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Modeling Scenario

7-010-MultipleDoses-ModelingScenario

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: drug discovery step function dose Dirac drug administration inverse Laplace Transform intraveneous bolus steady drip

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Abstract

Resource Image Two multiple dose drug administration regimens are offered. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and another involves steady drip flow over time.

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Description

You are to design an intravenous drug administration plan for a 24 hour span for a hospital patient. The patient has a port or shunt to their vein so medicine can be administered without further ``sticking.'' This medicine is to be administered in such a way that the amount of the drug in their blood stream must be between 2 and 4 mg throughout the 24 hour period. To go over 4 mg is to risk adverse effects and to go under 2 mg is to possibly not benefit from the drug. The drug is absorbed into the tissues where it does its work at the rate of 50% of the amount present in the bloodstream per hour.

Two possible multiple dose drug administration regimens are offered for modeling. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and the other involves steady drip flow over short periods of time. One of the regimens cannot meet the constraints and a modification is required of the students.

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Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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