Applied Medicine Dosage

The exponential hunt tumble and Geometric series in cargon for Dosage Abstract The problem facing by physicians is the fact that for most pane of glasss there is a minimum superman below which the drug is in telling, and a maximum battery-acid above which the drug is dangerous. Thus, this composing discusses the effective medicine battery-acid and its assimilation in the proboscis of a patient of. The exponential function decay and geometric series and its formula are the correctly numeric tools for analysis of dose concentration. These two mathematical tools were use to predict the dose concentration of a drug in blood of a patient also, it empennage be well-kept the level of drug dose. exponential function Growth A amount say Q is tell to be subject to exponential yield, Q(t), if the sum Q increases at a evaluate proportional to its cling to all over sequence t. Symbolically, this house be expressed as follows: dQ(t)dt That is, dQ(t)dt = kQ(t), which is a derived function equation. Where dQ(t)dt is the rate of throw of bill Q over era t, Q(t) is the observe of the quantity Q at time t, and k is a corroboratory number called the growth constant.

Now, we can clobber for the differential equation dQ(t)dt= kQ(t) Separating the variables and integrating, we have ?dQ(t)dt = ?kdt so that ln |Q|= kt +C In the character of exponential growth, we can thieve the absolute appraise signs somewhat Q, because Q will of all time be a positive quantity. Solving for Q, we obtain |Q|= e(kt+c) which we may pull through in the form Q(t) = Ce(kt), where C is an arbitrary positive constant. exponential Decay A quantity Q is said to be subject to exponential decay, Q(t), if the quantity Q decreases at a rate proportional to its value over time t. This can be expressed as follows: That is, dQ(t)dt = -kQ(t) where the negative sign - nitty-gritty the decrease in the quantity Q over time t. By solving this differential equation, we obtain Q(t) = q?e(-kt) Where q?is the bosom of...If you want to get a full essay, order it on our website: Ordercustompaper.com

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