logistic tumor growth models, Discrete Contin. Dyn. Syst. Ser. B, 12 (2) (2009), 415-439
  • Urszula Ledzewicz, H. Schaettler, V. Oussa, Model for cancer therapy with penalty on the cost of treatment, Int. J. Pure Appl. Math., 54(1) (2009), 1-6
  • Urszula Ledzewicz, H. Schättler, A. d’Onofrio, H. Maurer, On optimal delivery of combination therapy for tumors,, Math. Biosci., 222 (2009), 13-26, doi:10.1016/j.mbs.2009.08.004, JCR
  • Urszula Ledzewicz, H. Schättler, On an extension of a mathematical model for tumor anti-Angiogenesis, Nonlinear Anal., 71 (2009), 2390-2397, 10.3934, mbe.2011.8.30, JCR
  • Urszula Ledzewicz, H. Schaettler, J. Munden, Bang-bang controls for anti-angiogenesis under logistic growth of the tumor, Int. J. Pure Appl. Math., 49(4) (2008), 511-516
  • Urszula Ledzewicz, H. Schättler, Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis, J. Theoret. Biol., 252 (2008), 295-312, JCR
  • Urszula Ledzewicz, H. Schaettler, J. Marriot, H. Maurer, Realizable protocols for optimal administration of drugs in mathematical models for novel cancer treatments, Journal of Medical Informatics and Technologies, 12 (2008), 23-29
  • Urszula Ledzewicz, H. Schättler, Analysis of a mathematical model for tumor anti-angiogenesis, Optimal Control Appl. Methods, 29 (1) (2008), 41-57
  • Urszula Ledzewicz, H. Schaettler, Minimization of the tumor volume and endothelial support for a system describing tumor anti-angiogenesis, WSEAS Trans. Bio. Biomed., 5(2) (2008), 23-33
  • Urszula Ledzewicz, H. Schättler, Model of maximizing bone marrow with pharmacokinetics, Math. Biosci., 206 (2) (2007), 320-342
  • Urszula Ledzewicz, H. Schättler, Anti-angiogenic therapy in cancer treatment as an optimal control problem, SIAM J. Control Optim., 46 (3) (2007), 1052-1079
  • Urszula Ledzewicz, H. Schaettler, On a class of systems describing tumor anti-angiogenesis under Gompertzian growth, WSEAS Trans. Syst., 4(6) (2007), 758-766
  • Urszula Ledzewicz, H. Schättler, Drug resistance in cancer chemotherapy as an optimal control problem, Discrete Contin. Dyn. Syst. Ser. B, 6 (1) (2006), 129-150
  • Urszula Ledzewicz, Optimal Control for a System Modeling Tumor Anti-Angiogenesis, ICGST-International Journal of Automatic Control and Systems Engineering, 6 (Special Issue) (2006), 33-39
  • Urszula Ledzewicz, H. Schättler, The influence of PK/PD on the structure of optimal control in cancer chemotherapy models, Math. Biosci. Eng., 2 (3) (2005), 561-578, JCR
  • Urszula Ledzewicz, M. de Pinho, M.M. Ferreira, H. Schättler, A model for cancer chemotherapy with state space constraints, Nonlinear Anal., 63 (5) (2005), 2591-2602, JCR
  • Urszula Ledzewicz, H. Schaettler, S. Walczak, Optimal control system governed by second-order ODEs with Dirichlet boundary data and variable parameters, Illinois J. Math., 47(4) (2004), 1189-1206
  • Urszula Ledzewicz, H. Schättler, A. Nowakowski, Stratifiable families of extremals and sufficient conditions for optimality in optimal control problems, J. Optim. Theory Appl., 122 (2) (2004), 105-130, JCR
