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Tiêu đề Time to reach steady state
Chuyên ngành Clinical pharmacology
Thể loại Lecture notes
Năm xuất bản 2003
Định dạng
Số trang 13
Dung lượng 1,76 MB

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When a drug is given at a constant rate continuous or intermittent the time to reach steady state depends only on the t'/ 2 and, for all practical purposes, after 5 x t'/ 2 the amount of

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Time to reach steady state

If a drug is administered by constant-rate i.v

infusion it is important to know when steady state

has been reached, for maintaining the same dosing

schedule will then ensure a constant amount of

drug in the body and the patient will experience

neither acute toxicity nor decline of effect The t1/2

provides the answer: with the passage of each t1/2

period of time, the plasma concentration rises by

half the difference between the current concentration

and the ultimate steady-state (100%) concentration

Thus:

in 1 x t1/2, the concentration will reach (100/2)

50%,

in 2 x t1/2 (50 + 50/2) 75%,

in 3 x i\ (75 + 25/2) 87.5%,

in 4 x ty2 (87.5 + 12.5/2) 93.75%

in 5 x i\ (93.75 + 6.25/2) 96.875% of the ultimate

steady state

When a drug is given at a constant rate (continuous or

intermittent) the time to reach steady state depends only

on the t'/ 2 and, for all practical purposes, after 5 x t'/ 2 the

amount of drug in the body will be constant and the

plasma concentration will be at a plateau.

Changes in plasma concentration

The same principle holds for change from any

steady-state plasma concentration to a new steady

state brought about by increase or decrease in the

rate of drug administration, provided the kinetics

remain first-order Thus when the rate of

admin-istration is altered to cause either a rise or a fall in

plasma concentration, a new steady-state

concen-tration will eventually be reached and it will take

a time equal to 5 x t l / 2 to reach the new steady

state

Note that the actual level of any steady-state

plasma concentration (as opposed to the time taken

to reach it) is determined only by the difference

between the rate of drug administration (input) and

the rate of elimination (output) If drug elimination

remains constant and administration is increased

by 50%, in time a new steady-state concentration

will be reached which will be 50% greater than the

original

Decline in plasma concentration

Since t1/2 is the time taken for any plasma con-centration to decline by one-half, starting at any steady-state (100%) plasma concentration, in 1 x t1/2 the plasma concentration will fall to 50%, in 2 x t1/2

to 25%, in 3 x t1/2 to 12.5%, in 4 x t1/2 to 6.25% and in

5 x t1/2 to 3.125% of the original steady-state concentration

Hence the i l / 2 can predict the rate and extent of decline in plasma concentration after dosing is discontinued The relation between t/£ and time to reach steady-state plasma concentration applies to all drugs that obey first-order kinetics, as much to dobutamine (t/£ 2 min) when it is useful to know that an alteration of infusion rate will reach a

plateau within 10 min, as to digoxin (i l / 2 36 h) when

a constant (repeated) dose will give a steady-state plasma concentration only after 7.5 days Plasma t1/2 values are given in the text where they seem particularly relevant Inevitably, natural variation within the population produces a range in tl / 2 values for any drug For clarity only, single average t1/2 values are given while recognising that the population range may be as much as 50% from the stated figure

in either direction

A few t1/2 values are listed in Table 7.1 so that they can be pondered upon in relation to dosing in clinical practice

Biological effect t^ is the time in which the biological effect of a drug declines by one half With drugs that act competitively on receptors (a- and (3-adrenoceptor agonists and antagonists) the biological effect t1/2 can be provided with reasonable accuracy

TABLE 7.1 Plasma t'/ 2 of some drugs

adenosine dobutamine benzylpenicillin amoxycillin paracetamol midazolam tolbutamide atenolol dothiepin (dosulepin) diazepam

piroxicam ethosuximide

< 2 s e c

2 min

30 min

1 h

2 h

3 h

6 h

7 h

25 h

40 h

45 h

54 h

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T I M E C O U R S E O F D R U G C O N C E N T R A T I O N A N D E F F E C T 7

