Modelling methodology for physiology and medicine / Ewart Carson, Claudio Cobelli, editors.

Format:

Book

Contributor:

Carson, Ewart R.

Cobelli, Claudio.

Series:

Academic Press series in biomedical engineering.

Biomedical Engineering

Language:

English

Subjects (All):

Physiology--Mathematical models.

Physiology.

Medicine--Mathematical models.

Medicine.

Physical Description:

1 online resource (437 p.)

Place of Publication:

San Diego : Academic Press, c2001.

Language Note:

English

Summary:

Modelling Methodology for Physiology and Medicine offers a unique approach and an unprecedented range of coverage of the state-of-the-art, advanced modelling methodology that is widely applicable to physiology and medicine. The book opens with a clear and integrated treatment of advanced methodology for developing mathematical models of physiology and medical systems. Readers are then shown how to apply this methodology beneficially to real-world problems in physiology and medicine, such as circulation and respiration.Builds upon and enhances the readers existing knowled

Contents:

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 Conclusions2.7 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 SetAppendix 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 Images7.1 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

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-281-03613-7

9786611036133

0-08-051190-2

OCLC:

162571291