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ELIMINATION KINETICS
Dr. Lily Dubey
Assistant Professor
Dept. of Pharmacology
Dr. D Y Patil Medical College
9/27/2017Eliminationkinetics
2
ROUTES OF DRUG EXCRETION
 Hydrophilic compounds can be easily
excreted
 Liver
 Kidney
 Sweat and saliva
 Milk
 Pulmonary
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HEPATIC EXCRETION
 Drugs can be excreted in bile, especially when the are
conjugated with – glucuronic Acid
Portal
vein
Bile duct
Intestines
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ENTEROHEPATIC CYCLING
 Eg. steroid hormones, rifampicin, amoxycillin,
contraceptives
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Drug is absorbed
glucuronidated or sulfatated in the liver
and secreted through the bile
glucuronic acid/sulfate is cleaved off by
bacteria in GI tract
drug is reabsorbed
RENAL EXCRETION
 Glomerular Filtration
 Depends on their plasma protein binding and renal
blood flow
 Tubular Reabsorption
 Back diffusion of Drugs (99%) – lipid soluble drugs
 Depends on pH of urine, ionization
 Tubular Secretion
 Energy dependent
 Utilized clinically – penicillin Vs probenecid, probenecid
Vs uric acid (salicylate)
 Quinidine decreases renal and biliary clearance of
digoxin by inhibiting efflux carrier P-gp
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Eliminationkinetics
KINETICS OF ELIMINATION
 Pharmacokinetics - F, V, CL, t1/2
 Clearance: volume of plasma from which drug
is completely removed in unit time
CL = Rate of elimination /C
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PLASMA HALF-LIFE
 Defined as time taken for its plasma concentration
to be reduced to half of its original value –
t1/2 = In2/k
In2 = natural logarithm of 2 (0.693)
k = elimination rate constant
Elimination rate constant = CL / V
t1/2 = 0.693 x V / CL
CL = RoE/C
V = dose IV/C
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PLASMA HALF-LIFE
1 half-life …………. 50%
2 half-lives………… 25%
3 half-lives …….…..12.5%
4 half-lives ………… 6.25%
50 + 25 + 12.5 +
6.25 = 93.75
93.75 + 3.125 +
1.56 = 98%
after 5 HL
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Eliminationkinetics
REPEATED DOSING
 At steady state, elimination = input
Dose Rate = target Cpss x CL
Oral administration
Dose rate = target Cpss x CL/F
Zero order kinetics: Michaelis Menten kinetics
RoE = (Vmax) (C) / Km + C
Vmax = max. rate of drug elimination
Km = Plasma conc at which elimination rate is half maximal
CL = Roe/C
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Eliminationkinetics
THE PLATUE PRINCIPLE
Repeated dosing:
• When constant dose of
a drug is repeated before
the expiry of 4 half-life –
peak concentration is
achieved after certain
interval
• Balances between dose
administered and dose
interval
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Eliminationkinetics
STEADY STATE CONCENTRATION
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Peaks and troughs
KINETICS OF ELIMINATION
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KINETICS OF IV DOSING
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Eliminationkinetics
KINETICS OF ELIMINATION
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Eliminationkinetics
FIRST ORDER ZERO ORDER
Drug eliminated in
unit time
Constant fraction Constant amount
Nature Elimination proportional to
drug concentration
Elimination saturates at
higher concentration
Plasma
concentration – time
curve
Exponential decay Linear decay
On log scale linear Non- linear
kinetics Linear kinetics Non linear kinetics
Drugs Most drugs(95%) Alcohol, aspirin, warfarin,
theophylline
TARGET LEVEL STRATEGY
 Low safety margin drugs (anticonvulsants, antidepressants,
Lithium, Theophylline – maintained at certain concentration
within therapeutic range
 Drugs with short half-life (2-3 Hrs) –administered at conventional
intervals (6-12 Hrs) – fluctuations are therapeutically acceptable
 Long acting drugs:
 Loading dose: Single dose or repeated dose in quick succession –
to attain target conc. Quickly
Loading dose = target Cp X V/F
 Maintenance dose: dose to be repeated at specific intervals
Maintanace dose = ssPC X Clearance/F
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Eliminationkinetics
THERAPEUTIC DRUG MONITORING(TDM)
 Useful in
 Narrow safety margin drugs – digoxin, anticonvulsants,
antiarrhythmics and aminoglycosides
 Large individual variation – lithium and antidepressants
 Renal failure cases
 Poisoning cases
 Not useful in
 Response measurable drugs – antihypertensives
 Drugs activated in body – levodopa
 Hit and run drugs – Reseprpine, MAO inhibitors
 Irreversible action drugs – Organophosphorous compounds
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Elimination kinetics