Sometimes the biological effect t l / 2 cannot be

pro-vided, e.g with antimicrobials when the number of

infecting organisms and their sensitivity determine

the outcome

THERAPEUTIC MONITORING

The issues that concern the practising doctor are not

primarily those of changing drug plasma

concen-tration but relate to drug effect: to the onset,

magnitude and duration of action of individual

doses Accurate information about the time course

of drug action is less readily obtained than that

about plasma concentration This immediately raises

implications about the relation between plasma

concentration and drug effect and, particularly, the

extent to which useful response may be predicted

by measuring the concentration of drug in plasma

Experience shows that patients differ greatly in

the amount of drug required to achieve the same

response The dose of warfarin that maintains a

therapeutic concentration may vary as much as

5-fold between individuals, and there are many other

examples This is hardly surprising considering

known variation in rates of drug metabolism, in

disposition and in tissue responsiveness, and it

raises the question of how optimal drug effect can

be achieved quickly in each patient, i.e can drug

therapy be individualised? A logical approach is to

assume that effect is related to drug concentration

at the receptor site in the tissues and that in turn the

plasma concentration is likely to be constantly

related to, though not necessarily the same as, tissue

concentration Indeed, for many drugs, correlation

between plasma concentration and clinical effect is

better than that between dose and effect Yet

monitoring therapy by measuring drug in plasma is

of practical use only in selected instances The

reasons for this repay some thought

Plasma concentration may not be worth measuring.

This is the case where dose can be titrated against a

quickly and easily measured effect such as blood

pressure (antihypertensives), body weight (diuretics),

INR (oral anticoagulants) or blood sugar

(hyp-oglycaemics)

Plasma concentration has no correlation with

effect This is the case with drugs that act

irreversibly and these have been named 'hit and run drugs' because their effect persists long after the drug has left the plasma Such drugs destroy or inactivate target tissue (enzyme, receptor) and restoration of effect occurs only after days or weeks, when resynthesis takes place, e.g some monoamine oxidase inhibitors, aspirin (on platelets), some anticholinesterases and anticancer drugs

Plasma concentration may correlate poorly with effect Inflammatory states may cause misleading results if only total drug concentration is measured Many basic drugs, e.g lidocaine, disopyramide, bind

to acute phase proteins, e.g o^-acid glycoprotein, which are present in greatly elevated concentration

in inflammatory states The consequent rise in total drug concentration is due to increase in bound (inactive) but not in the free (active) concentration and correlation with effect will be poor if only total drug is measured The best correlation is likely to be achieved by measurement of free (active) drug in plasma water but this is technically more difficult and total drug in plasma is usually monitored in routine clinical practice

The assay procedure may not measure metabolites

of a drug that are pharmacologically active, e.g some benzodiazepines, or may measure metabolites that are pharmacologically inactive; in either event correlation between plasma concentration and effect is weakened

Plasma concentration may correlate well with effect.

When this is the case, and when the therapeutic effect is inconvenient to measure, dosage may best

be monitored according to the plasma concentration (in relation to a previously defined optimum range) Plasma concentration monitoring has proved useful in the following situations:

• As a guide to the effectiveness of therapy, e.g plasma gentamicin and other antimicrobials against sensitive bacteria, plasma theophylline for asthma, blood ciclosporin to avoid transplant rejection

• When the desired effect is suppression of infrequent sporadic events such as epileptic seizures or episodes of cardiac arrhythmia

• To reduce the risk of adverse drug effects, e.g otic damage with aminoglycoside antibiotics or

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adverse CNS effects of lithium, when therapeutic

doses are close to toxic doses (low therapeutic

index)

When lack of therapeutic effect and toxicity may

be difficult to distinguish Digoxin is both a

treatment for, and sometimes the cause of,

cardiac supraventricular tachycardia; a plasma

digoxin measurement will help to distinguish

whether an arrhythmia is due to too little or too

much digoxin

When there is no quick and reliable assessment

of effect, e.g lithium for mood disorder

To check patient compliance on a drug regimen,

when there is failure of therapeutic effect at a

dose that is expected to be effective, e.g

antiepilepsy drugs

To diagnose and treat drug overdose

Interpreting plasma concentration

measurements

The following points are relevant:

• A target therapeutic concentration range quoted

for a drug should be regarded only as a guide to

help to optimise dosing and should be evaluated

with other clinical indicators of progress

• Consider whether a patient has been taking a

drug for a sufficient time to reach steady-state

conditions, i.e when 5 t1/2 periods have elapsed

since dosing commenced or since the last change

in dose In the case of drugs that alter their own

rates of metabolism by enzyme induction, e.g

carbamazepine and phenytoin, it is best to allow

2-4 weeks to elapse between change in dose and

plasma concentration measurement Sampling

when plasma concentrations are still rising or

falling towards a steady state is likely to be

misleading

• Consider whether peak or trough concentration

should be measured As a general rule when a

drug has a short t l / 2 it is desirable to know both;

monitoring peak (15 min after an i.v dose) and

trough (just before the next dose) concentrations

of gentamicin (t1/2 2.5 h) helps to provide efficacy

without toxicity For a drug with a long t1/2, it is

usually best to sample just before a dose is due;

effective immunosuppression with ciclosporin

(t l / 2 27 h) is obtained with trough concentrations

of 50-200 micrograms/1 when the drug is given

by mouth

Recommended plasma concentrations for drugs appear throughout this book where these are relevant

