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Questions and Answers
What is the elimination rate constant (k) for a drug with a half-life of 3 hours?
What is the elimination rate constant (k) for a drug with a half-life of 3 hours?
- 0.115 hr−1
- 0.333 hr−1
- 0.693 hr−1
- 0.231 hr−1 (correct)
In a one-compartment model, the maximum amount of drug in the body after repetitive intravenous injections will always equal the injected dose.
In a one-compartment model, the maximum amount of drug in the body after repetitive intravenous injections will always equal the injected dose.
False (B)
What are the maximum and minimum amounts of drug in the body after the steady state is reached for the patient receiving 1000 mg every 6 hours?
What are the maximum and minimum amounts of drug in the body after the steady state is reached for the patient receiving 1000 mg every 6 hours?
Maximum: 1333 mg, Minimum: 333 mg
The fraction of the drug remaining in the body at the end of each 6-hour interval is equal to _____
The fraction of the drug remaining in the body at the end of each 6-hour interval is equal to _____
Match the following terminology related to drug kinetics:
Match the following terminology related to drug kinetics:
What assumption is made about the timing of the next dose in multiple oral dose administration?
What assumption is made about the timing of the next dose in multiple oral dose administration?
If ka >> k, then (ka - k) can be approximated as ka.
If ka >> k, then (ka - k) can be approximated as ka.
What is the equation for Cpmin when ka >> k?
What is the equation for Cpmin when ka >> k?
In the simplification for Cpmin, assuming ka >> k, the term ka/(ka - k) is approximately equal to ______.
In the simplification for Cpmin, assuming ka >> k, the term ka/(ka - k) is approximately equal to ______.
Match the following terms with their descriptions:
Match the following terms with their descriptions:
What is required for the superposition principle to apply?
What is required for the superposition principle to apply?
Doubling the dose will result in a doubling of the drug concentrations at each time point.
Doubling the dose will result in a doubling of the drug concentrations at each time point.
What factors can cause the superposition principle not to apply?
What factors can cause the superposition principle not to apply?
The formula for the accumulation index is __________.
The formula for the accumulation index is __________.
Match the pharmacokinetic terms with their definitions:
Match the pharmacokinetic terms with their definitions:
What determines the rise and fall of drug concentration during accumulation?
What determines the rise and fall of drug concentration during accumulation?
Accumulation of a drug is independent of the size of the dose.
Accumulation of a drug is independent of the size of the dose.
How does the dosing interval relative to the elimination half-life affect drug accumulation?
How does the dosing interval relative to the elimination half-life affect drug accumulation?
What is the average amount of drug in the body at steady state for intravenous injections?
What is the average amount of drug in the body at steady state for intravenous injections?
D∞av is the arithmetic mean of D∞max and D∞min.
D∞av is the arithmetic mean of D∞max and D∞min.
What is the formula used to calculate C∞max?
What is the formula used to calculate C∞max?
For this example, the value for C∞max is __________ μg/mL.
For this example, the value for C∞max is __________ μg/mL.
How long does it take to reach 90% of steady state plasma concentration?
How long does it take to reach 90% of steady state plasma concentration?
The time to reach 99% steady state plasma concentration is shorter than the time to reach 90% steady state plasma concentration.
The time to reach 99% steady state plasma concentration is shorter than the time to reach 90% steady state plasma concentration.
Match the following values with their respective concentrations:
Match the following values with their respective concentrations:
What is the relationship between accumulation half-life and elimination half-life?
What is the relationship between accumulation half-life and elimination half-life?
What is the formula used to determine Dmax?
What is the formula used to determine Dmax?
The maximum concentration of drug in the body decreases over time due to zero-order drug elimination.
The maximum concentration of drug in the body decreases over time due to zero-order drug elimination.
The maximum amount of drug in the body after a single rapid IV injection is equal to the ________ of the drug.
The maximum amount of drug in the body after a single rapid IV injection is equal to the ________ of the drug.
Which of the following factors affects the time required to reach steady state during multiple constant dosing?
Which of the following factors affects the time required to reach steady state during multiple constant dosing?
What is D av when F is set to 1 and D0 is set to 1000 mg with k = 1.44 and Ï„ equal to 3?
