Identification of Nonlinear Physiological Systems

David T. Westwick is an assistant professor in the Department of Electrical and Computer Engineering at the University of Calgary. Robert E. Kearney is professor and Chair of the Department of Biomedical Engineering at McGill University. A recipient of the IEEE Millenium Medal, he is a Fellow of the IEEE and former President of the IEEE Engineering in Medicine and Biology Society.

"Researchers will find this useful and rewarding." (Journal of Statistical Computation and Simulation, September 2005) "…a brief summary of the underlying mathematical theory and techniques used to identify, characterize, and elucidate linear and nonlinear physiological models." (Computing Reviews.com, April 29, 2004)"…a welcome reference for anyone involved in the study of nonlinear dynamic behavioral patterns of biomedical systems." (IEEE Engineering in Medicine and Biology, January/February 2004)"This book is excellent because it discusses in detail nearly all the useful techniques currently in use, and reveals their relative strengths and weaknesses.” (Annals of Biomedical Engineering, June 2004)

• Preface. 1. Introduction.1.1 Signals.1.2 Systems and Models.1.3 System Modeling.1.4 System Identification.1.5 How Common are Nonlinear Systems?2. Background.2.1 Vectors and Matrices.2.2 Gaussian Random Variables.2.3 Correlation Functions.2.4 Mean-Square Parameter Estimation.2.5 Polynomials.2.6 Notes and References.2.7 Problems.2.8 Computer Exercises.3. Models of Linear Systems.3.1 Linear Systems.3.2 Nonparametric Models.3.3 Parametric Models.3.4 State-Space Models.3.5 Notes and References.3.6 Theoretical Problems.3.7 Computer Exercises.4. Models of Nonlinear Systems.4.1 The Volterra Series.4.2 The Wiener Series.4.3 Simple Block Structures.4.4 Parallel Cascades.4.5 The Wiener-Bose Model.4.6 Notes and References.4.7 Theoretical Problems.4.8 Computer Exercises.5. Identification of Linear Systems.5.1 Introduction.5.2 Nonparametric Time-Domain Models.5.3 Frequency Response Estimation.5.4 Parametric Methods.5.5 Notes and References.5.6 Computer Exercises.6. Correlation-Based Methods.6.1 Methods for Functional Expansions.6.2 Block Structured Models.6.3 Problems.6.4 Computer Exercises.7. Explicit Least-Squares Methods.7.1 Introduction.7.2 The Orthogonal Algorithms.7.3 Expansion Bases.7.4 Principal Dynamic Modes.7.5 Problems.7.6 Computer Exercises.8. Iterative Least-Squares Methods.8.1 Optimization Methods.8.2 Parallel Cascade Methods.8.3 Application: Visual Processing in the Light Adapted Fly Retina.8.4 Problems8.5 Computer Exercises.References.Index.IEEE Press Series in Biomedical Engineering.