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Finger Print Method - Example 2

The differential equation for amount of drug in body according to the one compartment model during an IV infusion (k0) can be written as:

Laplace transform of amount in body IV infusion

Equation 7.4.1 Laplace Transform of Amount in the Body during an IV Infusion

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 * (s + kel) = 0

gives the two roots 0 and -kel.

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

Figure 7.4.1 Movie illustrating the Finger Print Method - 1

The solution

Integrated Eqation for Amount in the Body

Equation 7.4.2 Integrated Equation for Amount in the Body an IV Infusion


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