General Principles: Pharmacokinetics
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Some Factors Influencing Absorption and Bioavailability
Absorption Principles:
Passive diffusion (aqueous or lipid environment): most common
Active transport: important for some drugs, particularly larger molecules.
within large aqueous components (e.g.,interstitial space, cytosol)
across epithelial membrane tight junctions
across endothelial blood vessel lining
through aqueous pores: allows diffusion of molecules with molecular weights up to 20,000 -- 30,000.
Driving force: drug concentration gradient (described by Fick's Law ).
The driving force represents a tendency for molecules to move in the direction of higher concentration to lower concentration in accord with random molecular motion. A traditional way of thinking about this is to imagine a fluid-filled container which is two sections divided by an imaginary plane. The solution on one side is more concentrated in terms of some dissolved substance that is the solution on the other side of the boundary plane.
Recall that the molecules move randomly, suggesting that sometimes a molecule initially in the "low concentration" section can move to the "high concentration" section. However, on balance. It is more likely that based on probability molecules will tend to move from the higher concentrations side to the lower concentrations side. Suppose that initially there are 2,000 molecules on side A and 1,000 molecules on side B. After a while we look again and find that there now are 1750 molecules on side A and 1250 molecules on side B-- a new ratio is been established, but the process continues until the ratio is approximately 1:1.
Flux (J) (molecules per unit time) = (C1 - C2) · (Area ·Permeability coefficient) / Thickness
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Plasma protein-bound drugs cannot permeate through aqueous pores
Charged drugs will be influenced by electric field potentials {membrane potentials, important in renal, trans-tubular transport}
II. Lipid diffusion
Most important barrier for drug permeation due to:
many lipid barriers separating body compartments
Lipid: aqueous drug partition coefficients described the ease with which a drug moves between aqueous and lipid environments
Ionization state of the drug is an important factor: charged drugs diffuse-through lipid environments with difficulty.
pH and the drug pKa, important in determining the ionization state, will influence significantly transport (ratios of lipid-to aqueous-soluble forms for weak acids and bases described by the Henderson-Hasselbalch equation.
uncharged form: lipid-soluble
charged form: aqueous-soluble, relatively lipid-insoluble (does not pass biological membranes easily)
Henderson-Hasselbalch equation
General Form: log (protonated)/(unprotonated) = pKa - pH
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The lower the pH relative to the pKa the greater fraction of protonated drug is found. Recall that the protonated form of an acid is uncharged (neutral); however, protonated form of a base will be charged.
As a result, a weak acid at acid pH will be more lipid-soluble because it is uncharged and uncharged molecules move more readily through a lipid (nonpolar) environment, like the some membrane, than charged molecules
Similarly a weak base at alkaline pH will be more lipid-soluble because at alkaline pH a proton will dissociate from molecule leaving it uncharged and again free to move through lipid membrane structures
Lipid diffusion depends on adequate lipid solubility
Drug ionization reduces a drug's ability to cross a lipid bilayer.
Drugs that are weak acids or bases
A weak acid is a neutral molecule that dissociates into an anion (negatively charged) and a proton (a hydrogen ion) Example:
C8H7O2COOH < > C8H7O2COO- + H+
neutral aspirin (C8H7O2COOH) in equilibrium with aspirin anion (C8H7O2COO- ) and a proton (H+ )
weak acid: protonated form -- neutral, more lipid-soluble
weak base: a neutral molecule that can form a cation (positively charged) by combining with a proton. Example:
C12H11CIN3NH3+ < > C12H11CIN3NH2 + H+
pyrimethamine cation (C12H11CIN3NH3+) in equilibrium with neutral pyrimethamine (C12H11CIN3NH2) and a proton (H+ )
weak base: protonated form -- charged, less lipid-soluble
| Weak acids | pKa |
weak bases |
pKa |
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7.1 |
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8.5 |
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8.1 |
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9.6 |
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9.5 |
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4.6 |
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3.5 |
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7.9 |
III. Special Carriers
Peptides, amino acids, glucose are examples of molecules then enter cells through special carrier mechanisms.
Carriers:
Active transport describes an energy requiring process which is saturable, meaning that transport is probably against the concentration gradient and involves a finite number of carriers, hence the process must be saturable when all carrier sites are filled.