Individual pharmacokinetic processes

This section considers the processes whereby drugs are absorbed into, distributed around, metabolised

by and eliminated from the body

Absorption

Commonsense considerations of anatomy, physio-logy, pathophysio-logy, pharmacophysio-logy, therapeutics and convenience determine the routes by which drugs are administered Usually these are:

• Enteral: by mouth (swallowed) or by sublingual

or buccal absorption; by rectum

• Parenteral: by intravenous injection or infusion,

intramuscular injection, subcutaneous injection

or infusion, inhalation, topical application for local (skin, eye, lung) or for systemic

(transdermal) effect

• Other routes, e.g intrathecal, intradermal,

intranasal, intratracheal, intrapleural, are used when appropriate

The features of the various routes, their advantages and disadvantages are relevant

ABSORPTION FROM THE GASTROINTESTINAL TRACT

The small intestine is the principal site for absorption

of nutrients and it is also where most orally-administered drugs enter the body This part of the gut has two important attributes, an enormous surface area due to the intestinal villi, and an epithelium through which fluid readily filters in response to osmotic differences caused by the

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presence of food It follows that drug access to the

small intestinal mucosa is important and disturbed

alimentary motility can reduce absorption, i.e if

gastric emptying is slowed by food, or intestinal

transit is accelerated by gut infection The colon is

capable of absorbing drugs and many

sustained-release formulations probably depend on absorption

there

Absorption of ionisable drugs from the buccal

mucosa is influenced by the prevailing pH which is

6.2-7.2 Lipid-soluble drugs are rapidly effective by

this route because blood flow through the mucosa

is abundant and entry is directly into the systemic

circulation, avoiding the possibility of first-pass

(presystemic) inactivation in the liver (see below)

The stomach does not play a major role in absorbing

drugs, even those that are acidic and thus

un-ionised and lipid-soluble at gastric pH, because its

surface area is much smaller than that of the small

intestine and gastric emptying is speedy (t/£ 30 min)

ENTEROHEPATIC CIRCULATION

This system is illustrated by the bile salts, which are

conserved by circulating through liver, intestine

and portal blood about eight times a day A number

of drugs form conjugates with glucuronic acid in

the liver and are excreted in the bile These

glucuronides are too polar (ionised) to be reabsorbed;

they therefore remain in the gut, are hydrolysed by

intestinal enzymes and bacteria, releasing the parent

drug, which is then reabsorbed and reconjugated in

the liver Enterohepatic recycling appears to help

sustain the plasma concentration and thus the effect

of sulindac, pentaerythritol tetranitrate and

ethinyloestradiol (in many oral contraceptives)

SYSTEMIC AVAILABILITY AND

BIOAVAILABILITY

When a drug is injected intravenously it enters the

systemic circulation and thence gains access to the

tissues and to receptors, i.e 100% is available to

exert its therapeutic effect If the same quantity of

the drug is swallowed, it does not follow that the

entire amount will reach first the portal blood and

then the systemic blood, i.e its availability for

therapeutic effect via the systemic circulation may

be less than 100% The anticipated response to a

A B S O R P T I O N

drug may not be achieved unless availability to the systemic circulation is taken into account In a strict sense, considerations of reduced availability apply whenever any drug intended for systemic effect is given by any route other than the intravenous, but

in practice the issue concerns enteral admin-istration The extent of systemic availability is ordinarily calculated by relating the area under the plasma concentration-time curve (AUC) after a single oral dose to that obtained after i.v admin-istration of the same amount (by which route a drug is 100% systemically available) Different pharmaceutical formulations of the same drug can thus be compared Factors influencing systemic availability may be thought of in three main ways:

Pharmaceutical factors 8 The amount of drug that

is released from a dose form (and so becomes

available for absorption) is referred to as its

bio-availability This is highly dependent on its

pharma-ceutical formulation With tablets, for example, particle size (surface area exposed to solution), diluting substances, tablet size and pressure used in the tabletting machine can affect disintegration and dissolution and so the bioavailability of the drug Manufacturers are expected to produce a formulation with an unvarying bioavailability so that the same amount of drug is released with the same speed from whatever manufactured batch or brand the patient may be taking Substantial differences in bioavailability of digoxin tablets from one manufacturer occurred when only the technique and machinery for making the tablets were changed; also tablets containing the same amount

8 Some definitions of enteral dose-forms: Tablet: a solid dose

form in which the drug is compressed or moulded with pharmacologically inert substances (excipients); variants

include sustained-release and coated tablets Capsule: the drug is provided in a gelatin shell or container Mixture: a

liquid formulation of a drug for oral administration.

