PRESENTED BY: 
G.V.GOWTHAMI 
256213886010 
UNDER THE GUIDENCE: 
Dr.SATYABRATA BHANJA 
M.Pharm,Ph.D
NON-LINEAR PHARMACOKINETICS 
 It is a Dose Dependent Pharmacokinetics. 
 Nonlinear pharmacokinetic models imply that some 
aspect of the pharmacokinetic behaviour of the drug is 
saturable.
CAUSES OF NON-LINEARITY 
 Saturation of enzymes in process of drug 
ADME 
 Pathologic alteration in drug ADME
EXAMPLES 
 Amino glycoside may cause renal nephrotoxicity, 
thereby altering renal drug excretion 
 Obstruction of the bile duct to the formation of 
gallstone will alter biliary drug excretion
PROCESS SATURATED 
 Absorption 
 Distribution 
Metabolism 
 Excretion
PROCESS USUALLY SATURATED 
Metabolism 
Active tubular secretion
GI absorption 
CAUSE DRUG 
Saturable gastric or GI 
Decomposition 
Penicillin G, Saquinavir 
Saturable transport in gut wall Riboflavin, Gebapentin, L-dopa, 
baclofen 
Intestinal Metabolism Salicilamide, Propranolol 
Low Solubility but high dose Chlorotiazide, griseofulvin, danazol.
Distribution 
CAUSE DRUG 
Saturable transport into/ out of 
tissues 
MTX 
Saturable plasma protein binding Phenylbutazone, lidocaine, salicylic 
acid 
Cellular uptake Methicillin 
Tissue binding IMI 
CSF transport Benzylpenicillins
Metabolism 
Cause Drug 
Saturable metabolism Phenytoin, salicylic acid, 
theophyllin, valproic acid 
Enzymes induction Carbamazepine 
Enzymes limitations PCT, alcohol 
Altered hepatic blood flow Propranolol, verapamil 
Metabolite inhibition Diazepam
Renal Excretion 
Cause Drug 
Active secretion Mezlocillin, p-aminohippuric acid 
Tubular reabsorption Riboflavin, ascorbic acid, 
cephapirin 
Change in urine pH Salicylic acid, dextroamphetamine
Biliary Excretion 
Cause Drug 
Biliary secretion Iodipamide, sulfobromophthalein 
sodium 
Enterohepatic recycling Cimetidine, isotretinoin
MICHAELIS MENTEN EQUATION 
 Nonlinear pharmacokinetics can be best described by Michaelis 
Menten Equation. 
-dc/dt=Vmax.c/Km+c 
 Where: 
 dC/dt : rate of decline in drug conc. with time 
 Vmax : theoretical maximum rate of process 
 Km: Michaelis constant
• When Km = C 
• -dc/dt=Vmax/2 
• When Km>>C 
• -dc/dt=Vmax.c/Km 
• When Km<<C 
• -dc/dt=Vmax
Non linear pharmacokinetics
Estimation of Km and Vmax 
Integration of Michaelis Menten Equation 
log C = log Co + (Co –C)–Vmax 
2.303Km 2.303Km 
Semilog plot of C vs t yields a curve with terminal linear portion, 
which on back extrapolation to time zero give y intercept log Co. 
log C = log Co –Vmax 
2.303Km
Non linear pharmacokinetics
Km and Vmax....……....contd. 
At low plasma concentration: 
(Co –C)/2.303 Km = log Co/Co 
So Km can be obtained from this equation while Vmax can be 
obtained from slope by putting value of Km.
Estimation of Km and Vmax (steady state) 
In case of I.V. infusion a steady state concentration is maintained by a suitable 
dosing rate (DR). 
This DR at steady state equals rate of elimination. 
So Michaelis Menten equation can be written: DR = Vmax . Css 
Km + Css
LINEWEAVER-BURKE PLOT/KLOTZ PLOT: 
 Taking reciprocal of equation: 
 DR=Vmax .Css/Km+Css 
1/DR = Km/Vmax.Css + 1/Vmax 
A plot of 1/DR Vs 1/Vmax yields a straight line with slope 
Km/Vmax and y-intercept 1/Vmax 
1/DR slope=Km/Vmax 
1/Vmax 
1/Css
DIRECT LINEAR PLOT 
 A pair of Css,1 and Css,2 
obtained with 2 different 
dosing rates DR1 and 
DR2 is plotted. 