Facilitated diffusion, while not requiring "energy" is also saturable (limited number of carrier sites)
Saturable (unlike passive diffusion) because of limited number of carrier sites--once those sites are filled, transport rates cannot be increased.
A property of carrier systems is that process is subject to inhibition by other small molecules.
IV. Endocytosis and exocytosis:
Entry into cells by very large substances (e.g., iron vitamin B12 -- each complexed with its binding protein -- movement across intestinal wall into the blood)
Neurotransmitter system examples for exocytosis:
Following neuronal electrical activation of nerve endings, two steps may be initiated:
Storage vesicles containing neurotransmitter fuse with cell membranes followed by
release or diffusion of contents into the extracellular region.
Summary

Figure Developed by Dr. Steve Downing, University of Minnesota
Incomplete absorption following oral drug administration is common:
For example -- only 70% of a digoxin dose reaches systemic circulation. Factors:
poor GI tract absorption
digoxin (Lanoxin, Lanoxicaps) --- metabolism by gastrointestinal flora
Very hydrophilic drugs - not be well absorbed --cannot cross cell membrane lipid component
Excessively lipid-soluble (hydrophobic) drugs may not be soluble enough to cross a water layer near the cell membrane.
Nearly all drugs filtered at the glomerulus:
Most drugs in a lipid-soluble form will be reabsorbed by passive diffusion.
To increase excretion: change the urinary pH to favor the charged form of the drug since charged form cannot be readily reabsorbed (they cannot readily pass through biological membranes)
Weak acids: excreted faster in alkaline pH (anion form favored)
Weak bases: excreted faster in acidic pH (cation form favored)
Body fluids where pH differences from blood pH favor trapping or reabsorption:
stomach contents
small intestine
breast milk
aqueous humor (eye)
vaginal secretions
prostatic secretions
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Weak bases-- amines
N + 1 carbon (R) and 2 hydrogens: primary amine (reversible protonation)
N + 2 carbons (R) and 1 hydrogen: secondary amine (reversible protonation)
N + 3 carbons (R): tertiary amine (reversible protonation)
N + 4 carbons (R): quaternary amine (permanently charged)
Katzung, B. G. Basic Principles-Introduction , in Basic and Clinical Pharmacology, (Katzung, B. G., ed) Appleton-Lange, 1998, pp 1-33
Stoelting, R.K., "Pharmacokinetics and Pharmacodynamics of Injected and Inhaled Drugs", in Pharmacology and Physiology in Anesthetic Practice, Lippincott-Raven Publishers, 1999, 1-17.
Oral Administration
Most convenient, most economical
Disadvantages:
emesis (drug irritation of the gastrointestinal mucosa)
digestive enzymes/gastric acidity destroys the drug
unreliable or inconsistent absorption due to food or other drug effects
metabolism of the drug by gastrointestinal flora
Factors determining rate of drug effect onset
Primary factor:
Rate & absorption extent by GI tract
Absorption Site:
mainly small intestine because of large surface area
Drug ionization state:
nonionized (lipid-soluble) forms favor absorption
weak acids may be highly ionized in the alkaline intestinal pH (not favoring absorption) but this effect is counterbalanced by the large surface-area effect
drugs which are weak acids are readily absorbed in the stomach
First-Pass Effect
Drugs absorbed from the GI tract passes through the portal venous system then through the liver and finally into the systemic circulation when drugs interact with receptors in target tissues.
Extensive hepatic metabolism/extraction result in minimal drug delivery to the systemic circulation for certain agents.