Suppository: a solid dose-form shaped for insertion into

rectum (or vagina, when it may be called a pessary); it may be

designed to dissolve or it may melt at body temperature (in which case there is a storage problem in countries where the environmental temperature may exceed 37°C); the vehicle in which the drug is carried may be fat, glycerol with gelatin, or macrogols (polycondensation products of ethylene oxide)

with gelatin Syrup: the drug is provided in a concentrated sugar (fructose or other) solution Linctus: a viscous liquid

formulation, traditional for cough.

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of digoxin but made by different companies, were

shown to produce different plasma concentrations

and therefore different effects, i.e there was neither

bioequivalence nor therapeutic equivalence Physicians

tend to ignore pharmaceutical formulation as a

factor in variable or unexpected responses because

they do not understand it and feel entitled to rely

on reputable manufacturers and official regulatory

authorities to ensure provision of reliable

formu-lations Good pharmaceutical companies reasonably

point out that, having a reputation to lose, they take

much trouble to make their preparations consistently

reliable This is a matter of great importance when

dosage must be precise (anticoagulants, antidiabetics,

adrenal steroids) The following account by Lauder

Brunton in 1897 indicates that the phenomenon of

variable bioavailability is not recent.

A very unfortunate case occurred some time ago in

a doctor who had prescribed aconitine to a patient

and gradually increased the dose He thought he

was quite certain that he knew what he was doing.

The druggist's supply of aconitine ran out, and he

procured some new aconitine from a different

maker This turned out to be many times stronger

than the other, and the patient unfortunately

became very ill The doctor said, Tt cannot be the

medicine', and to show that this was true, he drank

off a dose himself with the result that he died So

you must remember the difference in the different

preparations of aconitine, 9

i.e they had different bioavailability and so lacked

therapeutic equivalence.

Biological factors Those related to the gut include

destruction of drug by gastric acid, e.g

benzyl-penicillin, and impaired absorption due to intestinal

hurry which is important for all drugs that are

slowly absorbed Drugs may also bind to food

constituents, e.g tetracyclines to calcium (in milk),

and to iron, or to other drugs (e.g acidic drugs to

cholestyramine) and the resulting complex is not

absorbed.

Presystemic (first-pass) elimination Despite the

9 The doctor would have died of cardiac arrhythmia and/or

cerebral depression Aconitine is a plant alkaloid and has no

place in medicine.

fact that they readily enter gut mucosal cells, some drugs appear in low concentration in the systemic circulation The reason lies in the considerable extent

to which such drugs are metabolised in a single passage through the gut wall and (principally) the liver This is a significant feature of the oral route, and as little as 10-20% of the parent drug may reach the systemic circulation unchanged By contrast, if the drug is given intravenously, 100% becomes systemically available and the patient is exposed

to higher concentrations with greater, but more predictable, effect If a drug produces active metabolites, differences in dose may not be as great

as those anticipated on the basis of differences in plasma concentration of the parent drug after intravenous and oral administration Once a drug is

in the systemic circulation, irrespective of which route is used, about 20% is subject to the hepatic metabolic processes in each circulation because that

is the proportion of cardiac output that passes to the liver.

As the degree of presystemic elimination differs much between drugs and between individuals, the phenomenon of first-pass elimination adds to variation in systemic plasma concentrations, and thus particularly in initial response to the drugs that are subject to this process When a drug is taken in overdose, presystemic elimination may be reduced, and bioavailability increased; this may explain rapid onset of toxicity with antipsychotic drugs, many of which undergo first-pass elimination.

