- Introduction (PHAR 7632) (Slides in PDF Format)
- Mathematical Material
- exponents and logarithms (Slides in PDF Format)
- graphing data, linear and semi-log plots (Slides in PDF Format)
- use of spreadsheets (Slides in PDF Format)

[An example Spreadsheet - includes a macro so you may get a warning from Excel] - calculus, differentiation and integration (Slides in PDF Format)

Textbook pp 49-51 - integration using Laplace transforms

[Table of Laplace Transforms in PDF format]

[Spreadsheet Example for StepSize adjustment with Euler's Method]

Textbook pp 41-49

**Useful References**- Mayersohn, M. and Gibaldi, M 1970 "Mathematical Methods in Pharmacokinetics. I. "Use of the Laplace Transform in Solving Differential Rate Equations,"
*Amer. J. Pharm. Ed.*,**34**:608-614

- Mayersohn, M. and Gibaldi, M 1970 "Mathematical Methods in Pharmacokinetics. I. "Use of the Laplace Transform in Solving Differential Rate Equations,"
- Area under the Cp versus Time Curve (AUC) and the Trapezoidal Rule (Slides in PDF Format)

- Pharmaceutical Analysis
- spectroscopic drug analysis (Slides in PDF Format)
- HPLC (Slides in PDF Format)

Booklet pp 26-33 - GLC (Slides in PDF Format)

Booklet pp 19-22 - RIA (Slides in PDF Format)

Booklet pp 36-39 - EMIT (Slides in PDF Format)

Booklet pp 40-42 - FPIA

Booklet pp 42-43 - Comparison of Methods

Booklet pp 46-47

- Pharmacokinetics introduction
- One compartment IV bolus, Plasma data, Volume, AUC, Half-life (Slides in PDF Format)

Textbook pp 19-22 - Modeling
- Why Model

Textbook pp 1-8 - General Method

[Excel Spreadsheet for Parameter Adjustment]

Textbook pp 9-19

- Why Model
- More Laplace transforms

Textbook pp 44-48

**Useful References**- Mayersohn, M. and Gibaldi, M 1971 "Mathematical Methods in Pharmacokinetics. II. "Solution of the Two Compartment Open Model,"
*Amer. J. Pharm. Ed.*,**35**:19-28 - Benet, L.Z. and Turi, J.S. 1971 "Use of the General Partial Fraction Theorem for Obtaining Inverse Laplace Transforms in Pharmacokinetic Analysis,"
*J. Pharm. Sci.*,**60**:1593-1594 - Benet, L.Z. 1972 "General Treatment of Linear Mammillary Models with Elimination from any Compartment as Used in Pharmacokinetics,"
*J. Pharm. Sci.*,**61**:536-541

- Mayersohn, M. and Gibaldi, M 1971 "Mathematical Methods in Pharmacokinetics. II. "Solution of the Two Compartment Open Model,"
- Program set-up
- Boomer (Boomer On-line Manual - Chapter Four and Boomer On-line Manual - Chapter Six)
- Multi IV Bolus Dose Simulation - Two Compartment (27 Jul 99)
- Simultaneous fit to IV and Oral Data - Two Compartment IV Bolus (IV and Oral Data files)

- SAAM II

SAAM II Manual (On reserve in the Bird Library)**Notes re the use of SAAM II** - WinNONLIN Professional

WinNONLIN Manuals (On reserve in the Bird Library) - ADAPT II Release 4

The ADAPT II manual can be downloaded as a PDF file

ADAPT II can be run from Binger on the OUHSC Campus if you have account on this machine.

- Boomer (Boomer On-line Manual - Chapter Four and Boomer On-line Manual - Chapter Six)
- Program Output Evaluation (Slides in PDF Format)

Boomer and SAAM II control/example files,

Textbook Chapter 8, pp 95-110 - Numerical Integration (Slides in PDF Format)

[Spreadsheet Example for StepSize adjustment with Euler's Method]

Textbook pp 49-55 - Optimization (Slides in PDF Format)

Textbook pp 75-82 - Analysis of Urine data, plot types, clearance, metabolism, renal function (Slides in PDF Format)
- Weighting Schemes, Fitting data sets simultaneously (Slides in PDF Format)

[Spreadsheet Example for Determining 'a' and 'b' (NOTE: this file uses a Macro)]

[A Two data sets .BAT file (Ch9905b.BAT) with the required data sets (Ch9905bp.DAT and Ch9905bu.DAT). One output files was Ch9905.OUT]

Textbook pp 83-88## PHAR 7633

- Introduction (PHAR 7633)
- Intravenous infusion, Steady state concentration, slow-fast infusion, post infusion (*)

IV - Infusion (Boomer BAT file)

IV - Infusion (Setting up the Problem using SAAM II) - Routes of drug administration (*)
- Pharmacokinetics of oral administration (*)

Oral Dose Simulation (Boomer .BAT file)

Oral Dose Simulation (SAAM Data file) [This is a SAAM data file. You will need to de-binhex the file and then open it after opening SAAM II. Ask if you need the ancient Druid incantation for the de-binhexing...or try downloading Expander or Unstuff available on the Aladdin Systems web-site] - Bioavailability calculations, Method of residuals, W-N method (*)

Oral Dose Fit to Method of Residual Data (Boomer .BAT file)

Oral Dose Fit to Method of Residual Data (SAAM Data file)

Oral and IV Dose Fit to Method of Residual Data (Boomer .BAT file)

Oral and IV Dose Fit to Method of Residual Data (SAAM Data file) - Selection of the "best" Model

Textbook pp 95-110 - Identifiability

Textbook 114-120 - Bioavailability studies, statistics (*)
**On-line Resources** - Physiological factors affecting oral absorption (*)
- Physical-Chemical factors affecting oral absorption (*)
- Formulation factors affecting oral absorption (*)
- Multiple Bolus IV dose administration (*)
- tau And Dose calculation - Practice Problems
- Cpmin/Cpmax calculation - Practice Problems

- Multiple Oral Dose Administration (*)
- Approximation for Three Equations - Excel Spreadsheet
- Superposition of IV Bolus Doses - Excel Spreadsheet
- Superposition of Oral Doses - Excel Spreadsheet

- Routes of excretion (*)
- Cp Average Calculator On-line Javascript Calculator
- Cpmax/Cpmin Calculator On-line Javascript Calculator

- Metabolism (*)
- Drug distribution (*)
- Multi-compartmental pharmacokinetic models (*)
- Practice problems - Using the method of residuals
- Practice problems - Non compartental calculations

- Non-linear pharmacokinetic models (*)
- Practice problems - Calculating a suitable dosing regimen

- Clinical Applications of Pharmacokinetics (*)
- Optimal sampling

Textbook pp123-129 - Bayesian Analysis and Population modeling

Textbook pp 88-94 - Pharmacodynamic models
- Saturable Protein Binding, Physiologically based pharmacokinetic models

- Textbook == Mathematical Modeling of Pharmacokinetic Data by David W.A. Bourne
- Boomer == Boomer On-line Manual
- Booklet == Pieper, J.A. and Rutledge, D.R. 1989
**Current Concepts - Laboratory Techniques for Pharmacists,**Upjohn, Kalamazoo, MI (Upjohn Publication #8804-03 June 1989) (On reserve in the Bird Library) - (*) Links to relevant or similar material from PHAR 4634 Online

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