16 liters. The drug is excreted (removed) through the kidneys at rate ke , proportional to the concentration of the drug in the body fluids. The drug is ineffective and not used by the body if its concentration is below Cmin and becomes poisonous if the concentration goes over Cmax . It is metabolized at a rate km as the concentration is >=Cmin. Let the parameter values Cmin= 4 mg/l, Cmax =40 mg/l, ke = 0.2/hr and km = 0.3/hr. a. How much is the maximum possible rate of infusion of the drug? b. How long the drug would continue to be effective if the infusion has been stopped as the concentration reached at the maximum level?

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A drug is infused continuously intravenously (IV) for treatment of a particular disease. The volume of the body fluid V = 16 liters. The drug is excreted (removed) through the kidneys at rate ke , proportional to the concentration of the drug in the body fluids. The drug is ineffective and not used by the body if its concentration is below Cmin and becomes poisonous if the concentration goes over Cmax . It is metabolized at a rate km as the concentration is >=Cmin. Let the parameter values Cmin= 4 mg/l, Cmax =40 mg/l, ke = 0.2/hr and km = 0.3/hr.
a. How much is the maximum possible rate of infusion of the drug?
b. How long the drug would continue to be effective if the infusion has been stopped as the concentration reached at the maximum level?

 
A drug is infused continuously intravenously (IV) for treatment of a particular disease. The volume
of the body fluid V = 16 liters. The drug is excreted (removed) through the kidneys at rate ke,
proportional to the concentration of the drug in the body fluids. The drug is ineffective and not
used by the body if its concentration is below Cmin and becomes poisonous if the concentration
goes over Cmax. It is metabolized at a rate km as the concentration is 2Cmin. Let the parameter values
Cmin = 4 mg/I, Cmax =40 mg/I, ke = 0.2/hr and km = 0.3/hr.
a. How much is the maximum possible rate of infusion of the drug?
b. How long the drug would continue to be effective if the infusion has been stopped as the
concentration reached at the maximum level?|
Transcribed Image Text:A drug is infused continuously intravenously (IV) for treatment of a particular disease. The volume of the body fluid V = 16 liters. The drug is excreted (removed) through the kidneys at rate ke, proportional to the concentration of the drug in the body fluids. The drug is ineffective and not used by the body if its concentration is below Cmin and becomes poisonous if the concentration goes over Cmax. It is metabolized at a rate km as the concentration is 2Cmin. Let the parameter values Cmin = 4 mg/I, Cmax =40 mg/I, ke = 0.2/hr and km = 0.3/hr. a. How much is the maximum possible rate of infusion of the drug? b. How long the drug would continue to be effective if the infusion has been stopped as the concentration reached at the maximum level?|
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