Pharmacokinetics and pharmacodynamics (Katzungs, Ch 3. Trans 4) Flashcards
Volume of distribution (V) relates the amount of drug in the body
to the concentration of drug (C) in blood or plasma
V = Amt of drug in body/C
**Drugs with very high volumes of distribution have much higher concentrations in extravascular tissue than in the vascular compartment, ie, they are not homogeneously distributed.
Clearance of a drug is the factor that predicts the rate of elimination in relation to the drug concentration:
CL = Rate of elimination/C
**It is important to note the additive character of clearance. Elimination of drug from the body may involve processes occurring in the kidney, the lung, the liver, and other organs. Dividing the rate of elimination at each organ by the concentration of drug presented to it yields the respective clearance at that organ.
REMEMBER
For most drugs, clearance is constant over the concentration range encountered in clinical settings, ie, elimination is not saturable, and the rate of drug elimination is directly proportional to concentration
Rate of elimination = CL x C
- *This is usually referred to as first-order elimination.
- *When clearance is first-order, it can be estimated by calculating the area under the curve (AUC) of the time-concentration profile after a dose. Clearance is calculated from the dose divided by the AUC
REMEMBER
For drugs that exhibit capacity-limited elimination (eg, phenytoin, ethanol), clearance will vary depending on the concentration of drug that is achieved
Capacity-limited elimination is also known as mixed-order, saturable, dose/concentration-dependent, nonlinear, and Michaelis-Menten elimination.
REMEMBER
FOR CAPACITY-LIMITED ELIMINATION, Rate of elimination = Vmax x C/Km + C
- *The maximum elimination capacity is V max
* *Km is the drug concentration at which the rate of elimination is 50% of V max
REMEMBER
FOR CAPACITY-LIMITED ELIMINATION, At concentrations that are high relative to the Km, the elimination rate is almost independent of concentration. If dosing rate exceeds elimination capacity, steady state cannot be achieved: The concentration will keep on rising as long as dosing continues
This pattern of capacity-limited elimination is important for three drugs in common use: ethanol, phenytoin, and aspirin.
**Clearance has no real meaning for drugs with capacity-limited elimination, and AUC should not
be used to describe the elimination of such drugs.
In contrast to capacity-limited drug elimination, some drugs are
cleared very readily by the organ of elimination, what type of elimination does these drugs display?
Flow-dependent elimination
- *The elimination of these drugs will thus depend primarily on the rate of drug delivery to the organ of elimination
- *Blood flow to the organ is the main determinant of drug delivery, but plasma protein binding and blood cell partitioning may also be important for extensively bound drugs that are highly extracted
The time required to change the amount of drug in the body by one-half during elimination (or during a constant infusion).
Half-life (t 1/2)
**t 1/2 = 0.7 x V/CL
As a “rule of thumb” how many half-lives must elapse after starting a drug-dosing regimen before full effects will be seen
Four half-lives
- *This refers to the graph of time course of drug accumulation and elimination (katzung, figure 3-3)
- *Fifty percent of the steady-state concentration is reached after one half-life, 75% after two half-lives, and over 90% after four half-lives.
REMEMBER
Disease states can affect both physiologically related primary pharmacokinetic parameters (volume of distribution and clearance). A change in half-life will not necessarily reflect a change in drug elimination.
For example, patients with chronic renal failure have decreased renal clearance of digoxin but also a decreased volume of distribution; the increase in digoxin half-life is not as great as might be expected based on the change in renal function. The decrease in volume of distribution is due to the decreased renal and skeletal muscle mass and consequent decreased tissue binding of digoxin to Na+ /K+-ATPase.
If the dosing interval is shorter than four half-lives, accumulation will be detectable (refer to katzung figure 3-3)
Whenever drug doses are repeated, the drug will accumulate in the body until dosing stops.
Accumulation factor = 1/fraction lost in one dosing interval
** = 1/1 - fraction remaining
**Accumulation is inversely proportional to the fraction of the
dose lost in each dosing interval. The fraction lost is 1 minus the fraction remaining just before the next dose. The fraction
remaining can be predicted from the dosing interval and the half-life
FOR EXAMPLE
For a drug given once every half-life, the accumulation factor is 1/0.5, or 2.
**The accumulation factor predicts the ratio of the
steady-state concentration to that seen at the same time following the first dose. Thus, the peak concentrations after intermittent doses at steady state will be equal to the peak concentration after the first dose multiplied by the accumulation factor.
Defined as the fraction of unchanged drug reaching the systemic circulation following administration by any route
Bioavailability
**The area under the blood concentration-time curve (AUC) is proportional to the extent of bioavailability for a drug if its elimination is first-order
REMEMBER
For an intravenous dose of the drug, bioavailability is assumed to be equal to unity
For a drug administered orally, bioavailability may be less than 100% for two main reasons—incomplete extent of absorption across the
gut wall and first-pass elimination by the liver
REMEMBER
Following absorption across the gut wall, the portal blood delivers the drug to the liver prior to entry into the systemic circulation. A drug can be metabolized in the gut wall or even in the portal blood, but most commonly it is the liver that is responsible for metabolism before the drug reaches the systemic circulation. In addition, the liver can excrete the drug into the bile. Any of these sites can contribute to this reduction in bioavailability, and the overall process is known as first-pass elimination.
The effect of first-pass hepatic elimination on bioavailability is expressed as the extraction ratio (ER):
ER = CLliver/Q
**where Q is hepatic blood flow, normally about 90 L/h in a person weighing 70 kg.
The systemic bioavailability of the drug (F) can be predicted from the extent of absorption (f) and the extraction ratio (ER):
F = f x (1-ER)
The mechanism of drug absorption is said to be zero-order when the rate is independent of the amount of drug remaining in the gut, eg, when it is determined by the rate of gastric emptying or by a controlled release drug formulation
In contrast, when the dose is dissolved in gastrointestinal fluids, the rate of absorption is usually proportional to the gastrointestinal concentration and is said to be first-order.
The hepatic first-pass effect can be avoided to a great extent by using these method
Sublingual tablets and transdermal preparations and to a lesser extent by use of rectal suppositories
**Sublingual absorption provides direct access to systemic—not portal—veins. The transdermal
route offers the same advantage.
**Drugs absorbed from suppositories in the lower rectum enter vessels that drain into the inferior vena cava, thus bypassing the liver. However, suppositories tend to move upward in the rectum into a region where veins that lead to the liver predominate. Thus, only about 50% of a rectal dose can be assumed to bypass the liver