Drugs with large first pass effect exhibit significant differences in pharmacological effects comparing oral vs. IV administration
Examples:
propranolol
lidocaine
Transdermal Administration
Advantages:
sustained, therapeutic plasma levels (reduced peaks/valleys associated with intermittent drug administrations)
Avoids continuous infusion technique difficulties
Low side effect incidence (smaller doses)
Generally good patient compliance
Factors contributing to reliable transdermal drug absorption:
molecular weight < 1000
pH range 5-9 in aqueous medium
no histamine-releasing action
daily drug requirement <10 mg
Example of drugs available for transdermal delivery:
scopolamine:-tolerance may eventually occur; resulting in loss of therapeutic action
fentanyl (Sublimaze)
clonidine (Catapres)
nitroglycerin-tolerance may eventually occur; resulting in loss of therapeutic action
Rectal Administration
Proximal rectum administration: Absorption into superior hemorrhoidal veins then enters the portal venous system then to the liver (possible first pass hepatic effect) and finally into the systemic circulation
Low rectal administration of drug may allow the drug to enter the systemic circulation without passing through the liver
Generally unpredictable pharmacological responses for the above reasons
Rectal mucosal irritation possible
Parenteral Administration
Ensures active drug absorption
subcutaneously intramuscular injection: more rapid/predictable than oral administration route
only route of administration acceptable for:
uncooperative patients
unconscious patients
Factors the determine rate of systemic absorption:
absorbing capillary membrane surface area
drug solubility in interstitial fluid
aqueous channels (vascular endothelium) promote high diffusion rates of drugs, independent of their lipid solubility
Advantages of IV administration
rapid/precise blood drug levels obtained (e.g., no first-pass effect)
Irritant drugs: more comfortably administered (blood vessels relatively insensitive); drug rapidly diluted (particularly if administered into large forearm vein)
Stoelting, R.K., "Pharmacokinetics and Pharmacodynamics of Injected and Inhaled Drugs", in Pharmacology and Physiology in Anesthetic Practice, Lippincott-Raven Publishers, 1999, 1-17.
Transport sequence:
across the gut wall into the portal circulation
portal blood transports of the drug to the liver
the drug may then reach the systemic circulation
bioavailability may be affected by steps 1 -- 3
drug metabolism may occur in the intestinal wall or in the blood
drug metabolism (potentially extensive) may occur in liver
liver may excrete drug into the bile
overall process that contributes to bioavailability reduction is the first-pass lost or elimination
Magnitude of first pass hepatic effect: Extraction ratio (ER)
ER = CL liver / Q ; where Q is hepatic blood flow (usually about 90 L per hour {1500 ml/min})
Systemic drug bioavailability (F) may be determined from the extent of absorption (f) and the extraction ratio (ER):
F = f x (1 -ER)
Extraction Ratios, Routes of Administration, and the First-Pass Effect
Some drugs that exhibit high extraction by the liver are given orally.
Some examples -- desipramine (Norpramin), imipramine (Tofranil), meperidine (Demerol), propranolol (Inderal), amitriptyline (Elavil, Endep), isoniazid (INH).
Some drugs which have relatively low bioavailability are not given orally because of concern of metabolite toxicity -- lidocaine is an example (CNS toxicity, convulsions)
High extraction ratio drugs show interpatient bioavailability variation because all of sensitivity to:
hepatic function
blood flow
hepatic disease (intrahepatic or extrahepatic circulatory shunting)
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Avoiding the first-pass effect:
sublingual (e.g. nitroglycerin)-- direct access to systemic circulation
transdermal
use of suppositories in the lower rectum {if suppositories move upward, absorption may occur through the superior hemorrhoidal veins, which lead to the liver}
inhalation: first-pass pulmonary loss by excretion or metabolism may occur.
Pulmonary Implications: Pharmacokinetics
Important for uptake of injected/intravenously administered drugs -- particularly lipophilic amines (pKa= 8)
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lidocaine (Xylocaine) |
propranolol (Inderal) |
meperidine (Demerol) |
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fentanyl (Sublimaze) |
sufentanil (Sufenta) |
alfentanil (Alfenta) |
Pulmonary uptake:
Effects peak arterial concentration
May serve as a reservoir, enabling transport of drug into systemic circulation
First-pass pulmonary effect magnitude not affected by:
spontaneous respiration
controlled ventilation
apnea
Stoelting, R.K., "Pharmacokinetics and Pharmacodynamics of Injected and Inhaled Drugs", in Pharmacology and Physiology in Anesthetic Practice, Lippincott-Raven Publishers, 1999, 1-17.
Volume of distribution (Vd) is the ratio between the amount of drug in body (dose given) and the concentration of the drug (C) measured in blood or plasma.
Vd = (amount of drug in body)/C where C is the concentration of drug in blood or plasma.