What is D av when F is set to 1 and D0 is set to 1000 mg with k = 1.44 and Ï„ equal to 3?
Match the drug dosage intervals with their corresponding drug amounts remaining in the body after successive doses:
Match the drug dosage intervals with their corresponding drug amounts remaining in the body after successive doses:
What accumulates when consuming whiskey every hour according to the metabolism rate provided?
What accumulates when consuming whiskey every hour according to the metabolism rate provided?
If Ï„ is large, the fraction of the drug remaining in the body will be larger.
If Ï„ is large, the fraction of the drug remaining in the body will be larger.
Which of the following factors influences the mean plasma drug concentration at steady state?
Which of the following factors influences the mean plasma drug concentration at steady state?
At steady state, the equation for plasma drug concentration can be simplified to reflect a constant concentration after multiple doses.
At steady state, the equation for plasma drug concentration can be simplified to reflect a constant concentration after multiple doses.
What formula is used to determine the plasma drug concentration after multiple doses of a drug?
What formula is used to determine the plasma drug concentration after multiple doses of a drug?
The steady-state concentration at time t after the last dose is denoted as C __________.
The steady-state concentration at time t after the last dose is denoted as C __________.
In the provided example, what was the elimination half-life of the drug?
In the provided example, what was the elimination half-life of the drug?
The apparent volume of distribution (Vd) mentioned in the example was 30 L.
The apparent volume of distribution (Vd) mentioned in the example was 30 L.
Calculate the value of C∞max if 1000 mg of medication is given every 6 hours with a volume of distribution of 20 L.
Calculate the value of C∞max if 1000 mg of medication is given every 6 hours with a volume of distribution of 20 L.
Flashcards
Superposition principle
Superposition principle
Superposition allows calculating drug concentrations after multiple doses by adding the concentrations from each dose. Doubling the dose results in doubling the concentrations at each time point.
First-order kinetics
First-order kinetics
The drug's elimination follows first-order kinetics, meaning the rate of elimination is proportional to the amount of drug present.
Constant pharmacokinetics
Constant pharmacokinetics
The pharmacokinetic properties of the drug remain the same after multiple doses, meaning the body's response to the drug doesn't change significantly.
Drug accumulation
Drug accumulation
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Elimination half-life
Elimination half-life
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Accumulation index
Accumulation index
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Exceptions to superposition
Exceptions to superposition
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Factors affecting drug pharmacokinetics
Factors affecting drug pharmacokinetics
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Maximum Drug Level (Dmax)
Maximum Drug Level (Dmax)
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Minimum Drug Level (Dmin)
Minimum Drug Level (Dmin)
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Dosage Interval (D0)
Dosage Interval (D0)
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Elimination Half-life (t1/2)
Elimination Half-life (t1/2)
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Steady-state
Steady-state
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Accumulation Half-Life
Accumulation Half-Life
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Number of Doses to Reach Steady-State
Number of Doses to Reach Steady-State
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Repetitive Intravenous Injections
Repetitive Intravenous Injections
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Fraction of Dose Remaining
Fraction of Dose Remaining
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Maximum Drug Amount after IV Injection
Maximum Drug Amount after IV Injection
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Steady state (Dss)
Steady state (Dss)
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Average drug amount at steady state (Dss)
Average drug amount at steady state (Dss)
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Maximum drug concentration (Cmax) at steady state
Maximum drug concentration (Cmax) at steady state
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Minimum drug concentration (Cmin) at steady state
Minimum drug concentration (Cmin) at steady state
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Cpmin
Cpmin
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Simplified Cpmin Equation
Simplified Cpmin Equation
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What is C∞av?
What is C∞av?
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What does C∞av represent?
What does C∞av represent?
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What equation is used to calculate the plasma drug concentration after multiple doses?
What equation is used to calculate the plasma drug concentration after multiple doses?
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What does 'n' represent in the equation for plasma drug concentration after multiple doses?
What does 'n' represent in the equation for plasma drug concentration after multiple doses?
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How does the equation simplify at steady state?
How does the equation simplify at steady state?
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What does C∞max represent?
What does C∞max represent?
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What does C∞min represent?
What does C∞min represent?
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What does CSS represent?
