Laplace Transform Examples

One Compartment Model

Oral Dose Administration with Metabolism to Active Drug

Derive the Integrated Equation for the Amount of Metabolite in the Body, X₄

The Model

Model with X3 highlighted

Component of Interest - Metabolite in the 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 X₁

All the steps

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Laplace Transform Examples

One Compartment Model

Oral Dose Administration with Metabolism to Active Drug

Derive the Integrated Equation for the Amount of Metabolite in the Body, X4

Derive the Integrated Equation for the Amount of Metabolite in the Body, X₄