Illustrate that limiting value r of residual concentrations

Reference no: EM13470643

A patient is given a dosage Q of a drug at regular intervals of time T. The concentration of the drug in the blood has been shown experimentally to obey the law dC/dt = -keC

a. If the first dose is administered at t = 0 hr, show that after T hr have elapsed, the residual R1 = ln(kT + e-Q) remains in the blood.

b. Assuming an instantaneous rise in concentration whenever the drug is administered, show that after the second dose and T hr have elapsed again, the residual R2 = (-ln)(kT/1-eQ) remains in the blood.

c. Show that the limiting value R of the residual concentrations for doses of Q mg/ml repeated at intervals of T hr is given by the formula R = (-ln)(kT/1-eQ)

d. Assuming the drug is ineffective below a concentration L and harmful above some higher concentration H, show that the dose schedule T for a safe and effective concentration of the drug in the blood satisfies the formula T = (1/k)(e-L - e-H) where k is a positive constant.

Reference no: EM13470643

Questions Cloud

Project imagine you work for a company that produces : imagine you work for a company that produces software and the research and development department has a developed a way

Pile foundation factors which affect the selection of pile : factors which affect the selection of pile ltbrgt1.length of pile in relation to load and soil condition

Hello hello i have heard about this from one of my friendas : hello i have heard about this from one of my friendas your very good of helping people doing their home work.my

Illustrate that limiting value r of residual concentrations : a patient is given a dosage q of a drug at regular intervals of time t. the concentration of the drug in the blood has

They sold 93 loaves in morning and 39 loaves in afternoon : the cake shop baked 200 loaves of bread on monday morning. they sold 93 loaves in the morning and 39 loaves in the

Explain the von neumann architecture and describe why it is : computer architecture is the combination of software and hardware that is organized in such a fashion as to deliver the

The survey involving 600 men and 400 women from township : a survey involving 600 men and 400 women from a township revealed that 300 of all the people were smokers of which 220

What numbers are compared to 72 if a sequential search is : question 1. what numbers are compared to 72 if a sequential search is used 2 5 7 9 11 17 18 21 28 30 45 5465 69 72.

User Account

All Pages