4. FIRST ORDER ELIMINATION
There is elimination / metabolism of a
constant fraction of drug per unit time.
The rate of elimination is directly proportional
to drug concentration
Elimination systems are not saturated by
drugs
Most drugs are eliminated by first order
(exponential) kinetics
5.
6. ZERO-ORDER KINETICS
Nonlinear , Capacity limited
elimination, saturation kinetics,
dose- or concentration
dependent, &
Michaelis-Menten elimination
Rate of elimination = VmaxX C
Km + C
7. ZERO-ORDER KINETICS
A constant amount of drug will be
eliminated per unit time (e.g., 10 mg will
be eliminated every 8 hours)
The amount of elimination remains
constant over time irrespective of drug
concentration
Eliminating mechanisms are saturated
10. KINETIC CHANGES FROM FIRST TO ZERO ORDER
When therapeutic doses of drugs exceeds
the capacity of elimination mechanisms
As a result plasma concentration ↑es
disproportionately with ↑ in dose – at high
therapeutic or toxic concentration
Aspirin, phenytoin, tolbutamide,
theophylline, warferin
Over most of its plasma
concentration range -- ethanol
11.
12. • Constant fraction Constant am
• Elimination systems
are not saturated are saturated
13. DRUG ELIMINATION
The irreversible loss of drug
from the body
Metabolism (biotransformation)
Excretion --- Removal of
chemically unchanged drug
or its metabolite from the
body.
14. HOW BIOTRANSFORMATION HELPS IN
EXCRETION OF DRUGS?
Biotransformation involves two kind
of reaction, phase I and phase II.
Both phases ↓ lipid
solubility
Drugs become more hydrophilic
-------Increase renal / bile
excretion
15. THE MAIN ROUTES OF ELIMINATION/EXCRETION
The kidneys
The hepatobiliary
system
The lungs (volatile /
gaseous anaesthetics,
alcohol)
16. OTHER ROUTES OF ELIMINATION/EXCRETION
Faeces – unabsorbed drug + drug secreted
in bile
Saliva --- a unique taste of some drugs –
metronidazole, phenytoin
Sweat --- iodide, rifampicin, heavy metals
Tears
Milk – with possible transfer to neonates
Salicylates, theophylline,primidone,
ethosuximide, phenoparbitone, phenothiazines,
β-blockers
17. RENAL ELIMINATION OF DRUGS & DRUG
METABOLITES
Three fundamental processes account for
renal drug excretion
Glomerular filtration
Active tubular secretion
Passive diffusion across
tubular epithelium
18. GLOMERULAR FILTRATION
Only free drugs, diffuse into glomerular
filtrate
Most drugs with the exception of
macromolecules such as heparin diffuse into
glomerular filtrate
Lipid solubility and pH do not influence
the passage of drug into the glomerular
filtrate
Rate of filtration depends on GFR,
concentration of free drug and its molecular
weight
19. ONLY FREE DRUGS, DIFFUSE INTO GLOMERULAR
FILTRATE
The equilibrium between the free and
bound drug is not disturbed.
There is no tendency of a drug to dissociate
as the blood traverses the glomerulus
Warfarin – 98 % bound to albumin. Its
concentration in the filtrate is only 2 % of the
that of plasma
20. ACTIVE TUBULAR SECRETION IN PROXIMAL
TUBULES
Drug molecules are transferred to the tubular
lumen by two independent and relatively
non selective carrier system
Transport acidic drugs
(endogenous -- uric acid) --
Penicillin, salicylic acid, probenecid,
Frusemide
Organic bases – Amphetamine,
Histamine
21. ACTIVE TUBULAR SECRETION
The transportation is against an
electrochemical gradient, and Can reduce the
plasma concentration nearly to zero
The carrier transports drug molecules
unaccompanied by water
The free plasma concentration falls, causing
dissociation of bound drug from plasma albumin
100% of drug, bound and free is available to the
carrier
22. ACTIVE TUBULAR SECRETION
Penicillin –
80% bound to plasma protein
Cleared slowly by filtration
Completely removed by tubular secretion
Many drugs compete for the same transport
system leading to drug interactions
Probenecid – prolongs the action of
penicillin by retarding its tubular secretion
23. PASSIVE DISTAL TUBULAR REABSORPTION
Water is reabsorbed as fluid traverses the
tubule. The intraluminal concentration of drug
↑es & exceeds that of the perivascular space
There is passive reabsorption of lipid
soluble, unionized drug
Rate of absorption depends on
Lipid solubility and pK of the drug
Concentration gradient of the drug between the
urine and plasma
24. “ION TRAPPING”
Ionized, lipid insoluble drugs cannot
diffuse back out of tubular lumen &
are excreted in the urine
Alteration of urinary pH affect the
elimination of weak acids and bases by
affecting the degree of ionization
Acidification of the urine will result in a higher
proportion of the un-ionized form of an acidic
drug and will facilitate reabsorption
25. PH CHANGE AND IONIZATION
If pH drops from the pKa value by one unit
an acid becomes 91% unionized and a base
becomes 91% ionized
If pH drops from pKa value by 2 units an
acid becomes 99% unionized and a base
becomes 99% ionized
The acid aspirin (pKa 3.5) is 99% unionized
at pH 1.5 (gastric lumen) and 99% ionized at
pH 5.5 (urine)
The base pethidine pKa is 99% ionized at pH 6.6
(urine)
26. DRUGS EXCRETED UNCHANGED IN THE URINE
Percentage Drug excreted
100-75 Frusemide, Gentamicin,
Methotrexate, Atenolol,
Digoxin
75-50 Benzylpenicillin,
Cimetidine, Neostigmine
Oxytetracycline,
~ 50 Propentheline,
Tubocurarine
27. FACTOR INFLUENCE RENAL CLEARANCE
Age --- some mechanism of renal excretion may
not be developed at the time of birth
Renal failure --- the clearance of
drug may be reduced
significantly, resulting in higher
plasma level
For those drugs with a narrow
therapeutic index, dose
adjustment may be required
28.