Drugs for which presystemic elimination is significant include:

Analgesics

dextropropoxyphene morphine

pentazocine pethidine

Adrenoceptor b/ockers labetalol

propranolol metoprolol oxprenolol

Others clomethiazole chlorpromazine isosorbide dinitrate nortriptyline

In severe hepatic cirrhosis with both impaired liver cell function and well-developed channels shunting blood into the systemic circulation without passing through the liver, first-pass elimination is reduced and systemic availability is increased The result of these changes is an increased likelihood of exaggerated response to normal doses of drugs

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having high hepatic clearance and, on occasion,

frank toxicity

Drugs that exhibit the hepatic first-pass

phenom-enon do so because of the rapidity with which they

are metabolised The rate at which drug is delivered

to the liver, i.e blood flow, is then the main

determinant of its metabolism Many other drugs

are completely metabolised by the liver but at a

slower rate and consequently loss in the first pass

through the liver is unimportant The parenteral

dose of these drugs does not need to be reduced to

account for presystemic elimination Such drugs

include diazepam, phenytoin, theophylline, warfarin

ADVANTAGES AND DISADVANTAGES

OF ENTERAL ADMINISTRATION

By swallowing

For systemic effect Advantages are convenience

and acceptability

Disadvantages are that absorption may be delayed,

reduced or even enhanced after food or slow or

irregular after drugs that inhibit gut motility

(antimuscarinic, opioid) Differences in presystemic

elimination are a cause of variation in drug effect

between patients Some drugs are not absorbed

(gentamicin) and some drugs are destroyed in the

gut (insulin, oxytocin, some penicillins) Tablets

taken with too small a quantity of liquid and in the

supine position, can lodge in the oesophagus with

delayed absorption10 and may even cause ulceration

(sustained-release potassium chloride and

doxy-cycline tablets), especially in the feeble elderly and

those with an enlarged left atrium which impinges

on the oesophagus.11

10 A woman's failure to respond to antihypertensive

medication was explained when she was observed to choke

on drinking Investigation revealed a large pharyngeal

pouch that was full of tablets and capsules Her blood

pressure became easy to control when the pouch was

removed Birch D J, Dehn T C B 1993 British Medical Journal

306:1012.

11 Ideally solid-dose forms should be taken standing up and

washed down with 150 ml (tea cup) of water; even sitting

(higher intra-abdominal pressure) impairs passage At least

patients should be told to sit and take 3 or 4 mouthfuls of

water (a mouthful = 30 ml) or a cupful Some patients do not

even know they should take water.

A B S O R P T I O N

For effect in the gut Advantages are that the drug is

placed at the site of action (neomycin, anthelminthics), and with nonabsorbed drugs the local concentration can be higher than would be safe in the blood

Disadvantages are that drug distribution may be

uneven, and in some diseases of the gut the whole thickness of the wall is affected (severe bacillary dysentery, typhoid) and effective blood concentra-tions (as well as luminal concentraconcentra-tions) may be needed

Sublingual or buccal for systemic effect

Advantages are that quick effect is obtained, e.g.

with glyceryl trinitrate as an aerosol spray, or as sublingual tablets which can be chewed, giving greater surface area for solution Spitting out the tablet will terminate the effect

Disadvantages are the inconvenience if use has to

be frequent, irritation of the mucous membrane and excessive salivation which promotes swallowing,

so losing the advantages of bypassing presystemic elimination

Rectal administration For systemic effect (suppositories or solutions).

The rectal mucosa has a rich blood and lymph supply and, in general, dose requirements are either the same or slightly greater than those needed for oral use Drugs chiefly enter the portal system, but those that are subject to hepatic first-pass elimination may escape this if they are absorbed from the lower rectum which drains directly to the systemic circulation The degree of presystemic elimination thus depends on distribution within the rectum and this is somewhat unpredictable

Advantages are that a drug that is irritant to the

stomach can be given by suppository (aminophylline, indomethacin); the route is suitable in vomiting, motion sickness, migraine or when a patient cannot swallow, and when cooperation is lacking (sedation

in children)

Disadvantages are psychological in that the

patient may be embarrassed or may like the route too much; rectal inflammation may occur with repeated use and absorption can be unreliable, especially if the rectum is full of faeces

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For local effect, e.g in proctitis or colitis, an obvious

use

A survey in the UK showed that a substantial

proportion of patients did not remove the wrapper

before inserting the suppository

ADVANTAGES AND DISADVANTAGES

OF PARENTERAL ADMINISTRATION

(for systemic and local effect)

Intravenous (bolus or infusion)

An i.v bolus, i.e rapid injection, passes round the

circulation being progressively diluted each time; it

is delivered principally to the organs with high

blood flow (brain, liver, heart, lung, kidneys)

