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CHAPTER 3  Pharmacokinetics & Pharmacodynamics: Rational Dosing & the Time Course of Drug Action          45


                                                                         TABLE 3–2   Physical volumes (in L/kg body weight)
                                                                                     of some body compartments into which
                                                                                     drugs may be distributed.
                     A                                                    Compartment
                                                     Concentration        and Volume        Examples of Drugs


                                                                          Water
                                                                             Total body water    Small water-soluble molecules: eg, ethanol
                                                                                 1
                                     Blood            0     Time            (0.6 L/kg )
                                                                             Extracellular water   Larger water-soluble molecules: eg,
                                                                            (0.2 L/kg)      gentamicin
                                                                            Plasma (0.04 L/kg)  Large protein molecules: eg, antibodies
                     B                                                    Fat (0.2-0.35 L/kg)  Highly lipid-soluble molecules: eg,
                                                     Concentration        Bone (0.07 L/kg)  Certain ions: eg, lead, fluoride
                                                                                            diazepam

                                                                         1
                                                                         An average figure. Total body water in a young lean person might be 0.7 L/kg; in an
                                                                         obese person, 0.5 L/kg.
                                     Blood            0     Time

                                                                         Added  together,  these  separate  clearances  equal  total  systemic
                                                                         clearance:
                     C                                                                                                 (3a)
                                                     Concentration




                                                                                                                       (3b)
                       Extravascular  Blood           0     Time
                         volume
                                                                                                                        (3c)

                                                                                                                       (3d)
                     D                                                     “Other” tissues of elimination could include the lungs and
                                                     Concentration       additional sites of metabolism, eg, blood or muscle.

                                                                           The two major sites of drug elimination are the kidneys and
                                                                         the liver. Clearance of unchanged drug in the urine represents
                       Extravascular  Blood           0     Time         renal clearance.  Within the liver, drug elimination occurs via
                         volume
                                                                         biotransformation of parent drug to one or more metabolites, or
                    FIGURE 3–2  Models of drug distribution and elimination. The   excretion of unchanged drug into the bile, or both. The pathways
                    effect of adding drug to the blood by rapid intravenous injection is   of biotransformation are discussed in Chapter 4. For most drugs,
                    represented by expelling a known amount of the agent into a beaker.   clearance is constant over the concentration range encountered in
                    The time course of the amount of drug in the beaker is shown in the   clinical settings, ie, elimination is not saturable, and the rate of
                    graphs at the right. In the first example (A), there is no movement   drug elimination is directly proportional to concentration (rear-
                    of drug out of the beaker, so the graph shows only a steep rise to a   ranging equation [2]):
                    maximum followed by a plateau. In the second example (B), a route
                    of elimination is present, and the graph shows a slow decay after a                                 (4)
                    sharp rise to a maximum. Because the amount of agent in the beaker
                    falls, the “pressure” driving the elimination process also falls, and the   This is usually referred to as first-order elimination.  When
                    slope of the curve decreases. This is an exponential decay curve. In   clearance is first-order, it can be estimated by calculating the area
                    the third model (C), drug placed in the first compartment (“blood”)   under the curve (AUC) of the time-concentration profile after a
                    equilibrates rapidly with the second compartment (“extravascular   dose. Clearance is calculated from the dose divided by the AUC.
                    volume”) and the amount of drug in “blood” declines exponentially   Note that this is a convenient form of calculation—not the defini-
                    to a new steady state. The fourth model (D) illustrates a more realistic   tion of clearance.
                    combination of elimination mechanism and extravascular equilibra-
                    tion. The resulting graph shows an early distribution phase followed   A.  Capacity-Limited Elimination
                    by the slower elimination phase. Note that the volume of fluid
                    remains constant because of a fluid input at the same rate as    For drugs that exhibit capacity-limited elimination (eg,
                    elimination in (B) and (D).                          phenytoin, ethanol), clearance will vary depending on the
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