جزییات کتاب
This judicious selection of articles combines mathematical and numerical methods to apply parameter estimation and optimum experimental design in a range of contexts. These include fields as diverse as biology, medicine, chemistry, environmental physics, image processing and computer vision. The material chosen was presented at a multidisciplinary workshop on parameter estimation held in 2009 in Heidelberg. The contributions show how indispensable efficient methods of applied mathematics and computer-based modeling can be to enhancing the quality of interdisciplinary research. The use of scientific computing to model, simulate, and optimize complex processes has become a standard methodology in many scientific fields, as well as in industry. Demonstrating that the use of state-of-the-art optimization techniques in a number of research areas has much potential for improvement, this book provides advanced numerical methods and the very latest results for the applications under consideration. Read more... Parameter Estimation and Optimum Experimental Design for Differential Equation Models / Hans Georg Bock, Stefan Körkel, Johannes P. Schlöder -- Adaptive Finite Element Methods for Parameter Identification Problems / Boris Vexler -- Gauss-Newton Methods for Robust Parameter Estimation / Tanja Binder, Ekaterina Kostina -- An Optimal Scanning Sensor Activation Policy for Parameter Estimation of Distributed Systems / Dariusz Uciński -- Interaction Between Experiment, Modeling and Simulation of Spatial Aspects in the JAK2/STAT5 Signaling Pathway / Elfriede Friedmann, Andrea C. Pfeifer, Rebecca Neumann -- The Importance and Challenges of Bayesian Parameter Learning in Systems Biology / Johanna Mazur, Lars Kaderali -- Experiment Setups and Parameter Estimation in Fluorescence Recovery After Photobleaching Experiments: A Review of Current Practice / J. Beaudouin, Mario S. Mommer, Hans Georg Bock -- Drug Resistance in Infectious Diseases: Modeling, Parameter Estimation and Numerical Simulation / Le Thi Thanh An, Willi Jäger -- Mathematical Models of Hematopoietic Reconstitution After Stem Cell Transplantation / Anna Marciniak-Czochra, Thomas Stiehl -- Combustion Chemistry and Parameter Estimation / Marc Fischer, Uwe Riedel -- Numerical Simulation of Catalytic Reactors by Molecular-Based Models / Olaf Deutschmann, Steffen Tischer -- Model-Based Design of Experiments for Estimating Heat-Transport Parameters in Tubular Reactors / Alexander Badinski, Daniel Corbett -- Parameter Estimation for a Reconstructed SOFC Mixed-Conducting LSCF-Cathode / Thomas Carraro, Jochen Joos -- An Application of Robust Parameter Estimation in Environmental Physics / Alexandra G. Herzog, Felix R. Vogel -- Parameter Estimation in Image Processing and Computer Vision / Christoph S. Garbe, Björn Ommer