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Tracer Kinetics in Biomedical Research : From Data to Model :  From Data to Model - Claudio Cobelli

Tracer Kinetics in Biomedical Research : From Data to Model

From Data to Model

Hardcover Published: January 2001
ISBN: 9780306464270
Number Of Pages: 456

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The use of mathematical modeling techniques in biomedical research is playing an increasingly important role in the understanding of the pathophysiology of disease processes. This includes not only understanding mechanisms of physiological processes, but also diagnosis and treatment. In addition, its introduction in the study of genomics and proteomics is key in understanding the functional characteristics of gene expression and protein assembly and secretion. Finally, with the increasing complexity and associated cost of drug development, modeling techniques are being used to streamline the process. This book is designed to give the reader the mathematical and statistical information necessary to design tracer kinetic studies, to use noncompartmental methodologies and/or to develop multicompartmental models to interpret the data. The book starts with a review of fundamentals of radioactive and stable isotope tracer kinetics and then proceeds with a description of the noncompartmental and multicompartmental modeling methodologies to study systems in the steady state. The focus is on understanding the basic assumptions inherent in the methodologies and the underlying mathematics and statistics, on discussing how to assess how 'good' a model is and on giving some hints on how better to design kinetic studies, in order to increase the probability of a successful study and to ensure the maximal information content in the experimental data to be extracted. The book has an extensive section on parameter estimation, i.e., fitting models to data, first in general terms and then specifically related to noncompartmental and compartmental models. This is written from a basic point of view, and is intended to remove the mystery from the 'black box' of computer optimization software. Finally, a special application often found in tracer kinetic analysis, precursor-product relationships, is discussed. Throughout the book, the goal is to provide even the novice with sufficient background so that he/she can feel comfortable. A number of case studies, based upon real experimental data, are carried through the text. Other examples illustrate specific points. All data examples are provided on a floppy disk.

Introductionp. 1
Fundamentals of Tracer Kineticsp. 11
The Noncompartmental Model of Multipool Systems: Accessible Pool and System Parametersp. 39
The Compartmental Modelp. 75
Identifiability of the Tracer Modelp. 109
Using the Tracer Model to Estimate Kinetic Parametersp. 165
Compartmental Versus Noncompartmental Kinetic Parametersp. 191
Parameter Estimation: Some Fundamentals of Regression Analysisp. 215
Parameter Estimation in Noncompartmental Modelsp. 283
Parameter Estimation in Compartmental Modelsp. 307
Precursor-Product Modelsp. 337
Relationships among Isotopic Variablesp. 355
The Use of Enrichment in the Kinetic Formulasp. 359
Relationships between the Isotope Ratio and Tracer to Tracer Ratio for Multiple Tracer Experimentsp. 363
Derivation of Accessible Pool and System Parameter Formulasp. 369
Derivation of the Exhaustive Summaryp. 379
Table of Identifiability Resultsp. 381
Obtaining Initial Estimates of Exponentialsp. 385
Relationships among the Parameters of Multiexponential Modelsp. 433
Calculation of Model Output Partial Derivativesp. 437
Initial Estimates of the Rate Constants of Multicompartmental Modelsp. 441
Indexp. 455
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306464270
ISBN-10: 0306464276
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 456
Published: January 2001
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 22.86 x 15.24  x 3.02
Weight (kg): 0.86

Earn 678 Qantas Points
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