Laplace Transform Examples

One Compartment Models

The Model

Model with X2 highlighted

Component of Interest - Drug in Body

Step 1. Write the differential equations

Differential equation for X2

Step 2. Transform into the Laplace domain

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Equation for X2 in the Laplace domain

Step 3. Rearrange and solve for L(X2)

and

Equation for Laplace of X2

substituting the first term (L(X1)) into the second equation gives

Equation for Laplace of X2

Step 4. Back transform to produce the integrated equation for X2

using Laplace tables for the back transform

This page was last modified: Sunday, 28th Jul 2024 at 4:43 pm