Vd as calculated is an apparent volume of distribution. For example:
Vd for digoxin is 440 L/70 kg (liters per 70 kg person)
Vd for chloroquine is 13,000 L/70 kg (liters per 70 kg person)
Such very large Vd would be consistent with very high tissue binding, leaving little free in plasma or blood
Vd is an apparent volume of distribution, since Vd is the volume needed to contain the amount of drug homogeneously at the concentration found in the blood, plasma, or plasma water.
Many drugs have a much higher concentration in extravascular compartments (therefore these drugs are NOT homogeneously distributed)
Physical volumes (L./kg body weight) for some body compartments
Water
Total Body Water (0.5-0.7 L/kg) or about 35000 to 49000 ml (70 kg individual)
Extracellular Water (0.2 L./kg)
Blood (0.08 L./kg);
Plasma (0.04 L./kg)
Fat
0.2 - 0.35 L./kg
Bone
0.07 L/kg

Semilogarithmic plot above illustrates extrapolation to time 0 required to determine the volume of distribution;Vd = dose/Co- also note that the drug elimination halftime can be directly calculated from the graph. This graph applied for a single compartment model only. For multiple compartments which will appear as a. non-linear relationship extrapolation back to t = 0 must be performed for each compartment separately. From Goodman Gilman, A, Rall T, Nies, A, Taylor P, eds Goodman and Gillman: The Pharmacological Basis of Therapeutics, 8th edn, Oxford: Pergamon, 1990
Factors influencing the volume of distribution:
drug pKa
extent of drug-plasma protein binding
partition coefficient of the drug in fat (lipid solubility)
Vd may be affected by:
patient's gender
patient's age
patient's disease
patient's body composition
Example of a poorly lipid soluble agent with a Vd about equal to extracellular fluid volume: nondepolarizing neuromuscular blocking drugs.
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Introduction
Clearance is especially important for insuring appropriate long-term drug dosing -- correct steady-state drug concentrations
Clearance of a given drug is usually constant over the therapeutic concentration range because:
Drug elimination systems are not saturated -- therefore the absolute rate of elimination is a linear function of the drug's plasma concentration.
Drug elimination is therefore usually a first-order kinetic process-- a constant fraction of the drug is eliminated per unit time.
Some drugs (e.g., ethanol) exhibit zero order kinetics -- a constant amount of drug is eliminated per unit time. {Clearance is variable}
Clearance: the drug's rate of elimination (by all routes) normalized to the concentration of drug C in some biological fluid:
CL = Rate of elimination / C
CL = Vd x kel where Vd = volume of distribution and kel is the elimination rate constant
CL = Vd x (0.693/t1/2) where 0.693 = ln2 and t1/2 is the drug elimination half-life
Clearance:
volume per unit time (volume of fluid i.e. blood or plasma that would be completely freed of drug to account for the elimination)
may be defined as:
blood clearance, CLb
plasma clearance, CLp
concentration of unbound or free drug, depending on the concentration measured (Cb, Cp or Cu)
Clearance is additive: a function of elimination by all participating organs such as liver or kidney:
CL systemic = CLrenal + CLhepatic + CLother
"Other" sites may include the lungs and other sites of drug metabolism (muscle, blood)
The two most important sites for drug elimination: kidneys and liver
Renal clearance: clearance of unchanged drug and metabolites
Kidneys: most important organs for unchanged drug/drug metabolites elimination
Water-soluble compounds exhibit more efficient renal excretion compared to lipid soluble compounds (emphasizing the importance of metabolic conversion of lipid-soluble drugs to water-soluble metabolites)
Renal drug clearance is correlated with exogenous creatinine clearance or serum creatinine concentration
Factors in renal excretion:
Glomerular filtration-- important considerations:
Fraction of free drug (compared to protein-bound drug)--when a drug is bound to protein it is not filtered
Glomerular filtration rate
Tubular secretion (active process)-- important considerations:
Drug/metabolite selectivity
Passive tubular reabsorption-- important considerations:
Enhanced lipid solubility favors reabsorption {lipid-soluble agents more readily cross renal tubular epithelial cell membrane thus entering pericapillary fluid}
Example: thiopental (highly lipid-soluble): completely reabsorbed -- minimal unchanged drug excreted in urine
Renal tubular reabsorption rate influenced by:
pH
rate of renal tubular urine flow
weak acid or weak base drug/drug metabolite pKa compared to urinary pH
Hepatic clearance: drug elimination following metabolic transformation of the parent drug to metabolites
Since elimination is not "saturable", elimination is typically first order and directly proportional to drug concentration:
Rate of elimination = CL x C
Other factors affecting renal clearance:
renal disease
rates of filtration depend on:
volume filtered in the glomerulus
unbound drug concentration in plasma (plasma protein-bound drug is not filtered)
drug secretion rates:
extent of drug-plasma protein binding
carrier saturation
drug transfer rates across tubular membranes
rate of drug delivery to secretory sites
changes in plasma protein concentration
blood flow
number of functional nephrons
Factors affecting hepatic clearance:
Drug delivery to hepatic elimination sites may be rate-limiting for certain drugs:
also called flow dependent elimination: in this case most of the drug in the blood is eliminated on the first pass of the drug through the organ
these drugs are termed "high-extraction"
extent of plasma protein-bound drug
blood flow (affects clearance on drugs with high extraction ratios).