 The points Css,1 and DR1 
are joined to form a line 
and a second line is 
obtained similarly by 
joining Css,2 and DR2. 
DR 
Vmax 
DR1 
DR2 
Css,1 Css,2 Km 
Css 0 Km
THIRD GRAPHICAL METHOD 
 Estimating Km and Vmax involves rearranging the 
following eq. 
 DR=Vmax .Css/Km+Css 
 Gives DR=Vmax-Km.DR/Css 
 Km and Vmax can also be calculated numerically by 
using following equations 
 DR1=Vmax.Css,1/Km+Css,1 & 
DR2=Vmax.Css,2/Km+Css,2 
 By combining above equations 
 Km=DR2-DR1 
DR1/Css,1-DR2/Css,2
Non linear pharmacokinetics
Non linear pharmacokinetics
Non linear pharmacokinetics
Km and Vmax (Steady state)....contd 
Graphical Method 
Plot between DR and DR/Css yield straight line with slope: –Km, & 
y‐intercept: 
Vmax
CHRONOPHARMACOKINETICS 
• CHRONOPHARMACOKINETICS: 
It involves the study of temporal changes in drug 
absorption, distribution, metabolism & excretion with 
respect to time of administration. 
 CHRONOBIOLOGY: 
 Science that studies the biological rhythms. 
 CHRONOTHERAPEUTICS: 
 Application of chrono biological principles to the 
treatment of diseases.
SCOPE OF CHRONOPHARMACOKINETICS 
STUDIES: 
 Daily variation in pharmacokinetics. 
 Narrow therapeutic range. 
 Circadian phase dependent diseases.
BODY RHYTHMS 
 These are the biological process that show cyclic variation over 
time. 
 TYPES OF BODY RHYTHMS: 
 1. Carcadian rhythms: 
Which lasts for about one day like: 
 Sleep walking rhythm 
 The body temperature
 2.Ultradian rhythms: 
shorter than a day 
Seconds(like heart beat) 
 Infradial rhythms: 
 Longer than a day 
Monthly rhythm-menstrual cycle 
Yearly rhythm-bird migration
Non linear pharmacokinetics
CIRCADIAN DEPENDENCE OF DRUG PHARMACOKINETICS 
 ABSORPTION: 
 Is altered by circadian changes in 
 Gastric emptying time 
 Gastrointestinal blood flow 
 Gastric acid secretion & pH 
 Most liphophilic drugs seems to be absorbed faster when the drug is taken in 
the morning compared with the evening. 
 Eg: absorption of valproic acid larger in the morning than in the evening.
 DISTRIBUTION : Is altered by circadian changes 
in 
 Body size & composition 
 Blood flows in various organs 
 Drug protein binding 
Peak plasma concentration of plasma proteins like 
albumin occurs early in the afternoon, while troughs 
are found during the night. 
Eg: maximum binding of antineoplastic like cisplatin 
to plasma proteins is in afternoon & minimum in the 
morning
 METABOLISM: 
 Is altered by circadian changes in 
 Liver enzyme activity 
 Hepatic blood flow 
For drugs with low extraction ratio depends on liver 
enzyme activity. 
For drugs with high extraction ratio depends on 
hepatic blood flow.
• EXCRETION: 
• Is altered by circadian changes in 
• Glomerular filtration 
 Renal blood flow 
 Urinary pH 
 Tubular reabsorption 
• All lower during the resting period than in activity period. 
 Eg: Acidic drugs like sodium salicylate excreted quickly after evening 
than morning administration.