Advantages are that the i.v route gives swift,

effective and highly predictable blood concentration

and allows rapid modification of dose, i.e immediate

cessation of administration is possible if unwanted

effects occur during administration The route is

suitable for administration of drugs that are not

absorbed from the gut or are too irritant (anticancer

agents) to be given by other routes

Disadvantages are the hazard if a drug is given

too quickly, as plasma concentration may rise at

such a rate that normal mechanisms of distribution

and elimination are outpaced Some drugs will act

within one arm-to-tongue (brain) circulation time

which is 13 ± 3 seconds; with most drugs an

injection given over 4 or 5 circulation times seems

sufficient to avoid excessive plasma concentrations

Local venous thrombosis is liable to occur with

prolonged infusion and with bolus doses of irritant

formulations, e.g diazepam, or microparticulate

components of infusion fluids, especially if small

veins are used Infection of the intravenous catheter

and the small thrombi on its tip are also a risk

during prolonged infusions

Intramuscular injection

Blood flow is greater in the muscles of the upper

arm than in the gluteal mass and thigh, and also

increases with physical exercise (Usually these

influences are unimportant but one football-playing

patient who was given an intramuscular injection

of a sustained-release phenothiazine developed an

extrapyramidal disorder towards the end of the game, presumably due to too rapid absorption of the drug.)

Advantages are that the route is reliable, suitable

for irritant drugs, and depot preparations (neuroleptics, hormonal contraceptives) can be used at monthly

or longer intervals Absorption is more rapid than following subcutaneous injection (soluble prep-arations are absorbed within 10-30 min)

Disadvantages are that the route is not acceptable

for self-administration, it may be painful, and if any adverse effects occur to a depot formulation, it cannot be removed

Subcutaneous injection

Advantages are that the route is reliable and is

acceptable for self-administration

Disadvantages are poor absorption in peripheral

circulatory failure Repeated injections at one site can cause lipoatrophy, resulting in erratic absorption (see Insulin)

By inhalation

As a gas, e.g volatile anaesthetics

As an aerosol, e.g P2-adrenoceptor agonist bron-chodilators Aerosols are particles dispersed in a gas, the particles being small enough to remain in suspension for a long time instead of sedimenting rapidly under the influence of gravity; the particles may be liquid (fog) or solid (smoke)

As a powder, e.g sodium cromoglicate Particle

size and air flow velocity are important Most particles above 5 micrometres in diameter impact in the upper respiratory areas; particles of about 2 micrometres reach the terminal bronchioles; a large proportion of particles less than micrometer will be exhaled Air flow velocity diminishes considerably

as the bronchi progressively divide, promoting drug deposition peripherally

Advantages are that drugs as gases can be rapidly

taken up or eliminated, giving the close control that has marked the use of this route in general anaesthesia from its earliest days Self-administration

is practicable Aerosols and powders provide

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high local concentration for action on bronchi,

minimising systemic effects

Disadvantages are that special apparatus is

needed (some patients find pressurised aerosols

difficult to use to best effect) and a drug must be

nonirritant if the patient is conscious Obstructed

bronchi (mucus plugs in asthma) may cause therapy

to fail

Topical application

For local effect, e.g to skin, eye, lung, anal canal,

rectum, vagina

Advantage is the provision of high local

con-centration without systemic effect (usually12)

Disadvantage is that absorption can occur,

especially when there is tissue destruction so that

systemic effects result, e.g adrenal steroids and

neomycin to the skin, atropine to the eye Ocular

administration of a (3-adrenoceptor blocker may

cause systemic effects (any first-pass elimination is

bypassed) and such eye drops are contraindicated

for patients with asthma or chronic lung disease.13

There is extensive literature on this subject

charac-terised by expressions of astonishment that serious

effects, even death, can occur

For systemic effect Transdermal delivery systems

(TDS) release drug through a rate-controlling

membrane into the skin and so into the systemic

circulation Fluctuations in plasma concentration

associated with other routes of administration are

largely avoided, as is first-pass elimination in the

D I S T R I B U T I O N

liver Glyceryl trinitrate and postmenopausal hormone replacement therapy may be given this way, in the form of a sticking plaster attached to the skin14 or as an ointment (glyceryl trinitrate) A nasal spray containing sumatriptan may be used to treat migraine

Distribution

If a drug is required to act throughout the body or

to reach an organ inaccessible to topical admin-istration, it must be got into the blood and into other body compartments Most drugs distribute widely, in part dissolved in body water, in part bound to plasma proteins, in part to tissues Distribution is often uneven, for drugs may bind selectively to plasma or tissue proteins or be localised within particular organs Clearly, the site

of localisation of a drug is likely to influence its action, e.g whether it crosses the blood-brain barrier to enter the brain; the extent (amount) and strength (tenacity) of protein or tissue binding (stored drug) will affect the time it spends in the body and thereby its duration of action

