Tracer Methods for in Vivo Kinetics

Tracer Methods for in Vivo Kinetics

Theory and Applications

1st Edition - January 1, 1972

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  • Author: Reginald Shipley
  • eBook ISBN: 9780323158909

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Tracer Methods for In Vivo Kinetics: Theory and Applications summarizes and evaluates the variety of working formulas in applying tracer methods for kinetic studies in vivo. This book discusses the basic concepts, derives the important equations, and evaluates each working formula to ensure its proper application within the set of experimental conditions available. Organized into 12 chapters, this book starts with an overview of tracers such as radioactive atoms. This text then discusses the errors inherent in treating a two-pool system as though it were one pool. Other chapters describe how, from curves of tracer content of the labeled pool or of the secondary pool, a definitive evaluation is made of rate constants and rate of interflow and outflow in the two-pool open system. This book discusses as well the limited usefulness of a curve of specific gravity when information is limited to such a curve obtained from the secondary pool. This book is intended for mathematicians, biomedical scientists, and graduate students.

Table of Contents

  • Preface

    List of Symbols

    Chapter 1. Compartment Analysis: A Single Pool, Real or by Lumping

    Compartments or Pools

    Single-Pool Kinetics

    Estimation of Size and Turnover Rate of Two Pools Lumped as if One

    Excretion of Drugs

    Chapter 2. Compartment Analysis: Two-Pool Open Systems

    Multiple-Compartment Analysis

    Analysis of an Interchanging System

    Solution by Sampling Labeled Pool a

    Solution by Sampling Secondary Pool b Alone

    A Non Interchanging System

    Precautions and Limitations

    Chapter 3. Compartment Analysis: Three-Pool Open Systems

    A Completely Interchanging System

    Three Compartments Not Interchanging Completely

    Dissection of Rates

    Prediction of an Explicit Solution

    Prediction of Model

    Chapter 4. Compartment Analysis: Four or More Pools

    Four Pools

    Joining Subsystems

    Errors and False Inferences in Curve Analysis

    Analysis by Computer

    Chapter 5. Stochastic Analysis: The Stewart-Hamilton Equation

    Meaning of "Stochastic"

    The Stewart-Hamilton Equation

    The Stewart-Hamilton Equation When Rate Is for Mass

    Chapter 6. Stochastic Analysis: Rates of Production, Disposal, Secretion, and Conversion; Clearance

    Production (or Disposal) Rate of Individual Species

    Calculation of Local Output Rate

    Sampling Two Pools

    Rate Analysis by SA of Pooled Output



    Chapter 7. Stochastic Analysis: Mean Transit Time, Mass, Volume

    Concept of Mean Time

    Mean Sojourn Time

    All Input to Labeled Pool—Interrelated Formulas

    Chapter 8. Closed Systems, Cumulative Loss, Sinks

    Closed Systems

    Cumulative Loss

    Sink Effect

    Chapter 9. Constant Infusion of Tracer

    Estimation of Rate without Compartment Analysis

    Compartment Analysis


    Chapter 10. Nonsteady State

    Meaning of Nonsteady State

    A Single Pool

    Complex Systems

    Chapter 11. Circulation Rate Measured by Tissue Saturation or Desaturation

    A Single Homogeneous Tissue

    A Nonhomogeneous Organ

    External Monitoring

    Chapter 12. Various Approximations from Curves

    Behavior of Primary Labeled Pool

    Iodide Transport

    Impulse Analysis

    Appendix I. Derivation of the Formula for Simple Exponential Loss

    Appendix II. Mathematical Solution of Multicompartment Models in Steady State

    A. An Open Three-Pool System

    B. An Open Four-Pool System

    C. Change in Equations When Channels or Pools are Eliminated

    D. Special Case, One-Way Flow, Equal-Sized Pools

    Appendix III. Relation of a Rate Ratio to Vertical Shift in tmax

    Appendix IV. Deconvolution by Numerical Sequence Approximation

    Appendix V. Some Definite Integrals and Derivatives



Product details

  • No. of pages: 254
  • Language: English
  • Copyright: © Academic Press 1972
  • Published: January 1, 1972
  • Imprint: Academic Press
  • eBook ISBN: 9780323158909

About the Author

Reginald Shipley

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