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Changes in the intrinsic clearance (i.e. enzyme induction, hepatic disease: affects clearance of drugs with low extraction ratios): Examples --
Social factors:
Tobacco smoke induces some hepatic microsomal drug metabolizing enzyme isoforms (CYP1A1, CYP1A2, and possibly CYP2E1)
Chronic ethanol use induces CYP2E1
Dietary considerations:
Grapefruit juice contains chemicals that are potent inhibitors of CYP3A4 localized in the intestinal wall mucosa
Cruciferous vegetables such as brussels sprouts, cabbage, cauliflower and hydrocarbons present in charcoal-broiled meats can induce CYP1A2.
Calcium present in dairy products can chelate drugs including commonly used tetracyclines and fluoroquinone antibiotics.
Age: Neonates have reduced hepatic metabolism and renal excretion due to relative organ immaturity. On the other hand, elderly patients exhibit differences in absorption, hepatic metabolism, renal clearance and volume of distribution.
Genetic Factors:
Genetic polymorphism affecting CYP2D6, CYP2C19, CYP2A6, CYP2C9, and N-acetyltransferase result in significant inter-individual differences in drug-metabolizing abilities (the drug of course must be a substrate for one of the above cytochrome P450 isoforms)
Certain genetic polymorphisms are associated with ethic groups. For instance, 5%-10% of Caucasians are poor metabolizers of CYP2D6 substrates. By contrast, the frequency in Asian populations is about 1%-2%. On the other hand, the incidence of poor metabolizers of CYP2C19 drugs is about 20% in Asian populations, but only about 4% in Caucasian populations.
Definition: genetic polymorphism -- "Genetic polymorphism is a type of variation in which individuals was sharply distinct qualities co-exist as normal members of the population" Ford, 1940.
Cytochrome P450 isoform naming conventions:
Review -- drug biotransformation usually involves two phases, phase I & phase II.
Phase I reactions are classified typically as oxidations, reductions, or hydrolysis of the parent drug. Following phase I reactions, the metabolites are typically more polar (hydrophilic) which increases the likelihood of their excretion by the kidney. Phase I metabolic products may be further metabolized
Phase II reactions often use phase I metabolites can catalyze the addition of other groups, e.g. acetate, glucuronate, sulfate or glycine to the polar groups present on the intermediate. Following phase II reactions, the resultant metabolite is typically more readily excreted.
Most phase I reactions are catalyzed by the cytochrome P450 system (CYP). This superfamily consists of heme-containing isoenzymes which are mainly localized in hepatocytes, specifically within the membranes of the smooth endoplasmic reticulum. The primary extrahepatic site containing CYP isoforms would be enterocytes of the small intestine.
The gene family name is specified by an Arabic numeral, e.g. CYP3. > 40% of sequence homology characterize CYP isoforms within a family.
CYP families are subdivided into subfamilies designated by an upper case letter, it e.g. CYP3A .
Gene numbers of individual enzymes are noted by a second Arabic numeral following the subfamily letter, e.g. CYP3A4.