  • Urszula Ledzewicz, H. Schaettler, A. Swierniak, Finite dimensional models of drug resistant and phase specific cancer chemotherapy, Journal of Medical Information Technology, 8 (2004), 5-13
  • Urszula Ledzewicz, H. Schättler, Controlling a model for bone marrow dynamics in cancer chemotherapy, Math. Biosci. Eng., 1(1) (2004), 95-110, JCR
  • Urszula Ledzewicz, T. Brown, H. Schättler, A comparison of optimal controls for a model in cancer chemotherapy with L1- and L2-type objectives, Optim. Methods Softw., 19 (3-4) (2004), 351-359
  • Urszula Ledzewicz, H. Schättler, A. Swierniak, Optimal control for a class of compartmental models in cancer chemotherapy, Int. J. Appl. Math. Comput. Sci., 13 (3) (2003), 357-368
  • Urszula Ledzewicz, H. Schättler, Analysis of a cell-cycle specific model for cancer chemotherapy, J. Biol. Systems, 10 (3) (2002), 183-206
  • Urszula Ledzewicz, H. Schättler, Optimal bang-bang controls for a 2-compartment model in cancer chemotherapy, J. Optim. Theory Appl., 114 (3) (2002), 609-637, JCR
  • Urszula Ledzewicz, H. Schättler, S. Walczak, Stability of elliptic optimal control problems, Comput.Math. Appl., 41 (2001), 1245-1256
  • Urszula Ledzewicz, H. Schättler, A. Nowakowski, A local generalized Hilbert invariant integral, Nonlinear Anal., 47 (2001), 399-410, JCR
  • Urszula Ledzewicz, H. Schättler, On generalizations of the Euler-Lagrange equation, Nonlinear Anal., 47 (2001), 339-350, JCR
  • Urszula Ledzewicz, H. Schättler, A high-order generalized local Maximum principle, SIAM J. Control Optim., 38 (3) (2000), 823-855
  • Urszula Ledzewicz, H. Schaettler, S. Walczak, A high-order open mapping theorem in Banach spaces, Nonlinear Stud., 6 (1) (1999), 1-10
  • Urszula Ledzewicz, S. Walczak, Optimal control of systems governed by elliptic equations, Discrete Contin. Dyn. Syst. Ser. B, 5 (2) (1998), 279-290
  • Urszula Ledzewicz, H. Schättler, A high order generalization of the Lyusternik theorem, Nonlinear Anal., 34 (6) (1998), 793-815, JCR
  • Urszula Ledzewicz, H. Schättler, High-order approximations and generalized necessary conditions for optimality, SIAM J. Control Optim., 37 (1) (1998), 33-56
  • Urszula Ledzewicz, A. Nowakowski, Optimality conditions for control problems governed by abstract semilinear differential equations in complex Banach spaces, J. Appl. Anal., 3 (1) (1997), 67-91
  • Urszula Ledzewicz, H. Schättler, An Extended Maximum Principle, Nonlinear Anal., 29 (2) (1997), 159-183, JCR
  • Urszula Ledzewicz, H. Schättler, High-order tangent cones and their application in optimization, Nonlinear Anal., 30 (4) (1997), 2449-2460, JCR
  • Urszula Ledzewicz, H. Schättler, Second Order Conditions for Extremum Problems with Nonregular Equality Constraints, J. Optim. Theory Appl., 86 (1) (1995), 113-144, JCR
  • Urszula Ledzewicz, S. Walczak, On the Lusternik Theorem for Nonsmooth Operators, Nonlinear Anal., 22 (2) (1994), 121-128, JCR
  • Urszula Ledzewicz, The Extremum Principle for Some Types of Distributed Parameter Control Problems, Appl. Anal., 48 (1993), 1-21