FACTORS EFFECTING CIRCADIAN RHYTHMS 
• Food 
 Meal timing 
 Gastro-intestinal motility 
 Digestive Secretions 
 Intestinal blood flow 
 Light 
 The timing of exposure to light 
 The length of exposure 
 Intensity & wavelength of light
DRUGS THAT UNDERGO CHRONOKINETICS: 
 Antibiotics - Amino glycosides 
Amikacin 
 General anaesthetics - Benzodiazepines 
Halothane 
 NSAIDS - Indomethacin 
Ketoprofen 
 Anticancer Drugs – 5-Flurouracil 
Cisplatin
Diseases Circadian Rhythms 
Osteoarthritis 
Symptoms worse in middle (or) later 
of the day 
Rheumatoid Arthritis Most intense on awakening 
Peptic Ulcers Symptoms worse in the early 
(sleep) 
Bronchial Asthma Exacerbations more common during 
sleep 
Allergic rhinitis Worse in early a.m/upon arising
Pharmacokinetics and pharmacodynamics in the 
elderly 
 Age related Physiological Alterations 
 Pharmacodynamics 
 Cardiovascular Effects 
 Effects on central nervous system 
 Electrolytes 
 Drug-Drug interactions 
 Drug-disease interactions 
 Drug-food interactions
THANK YOU

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Non linear pharmacokinetics

  • 1. PRESENTED BY: G.V.GOWTHAMI 256213886010 UNDER THE GUIDENCE: Dr.SATYABRATA BHANJA M.Pharm,Ph.D
  • 2. NON-LINEAR PHARMACOKINETICS  It is a Dose Dependent Pharmacokinetics.  Nonlinear pharmacokinetic models imply that some aspect of the pharmacokinetic behaviour of the drug is saturable.
  • 3. CAUSES OF NON-LINEARITY  Saturation of enzymes in process of drug ADME  Pathologic alteration in drug ADME
  • 4. EXAMPLES  Amino glycoside may cause renal nephrotoxicity, thereby altering renal drug excretion  Obstruction of the bile duct to the formation of gallstone will alter biliary drug excretion
  • 5. PROCESS SATURATED  Absorption  Distribution Metabolism  Excretion
  • 6. PROCESS USUALLY SATURATED Metabolism Active tubular secretion
  • 7. GI absorption CAUSE DRUG Saturable gastric or GI Decomposition Penicillin G, Saquinavir Saturable transport in gut wall Riboflavin, Gebapentin, L-dopa, baclofen Intestinal Metabolism Salicilamide, Propranolol Low Solubility but high dose Chlorotiazide, griseofulvin, danazol.
  • 8. Distribution CAUSE DRUG Saturable transport into/ out of tissues MTX Saturable plasma protein binding Phenylbutazone, lidocaine, salicylic acid Cellular uptake Methicillin Tissue binding IMI CSF transport Benzylpenicillins
  • 9. Metabolism Cause Drug Saturable metabolism Phenytoin, salicylic acid, theophyllin, valproic acid Enzymes induction Carbamazepine Enzymes limitations PCT, alcohol Altered hepatic blood flow Propranolol, verapamil Metabolite inhibition Diazepam
  • 10. Renal Excretion Cause Drug Active secretion Mezlocillin, p-aminohippuric acid Tubular reabsorption Riboflavin, ascorbic acid, cephapirin Change in urine pH Salicylic acid, dextroamphetamine
  • 11. Biliary Excretion Cause Drug Biliary secretion Iodipamide, sulfobromophthalein sodium Enterohepatic recycling Cimetidine, isotretinoin
  • 12. MICHAELIS MENTEN EQUATION  Nonlinear pharmacokinetics can be best described by Michaelis Menten Equation. -dc/dt=Vmax.c/Km+c  Where:  dC/dt : rate of decline in drug conc. with time  Vmax : theoretical maximum rate of process  Km: Michaelis constant
  • 13. • When Km = C • -dc/dt=Vmax/2 • When Km>>C • -dc/dt=Vmax.c/Km • When Km<<C • -dc/dt=Vmax
  • 15. Estimation of Km and Vmax Integration of Michaelis Menten Equation log C = log Co + (Co –C)–Vmax 2.303Km 2.303Km Semilog plot of C vs t yields a curve with terminal linear portion, which on back extrapolation to time zero give y intercept log Co. log C = log Co –Vmax 2.303Km
  • 17. Km and Vmax....……....contd. At low plasma concentration: (Co –C)/2.303 Km = log Co/Co So Km can be obtained from this equation while Vmax can be obtained from slope by putting value of Km.
