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Various methods of drug delivery, including intra-arterial, intramuscular, and oral injections. It also covers the effects of pH, drug binding, and tissue binding on drug distribution and elimination. how plasma protein binding influences drug elimination and introduces the concept of the volume of distribution. It concludes by discussing the importance of considering the time course of drug action and the role of pharmacokinetics in understanding drug behavior.
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Often the goal is to attain a therapeutic drug concentration in plasma from which drug enters the tissue (therapeutic window between toxic concentration and minimal effective concentration).
A. Enteral Routes
B. Parenteral Routes
B. Physicochemical Factors: pH Partition Theory
Thus a weak acid (HA) dissociates reversibly in water to produce hydrogen ion H+ and A-. HA <-----> H+ + A-^ (1)
Applying the mass law equation, which demands that concentrations are in moles per liter, we obtain the following equation: [H+] [A-] = Ka (2) [HA]
where Ka is the ionization or dissociation constant of the acid. Since the ion concentrations are in the numerator, the stronger the acid, the higher the value of Ka. Similarly, one could derive Kb for a weak base BOH. Rearranging equation (2) yields the following: [H+] = Ka [HA] (3) [A-]
Taking the log of both sides of the equation: log [H+] = log Ka + log [HA] - log [A-] (4)
And multiplying by -1, we obtain: -log [H+] = -log Ka - log [HA] + log [A-] (5)
By definition, -log [H+] = pH, and -log Ka = pKa. Thus, we obtain the important relationships for acids: pH = pKa + log [A-] (6) [HA] for bases: pH = pKa + log [B] (7) [BH+]
From the pKa, one can calculate the proportions of drug in the charged and uncharged forms at any pH: log [A-] = (pH - pKa) (8) [HA] [A-] = 10 (pH – pKa) (9) [HA] [B] = 10 (pH-pKb) (10) [BH+] pKb = (1-pKa)
What does this background review have to do with pharmacology. Plenty! Most drugs are too large to pass through membrane channels and must diffuse through the lipid portion of the cell membrane. Nonionized drug molecules are readily lipid-soluble, while ionized molecules are lipophobic and are insoluble.
The distribution of a drug across the cell membrane is usually determined by its pKa and the pHs on both sides of a membrane. The difference of pH across a membrane influences the total concentration of drug on either side, since, by diffusion, at equilibrium the concentration of nonionized drug will be the same on either side.
For example, let's consider the influence of pH on the distribution of a drug which is a weak acid (pKa = 4.4) between plasma (pH = 7.4) and gastric juice (pH = 1.4). The mucosa can be considered to be a simple lipid barrier.
Figure 1
Once in the blood, drugs are simultaneously distributed throughout the body and eliminated. Typically, distribution is much more rapid than elimination, is accomplished via the circulation, and is influenced by regional blood flow.
A. Compartments
B. Protein Binding
Many drugs bind to plasma proteins. Weak acids and neutral drugs bind particularly to albumin, while basic drugs tend to bind to alpha-1-acid glycoprotein (orosomucoid). Some drugs even bind to red cell surface proteins.
C. Apparent volume of distribution (AVD or Vd). The volume of distribution, or more properly the apparent volume of distribution, is calculated from measurements of the total concentration of drug in the blood compartment after a single IV injection. Suppose that we injected someone IV with 100 mg of a drug, and measured the blood concentration of the drug repeatedly during the next several hours. We then plot the blood concentrations (on a log scale) against time, and obtain the following graph:
The body is exposed to a wide variety of foreign compounds, called xenobiotics. Exposure to some such compounds is unintentional (e.g., environmental or food substances), while others are deliberately used as drugs. The following discussion of drug biotransformation is applicable to all xenobiotics, and to some endogenous compounds (e.g., steroids) as well.