29. Role of drug metabolism
Phase I and phase II reactions
↑ drug polarity
Ion trapping:
Ionized, lipid insoluble drugs
Cannot diffuse back out of tubular lumen
& are excreted in the urine
30. CLEARANCE
The clearance of a drug is the volume of
plasma from which the drug is completely
removed in unit time
CL = Rate of elimination / Cp
CLr = Cu x Vu
Cp
CLr varies for different drugs ---- from < 1ml/min
to 700 ml/min (=renal plasma flow)
Unit of clearance is volume/time
31. • A fraction of the drug molecules present in the plasma are re
• It requires 50 ml of plasma to account for the amount of drug
eliminated every minute
32. FLOW DEPENDENT CLEARANCE
Flow limited clearance --- Drugs with “high”
clearance
A drug that is very effectively extracted by an organ, The blood
is completely cleared of the drug as it passes through the organ
Change in blood flow effect the clearance more than
the disease of the organ
Drugs with “low” clearance are removed slowly
Specific organ clearance is the capacity of an
individual organ to eliminate the drug
Due to metabolism – hepatic clearance
Due to excretion – renal clearance by elimination in
urine
33. TOTAL BODY CLEARANCE
It is the sum of the clearances from the
various drug metabolizing & drug eliminating
organs
Cltotal = CLrenal + CLHepatic + CLPulmonary +
Clothers
A patient in renal failure may some times
benefit from a drug that is excreted by
liver
Total clearance can be derived from the
steady state equation
34. BILIARY EXCRETION & ENTEROHEPATIC
CIRCULATION
By p-glycoproteins liver cells transfer drugs
from plasma to bile
Enterohepatic circulation --- Prolongs drug
action
Rifampicin, indomethacin, estradiol, Morphine
Chloramphenicol, tetracycline, oral contraceptives
and erythromycin
Drugs excreted in bile
Vencuronium is excreted unchanged in bile
Rifampicin is absorbed from the gut and slowly
deacylated, retaining its biological activity. Both forms are
excreted in the bile, but the deacylated form is not
reabsorbed. So eventually most of the drug leaves the
body in this form in the faeces
35. • Metabolism
• Excretion into the bile
By p-glycoproteins liver cells transfer drug molecules
from plasma to bile
36.
37. EXTRACTION RATIO AND EXTRACTION RATE
Extraction ratio is the decline of drug concentration
in the plasma from arterial to the venous side of the
kidney = C2/C1
It represents the ability of an organ to remove a drug
from the perfusing blood during its passage through
the organ, and is expressed as a percentage or
fraction.
ER = CLliver
Q
Excretion rate
Excretion rate = (clearance) (plasma concentration)
mg/min ml/minmg/ml
38. HALF LIFE OF A DRUG (T1/2)
The plasma half life of a drug
is the time taken for its
plasma concentration to be
reduced to half of its
original value (in the
therapeutic range) during
elimination
39. HALF LIFE OF A DRUG (T1/2)
For drugs eliminated by first-order
kinetics
t1/2 of a drug does not depend on the size
of administered dose
t1/2 = 0.7 Vd / CL
[The natural logrithium of 2 = 0.693 (approx ---
0.7)]
40.
41.
42.
43. DOSE ADJUSTMENT AND T ½ OF A DRUG
Adjustment of dose is required if t 1/2 of a
drug is increased by
↓ renal plasma flow or hepatic blood flow
Cardiogenic shock, heart failure, or hemorrhage
↓ extraction ratio
Renal diseases
↓ metabolism
Another drug inhibits its biotransformation or
cirrhosis of liver
44. Nearly complete drug
elimination occurs in 4-5 half-
lives
t1/2 --- 50% drug is eliminated
t1/2 --- 75% (50+25)drug is eliminated
t1/2 --- 87.5 % (50+25+12.5) drug is
eliminated
t1/2 --- 93.75% (50+25+12.5+6.25) drug is
eliminated
45.
46. DRUG ACCUMULATION
Administered much faster than elimination
If the dosing interval is shorter than 4 half-
lives, the drug will accumulate in the body
and reach toxic levels.
Accumulation factor =
1 / fraction lost in one dosing interval
= 1 / 1- fraction remaining
47. ELIMINATION FASTER THAN ADMINISTRATION
If elimination greatly exceeds
the rate of delivery, the
concentration in the body may
never reach therapeutic
levels.
Vmax ----- maximun elimination capacity, C --- concentration
Km ---- drug concentration at which the rate of elimination is 50% of Vmax
Vmax ----- maximun elimination capacity, C --- concentration
Km ---- drug concentration at which the rate of elimination is 50% of Vmax
Vmax ----- maximun elimination capacity, C --- concentration
Km ---- drug concentration at which the rate of elimination is 50% of Vmax
KD 28
R & D 113
R & D 113
Converted into toxic products
Acetaminophen when taken in large doses – N-acetyl-P benzoquinone imine
Halothane -- trifluoroacetic acid
Methoxyflurane – fluoride
Cyclophosphamide – phosphoramide mustard --- acrolein
Lippin 17
Kd 28
Ke --- rate constant of elimination
R & D 118
Ke + the first order rate constant for drug elimination from the total body – the fraction of total amount of drug in the body which is removed per unit time
Exponent --- A mathematical notation indicating the number of times a quantity is multiplied by itself
Ke + the first order rate constant for drug elimination from the total body – the fraction of total amount of drug in the body which is removed per unit time
Exponent --- A mathematical notation indicating the number of times a quantity is multiplied by itself