  • Urszula Ledzewicz, On Some Distributed Parameter Control Systems with Terminal Data in the Abnormal Case and in the Case of Nonoperator Equality Constraints, J. Appl. Math. Stoch. Anal., 6 (2) (1993), 137-151
  • Urszula Ledzewicz, On Abnormal Optimal Control Problems with Mixed Equality and Inequality Constraints, J. Math. Anal. Appl., 173(1) (1993), 18-42, JCR
  • Urszula Ledzewicz, An Extension of the Local Maximum Principle to Abnormal Optimal Control Problems, J. Optim. Theory Appl., 77(3) (1993), 661-681, JCR
  • Urszula Ledzewicz, On the Optimal Control Problems of Parabolic Equatons with an Infinite Number of Variables and with Equality Constraints, Differential Integral Equations, 4 (1991), 369-381
  • Urszula Ledzewicz, On the Euler-Lagrange Equation in the Case of Nonregular Operator Equality Constraints, J. Optim. Theory Appl., 71 (3) (1991), 549-568, JCR
  • Urszula Ledzewicz, Optimality and Pareto Optimality Conditions for the Problems with Nonregular Operator Equality Constraints, Nonlinear Anal., 16 (4) (1991), 347-360, JCR
  • Urszula Ledzewicz, A Necessary and Sufficient Condition for Altman's Maximal Element Problem for Constraint Sets with Many Equalities, Nonlinear Anal., 13 (7) (1989), 833-840, JCR
  • Urszula Ledzewicz, Optimal Control Problems of Hyperbolic Systems with Operator and Nonoperator Equality Constraints, Appl. Anal., 27 (1988), 199-215
  • Urszula Ledzewicz, Tangent Directions for a Class of Nonlinear Evolution Equations, Differential Integral Equations, 1 (4) (1988), 409-422
  • Urszula Ledzewicz, A Necessary Condition for the Extremal Problems under Gateaux Differentiability, J. Math. Anal. Appl., 134 (1) (1988), 158-168, JCR
  • Urszula Ledzewicz, On the Optimal Control Problems with Gateaux Differentiable Operator Constraints, J. Math. Anal. Appl., 130 (2) (1988), 301-315
  • Urszula Ledzewicz, Application of Some Specification of the Dubovitskii-Milyutin Method to Problems of Optimal Control, Nonlinear Anal., 12 (2) (1988), 101-108, JCR
  • Urszula Ledzewicz, The Extremum Principle for Problems of Optimal Control with Mixed Constraints, Folia Math., 2 (1987), 37-59
  • Urszula Ledzewicz, Application of the Method of Contractor Directions to the Dubovitskii-Milyutin Formalism, J. Math. Anal. Appl., 125 (1) (1987), 174-184, JCR
  • Urszula Ledzewicz, The Necessary and Sufficient Condition for the Problem of Optimal Control of Parabolic Systems with Equality Constraints, Bull. Soc. Sci. Lett. Łodz Ser. Rech. Deform., 30 (1986), 1-12
  • Urszula Ledzewicz, On Some Specification of the Dubovitskii-Milyutin Method, Nonlinear Anal., 10(12) (1986), 1367-71, JCR
  • Urszula Ledzewicz, A Necessary Condition for a Problem of Optimal Control with Equality and Inequality Constraints, Control Cybernet., 14 (4) (1985), 351-360
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Publikacje w Materiałach Konferencyjnych
  • H. Schättler, Urszula Ledzewicz, Y. Kim, A. de los Reyes, E. Jung, On the control of cell migration and proliferation in glioblastoma, Proceedings of the 52nd IEEE Conference on Decision and Control, December 2013, Florence, Italy, pp. 1810-1815.
