Research of Urszula Ledzewicz
Lectures at the SILESIAN UNIVERSITY OF TECHNOLOGY in Gliwice,
Poland, May 11-15, 2009
1.
Lecture 1, Part 1:
Optimal Control of Compartmental Models in Cancer Chemotherapy - Analysis of
Models
2.
Lecture 1, Part 2:
Optimal Control of Compartmental Models in Cancer Chemotherapy - PK/PD and Drug
Resistance
3.
Lecture 2, Part 1:
Optimal Protocols for Models of Tumor Anti-Angiogenesis - Analysis of Models
4.
Lecture 2, Part 2:
Optimal Protocols for Models of Tumor Anti-Angiogenesis - Modifications of
Models
5.
Lecture 3, Part 1:
Realizable Suboptimal Protocols for Tumor Anti-Angiogenesis
6.
Lecture 3, Part 2:
Extensions of the Mathematical Model for Tumor Anti-Angiogenesis –
Pharmacokinetics and Combination therapy
INVITED LECTURES, PAPERS PRESENTED, COLLOQUIUM TALKS
1. Optimal and realizable protocols for tumor antiangiogenesis and combination therapy, Lectures on Modeling of Cancer Growth and
Treatments, Estoril, Portugal, December 8-9,
2008.
2. The scheduling of angiogenic
inhibitors minimizing tumor volume, XIII International Conference on
Medical Informatics and Technologies, Szczawnica,
Poland, October 16-18, 2008.
3. Optimal protocols for cancer: anti-angiogenesis, Part
I and II, at the University of Lodz, October 7 and 15, 2008.
4.
Singular controls
and chattering arcs in synthesis of optimal solutions for mathematical models
in biomedicine, International Conference
“50 years of Optimal Control Theory” Bedlewo,
Poland, September 15-20, 2008.
5.
Application of
optimal control to mathematical models of cancer growth and treatment,
Conference on Application of Mathematics to Biology and Medicine,
6.
Application of
optimal control to mathematical models for cancer, the Fifth International Conference on Applied Mathematics and Computing,
7.
On dynamical
systems describing tumor growth under novel treatments, 12th WSEAS International Conference on Systems,
8.
Analysis of
Mathematical Models for Novel Cancer Treatments, World Congress of Nonlinear Analysts, July 2008.
9.
Multi-control
problems arising in cancer treatments combining angiogenic
inhibitors with chemotherapy, the 7th International Conference on
Dynamical Systems, Differential Equations and Applications, Arlington,
Texas, May 2008
10.
Mathematical
models of novel cancer therapies as optimal control problems, at the Department
of Mathematics, University of Hawaii,
March 2008
11.
Optimal
and suboptimal protocols for a class of mathematical models of tumor growth
under angiogenic inhibitors, First Joint AMS-NZMS International Meeting, Victoria University of
Wellington, New Zealand, December 2007
12.
Synthesis
of optimal controls for mathematical models of tumor anti-angiogenesis, First Joint AMS-PTM International Meeting,
Warsaw University, Warsaw, Poland, August 2007
13.
A
comparison of optimal and sub-optimal strategies for models of tumor
anti-angiogenesis, Part I, 23rd IFIP TC7 Conference on Modeling and
Optimization, AGH University of Science and Technology,
14.
Dynamics
and control of cancer growth under anti-angiogenic
treatment, Fifth International Conference
on Dynamical Systems and Applications, Morehouse College, Atlanta, June
2007
15.
Optimal
protocols for mathematical models of tumor anti-angiogenesis, Universidad Mayor de
16.
Application
of optimal control to mathematical models of tumor anti-angiogenesis,
17.
Control
of dynamical systems in models for cancer treatments, (plenary talk) Fifth
WSEAS Conference on Systems Science and Simulation in Engineering,
18.
Singular
controls in systems describing tumor anti-angiogenesis, Fifth WSEAS
Conference on Systems Science and Simulation in Engineering,
19.
Minimizing
the tumor size in mathematical models for novel cancer treatment:
anti-angiogenesis, Eighth Midwest Optimization Conference,
20.
Application
of optimal control to a system describing tumor anti-angiogenesis, 17th
International Symposium on Mathematical Theory of Networks and Systems
(MTNS),
21.
A
comparison of optimal controls for mathematical models of tumor
anti-angiogenesis, World Conference on Differential Equations and
Applications (EQUA-DIFF 06),
22.
An
Optimal Control Approach to Mathematical Models of Tumor Anti-Angiogenesis Dept.
of Mathematics and Applied Mechanics, Warsaw University, Warsaw, Poland,
June 2006
23.
