Modelling Methodology for Physiology and Medicine

Name: Modelling Methodology for Physiology and Medicine
Brand: Academic Press
Price: 99.95 EUR
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Ewart Carson Claudio Cobelli(Editor)

Academic Press

Published on 31. December 2000

421 pages

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978-0-08-051190-0 (ISBN)

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Front Cover
Modelling Methodology for Physiology and Medicine
Copyright Page
Contents
List of Contributors
Preface
Chapter 1. An Introduction to Modelling Methodology
1.1 Introduction
1.2 The Need for Models
1.3 Approaches to Modelling
1.4 Simulation
1.5 Model Identification
1.6 Model Validation
1.7 Reference
Chapter 2. Control in Physiology And Medicine
2.1 Introduction
2.2 A Systems and Control Approach
2.3 Control Mechanisms in Physiology
2.4 Control System Representations of the Clinical Process
2.5 Control System Approaches to Drug Therapy Planning and Administration
2.6 Conclusions
2.7 References
Chapter 3. Deconvolution
3.1 Introduction
3.2 Problem Statement
3.3 Difficulty of the Deconvolution Problem
3.4 The Regularization Method
3.5 Other Deconvolution Methods
3.6 Conclusions
3.7 Acknowledgements
3.8 References
Chapter 4. A priori Identifiability of Physiological Parametric Models
4.1 Introduction
4.2 The System-Experiment Model
4.3 A Priori Identifiability
4.4 Available Methods
4.5 An Identifiability Algorithm for Nonlinear Models
4.6 An Identifiability Algorithm for Linear Compartmental Models
4.7 Conclusions
4.8 References
Appendix A: The Characteristic Set
Appendix B: THE Gröbner Basis
Chapter 5. Parameter Estimation
5.1 Introduction
5.2 Least Squares and Maximum Likelihood Estimators
5.3 Bayesian Estimator
5.4 Population Kinetic Analysis
5.5 Acknowledgement
5.6 References
Chapter 6. Tracer Experiment Design for Metabolic Fluxes Estimation in Steady and Nonsteady State
6.1 Introduction
6.2 Fundamentals
6.3 Accessible-Pool and System Fluxes
6.4 The Tracer Probe
6.5 Estimation of Tracee Fluxes in Steady State
6.6 Estimation of Nonsteady-State Fluxes
6.7 Conclusions
6.8 References
Chapter 7. Physiological Modelling of Positron Emission Tomography Images
7.1 Introduction
7.2 Modeling Strategies
7.3 Positron Emission Tomography Measurement Error
7.4 Models of Regional Glucose Metabolism
7.5 Models of [15O]H2O Kinetics to Assess Blood Flow
7.6 Models of the Ligand-Receptor System
7.7 Conclusions
7.8 References
Chapter 8. Identification and Physiological Interpretation of Aortic Impedance in Modelling
8.1 Introduction
8.2 The Modelling Process and Related Problems of Identifiability and Determinacy
8.3 Vascular Impedance
8.4 Data-Driven Models of Vascular Impedance (Frequency Response Technique)
8.5 Historical Development of Windkessel Models
8.6 Where Windkessel Models' Identification Meets Physiological Interpretation
8.7 Contradictions in Clinically Oriented Compliance Estimation Methods (How the Viscoelastic Windkessel Resolves Them)
8.8 Distributed Description of Linear Arterial Systems to Infer Aortic Wave Reflection
8.9 Identifiability: A Key Issue in the Assessment of Physiological Relevance of T-Tube Model
8.10 Conclusions
8.11 References
Chapter 9. Mathematical Modelling of Pulmonary Gas Exchange
9.1 Standard Equations Used to Describe Gas Transport in the Lungs
9.2 Models of Diffusion Limitation
9.3 Models of Ventilation Perfusion Mismatch
9.4 Application of Mathematical Models of Ventilation, Perfusion, and Diffusion
9.5 References
Appendix A. GLossary
Appendix B. Calculations Necessary to Convert Inspired Gas at ATPD to BTPS
Chapter 10. Mathematical Models of Respiratory Mechanics
10.1 Introduction
10.2 Breathing Mechanics: Basic Concepts
10.3 First-Order Models
10.4 Second-Order Models
10.5 Respiratory Oscillation Mechanics
10.6 Simulation Models of Breathing Mechanics
10.7 Conclusions
10.8 References
Chapter 11. Insulin Modelling
11.1 Introduction
11.2 Models of Whole-body Insulin Kinetics
11.3 An Organ Model of Insulin Secretion
11.4 Estimation of Insulin Secretion by Deconvolution
11.5 A Structural Model to Estimate Insulin Secretion and Secretory Indices
11.6 Estimation of Hepatic Insulin Extraction
11.7 Conclusions
11.8 References
Chapter 12. Glucose Modeling
12.1 Introduction
12.2 Models of Whole-body Kinetics in Steady State
12.3 Models of Regional Kinetics in Steady State
12.4 Models of Whole-body Kinetics in Nonsteady State
12.5 Models of Glucose and Insulin Control on Glucose Metabolism
12.6 Simulation Models
12.7 Conclusions
12.8 References
Chapter 13. Blood-Tissue Exchange Modelling
13.1 Introduction
13.2 Experimental Approaches
13.3 Models of Blood-Tissue Exchange
13.4 Conclusions
13.5 References
Index

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