  • Urszula Ledzewicz, H. Schaettler, S. Mahmoudian, M. Reisi, A Geometric Analysis of Bang-Bang Extremals in Optimal Control Problems for Combination Cancer Chemotherapy, Proceedings of 51st IEE Conference on Decision and Control, Maui, December 2012, pp. 7691-7696
  • Urszula Ledzewicz, H. Schaettler, M. Faraji, On Optimal Protocols for Combinations of Chemo- and Immunotherapy, Proceedings of 51st IEE Conference on Decision and Control, Maui, December 2012, pp. 7492-7497
  • Urszula Ledzewicz, H. Schaettler, S. Mahmoudian, M. Reisi, Optimal Control of Multi-Input Systems for Cancer Chemotherapy, Latest Advances in Systems Science and Computational Intelligence, pp. 31-36, (2012), ISBN:978-1-61804-094-7
  • Urszula Ledzewicz, M. Naghneian, H. Schaettler, Dynamics of Tumor-Immune Interactions under Treatment as an Optimal Control Problem, supplement to Discrete and Continuous Dynamical Systems, Series B, (2011), AIMS Proceedings, pp.971-980
  • Urszula Ledzewicz, H. Schaettler, On optimal singular controls for a general SIR-model with vaccination and treatment, supplement to Discrete and Continuous Dynamical Systems, Series B, 2011, AIMS Proceedings, pp.981-990
  • Urszula Ledzewicz, H. Schaettler, M. Naghneian, Bifurcation of singular arcs in an optimal control problem for cancer immune system interactions under treatment, Proceedings of the 49th IEEE Conference on Decision and Control, (2010)
  • Urszula Ledzewicz, H. Schaettler, On the mathematical model of a combined anti-angiogenic and radiotherapy treatment, Proceedings of the 16th Conference on Applications of Mathematics to Biology and Medicine, (2010), pp. 76-81.
  • Urszula Ledzewicz, H. Schaettler, H. Maurer, Bang-bang and singular controls in mathematical model for combined anti-angiogenic and chemotherapy treatment, Proceedings of 48th IEEE Conference on Decision and Control, CDC 2009, Shanghai, China, pp 2280-2285
  • Urszula Ledzewicz, H. Schaettler, On optimal control for a model of cancer treatment with immunological activity, Proceedings of the Conference on Applications of Mathematics in Biology and Medicine, Szczyrk, September 15-19, 2009, pp. 76-81Proceedings of the Conference on Applications of Mathematics in Biology and Medicine, Szczyrk, September 15-19, 2009, pp. 76-81
  • Urszula Ledzewicz, H. Schaettler, A. Berman, On the structure of optimal protocols for a mathematical model of tumor anti-angiogenic therapy with linear pharmacokinetics, Proceedings of 3rd IEEE Multi Conference on Systems and Control, Saint Petersburg, 2009, pp. 71-76
  • Urszula Ledzewicz, H. Schaettler, Optimal controlled trajectories for a mathematical model of anti-angiogenic therapy in cancer, Proceedings of 48th IEEE Conference on Decision and Control, CDC 2009, Shanghai, China, December 2009, pp. 1201-1206
  • Urszula Ledzewicz, H. Schaettler, J. Marriot, Piecewise constant suboptimal controls for a system describing tumor growth under angiogenic treatment, Proceedings of 3rd IEEE Multi Conference on Systems and Control, Saint Petersburg, 2009, pp. 77-82
  • Urszula Ledzewicz, H. Schaettler, Yi Liu, The effect of pharmacokinetics on optimal protocols for a mathematical model of tumor anti-angiogenic therapy, Proceedings of 2009 American Control Conference, (2009) pp. 1060-1065
  • Urszula Ledzewicz, H. Schaettler, Effect of the objective on the optimal control for a system describing tumor anti-angiogenesisEffect of the objective on the optimal control for a system describing tumor anti-angiogenesis, Proceedings of the 12th WSEAS International Conference on Systems, part II, 2008, pp.483-490
  • Urszula Ledzewicz, H. Schaettler, A. d'Onofrio, Optimal control for combination therapy in cancer, Proceedings of the 47rd IEEE Conference on Decision and Control, Cancun, Mexico, December 2008, pp. 1537-1542
