ma047 - The Exponential-Decay Law Applied to Medical...

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Therapeutic Level and Dosage Assume now that a drug of half-life H is administered to a patient. If P units of the drug are administered at times ..., uniform time intervals of length the total amount T of the drug in the body at time is easily found. At time the first P units are given. Then at time the second P units are administered, and the amount left from the first dose is giving a total of in the system. At time the total amount in the system is with the terms representing, respectively, the amounts left from the third, second, and first doses. To continue, the amount T of the drug in the system at the time one time unit after the last dose is given, is Since this expression is the sum of d terms of a geometric sequence with the first term and constant ratio (1) This formula is useful in different ways. As given, T can be obtained in terms of the dose P , the length of the time intervals, the total number d
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