Drug distribution, its quantification and its clinical implications are now discussed

DISTRIBUTION VOLUME

The pattern of distribution from plasma to other body fluids and tissues is a characteristic of each

12 A cautionary tale A 70-year-old man reported left breast

enlargement and underwent mastectomy; histological

examination revealed benign gynaecomastia Ten months

later the right breast enlarged Tests of endocrine function

were normal but the patient himself was struck by the fact

that his wife had been using a vaginal cream (containing

0.01% dienestrol) initially for atrophic vaginitis but latterly

the cream had been used to facilitate sexual intercourse

which took place two to three times a week On the

assumption that penile absorption of oestrogen was

responsible for the disorder, exposure to the cream was

terminated The gynaecomastia in the remaining breast then

resolved (Di Raimondo C V et al 1980 New England Journal

of Medicine 302:1089).

13 Two drops of 0.5% timolol solution, one to each eye, can

equate to 10 mg by mouth.

14 But TDS may have an unexpected outcome for, not only may the sticking plaster drop off unnoticed, it may find its way onto another person A hypertensive father rose one morning and noticed that his clonidine plaster was missing from his upper arm He could not find it and applied a new plaster His nine-month-old child, who had been taken into the paternal bed during the night because he needed comforting, spent an irritable and hypoactive day, refused food but drank and passed more urine than usual The missing clonidine patch was discovered on his back when he was being prepared for his bath No doubt this was accidental, but children also enjoy stick-on decoration and the possibility of poisoning from misused, discarded or new (e.g strong opioid, used in palliative care) drug plasters means that these should be kept and disposed of as carefully

as oral formulations (Reed M T et al 1986 New England Journal of Medicine 314: 1120).

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The distribution volume of a drug is the volume in which

it appears to distribute (or which it would require) if the

concentration throughout the body were equal to that in

plasma, i.e as if the body were a single compartment.

drug that enters the circulation and it varies between

drugs Precise information on the concentration of

drug attained in various tissues and fluids requires

biopsy samples and for understandable reasons this

is usually not available for humans (although

positive emission tomography offers a prospect of

obtaining similar information).15 What can be

sampled readily in humans is blood plasma, the

drug concentration in which, taking account of the

dose, is a measure of whether a drug tends to

remain in the circulation or to distribute from the

plasma into the tissues If a drug remains mostly in

the plasma, its distribution volume will be small; if

it is present mainly in other tissues the distribution

volume will be large

Such information is clinically useful Consider

drug overdose Removing a drug by haemodialysis

is likely to be a beneficial exercise only if a major

proportion of the total body load is in the plasma,

e.g with salicylate which has a small distribution

volume; but haemodialysis is an inappropriate

treatment for overdose with dothiepin which has a

large distribution volume These, however, are

generalisations and if the knowledge of distribution

volume is to be of practical value it must be

quantified more precisely

The principle for establishing the distribution

volume is essentially that of using a dye to find the

volume of a container filled with liquid The weight

of dye that is added divided by the concentration of

dye once mixing is complete gives the distribution

volume of the dye, which is the volume of the

container Similarly, the distribution volume of a

drug in the body may be determined after a single

15 With positron emission tomography (PET), a positron

emitting isotope, e.g 15 O, is substituted for a stable atom

without altering the chemical behaviour of the molecule.

The radiation dose is very low but can be imaged

tomographically using photomultiplier-scintillator detectors.

PET can be used to monitor effects of drugs on metabolism in

the brain, e.g 'on' and 'off phases in parkinsonism There

are many other applications.

intravenous bolus dose by dividing the dose given

by the concentration achieved in plasma.16 The result of this calculation, the distribution volume, in fact only rarely corresponds with a physiological body space such as extracellular water or total body water, for it is a measure of the volume a drug would apparently occupy knowing the dose given and the plasma concentration achieved and assuming the entire volume is at that concentration For this reason, it is often referred to

as the apparent distribution volume Indeed, for some

drugs that bind extensively to extravascular tissues, the apparent distribution volume, which is based

on the resulting low plasma concentration, is many times total body volume

Distribution volume is the volume of fluid in which the drug appears to distribute with a concentration equal to that in plasma.