The kidneys are capable of eliminating drugs which are low in molecular weight, or which are polar and fully ionized at physiologic pH. Most drugs do not fit these criteria, but rather are fairly large, unionized or partially ionized, lipophilic molecules. The general goal of drug metabolism is to transform such compounds into more polar (i.e., more readily excretable) water soluble products. For example, were it not for biotransformation to more water-soluble products, thiopental, a short-acting, lipophilic anesthetic, would have a half-life of more than 100 years! Imagine, without biotransformation reactions, anesthesiologists might grow old waiting for patients to wake up.
Most products of drug metabolism are less active than the parent compound. In some cases, however, metabolites may be responsible for toxic, mutagenic, teratogenic or carcinogenic effects. For example, overdoses of acetaminophen owe their hepatotoxicity to a minor metabolite which reacts with liver proteins. In some cases, with metabolism of so-called prodrugs, metabolites are actually the active therapeutic compounds. The best example of a prodrug is cyclophosphamide, an inert compound which is metabolized by the liver into a highly active anticancer drug.
A. Sites of drug metabolism
the parent drug may undergo phase II conjugation directly. In some cases, a drug may undergo a series of consecutive reactions resulting in the formation of dozens of metabolites. Most phase I MFO biotransformation reactions are oxidative in nature and require a reducing agent (NADPH), molecular oxygen, and a complex of microsomal enzymes; the terminal oxidizing enzyme is called cytochrome P 450 , a hemoprotein so named because its carbon monoxide derivative absorbs light at 450 nm. We now know that cytochrome P 450 is actually a family of enzymes which differ primarily with regard to their substrate specificities. Advances in molecular biology have led to the identification of more than 70 distinct P 450 genes in various species. The nomenclature of the P 450 reductase gene products has become complex. Based upon their amino acid homologies, the P 450 reductases have been grouped into families such that a cytochrome P 450 from one family exhibits < 40% amino acid sequence identity to a cytochrome P 450 in another gene family. Several of the gene families are further divided into subfamilies, denoted by letters A, B, C, etc. Eight major mammalian gene families have been defined (see Table 1).
Table 1: Major Cytochrome P450 Gene Families
P 450 Gene Family/Subfamily
Characteristic Substrates
Characteristic Inducers
Characteristic Inhibitor
CYP 1A2 Acetominophen Estradiol Caffeine
Tobacco Char-Grilled Meats Insulin
Cimetidine Amiodarone Ticlopidine
CYP 2C19 Diazepam, Omeprazole Progesterone
Prednisone Rifampin
Cimetidine Ketoconazole Omeprazole
CYP 2C9 Tamoxifen Ibuprofen Fluoxetine
Rifampin Secobarbital
Fluvastatin Lovastatin Isoniazid
CYP 2D6 Debrisoquine Ondansetron Amphetamine
Dexamethasone? Rifampin?
Cimetidine Fluoxetine Methadone
CYP 2E1 Ethanol Benzene Halothane
Ethanol Isoniazid
Disulfiram Water Cress
CYP 3A4, 5, 7 Cyclosporin Clarithromycin Hydrocortisone Vincristine Many, many others
Barbiturates Glucocorticoids Carbamazepine St. John’s Wort
Cimetidine Clarithromycin Ketoconazole Grapefruit Juice Many others
Table 2: Drug Biotransformation Reactions (Goodman & Gilman, 7th edition, pp. 16-17)
Figure 4
(Goodman & Gilman, 8th edition, p. 16.)
The kidney is the most important organ for the excretion of drugs and/or their metabolites. Some compounds are also excreted via bile, sweat, saliva, exhaled air, or milk, the latter a possible source of unwanted exposure in nursing infants. Drug excretion may involve one or more of the following processes.
A. Renal Glomerular Filtration Glomeruli permit the passage of most drug molecules, but restrict the passage of protein-bound drugs. Changes in glomerular filtration rate affect the rate of elimination of drugs which are primarily eliminated by filtration (e.g., digoxin, kanamycin).
