A drug is administered every 4 hours in dose of 8 mg. The drug is neutralized at an exponential rate with decay rate constant k = 0.5. Not all the drug is neutralized before the next dose is administered. Let • A(t): denote the amount of drug in the patient's system at time t hours, • Bni denote the amount of drug in the patient at the beginning of the n+1 dosage interval, and • Rn: denote the residual amount of the drug left in the patent at the end of the nth dosage interval. Note: The general form of the Exponential decay Model A(t) = Aoe¬kt where: • Ao: denote the initial amount presented at time t = 0. • k: denote the decay rate (unit: 1/time) • A(t): denote the amount left at time t The formula for the function A(t) over the second dose periods is:

A drug is administered every 4 hours in dose of 8 mg. The drug is neutralized at an exponential rate with decay rate constant k = 0.5. Not all the drug is neutralized before the next dose is administered. Let • A(t): denote the amount of drug in the patient's system at time t hours, • Bni denote the amount of drug in the patient at the beginning of the n+1 dosage interval, and • Rn: denote the residual amount of the drug left in the patent at the end of the nth dosage interval. Note: The general form of the Exponential decay Model A(t) = Aoe¬kt where: • Ao: denote the initial amount presented at time t = 0. • k: denote the decay rate (unit: 1/time) • A(t): denote the amount left at time t The formula for the function A(t) over the second dose periods is:

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

See similar textbooks