Laplace Transform Examples

One Compartment Models

Oral Dose Administration

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

The Model

Model with X3 highlighted

Component of Interest - Drug in the Body

Step 1. Write the differential equations

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Step 2. Transform into the Laplace domain

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Step 3. Rearrange and solve for L(X3)

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Step 4. Back transform to produce the integrated equation for X3

using the Fingerprint method for the back transform

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