Model Based Parameter Estimation: Theory and Applications

✍ Scribed by Hans Georg Bock, Stefan Körkel, Johannes P. Schlöder (auth.), Hans Georg Bock, Thomas Carraro, Willi Jäger, Stefan Körkel, Rolf Rannacher, Johannes P. Schlöder (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2013
• Tongue: English
• Leaves: 339
• Series: Contributions in Mathematical and Computational Sciences 4
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-x
Parameter Estimation and Optimum Experimental Design for Differential Equation Models....Pages 1-30
Adaptive Finite Element Methods for Parameter Identification Problems....Pages 31-54
Gauss–Newton Methods for Robust Parameter Estimation....Pages 55-87
An Optimal Scanning Sensor Activation Policy for Parameter Estimation of Distributed Systems....Pages 89-124
Interaction Between Experiment, Modeling and Simulation of Spatial Aspects in the JAK2/STAT5 Signaling Pathway....Pages 125-143
The Importance and Challenges of Bayesian Parameter Learning in Systems Biology....Pages 145-156
Experiment Setups and Parameter Estimation in Fluorescence Recovery After Photobleaching Experiments: A Review of Current Practice....Pages 157-169
Drug Resistance in Infectious Diseases: Modeling, Parameter Estimation and Numerical Simulation....Pages 171-190
Mathematical Models of Hematopoietic Reconstitution After Stem Cell Transplantation....Pages 191-206
Combustion Chemistry and Parameter Estimation....Pages 207-226
Numerical Simulation of Catalytic Reactors by Molecular-Based Models....Pages 227-250
Model-Based Design of Experiments for Estimating Heat-Transport Parameters in Tubular Reactors....Pages 251-266
Parameter Estimation for a Reconstructed SOFC Mixed-Conducting LSCF-Cathode....Pages 267-285
An Application of Robust Parameter Estimation in Environmental Physics....Pages 287-309
Parameter Estimation in Image Processing and Computer Vision....Pages 311-334

✦ Subjects

Ordinary Differential Equations; Partial Differential Equations; Numerical Analysis; Computational Science and Engineering; Mathematical Modeling and Industrial Mathematics; Calculus of Variations and Optimal Control; Optimization