Laplace Transform Examples

One Compartment Models

IV Bolus Dose Administration

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

Step 2. Transform into the Laplace domain

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Step 3. Rearrange and solve for L(X3)

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

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substituting the second term (L(X3)) into the third equation gives

Step 4. Back transform to produce the integrated equation for X4

using Laplace tables for the back transform

using the Fingerprint method for the back transform

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