55. Drug Dosing Interval Let y(t) be the drug concentration (in micrograms per kilogram) in a patient's body at time t. The initial concentration is y(0) = L. Additional doses that increase the concentra- tion by an amount d are administered at regular time intervals of length T. In between doses, y(t) decays exponentially-that is, y' = -ky. Find the value of T (in terms of k and d) for which the the concentration varies between L and L – d as in Figure 15. y (mcg/milliliter) Exponential decay L-d Dose administered 37 FIGURE 15 Drug concentration with periodic doses.
55. Drug Dosing Interval Let y(t) be the drug concentration (in micrograms per kilogram) in a patient's body at time t. The initial concentration is y(0) = L. Additional doses that increase the concentra- tion by an amount d are administered at regular time intervals of length T. In between doses, y(t) decays exponentially-that is, y' = -ky. Find the value of T (in terms of k and d) for which the the concentration varies between L and L – d as in Figure 15. y (mcg/milliliter) Exponential decay L-d Dose administered 37 FIGURE 15 Drug concentration with periodic doses.
Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Transcribed Image Text:55.
Drug Dosing Interval Let y(t) be the drug concentration (in micrograms per kilogram) in a
patient's body at time t. The initial concentration is y(0) = L. Additional doses that increase the concentra-
tion by an amount d are administered at regular time intervals of length T. In between doses, y(t) decays
exponentially-that is, y' = -ky. Find the value of T (in terms of k and d) for which the the concentration
varies between L and L – d as in Figure 15.
y (mcg/milliliter)
Exponential decay
L-d
Dose administered
37
FIGURE 15 Drug concentration with periodic doses.
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