Laplace Transform Examples

One Compartment Models

IV Infusion Administration

Derive the Integrated Equation for the Amount of Drug in Urine, X2

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Step 2. Transform into the Laplace domain

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Step 3. Rearrange and solve for L(X2)

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

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

using Laplace tables for the back transform

can't use the Fingerprint method for the back transform

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