System Engineering Approach to Planning Anticancer Therapies

Andrzej Swierniak received his PhD in Automatic Control from the Silesian University of Technology, Gliwice Poland. He published approximately 300 papers. He is a Fellow of the American Mathematical Society, and a member of the IEEE, Society of Mathematical Biology, Polish Society of Theoretical and Applied Electrotechnics, IFAC Committees 1.4 and 8.2, Committees of Automatic Control and Robotics, and Biocybernetics and Biomedical Engineering of Polish Academy of Science. He is an editorial boards member of Mathematical Bioscience, International Journal of Applied Mathematics and Computer Science, Mathematical Problems in Engineering, and the Editor in Chief of Archives of Control Sciences. His current interests are in control and optimization, biomathematical modeling and systems biology. His research has been supported by Polish National Centre Science, Polish National Centre of Research and Development, NATO, and European Community FP6 and FP7. Dr Swierniak has advised 10 PhD and 50 MS students and has organized numerous conferences and international meetings in System Engineering and Systems Biology. Marek Kimmel is a Professor of Statistics and Bioengineering at the Rice University in Houston, TX, USA and a Professor in the Systems Engineering Group in the Silesian University of Technology in Gliwice, Poland. He is an author and co-author of over 200 peer-reviewed publications and 5 monographs. His professional interests are focused in application of stochastic processes in molecular and cell biology and genetics. He advised about 30 doctoral students in USA, Poland and France. His research has been supported by grants from NSF, NIH, NATO, ERC, NCN (Polish National Science Committee), EPSRC (UK). He is the Mathematical Biology Editor of Biology Direct and in 2011 was the Fellow at the Institute for Advanced Study at Warwick University, UK. He is a Fellow of the American Statistical Association. Jaroslaw Smieja received PhD degree in Automatic Control from the Silesian University of Technology, Gliwice Poland, in 2000. His research interests include systems application of mathematical modeling and control theory methods to analysis of biological systems both at intracellular and cell population levels. In particular, he is involved in development of signaling pathway models, describing cell responses to stress factors and viral infections as well as optimization of anticancer treatment protocols. He is an author and co-author of over 80 peer-reviewed publications. He reviews paper for many international journals, including Journal of Theoretical Biology, Mathematical Biosciences and Mathematical Biosciences and Engineering. Dr Smieja teaches numerous courses at the Silesian University of Technology, including Systems Dynamics, Optimization Methods, Bioinformatics and Mathematical Modeling in Biology and Medicine. Krzysztof Psiuk-Maksymowicz obtained his PhD degree in Biocybernetics and Medical Engineering from Silesian University of Technology, Gliwice Poland, in 2009. He works as an assistant professor at Institute of Automatic Control of Silesian University of Technology. In 2004-2007 he worked as a young research scientist in the Department of Physics, Gothenburg University, Sweden. His research focuses on mathematical biology, in particular modeling of tumor growth and therapeutic actions, as well as medical image processing. He has published over 30 papers in journals and refereed conference proceedings. He took part in many national and international projects, focused on either basic research, applications or software development. Krzysztof Puszynski received his M. Sc degree in automatic control and robotics from Silesian University of Technology in 2003 and Ph.D. in biocybernetics and biomedical engineering also from Silesian Unive

Introduction.- Cell Cycle as an Object of Control.- Therapy Optimization in Population Dynamics Models.- Structured Models and Their Use in Modeling Anticancer Therapies.- Signaling Pathways Dynamics and Cancer Treatment.- Model Identification and Parameter Estimation.- Appendixes: Stability and Controllability of Dynamical Systems.- Pontryagin Maximum Principle and Optimal Control.- Bifurcation Analysis.- Numerical Implementation of the Runge Kutta and Gillespie Methods.