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CHAPTER 3  Pharmacokinetics & Pharmacodynamics: Rational Dosing & the Time Course of Drug Action          47


                    half-life. A convenient index of accumulation is the accumula-
                                                                              Concentration of drug in blood      TC
                    tion factor:






                                                                    (7)
                                                                                                                      C
                                                                                                                      A
                                                                                                                      B
                                                                                                Time
                       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   A: Drug rapidly and completely available
                    steady-state concentration to that seen at the same time following   B: Only half of availability of A but rate equal to A
                    the first dose. Thus, the peak concentrations after intermittent   C: Drug completely available but rate only half of A
                    doses at steady state will be equal to the peak concentration after
                    the first dose multiplied by the accumulation factor.  FIGURE 3–4  Blood concentration-time curves illustrating how
                                                                         changes in the rate of absorption and extent of bioavailability can
                    Bioavailability                                      influence both the duration of action and the effectiveness of the
                                                                         same total dose of a drug administered in three different formula-
                    Bioavailability is defined as the fraction of unchanged drug reach-  tions. The dashed line indicates the target concentration (TC) of the
                    ing the systemic circulation following administration by any route   drug in the blood.
                    (Table 3–3). The area under the blood concentration-time curve
                    (AUC) is proportional to the dose and the extent of bioavailability
                    for a drug if its elimination is first-order (Figure 3–4). For an intra-  This is mainly due to lack of absorption from the gut. Other drugs are
                    venous dose, bioavailability is assumed to be equal to unity. For a   either too hydrophilic (eg, atenolol) or too lipophilic (eg, acyclovir)
                    drug administered orally, bioavailability may be less than 100% for   to be absorbed easily, and their low bioavailability is also due to
                    two main reasons—incomplete extent of absorption across the gut   incomplete absorption. If too hydrophilic, the drug cannot cross
                    wall and first-pass elimination by the liver (see below).  the lipid cell membrane; if too lipophilic, the drug is not soluble
                                                                         enough to cross the water layer adjacent to the cell. Drugs may
                    A.  Extent of Absorption                             not be absorbed because of a reverse transporter associated with
                    After oral administration, a drug may be incompletely absorbed,   P-glycoprotein. This process actively pumps drug out of gut wall
                    eg, only 70% of a dose of digoxin reaches the systemic circulation.   cells back into the gut lumen. Inhibition of P-glycoprotein and
                                                                         gut wall metabolism, eg, by grapefruit juice, may be associated
                                                                         with substantially increased drug absorption.
                    TABLE 3–3   Routes of administration, bioavailability,
                                 and general characteristics.            B.  First-Pass Elimination
                                                                         Following absorption across the gut wall, the portal blood delivers
                     Route            Biovailability (%)  Characteristics
                                                                         the drug to the liver prior to entry into the systemic circulation.
                     Intravenous (IV)  100 (by definition)  Most rapid onset  A drug can be metabolized in the gut wall (eg, by the CYP3A4
                     Intramuscular (IM)  75 to ≤100   Large volumes often   enzyme system) or even in the portal blood, but most commonly
                                                      feasible; may be   it is the liver that is responsible for metabolism before the drug
                                                      painful            reaches the systemic circulation. In addition, the liver can excrete
                     Subcutaneous (SC)  75 to ≤100    Smaller volumes than   the drug into the bile. Any of these sites can contribute to this
                                                      IM; may be painful  reduction in bioavailability, and the overall process is known as
                     Oral (PO)        5 to <100       Most convenient;   first-pass elimination. The effect of first-pass hepatic elimination
                                                      first-pass effect may   on bioavailability is expressed as the extraction ratio (ER):
                                                      be important
                     Rectal (PR)      30 to <100      Less first-pass effect
                                                      than oral                                                        (8a)

                     Inhalation       5 to <100       Often very rapid
                                                      onset              where Q is hepatic blood flow, normally about 90 L/h in a person
                     Transdermal      80 to ≤100      Usually very slow   weighing 70 kg.
                                                      absorption; used     The systemic bioavailability of the drug (F) can be predicted
                                                      for lack of first-pass   from the extent of absorption (f) and the extraction ratio (ER):
                                                      effect; prolonged
                                                      duration of action
                                                                                                                       (8b)
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