5. Two drugs, Abraxane and Taxol, are both cancer treatments, yet have differing rates at which they leave a patient's system. Using terminology from pharmacology, Abraxane leaves the system by so-called "first-order elimination", which means that the concentration decreases at a constant percentage rate for each unit of time that passes. Taxol leaves the system by "zero-order elimina- tion", which means that the concentration decreases by a constant amount for each unit of time that passes. (a) As soon as the infusion of Taxol is completed, the drug concentration in a patient's blood is 1000 nanograms per milliliter (ng / ml). 12 hours later there is 50 ng / ml left in the patient's system. Use the data to construct an appropriate formula modeling the blood concentration of Taxol as a function of time after the infusion is completed.

5. Two drugs, Abraxane and Taxol, are both cancer treatments, yet have differing rates at which they leave a patient's system. Using terminology from pharmacology, Abraxane leaves the system by so-called "first-order elimination", which means that the concentration decreases at a constant percentage rate for each unit of time that passes. Taxol leaves the system by "zero-order elimina- tion", which means that the concentration decreases by a constant amount for each unit of time that passes. (a) As soon as the infusion of Taxol is completed, the drug concentration in a patient's blood is 1000 nanograms per milliliter (ng / ml). 12 hours later there is 50 ng / ml left in the patient's system. Use the data to construct an appropriate formula modeling the blood concentration of Taxol as a function of time after the infusion is completed.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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