Chapter: A Discrete Time Stochastic Model of a Compartmental System

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Home > Compartmental Modeling and Tracer Kinetics > A Discrete Time Stochastic Model of a Compartmental System

Compartmental Modeling and Tracer Kinetics |

David H. Anderson

Springer Berlin Heidelberg

Compartmental Modeling and Tracer Kinetics

A Discrete Time Stochastic Model of a Compartmental System

Chapter Info

Authors

David H. Anderson

ARI Id

1664659825341_2606040

Access

Not Available Free

Pages

268-285

DOI

10.1007/978-3-642-51861-4_26

Chapter URL

https://rd.springer.com/chapter/10.1007/978-3-642-51861-4_26

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Chapters/Headings	Author(s)	Pages	Info
Front Matter		I-VII
Compartmental Systems	David H. Anderson	1-6
Elementary Compartmental Models	David H. Anderson	7-12
First-order Chemical Reactions	David H. Anderson	13-14
Environmental Studies	David H. Anderson	15-21
Nonlinear Compartmental Models	David H. Anderson	22-29
The General Compartmental Model	David H. Anderson	30-32
Tracer Kinetics in Steady State Systems	David H. Anderson	33-38
Uptake of Potassium by Red Blood Cells	David H. Anderson	39-42
Standard Types of Tracer Experiments	David H. Anderson	43-44
Analytical Solution of the Tracer Model	David H. Anderson	45-49
System Structure and Connectivity	David H. Anderson	50-54
System Eigenvalues and Stability	David H. Anderson	55-68
The Inverse of a Compartmental Matrix	David H. Anderson	69-78
Mean Times and the Inverse Matrix	David H. Anderson	79-89
Solution of the Steady State Problem for SEC Systems	David H. Anderson	90-98
Structural Identification of the Model	David H. Anderson	99-119
Necessary and Sufficient Conditions for Identifiability	David H. Anderson	120-125
A Simple Test for Nonidentifiability	David H. Anderson	126-145
Computation of the Model Parameters	David H. Anderson	146-156
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