Laplace Transform Examples

One Compartment Models

IV Bolus Dose Administration

Derive the Integrated Equation for the Amount of Metabolite in the Body, X3

The Model

Model with X3 highlighted

Component of Interest - Metabolite in Body

Step 1. Write the differential equations
Step 2. Transform into the Laplace domain
Step 3. Rearrange and solve for L(X3)
Step 4. Back transform to produce the integrated equation for X3

All the steps


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Copyright 2001-3 David W. A. Bourne (david@boomer.org)


This file was last modified: Wednesday 05 Feb 2003 at 12:14 PM