Chapter 26 Integrating Differential Equations using Laplace Transforms

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Finger Print Method - Example 1

The differential equation for amount of drug in body according to the one compartment model after a single oral dose (F * Dose) can be written as:

Equation 26.5.1 Laplace Transform of Amount in the Body after Oral Administration

Note that the denominator has a power of 2 in s and no repeating terms. The numerator has a power of 0 in s. Therefore the fingerprint method can be applied.

Setting the denominator to zero:

(s + ka) * (s + kel) = 0

gives the two roots -ka and -kel.

The finger print method can then be applied as illustrated in the QuickTime^® movie below.

Figure 26.5.1 Movie illustrating the Finger Print Method - 1

The solution

Equation 26.5.2 Integrated Equation for Amount in the Body after Oral Administration

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