CYP isoforms not only metabolize many endogenous substances including prostaglandins, lipids, fatty acids, and steroid hormones but also metabolize (detoxify) exogenous substances including drugs
Major CYP isoforms responsible for drug metabolism include:CYP3A4, CYP2D6, CYP2C9, CYP2C19, CYP1A2, CYP2E1 in in certain cases CYP2A6 and CYP2D6
Important enzymes for phase II reactions include glutathione-S-transferases, UDP-glucuronosyl transferases, sulfotransferases, N-acetyltransferases, methyltransferases and acyltransferases.
Drug examples: ethanol, aspirin.
Capacity-limited elimination:
saturable, dose-or concentration-dependent
nonlinear
Michaelis-Menten elimination
If blood flow to the organ does not limit elimination, the relationship between the elimination rate and drug concentration,C, is:
rate of elimination = Vmax · C / (Km + C)
the form of this equation is very similar to the Michaelis-Menten description of enzyme kinetics. Here, however:
Vmax refers to maximum elimination capacity
Km is the drug concentration at which the rate of elimination is 50% of Vmax.
As expected from the rectangular-hyperbolic shape of the curve, at high drug concentrations (compared to the Km), dependency of elimination rate on drug concentration decreases significantly, approximating zero order behavior. see below:
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Holford, N. H.G. and Benet, L.Z. Pharmacokinetics and Pharmacodynamics: Dose Selection and the Time Course of Drug Action, in Basic and Clinical Pharmacology, (Katzung, B. G., ed) Appleton-Lange, 1998, pp 34-49.
Benet, Leslie Z, Kroetz, Deanna L. and Sheiner, Lewis B The Dynamics of Drug Absorption, Distribution and Elimination. In, Goodman and Gillman's The Pharmacologial Basis of Therapeutics,(Hardman, J.G, Limbird, L.E, Molinoff, P.B., Ruddon, R.W, and Gilman, A.G.,eds) The McGraw-Hill Companies, Inc.,1996, pp. 3-27
Stoelting, R.K., "Pharmacokinetics and Pharmacodynamics of Injected and Inhaled Drugs", in Pharmacology and Physiology in Anesthetic Practice, Lippincott-Raven Publishers, 1999, 1-17.
Introduction
Half-life: (t1/2) -- time required to decrease the amount of drug in body by 1/2 during elimination (or during a constant infusion).
Assumption:
single body compartment size = volume of distribution (Vd)
blood or plasma considered in equilibrium with total volume of distribution
t1/2 = (0.693 · Vd)/CL
t1/2 = (0.693)/kel
0.693 equals the natural logarithm of two. {Since drug elimination is an exponential process, the time required for a twofold decreased is proportional to ln(2)}.
kel = km + kex; where the elimination rate, kel ,constant is the sum of the rate constants due to metabolism, km , and excretion,kex.
Factors affecting t1/2:
disease states-- affects volume of distribution and clearance
example 1:a patient with chronic renal failure--
decreased digoxin (Lanoxin, Lanoxicaps) renal clearance
decreased Vd due to decreased renal and skeletal muscle mass (decreased digoxin tissue binding)
resultant increase in digoxin half-life less than expected based on renal function change
example 2: half-life of diazepam (Valium) increases with age --
clearance does not change
volume of distribution changes
example 3: half-life changes secondary to changes in plasma protein binding.
patients with acute viral hepatitis: half-life of Tolbutamide (Orinase) decreases (opposite of expected?)
Acute viral hepatitis alters plasma and tissue drug-protein binding; the disease does not change volume of distribution but increases total clearance because more free drug (not bound to protein) is present.
Elimination halftime and anesthesia:
Elimination halftime is important in estimating recovery from anesthetic drug administration.
In the case of IV administered agents, an inconsistency between the elimination halftimes following a single, bolus injection compared to continuous IV infusion, has resulted in the development of an idea of referred to as "context-sensitive or dependent" halftimes.
The definition of "context-sensitive" halftimes is the length of time required for the drug plasma concentration to fall 50% after continuous infusion
For IV anesthetic drug pharmacokinetics, special problems exist because those significant differences in individual drug requirements (up to 2-5 times) as a result of dose-plasma and plasma-effect relationships
By contrast to the above special problems associated with IV anesthetic drug pharmacokinetics and variation between drugs, a similar problem does not exist for the volatile agents were drug-effect relationships appear more predictable.
