A patient is given a dosage Q of a drug at regular intervals of time T

A patient is given a dosage Q of a drug at regular intervals of time T

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.