New
perspectives in control of biomedical systems, (plenary talk) ICGST International Conference on Automatic
Control and System Engineering ACSE-05,
24.
Optimal
Control for a System Modelling Tumor
Anti-Angiogenesis, ICGST International Conference on Automatic Control
and System Engineering ACSE-05, Cairo, Egypt, December 19-21, 2005.
25.
A
synthesis of optimal controls for a model of tumor growth under angiogenic inhibitors, the 44rd IEEE Conference on
Decision and Control, Seville, Spain, December 12-15, 2005.
26.
Analysis
of new mathematical models in biomedicine,
27.
New
directions in analysis and optimal control of biomedical systems, The Stefan
Banach International Mathematical Center, Polish
Academy of Sciences, Warsaw, Poland, December 8, 2005
28.
Optimal
control for mathematical models of cancer treatments under evolving drug
resistance, Imperial College,
29.
Analysis
of optimal controls for a mathematical model of tumor anti-angiogenesis,
Workshop on Angiogenesis and Other Aspects of Tumor Growth,
30.
Application
of optimal control to modeling of a new method of cancer treatment:
anti-angiogenesis,
31.
Modeling
and dynamics for the optimal control of tumor anti-angiogenesis, International Workshop
on Differential Equations and Dynamic Systems,
32.
Challenges
in mathematical modeling of cancer treatments, Biotechnology and Bioengineering
Symposium, SIUE, April 15, 2005.
33.
Dynamics
of HIV infection: Complexity of models, treatments, Biotechnology and
Bioengineering Symposium, SIUE, April 15, 2005.
34.
New
hope for cancer treatments: Anti-tumor angiogenesis, analysis of a mathematical
model, Biotechnology and Bioengineering Symposium, SIUE, April 15, 2005.
35.
Application
of optimal control to models for treatment of cancer and HIV, Department of
Mathematics and Statistics, SIUE, May 2005.
36.
The
role of PK/PD and drug resistance in models for cancer chemotherapy, International
Conference on Medical Information and Technologies,
37.
The
role of pharmacokinetics (PK) and pharmacodynamics
(PD) in models for cancer chemotherapy, Fourth World Congress of Nonlinear
Analysis, Orlando, Florida, July 2004.
38.
International
Collaboration Research Grants Opportunities in Science and Engineering,
Luncheon “Women in Analysis” at Fourth World Congress of
Nonlinear Analysis,
39.
Application
of control theory in modeling of cancer chemotherapy, International
Conference on Control, Automation and Systems, Bangkok, Thailand, August
2004
40.
Analysis
of the bone marrow model with pharmacokinetics (PK), Symposium on Nonlinear
Analysis,
41.
Optimal
control for a bilinear model with recruiting agent in cancer chemotherapy, IEEE
Conference on Decision and Control,
42.
Mathematical
Methods for the Analysis of Optimal Controls in Compartmental Models for Cancer
Chemotherapy, Workshop on Mathematical Modeling of Cell Proliferation and
Cancer Chemotherapy, Mathematical Biosciences Institute, Columbus, Ohio,
November 2003
43.
Analysis
of optimal controls for a class of biomedical systems, 24th Colóquio Brasileiro de Matemática,
44.
The
role of the objective in the control of biomedical models, Silesian
Technical University, Gliwice, Poland, June 2003
45.
Control
of diseases with strong cell proliferation rates: cancer and HIV,
46.
Local
optimality of extremals in mathematical models for
chemotherapy, CIMPA School and Workshop on Geometric Non-linear Control,
Campinas, Brazil, July 2003
47.
The
Role of Dynamics and Objective in Modeling Cancer Chemotherapy, Fourth
International Conference on Dynamic Systems and Application,Atlanta, Georgia, May 21-24, 2003
48.
Compartmental
models for cancer chemotherapy, Department of Math. and
Stat., SIUE, May 2003.
49.
Sufficient
conditions for optimality of controls in biomedical systems, 41st
IEEE Conference on Decision and Control (CDC), L
50.
A
comparison of optimal controls for a model in cancer chemotherapy with L1-
and L2-type objectives, International Conference on
Optimization Methods and Software, Hangzhou, China, December 2002
51.
Sufficient
conditions for optimal controls in biomedical systems, 1st Junior
European Meeting on Control Theory and Stability,
52.
Optimality
conditions for a cl
53.
Optimal
controls for a two-compartment model for cancer chemotherapy with quadratic
objective”, 5th Portuguese Conference on Automatic Control
(Controlo 2002),
54.
