Mathematical Modeling of Pharmacokinetic Data
by Steven Strauss, David W.A. Bourne
1st Edition
Publisher: Routledge
Book Details
| Print ISBN | 9781566762045 |
| eText ISBN | 9781351433242 |
| Publisher | Routledge |
| Publishing Year | 1995 |
| Edition | 1st Edition |
| Language | English |
| Pages | 152 |
Mathematical Modeling of Pharmacokinetic Data, 1st Edition, is a concise guide to the mathematical modeling and analysis of pharmacokinetic data. The volume presents methods designed to maximize the information extracted from experimental data.
The text outlines fundamental rationales for data modeling, including condensing data, exploring mechanisms, and making predictions. It examines foundational modeling approaches, parameter adjustments, and primary model types such as compartmental, physiologically based, and pharmacodynamic models.
Characterized as an explanatory book rather than an instruction manual, this 152-page volume serves as a resource for scientists, scholars, and advanced students working in data analysis.
Table of Contents
Chapter 1: Why Model the Data?
- • Condense the Data
- • Exploring Mechanisms
- • Making Predictions
Chapter 2: General Approach
- • General Method Error in y Alone
- • Parameter Adjustments
Chapter 3: Pharmacokinetic Models
- • Compartmental Models
- • Physiologically Based Models
- • Pharmacodynamic Models
Chapter 4: Simulation of Data
- • Explicit Equations
- • Implicit Equations
- • Differential Equations
- • Integration Using Laplace Transforms
- • Numerical Integration of Differential Equations
Chapter 5: Initial Estimates
- • Graphical Methods
- • Linear Regression
- • Curve Stripping
- • Area under the Curve Estimation
- • Deconvolution
Chapter 6: Non-Linear Regression
- • Grid Search Method
- • Steepest Descent Method
- • Gauss-Newton Methods
- • Simplex Method
- • Local Minima
Chapter 7: Weighting Schemes
- • Equal Weight
- • Variance Model
- • Iteratively Reweighted Least Squares
- • Extended Least Squares
- • Bayesian Methods
- • Analysis of Population Data
Chapter 8: Evaluation of Program Output
- • Tabular Output
- • Graphical Output
- • Statistical Output
Chapter 9: Experimental Design
- • Pilot Study
- • Identifiability-Sampling Sites
- • Optimal Sampling-Sampling Times
- • Model Testing
- • Appendix
- • References
- • Index
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