B. Renal Tubular Secretion The kidney can actively transport some drugs (e.g., dicloxacillin) against a concentration gradient, even if the drugs are protein-bound. (Actually, only free drug is transported, but the protein-drug complex rapidly dissociates.) A drug called probenecid competitively inhibits the tubular secretion of the penicillins, and may be used clinically to prolong the duration of effect of the penicillins.
C. Renal Tubular Reabsorption Many drugs are passively reabsorbed in the distal renal tubules. Reabsorption is influenced by the same physicochemical factors that influence gastrointestinal absorption: nonionized, lipid-soluble drugs are extensively reabsorbed into
Figure 5
Figure 5 shows the change in plasma drug concentration [D]p with time after administration of a single oral dose. The interrupted horizontal lines show the minimum effective concentration (MEC) and toxic concentration (TC). A therapeutic effect can be expected only when plasma level is above the MEC and below the TC.
Since effect usually is proportional to plasma (or tissue) concentration, the objective of therapy is to attain and maintain the needed plasma concentration for the period needed, whether this is days or years. To do this, one need understand something about pharmacokinetics.
Most of the pharmacokinetic concepts we will deal with describe the behavior of a simple one-compartment model in which drug equilibrates so rapidly in the entire volume that the dominant factors are the rates of absorption (input) and elimination (output).
Figure 6
In this model kin describes the rate of input and kout the rate of output. When these rates are equal, the amount and concentration in the compartment are constant.
Figure 7
Models of drug distribution and elimination. The effect of adding drug to the blood by rapid intravenous injection is represented by expelling a known amount of the agent into a beaker. The time course of the amount of drug in the beaker is shown in the graphs at the right. In the first example (A), there is no movement of drug out of the beaker, so the graph shows only a steep rise to maximum followed by a plateau. In the second example (B), a route of elimination is presented and the graph shows a slow decay after a sharp rise to a maximum. Because the level of material in the beaker falls, the "pressure" driving the elimination process also falls, and the slope of the curve decreases, approaching the steady state asymptotically. This is an exponential decay curve. In the third model (C), drug placed in the first compartment (blood) equilibrates rapidly with the second compartment (extravascular volume) and the amount of drug in "blood" declines logarithmically to a new steady state. The fourth model (D), illustrates a more realistic combination of elimination mechanism and extravascular equilibration. The resulting graph shows an early distribution phase followed by the slower elimination phase. These curves can be linearized by plotting the logarithm of the amount of drug against time.
For most drugs, absorption and elimination follow first order kinetics because the drug concentration is not sufficient to saturate the mechanism for absorption or elimination. If the process saturates, then zero order kinetics apply. For some drugs, elimination kinetics are dose-dependent (or more correctly, concentration- dependent). As the plasma level increases, the value of t1/2e increases; the plasma concentration increases disproportionately with increases in dose, and finally, elimination rate becomes independent of plasma concentration.
C. The time course of change in plasma concentration When a drug is administered in a single dose, and when absorption and elimination are first order processes, it is reasonable to have some idea of the effects of three variables (t1/2a, dose and t (^) 1/2e) on the time-course of change in plasma concentration, as shown in Figure 9.
Figure 9
D. The Plateau Effect When repeated doses of a drug are given at sufficiently short intervals, and elimination is a first order process, the plasma concentration (and total body store) will increase to a steady value or plateau. The same thing will happen if a drug is administered as a constant rate intravenous infusion (zero order in) and eliminated by a first order process. The latter case may be simpler to consider first.
During constant IV infusion, the total body store increases exponentially to a steady value. The half-time for the change in plasma concentration is equal to t (^) 1/2e. This means that 50% of the final concentration is attained in one t (^) 1/2e, 75% in two and 87.5% in three. 90% of the final value is attained in 3.3t1/2e; this is a useful fact to remember.
With intermittent dosing, unless the dose interval is quite long compared to t1/2e, accumulation and the increase in plasma concentration will follow a similar time- course, but there will be fluctuations in plasma level between doses. The shorter the dose interval and the smaller the dose, the smaller will be the fluctuations.
Figure 10