Kinetic Data Analysis

1. Front Matter

   Pages i-ix

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2. Nonlinear Regression: Principles, Properties and Methods

   1. An Introduction to Nonlinear Least Squares

      • Donald G. Watts

      Pages 1-24

   2. Statistical Properties of Kinetic Estimates

      • Carl M. Metzler

      Pages 25-37

   3. On Parameter Redundancy in Curve Fitting of Kinetic Data

      • Jens G. Reich

      Pages 39-50

   4. Tangential and Curvilinear Coordinates in Nonlinear Regression

      • A. T. James

      Pages 51-57

   5. Use of Multiple Linear Regression in the Analysis and Interpretation of Biokinetic Data

      • Allan J. Davison, A. H. Burr

      Pages 59-71

   6. Multivariate Statistical Methods in Pharmacokinetics

      • Roberto Gomeni, Carla Gomeni

      Pages 73-87

   7. Tests for the Behaviour of Experimental Errors

      • Laszlo Endrenyi, Francis H. F. Kwong

      Pages 89-103

3. Robust Parameter Estimation

   1. Robust Estimation in Enzyme Kinetics

      • Athel Cornish-Bowden

      Pages 105-119

   2. Robust Alternatives to Least-Squares Curve-Fitting

      • G. L. Atkins, I. A. Nimmo

      Pages 121-135

4. Design of Experiments for Kinetic Parameter Estimation

   1. Design of Experiments for Estimating Enzyme and Pharmacokinetic Parameters

      • Laszlo Endrenyi

      Pages 137-167

   2. Experimental Designs for the Distribution-Free Analysis of Enzyme Kinetic Data

      • Ronald G. Duggleby

      Pages 169-179

5. Kinetic Model Identification

   1. A Priori Identifiability Analysis in Pharmacokinetic Experiment Design

      • Claudio Cobelli

      Pages 181-208

   2. A Frequency Response Method for Pharmacokinetic Model Identification

      • Victor F. Smolen

      Pages 209-233

   3. Design and Analysis of Kinetic Experiments for Discrimination between Rival Models

      • Bengt Mannervik

      Pages 235-270

6. Combination of Experiments

   1. Estimation of Pooled Pharmacokinetic Parameters Describing Populations

      • L. B. Sheiner, S. L. Beal

      Pages 271-284

   2. Analysis of Sets of Estimates from Pharmacokinetic Studies

      • B. E. Rodda

      Pages 285-297

   3. Some Current Problems in the Interpretation of Enzyme Kinetic Data

      • D. Garfinkel

      Pages 299-308

7. Kinetic Data Analysis: Methods and Applications

   1. Errors Associated with the Determination of the Initial Velocities of Enzyme-Catalyzed Reactions

      • I. A. Nimmo, G. L. Atkins

      Pages 309-315

   2. Progress Curves in Enzyme Kinetics: Design and Analysis of Experiments

      • Mario Markus, Theodor Plesser

      Pages 317-339

Kinetic models have often served as useful examples in develop­ ing the methodology for the design and analysis of experiments in­ volving mechanistic models. Thus, it is not surprising that these approaches have been applied quite successfully to kinetic obser­ vations. Nevertheless, many ideas and methods were developed indepen­ dently in various fields of science. More often than not, investi­ gators working in one area have not been aware of relevant advances in others. In order to facilitate the desirable exchange of ideas, a one-day symposium was held in Toronto in conjunction with the XIth International Congress of Biochemistry. Biochemists, pharmacolo­ gists,> and statisticians came together and discussed many of the topics presented in this volume. Participants in the symposium believed that it would be use­ ful to publish a collection of the presentations together with some additional material. The present volume is the result. It is an attempt to convey some of the interdisciplinary concerns involv­ ing mechanistic, and especially kinetic, model building. The coverage is by no means exhaustive: many principles, methods, and problems are not included. Even the applications are limited to biochemistry and pharmacology. Still, the symposium highlighted areas of current interest. These included questions of weighting, robust parameter estimation, pooled data analysis, model identification, and the design of experiments. These topics, which are of interest in many fields of science, are discus3ed also in the present volume.

• biochemistry
• chemistry
• data analysis
• design
• identification
• material
• model
• pharmacology
• science

• University of Toronto, Toronto, Canada

  Laszlo Endrenyi

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