Half-life:
Useful in estimating time to steady-state: approximately 4 half-lives are required to reach about 94% of a new steady-state
Useful in estimating time required for drug removal from the body
means for estimation of appropriate dosing interval
With repeating drug doses, the drug will accumulate in the body until dosing ceases.
Practically: accumulation will be observed if the dosing interval is less than 4 half-lives.
Accumulation: inversely proportional to the fraction of the dose lost in each dosing interval
Accumulation factor = 1/Fraction lost in one dosing interval = 1/(1 - fraction remaining)
For example, the accumulation factor for a drug given once every half-life: 1/0.5 equals 2.
Definition: fraction of unchanged drug that reaches systemic circulation following administration (by any Route of Administration)
Examples:
IV administration: bioavailability = 1
Other routes of administration = < 1
Major factors that reduce bioavailability to less than 100%:
incomplete absorption
first-pass effect (liver metabolizes drug before drug reaches systemic circulation)
Incomplete absorption following oral drug administration is common:
For example -- only 70% of a digoxin dose reaches systemic circulation. Factors:
poor GI tract absorption
digoxin metabolism by gastrointestinal flora
Very hydrophilic drugs - not be well absorbed --cannot cross cell membrane lipid component
Excessively lipid-soluble (hydrophobic) drugs may not be soluble enough to cross a water layer near the cell membrane.
Transport sequence:
across the gut wall into the portal circulation
portal blood transports of the drug to the liver
the drug may then reach the systemic circulation
bioavailability may be affected by steps 1 -- 3
drug metabolism may occur in the intestinal wall or in the blood
drug metabolism (potentially extensive) may occur in liver
liver may excrete drug into the bile
overall process that contributes to bioavailability reduction is the first-pass lost or elimination
Magnitude of first pass hepatic effect: Extraction ratio (ER)
ER = CL liver / Q ; where Q is hepatic blood flow (usually about 90 L per hour
Systemic drug bioavailability (F) may be determined from the extent of absorption (f) and the extraction ratio (ER):
F = f x (1 -ER)
rate of absorption:dependent on site of administration and drug formulation
zero order: drug absorption rate -- independent of amount remaining in the gut
first order: drug absorption rate -- proportional to the drug concentration dissolved in the gastrointestinal tract
Extraction Ratios, Routes of Administration, and the First-Pass Effect
Some drugs that exhibit high extraction by the liver are given orally. Some examples -- desipramine (Norpramin), imipramine (Tofranil), meperidine (Demerol), propranolol (Inderal), amitriptyline (Elavil, Endep), isoniazid (INH).
Some drugs which have relatively low bioavailability are not given orally because of concern of metabolite toxicity -- lidocaine (Xylocaine) is an example (CNS toxicity, convulsions)
High extraction ratio drugs show interpatient bioavailability variation because all of sensitivity to:
hepatic function
blood flow
hepatic disease (intrahepatic or extrahepatic circulatory shunting)
Drugs poorly extracted by the liver:
phenytoin (Dilantin)
diazepam (Valium)
digitoxin (Crystodigin)
chlorpropamide (Diabinese)
theophylline
Tolbutamide (Orinase)
warfarin (Coumadin)
Avoiding the first-pass effect:
sublingual (e.g. nitroglycerin)-- direct access to systemic circulation
transdermal
use of suppositories in the lower rectum {if suppositories move upward, absorption may occur through the superior hemorrhoidal veins, which lead to the liver}
inhalation: first-pass pulmonary loss by excretion or metabolism may occur.
Holford, N. H.G. and Benet, L.Z. Pharmacokinetics and Pharmacodynamics: Dose Selection and the Time Course of Drug Action, in Basic and Clinical Pharmacology, (Katzung, B. G., ed) Appleton-Lange, 1998, pp 34-49.
Benet, Leslie Z, Kroetz, Deanna L. and Sheiner, Lewis B The Dynamics of Drug Absorption, Distribution and Elimination. In, Goodman and Gillman's The Pharmacologial Basis of Therapeutics,(Hardman, J.G, Limbird, L.E, Molinoff, P.B., Ruddon, R.W, and Gilman, A.G.,eds) TheMcGraw-Hill Companies, Inc.,1996, pp. 3
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