  • Urszula Ledzewicz, H. Schaettler, Analysis of models for evolving drug resistance in cancer chemotherapy, DCDIS (Dynamics of Continuous, Discrete and Impulsive Systems), Proceedings 2, (2006), pp. 291-304
  • Urszula Ledzewicz, H. Schaettler, Application of optimal control to a system describing tumor anti-angiogenesis, Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, July 2006, pp. 478-484
  • Urszula Ledzewicz, H. Schaettler, Singular controls in systems describing tumor anti-angiogenesis, Proc. Of the 5th WSEAS Conference on Systems Science and Simulation in Engineering, Tenerife, Spain, December 2006, pp. 156-161
  • Urszula Ledzewicz, H. Schaettler, A synthesis of optimal controls for a model of tumor growth under angiogenic inhibitors, Proceedings of the 44rd IEEE Conference on Decision and Control, Seville, Spain, December 12-15, 2005, pp. 934-939
  • Urszula Ledzewicz, H. Schaettler, A. Swierniak, J. Smieja, Drug resistance and phase specificity of cancer chemotherapy- Finite versus Infinite Dimensional Models, Proceedings of 5th IASTED Conference on Modeling, Simulation and Optimization, Oranjestad, Aruba, 2005, no. 471-065
  • Urszula Ledzewicz, H. Schaettler, Optimal Control for a System Modeling Tumor Anti-Angiogenesis, Proceedings of the ICGST International Conference on Automatic Control and System Engineering ACSE-05, Cairo, Egypt, December 19-21, 2005, pp. 147-152
  • Urszula Ledzewicz, H. Schaettler, A local field of extremals for single-input systems with state space constraints, the Proc. of the 43rd IEEE Conf. on Decision and Control, The Bahamas, December 2004, pp. 923-928
  • Urszula Ledzewicz, H. Schaettler, Application of control theory in modeling cancer chemotherapy, ICCAS 2004, Proceedings of the Int. Conf. on Control, Automation and Systems, Bangkok, Thailand, August 2004, pp. 330-335
  • Urszula Ledzewicz, H. Schaettler, A. Swierniak, Singular controls are not optimal for compartmental models of cancer chemotherapy, Proceedings of X Conference on Application of Mathematics in Biology and Medicine, Jodlowy Dwor, Poland, September 2004, pp.213-218
  • Urszula Ledzewicz, H. Schaettler, The structure of optimal controls for a cancer chemotherapy model with PK/PD equations, the Proc. of the 43rd IEEE Conf. on Decision and Control, The Bahamas, December 2004, pp.1376-1381
  • Urszula Ledzewicz, H. Schaettler, Optimal control for a bilinear model with recruiting agent in cancer chemotherapy, Proceedings of the 42nd IEEE Conference on Decision and Control (CDC), Maui, Hawaii, December 2003, pp.2762-2767
  • Urszula Ledzewicz, H. Schaettler, Analysis of a class of optimal control problems arising in cancer chemotherapy, Proceedings of the 2002 American Control Conference, Anchorage, Alaska, 2002, pp. 3460-3465
  • Urszula Ledzewicz, H. Schaettler, On optimal controls for a general mathematical model for chemotherapy of HIV, Proceedings of the 2002 American Control Conference, Anchorage, Alaska, 2002, pp. 3454-3459
  • Urszula Ledzewicz, H. Schaettler, Optimal control for a 3-compartment model for cancer chemotherapy with quadratic objective, Dynamical Systems and Differential Equations, (W. Feng, S, Hu and X. Lu, Eds., A supplement volume to Discrete and Continuous Dynamical Systems), Proceedings of the 4th International Conference on Dynamical Systems and Differential Equations, Wilmington, NC, 2002, p. 544-553
  • Urszula Ledzewicz, H. Schaettler, Optimal controls for a two-compartment model for cancer chemotherapy with quadratic objective, Proceedings of the 5th Portuguese Conference on Automatic Control (Controlo 2002), Aveiro, Portugal, 2002, pp. 241-247
  • Urszula Ledzewicz, H. Schaettler, Sufficient conditions for optimality of controls in biomedical systems, Proceedings of the 41st IEEE Conference on Decision and Control (CDC), Las Vegas, Nevada, 2002, pp. 3524-29
  • Urszula Ledzewicz, H. Schaettler, On optimal controls for a 3-compartment model of cancer chemotherapy, Proceedings of IASTED International Conference on Control and Applications, Banff, Canada, 2001, pp. 109-114