  • 1. ELIMINATION KINETICS Dr. Lily Dubey Assistant Professor Dept. of Pharmacology Dr. D Y Patil Medical College
  • 3. ROUTES OF DRUG EXCRETION  Hydrophilic compounds can be easily excreted  Liver  Kidney  Sweat and saliva  Milk  Pulmonary 9/27/2017 3 Eliminationkinetics
  • 4. HEPATIC EXCRETION  Drugs can be excreted in bile, especially when the are conjugated with – glucuronic Acid Portal vein Bile duct Intestines 9/27/2017 4 Eliminationkinetics
  • 5. ENTEROHEPATIC CYCLING  Eg. steroid hormones, rifampicin, amoxycillin, contraceptives 9/27/2017 5 Eliminationkinetics Drug is absorbed glucuronidated or sulfatated in the liver and secreted through the bile glucuronic acid/sulfate is cleaved off by bacteria in GI tract drug is reabsorbed
  • 6. RENAL EXCRETION  Glomerular Filtration  Depends on their plasma protein binding and renal blood flow  Tubular Reabsorption  Back diffusion of Drugs (99%) – lipid soluble drugs  Depends on pH of urine, ionization  Tubular Secretion  Energy dependent  Utilized clinically – penicillin Vs probenecid, probenecid Vs uric acid (salicylate)  Quinidine decreases renal and biliary clearance of digoxin by inhibiting efflux carrier P-gp 9/27/2017 6 Eliminationkinetics
  • 7. KINETICS OF ELIMINATION  Pharmacokinetics - F, V, CL, t1/2  Clearance: volume of plasma from which drug is completely removed in unit time CL = Rate of elimination /C 9/27/2017 7 Eliminationkinetics
  • 8. PLASMA HALF-LIFE  Defined as time taken for its plasma concentration to be reduced to half of its original value – t1/2 = In2/k In2 = natural logarithm of 2 (0.693) k = elimination rate constant Elimination rate constant = CL / V t1/2 = 0.693 x V / CL CL = RoE/C V = dose IV/C 9/27/2017 8 Eliminationkinetics
  • 9. PLASMA HALF-LIFE 1 half-life …………. 50% 2 half-lives………… 25% 3 half-lives …….…..12.5% 4 half-lives ………… 6.25% 50 + 25 + 12.5 + 6.25 = 93.75 93.75 + 3.125 + 1.56 = 98% after 5 HL 9/27/2017 9 Eliminationkinetics
  • 10. REPEATED DOSING  At steady state, elimination = input Dose Rate = target Cpss x CL Oral administration Dose rate = target Cpss x CL/F Zero order kinetics: Michaelis Menten kinetics RoE = (Vmax) (C) / Km + C Vmax = max. rate of drug elimination Km = Plasma conc at which elimination rate is half maximal CL = Roe/C 9/27/2017 10 Eliminationkinetics
  • 11. THE PLATUE PRINCIPLE Repeated dosing: • When constant dose of a drug is repeated before the expiry of 4 half-life – peak concentration is achieved after certain interval • Balances between dose administered and dose interval 9/27/2017 11 Eliminationkinetics
  • 15. KINETICS OF IV DOSING 9/27/2017 15 Eliminationkinetics
  • 16. KINETICS OF ELIMINATION 9/27/2017 16 Eliminationkinetics FIRST ORDER ZERO ORDER Drug eliminated in unit time Constant fraction Constant amount Nature Elimination proportional to drug concentration Elimination saturates at higher concentration Plasma concentration – time curve Exponential decay Linear decay On log scale linear Non- linear kinetics Linear kinetics Non linear kinetics Drugs Most drugs(95%) Alcohol, aspirin, warfarin, theophylline
  • 17. TARGET LEVEL STRATEGY  Low safety margin drugs (anticonvulsants, antidepressants, Lithium, Theophylline – maintained at certain concentration within therapeutic range  Drugs with short half-life (2-3 Hrs) –administered at conventional intervals (6-12 Hrs) – fluctuations are therapeutically acceptable  Long acting drugs:  Loading dose: Single dose or repeated dose in quick succession – to attain target conc. Quickly Loading dose = target Cp X V/F  Maintenance dose: dose to be repeated at specific intervals Maintanace dose = ssPC X Clearance/F 9/27/2017 17 Eliminationkinetics
  • 18. THERAPEUTIC DRUG MONITORING(TDM)  Useful in  Narrow safety margin drugs – digoxin, anticonvulsants, antiarrhythmics and aminoglycosides  Large individual variation – lithium and antidepressants  Renal failure cases  Poisoning cases  Not useful in  Response measurable drugs – antihypertensives  Drugs activated in body – levodopa  Hit and run drugs – Reseprpine, MAO inhibitors  Irreversible action drugs – Organophosphorous compounds 9/27/2017 18 Eliminationkinetics

Notas do Editor

  1. Faeces: Liver actively transport drugs and its metabolites into bile (Glucoronides). OATP – orgnic acids and OCT – organic bases. Other lipophillic drugs – by P-gp. Most lucoronides are deconjugated by bacteria and reabsorbed in intestine – enterohepatic circulation. Drugs – erythromycin, rifmpicin and tetracycline etc. Ultimate excretion occurs in urine Milk – not importnt for mother but for fetus. Basic drugs can pass to milk as it has slightly lower pH Drugs – Saliva – Lithium, KI, heavy metals and rifampicin
  2. Although Cpss cn be calculated, its real value actually varies with individuls – deviation from averge ptients