The list in Table 7.2 illustrates a range of apparent distribution volumes The names of those substances that distribute within (and have been used to measure) physiological spaces are printed

in italics

Selective distribution within the body occurs because of special affinity between particular drugs and particular body constituents Many drugs bind to proteins in the plasma; phenothiazines and chloro-quine bind to melanin-containing tissues, including the retina, which may explain the occurrence of retinopathy Drugs may also concentrate selectively

in a particular tissue because of specialised transport mechanisms, e.g iodine in the thyroid

16 Clearly a problem arises in that the plasma concentration is not constant but falls after the bolus has been injected To get round this, use is made of the fact that the relation between the logarithm of plasma concentration and the time after a single intravenous dose is a straight line The log concentration-time line extended back to zero time gives the theoretical plasma concentration at the time the drug was given In effect, the assumption is made that drug distributes instantaneously and uniformly through a single

compartment, the distribution volume This mechanism, although seeming artificial, does usefully characterise drugs according to the extent to which they remain in or distribute out from the circulation.

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TABLE 7.2 Apparent distribution volume of some

drugs (Figures are in litres for a 70 kg person who

would displace about 70 I) 17

Drug

Evans blue

heparin

aspirin

inulin

gentamicin

frusemide

amoxycillin

antipyrine

Distribution

volume

3 (plasma volume)

5

II

15 (extracellular

water)

18

21

28

43 (total body

water)

Drug

atenolol diazepam pethidine digoxin nortriptyline nortriptyline dothiepin chloroquine

Distribution volume 77 140 280 420

1000 1000

4900 13000

PLASMA PROTEIN ANDTISSUE

BINDING

Many natural substances circulate around the body

partly free in plasma water and partly bound to

plasma proteins; these include cortisol, thyroxine,

iron, copper and, in hepatic or renal failure,

byproducts of physiological intermediary

metab-olism Drugs, too, circulate in the protein-bound and

free states, and the significance is that the free fraction

is pharmacologically active whereas the protein-bound

component is a reservoir of drug that is inactive

because of this binding Free and bound fractions

are in equilibrium and free drug removed from the

plasma by metabolism, dialysis or excretion is

replaced by drug released from the bound fraction

Albumin is the main binding protein for many

natural substances and drugs Its complex structure

has a net negative charge at blood pH and a high

capacity but low (weak) affinity for many basic

drugs, i.e a lot is bound but it is readily released

Two particular sites on the albumin molecule bind

acidic drugs with high affinity (strongly) but these

sites have low capacity Saturation of binding sites

on plasma proteins in general is unlikely in the

doses in which most drugs are used

Other binding proteins in the blood include

lipoprotein and o^-acid glycoprotein, both of which

carry basic drugs such as quinidine, chlorpromazine

and imipramine Such binding may have implications

17 Litres per kg are commonly used, but give a less vivid

image of the implication of the term 'apparent', e.g.

chloroquine.

D I S T R I B U T I O N

for therapeutic drug monitoring according to plasma concentration Thyroxine and sex hormones are bound in the plasma to specific globulins

Disease may modify protein binding of drugs to

an extent that is clinically relevant as Table 7.3 shows

In chronic renal failure, hypoalbuminaemia and

retention of products of metabolism that compete for binding sites on protein are both responsible for the decrease in protein binding of drugs Most affected are acidic drugs that are highly protein bound, e.g phenytoin, and special care is needed when initiating and modifying the dose of such drugs for patients with renal failure (see also Prescribing in renal disease, p 541)

Chronic liver disease also leads to

hypoalbumin-aemia and increase of endogenous substances such

as bilirubin that may compete for binding sites on protein Drugs that are normally extensively protein bound should be used with special caution, for increased free concentration of diazepam, tolbutamide and phenytoin have been demonstrated

in patients with this condition (see also Prescribing

in liver disease, p 652)

The free, unbound and therefore pharmacologically active percentages of some drugs are listed in Table 7.3 to illustrate the range and, in some cases, the changes caused by disease

Drugs may interact competitively at plasma protein

binding sites as is discussed on page 131

Tissue binding Some drugs distribute readily to regions of the body other than plasma, as a glance

TABLE 7.3 Examples of plasma protein binding of drugs and effects of disease

Drug warfarin diazepam frusemide (furosemide) tolbutamide

clofibrate amitriptyline phenytoin triamterene trimethoprim theophylline morphine digoxin amoxicillin ethosuximide

% unbound (free)

1

2 (6% in liver disease)

2 (6% in nephrotic syndrome) 2

4 ( 1 1 % in nephrotic syndrome) 5

9 (19% in renal disease)

1 9 (40% in renal disease) 30

35 (71% in liver disease) 65

75 (82% in renal disease) 82

100

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