  • Urszula Ledzewicz, H. Schaettler, A high-order maximum principle for abnormal extremals - examples, Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp.136-141
  • Urszula Ledzewicz, H. Schaettler, On the synthesis of controls for a mathematical model of cancer chemotherapy, Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp. 4845-4850
  • Urszula Ledzewicz, H. Schaettler, Optimal control for a mathematical model of cancer chemotherapy, Control and Applications, Proceedings of the IASTED International Conference, Cancun, Mexico, 2000, pp. 8-14
  • Urszula Ledzewicz, H. Schaettler, A. Nowakowski, Generalized fields of extremals, in: Mathematical Theory of Networks and Systems, Proceedings of the MTNS-98 Symposium, Padova, Italy, 1999, pp. 277-281
  • Urszula Ledzewicz, H. Schaettler, High-order approximations for abnormal bang-bang extremals, System Modeling and Optimization, P. Kall, I. Lasiecka and M. Polis, Eds., (Proceedings of the 18th IFIP Conference on Mathematical Modelling and Optimization), Addison-Wesley-Longman Publ. Co., 1999, pp. 126-135
  • Urszula Ledzewicz, H. Schaettler, High-order approximations in Optimal Control Theory: a comparison of normal, abnormal and singular cases, Mathematical Theory of Networks and Systems, Proceedings of the MTNS-98 Symposium, Padova, Italy, 1999, pp. 282-285
  • Urszula Ledzewicz, H. Schaettler, A high-order generalization of the Lyusternik theorem and its application to optimal control problems, Dynamical Systems and Differential Equations, Vol. II, W. Chen and S. Hu, Eds., 1998, pp. 45-59, (Proceedings of the International Conference on Dynamical Systems and Differential Equations, Springfield, Missouri, June 1996)
  • Urszula Ledzewicz, H. Schaettler, Analysis of abnormal extremals in optimal control, Proceedings of Symposia in Pure Mathematics, H. Sussmann and G. Ferreyra, Eds., Proceedings of Symposia in Pure mathematics, Vol. 64, American Mathematical Society, 1998, pp. 223-239
  • Urszula Ledzewicz, A. Nowakowski, Dual optimal synthesis for optimal control problems with abstract semilinear differential equations, Dynamical Systems and Differential Equations, Vol. II, W. Chen and S. Hu, 1998, Eds., pp. 32-44, (Proceedings of the International Conference on Dynamical Systems and Differential Equations, Springfield, Missouri, June 1996)
  • Urszula Ledzewicz, H. Schaettler, Perturbation feedback control and neighboring extremals in the abnormal case, Proceedings of the IASTED International Conference on Control and Applications, Honolulu, Hawaii, August 1998, pp. 161-166
  • Urszula Ledzewicz, H. Schaettler, A generalization of the Lyusternik theorem and high order approximations in Optimization, Proceedings of the 2nd Portuguese Conference on Automatic Control, Porto, Portugal, September 1996, pp. 455-460
  • Urszula Ledzewicz, H. Schaettler, An Extended Global Maximum Principle, Proceedings of 34th IEEE Conference on Decision and Control, New Orleans, pp. 3922-3928, December 1995
  • Urszula Ledzewicz, H. Schaettler, A theory of first and second order conditions for nonregular extremum problems, Optimal Control of Differential Equations and Variational Inequalities ( editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Vol.160, pp. 237-250, 1994
  • Urszula Ledzewicz, A. Nowakowski, Necessary and sufficient conditions for optimlity for nonlinear control problems in Banach spaces, Optimal Control of Differential Equations and Variational Inequalities ( editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Vol.160, pp. 195-216, 1994
  • Urszula Ledzewicz, H. Schaettler, Pareto optimality conditions for abnormal optimization and optimal control problems, Optimal Control of Differential Equations and Variational Inequalities (editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Vol.160, pp. 217-235, 1994