What does CSS represent?
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Study Notes
Multiple-Dosage Regimens
- Multiple-dosage regimens are used to maintain prolonged therapeutic activity.
- After a single dose, plasma drug levels rise and then fall below the minimum effective concentration (MEC), leading to a reduced therapeutic effect.
- In calculating a multi-dose regimen, the target plasma drug concentration must be correlated with a therapeutic response.
- The regimen must aim to produce plasma concentrations within the therapeutic window, avoiding excessive fluctuations and accumulation outside the window.
Parameters of Multidose Regimen
- The size of the drug dose and the frequency (time interval) of administration can be adjusted.
- The frequency of administration of a drug in a particular dose is called the dosage regimen.
- The plasma levels of drugs given in divided doses must be maintained within the therapeutic window.
- The regimen aims to provide the correct plasma level, without excessive fluctuations, keeping drug accumulation outside the therapeutic window.
Drug Accumulation
- When a drug is administered at regular intervals, the rise and fall of drug concentration in blood depend on the relationship between the elimination half-life and the time interval between doses.
- If the drug amount administered in each dose has been eliminated before the next dose is applied, similar plasma levels will result during repeated intake at constant intervals.
- If intake occurs before the preceding dose has not been eliminated completely, the drug accumulates.
- The shorter the dosing interval relative to the elimination half-life, the more extensive the accumulation in the body.
- At a given dosing frequency, accumulation does not continue infinitely but reaches a steady state (Css) where drug intake and elimination are equal.
- The activity of elimination processes is concentration-dependent, so higher concentrations lead to more rapid elimination.
Time to Reach Steady State
- The time required to reach steady state is dependent on the elimination half-life of the drug and the dosing interval, but independent of the dose size or the number of doses.
- The method for calculating the time to reach a certain percentage of steady-state (for example, 90% or 99%) is described in texts.
Repetitive Intravenous Injections
- The maximum amount of drug in the body following a rapid IV injection is equal to the dose.
- Drug elimination follows first-order kinetics in a one-compartment open model.
- The amount of drug remaining in the body after several hours can be determined with a simple equation relating dosage interval, elimination constant, and initial dose.
- A consistent fraction of the dose remains in the body after the dosage interval, leading to an increasing amount of drug which is not fully cleared until a steady state.
- To reach steady state is depends on the drug's elimination half-life and the dose interval but does not depends on the number of doses.
Multiple Oral Dose Administration
- Calculating plasma concentration after repetitive oral doses is more complex.
- The plasma concentration-time curve after repeated doses has fluctuations. It depends upon the elimination half-life and absorption rate constant and can vary by several factors which are noted.
- The equation for calculating the average plasma concentration at steady state involves the area under the plasma concentration-time curve (AUC) during the dosing interval and the dosing interval length .
- For oral administration, absorption and elimination need to be considered. Steady state (Css) is where elimination rate and intake rate of drug are equal and the maximum total drug amount in body is reached.
Loading and Maintenance Doses
- Loading doses are used to rapidly achieve therapeutically active plasma concentrations.
- Maintenance doses are given to sustain those concentrations.
- Loading doses depend on the volume of distribution and the fraction of the dose absorbed and can differ in one compartment models and multiple compartment models.
- Steady-state concentration will be reached after several loading and maintenance doses.
Distinguishing Between Normal and Flip-Flop Kinetics
- IV bolus data is necessary.
- The slopes of the terminal lines are a key indicator.
Superposition Principle
- It holds when all pharmacokinetic processes are linear or of first order (distribution, metabolism, and excretion).
- It allows calculating concentrations after several doses by summing the concentrations from each dose.
- Simple formulas show that doubling the dose doubles the concentration at each dosage interval.
Non-Uniform Dosing Intervals
- If dosing intervals are not uniform, calculations will differ.
- The model can be adapted to account for irregular dosing practices to establish drug concentrations in the body at different dosing times.
Example and Solutions
- Methods for calculating drug concentrations and accumulation are demonstrated through example problems, such as determining concentration at various dosing times and during steady states.
Homework
- Homework questions related to drug accumulation and relevant pharmacokinetic concepts are listed.
References
- Authors and titles of texts used are cited.
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