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## Theory and Applications

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- 1st Edition - January 1, 1972
- Author: Reginald Shipley
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 6 4 0 2 5 0 - 6
- Paperback ISBN:9 7 8 - 0 - 1 2 - 4 3 3 5 7 6 - 9
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 1 5 8 9 0 - 9

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… Read more

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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.

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 LimitationsChapter 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 Clearance Limitations 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 EffectChapter 9. Constant Infusion of Tracer Estimation of Rate without Compartment Analysis Compartment Analysis Clearance 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 References Index

- No. of pages: 254
- Language: English
- Edition: 1
- Published: January 1, 1972
- Imprint: Academic Press
- Hardback ISBN: 9780126402506
- Paperback ISBN: 9780124335769
- eBook ISBN: 9780323158909

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