Analysis
of optimal controls for mathematical models of chemotherapy for cancer and HIV,
University of Porto, Porto, Portugal, September 2002
55.
Analysis
of optimal controls for mathematical models of chemotherapy for cancer and HIV,
University of Minho, Guimaraes, Portugal,
September 2002,
56.
“On
optimal controls for a general mathematical model for chemotherapy of
HIV”, at the 2002 American Control Conference,
57.
“Optimal
control for a general cl
58.
“On
a synthesis of optimal controls for a mathematical model of cancer
chemotherapy”, at the SIAM Conference on Control,
59.
“On
optimal controls for a 3-compartment model of cancer chemotherapy,” at IASTED
International Conference on Control and Applications,
60.
“On
generalizations of the Euler-Lagrange equation”, at the Third World
Congress of Nonlinear Analysts,
61.
“Optimal
control of mathematical models in cancer chemotherapy”, Colloquium talk at the
62.
“On
the synthesis of controls for a mathematical model of cancer
chemotherapy,” 39th IEEE Conference on Decision and Control,
63.
“Optimal
control for a mathematical model of cancer chemotherapy”, at IASTED
International Conference on Control and Applications,
64.
“Perturbation
feedback control law and its generalizations”, Colloquium talk at the
65.
“High-order
local Maximum Principle: theory, comparisons, examples”, Colloquium talk
at Center for Viability and Control, Dauphine University, Paris, France,
May 1999.
66.
“Perturbation
feedback control and neighboring extremals in
abnormal cases”, at IASTED International Conference on Control and
Applications,
67.
“High-order
approximations in optimal control theory: A comparison of normal, abnormal and
singular cases”, at the 13-th International Symposium on Mathematical
Theory of Networks and Systems,
68.
“High-order
approximations in optimization and optimal control,” Colloquium talk at
69.
“High-order
approximations for abnormal bang-bang extremals”,
at the 18th IFIP Conference on Optimization and Mathematical
Modeling,
70.
“Comparison
of first, second and third order approximations in optimal control: conditions
for accessory problem”, Colloquium talk at the University of Lodz,
71.
“High-order
Maximum Principle”, at the Conference on Optimal Control: Theory,
Methods and Applications, at the
72.
“High-order
approximations with applications to abnormal problems in optimization and
optimal control”, Colloquium talk at the Florida
Institute of Technology, February 24, 1997.
73.
"A
high-order generalization of the Lyusternik theorem
without surjectivity condition and its application to
optimization", Second World Congress of Nonlinear Analysts,
74.
"Optimality
Conditions for Control Problems Governed by Abstract Semilinear
Differential Equations in Complex Banach Space",
at the International Conference on Dynamical Systems and Differential
Equations,
75.
"On
high-order tangent cones and their applications in optimal control", 12-th
International Symposium on the Mathematical Theory of Networks and Systems
(MTNS-96), St. Louis (
76.
"Extended
Maximum principle and second-order condition for abnormal problems in optimal
control", Colloquium Talk at the
77.
"On
a new type of approximating cones in optimization and extended Maximum
Principle", at the
78.
"Second
order Dubovitskii-Milyutin theory and second order
optimality conditions to abnormal optimal control problems", at a Special
Session on Nonlinear Dynamics, Annual Meeting of AMS, San Francisco,
January 1995.
79.
"Nontrivial
optimality conditions in abnormal optimal control problems”, at the Third
SIAM Conference on Control and Applications,
80.
"Second
order approximating cones for abnormal problems in optimization and optimal
control", International Congress of Mathematicians, ICM94,
81.
"Extension
of the Dubovitskii-Milyutin method to second order
approximating cones and its applications", at the Session of Polish
Mathematical Society,
82.
"First
and second order conditions for optimality II. abnormal
optimal control problems", at the Conference on Optimization,
83.
"On
abnormal problems in optimization and optimal control", at the Department
of Applied Mathematics,
84.
"Pareto
optimality conditions for abnormal optimization and optimal control
problems", at the Conference on Optimal Control,
85.
"Generalizations
of the Lusternik theorem and their applications to nonsmooth and abnormal problems in optimization and optimal
control", at the First World Congress of Nonlinear Analysts,
86.
"On
some type of higher order conditions for optimality and their applications to
abnormal problems in control theory", at the Session of Polish
Mathematical Society,
87.
"An
extension of Maximum Principle for abnormal problems", at the Summer
School on Control Theory, University of Montreal, Montreal, Canada, July
26-August 7, 1992.
88.
"On
a certain type of Higher Order Maximum Principle (HMP)", at the AMS
Annual Meeting in Baltimore, January 1992.