  • Urszula Ledzewicz, H. Schaettler, Second order conditions for optimality in abnormal optimal control problems, Proceedings of 33 IEEE Conference on Decision and Control, Orlando, December 1994, pp.2594-2599
  • Urszula Ledzewicz, H. Schaettler, Second order conditions for optimality in abnormal optimal control problems, Proceedings of 33 IEEE Conference on Decision and Control, Orlando, December 1994, pp.2594-2599
  • Urszula Ledzewicz, H. Schaettler, A theory of first and second order conditions for nonregular extremum problems, Optimal Control of Differential Equations and Variational Inequalities ( editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Vol.160, pp. 237-250, 1994
  • Urszula Ledzewicz, H. Schaettler, A theory of first and second order conditions for nonregular extremum problems, Optimal Control of Differential Equations and Variational Inequalities ( editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Vol.160, pp. 237-250, 1994
  • Urszula Ledzewicz, A. Nowakowski, Necessary and sufficient conditions for optimlity for nonlinear control problems in Banach spaces, Optimal Control of Differential Equations and Variational Inequalities ( editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Vol.160, pp. 195-216, 1994
  • Urszula Ledzewicz, A. Nowakowski, Necessary and sufficient conditions for optimlity for nonlinear control problems in Banach spaces, Optimal Control of Differential Equations and Variational Inequalities ( editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Vol.160, pp. 195-216, 1994
  • Urszula Ledzewicz, H. Schaettler, Pareto optimality conditions for abnormal optimization and optimal control problems, Optimal Control of Differential Equations and Variational Inequalities (editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Vol.160, pp. 217-235, 1994
  • Urszula Ledzewicz, H. Schaettler, Pareto optimality conditions for abnormal optimization and optimal control problems, Optimal Control of Differential Equations and Variational Inequalities (editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, Vol.160, pp. 217-235, 1994
  • Urszula Ledzewicz, S. Walczak, Generalizations of the Lusternik theorem and their applications to nonsmooth and abnormal problems in optimization and optimal control, Proceedings of the First World Congress of Nonlinear Analysts, Tampa (Florida), August, 1992, Vol. III, pp. 2583-2594, Walter de Gruyter, 1996
  • Urszula Ledzewicz, Application of the Moser's Technique to the Tangent Direction Problem for Nonlinear Evolution Equations, Differential Equations, Stability and Control, (editor: S. Elaydi, Proceeding of the International Conference of the Differential Equations, Theory and Applications in Stability and Control, Colorado Springs, June 1989), Lectures Notes in Pure and Applied Mathematics, Vol.127, Marcel Dekker, pp. 363-375, 1990
  • Urszula Ledzewicz, Application of Global Linearization Iterative Methods to General Optimal Control Problems in Banach Spaces, Differential Equations and Applications, (editor: A.R. Aftabizadeh, Proceeding on the International Conference on the Theory and Applications of Differential Equations, Columbus, Ohio, March 1988), Ohio University Press, Athens, Vol.2, pp. 103-109, 1989
  • Urszula Ledzewicz, On Some Optimal Control Problems of Differential Equations with Additional Equality Contraints, Modern Optimal Control (editor: E. Roxin, Proceeding of the International Conference in Honor of Solomon Lefschetz and Joseph P.LaSalle, 30 Years of Modern Optimal Control Theory, Kingston, Rhode Island, June 1988), Lecture Notes in Pure and Applied Mathematics, Vol. 119, Marcel Dekker, pp.259-271, 1989
  • Urszula Ledzewicz, Applications of the Method of Contractor Directions to Optimization Theory, Proceedings of the Conference of Applied Mathematics, Sielpia, (Poland), pp. 168-173, 1986
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