89.
"Abnormalities
in optimal control problems of distributed parameter systems in Banach spaces", at the 20-th Midwest Conference of
Differential Equations in
90.
"On
nonregular optimization and abnormal optimal control
problems", at Second International Conference of Industrial and Applied
Mathematics, ICIAM 91,
91.
"Optimality
conditions for abnormal optimal control problems of with additional equality
constraints", at International Conference on the Theory and
Applications of Differential Equations in
92.
"Necessary
conditions of optimality and Pareto optimality for abnormal optimization and
optimal control problems", at Optimization Days,
93.
"On
the Dubovitskii-Milyutin method and abnormal optimal
control problems", at the Department of Systems Science and Mathematics, Washington
University, April 1991
94.
"On
some extension of the Pontryagin type maximum
principle to the abnormal optimal control problems", at the AMS Annual Meeting
in
95.
"Optimality
conditions for abnormal optimal control problems of systems with terminal
data", at the International Conference on the Theory of Differential
Equations and Applications to Oceanography, Goa University (India),
December 17-21, 1990.
96.
"On
an abnormal optimal control problem", at the International Conference
on Mathematical Theory of Control, IIT Bombay (
97.
"On
optimal control of distributed parameter systems with terminal data", at the
Nineteenth Annual Midwest Differential and Integral Equations Conference,
Rolla (
98.
"On
optimization problems in the nonregular cases and
abnormal optimal controls", at Florida
Institute of Technology,
99.
"Conditions
of optimality and Pareto optimality in nonregular extremum problems in Banach
spaces and their applications to abnormal optimal control problems", at
the XIX Conference of Applied Mathematics, Pradocin
(
100.
"The
Euler - Lagrange equations for nonregular extremum problems in Banach
spaces", at the AMS Annual Meeting,
101.
"On
some optimal control problems of parabolic and hyperbolic equations", at
the Midwest Conference on Differential Equations,
102.
"Application
of the Moser's technique to the tangent direction problem for nonlinear
evolution equations", at the International Conference on Differential
Equations, Theory and Applications to Stability and Control, Colorado
Springs, (Colorado), June 7-10, 1989.
103.
"On further extensions of the Dubovitskii-Milyutin
formalism", at the AMS Annual Meeting,
104.
"On
extensions of the Dubovitskii-Milyutin method and
their applications to optimal control of ordinary and partial differential
equations", at Southern Illinois University at Carbondale, January
1989.
105.
"Application
of some specifications of the Dubovitskii-Milyutin
theorem to optimal control problems with additional equality constraints",
at the
106.
"On
some optimal control problems of differential equations with additional
equality contraints", at the International
Conference in Honor of Solomon Lefschetz and Joseph P.LaSalle
``30 Years of Modern Optimal Control Theory,"
107.
"Application
of Global Linearization Iterative Methods to general optimal control problems
in Banach spaces", at the International Conference
on Theory and Applications of Differential Equations,
108.
"The
Euler-Lagrange equation in the presence of unbounded operator constraints"
at the AMS Annual Meeting
,
109.
"On
generalizations of the Duboviskii-Milyutin theorem in
optimization and their applications", at Southwest Texas State
University,
110.
"Application
of optimization methods under Frechet and Gateaux
differentiability in Banach spaces to optimal control
problems", at the
111.
"Some
extensions of the Dubovitskii-Milyutin formalism and
their applications to optimal control problems", at Southern Illinois
University, Edwardsville, March 1987.
112.
"On
the Dubovitskii-Milyutin formalism in the case of
many equlity constraint and its applications to
optimal control of systems governed by ordinary and partial differential
equations" at the University of California, Irvine, February 1987.
113.
"On
the optimization and optimal control problems with many equality
constraints" at the
114.
“Application
of the method of contractor directions to optimization and optimal
control” at the AMS Annual Meeting,
115.
“Applications
of the method of contractor directions to optimization theory” at the Conference
of Applied Mathematics, Sielpia, 1986.
116.
"Optimal
control problems of ordinary and differential equations with equality contraints" at the International Conference on the
Theory Applications of Differential Equations,
117.
"Extremum principle for optimal control problems with mixed
equality constraints" at the
118.
"On
the optimal control problems of ordinary differential equations with equality
constraints" at the Session of the Polish Mathematical Society,
March, 1984.
119.
"On
some methods in discrete optimization", at the Conference of Applied
Mathematics, Burzenin, 1981.
Urszula Ledzewicz / uledzew@siue.edu / Updated: January
7, 2007