  • 18. Estimation of Km and Vmax (steady state) In case of I.V. infusion a steady state concentration is maintained by a suitable dosing rate (DR). This DR at steady state equals rate of elimination. So Michaelis Menten equation can be written: DR = Vmax . Css Km + Css
  • 19. LINEWEAVER-BURKE PLOT/KLOTZ PLOT:  Taking reciprocal of equation:  DR=Vmax .Css/Km+Css 1/DR = Km/Vmax.Css + 1/Vmax A plot of 1/DR Vs 1/Vmax yields a straight line with slope Km/Vmax and y-intercept 1/Vmax 1/DR slope=Km/Vmax 1/Vmax 1/Css
  • 20. DIRECT LINEAR PLOT  A pair of Css,1 and Css,2 obtained with 2 different dosing rates DR1 and DR2 is plotted.  The points Css,1 and DR1 are joined to form a line and a second line is obtained similarly by joining Css,2 and DR2. DR Vmax DR1 DR2 Css,1 Css,2 Km Css 0 Km
  • 21. THIRD GRAPHICAL METHOD  Estimating Km and Vmax involves rearranging the following eq.  DR=Vmax .Css/Km+Css  Gives DR=Vmax-Km.DR/Css  Km and Vmax can also be calculated numerically by using following equations  DR1=Vmax.Css,1/Km+Css,1 & DR2=Vmax.Css,2/Km+Css,2  By combining above equations  Km=DR2-DR1 DR1/Css,1-DR2/Css,2
  • 25. Km and Vmax (Steady state)....contd Graphical Method Plot between DR and DR/Css yield straight line with slope: –Km, & y‐intercept: Vmax
  • 26. CHRONOPHARMACOKINETICS • CHRONOPHARMACOKINETICS: It involves the study of temporal changes in drug absorption, distribution, metabolism & excretion with respect to time of administration.  CHRONOBIOLOGY:  Science that studies the biological rhythms.  CHRONOTHERAPEUTICS:  Application of chrono biological principles to the treatment of diseases.
  • 27. SCOPE OF CHRONOPHARMACOKINETICS STUDIES:  Daily variation in pharmacokinetics.  Narrow therapeutic range.  Circadian phase dependent diseases.
  • 28. BODY RHYTHMS  These are the biological process that show cyclic variation over time.  TYPES OF BODY RHYTHMS:  1. Carcadian rhythms: Which lasts for about one day like:  Sleep walking rhythm  The body temperature
  • 29.  2.Ultradian rhythms: shorter than a day Seconds(like heart beat)  Infradial rhythms:  Longer than a day Monthly rhythm-menstrual cycle Yearly rhythm-bird migration
  • 31. CIRCADIAN DEPENDENCE OF DRUG PHARMACOKINETICS  ABSORPTION:  Is altered by circadian changes in  Gastric emptying time  Gastrointestinal blood flow  Gastric acid secretion & pH  Most liphophilic drugs seems to be absorbed faster when the drug is taken in the morning compared with the evening.  Eg: absorption of valproic acid larger in the morning than in the evening.
  • 32.  DISTRIBUTION : Is altered by circadian changes in  Body size & composition  Blood flows in various organs  Drug protein binding Peak plasma concentration of plasma proteins like albumin occurs early in the afternoon, while troughs are found during the night. Eg: maximum binding of antineoplastic like cisplatin to plasma proteins is in afternoon & minimum in the morning
  • 33.  METABOLISM:  Is altered by circadian changes in  Liver enzyme activity  Hepatic blood flow For drugs with low extraction ratio depends on liver enzyme activity. For drugs with high extraction ratio depends on hepatic blood flow.
  • 34. • EXCRETION: • Is altered by circadian changes in • Glomerular filtration  Renal blood flow  Urinary pH  Tubular reabsorption • All lower during the resting period than in activity period.  Eg: Acidic drugs like sodium salicylate excreted quickly after evening than morning administration.
  • 35. FACTORS EFFECTING CIRCADIAN RHYTHMS • Food  Meal timing  Gastro-intestinal motility  Digestive Secretions  Intestinal blood flow  Light  The timing of exposure to light  The length of exposure  Intensity & wavelength of light
  • 36. DRUGS THAT UNDERGO CHRONOKINETICS:  Antibiotics - Amino glycosides Amikacin  General anaesthetics - Benzodiazepines Halothane  NSAIDS - Indomethacin Ketoprofen  Anticancer Drugs – 5-Flurouracil Cisplatin
  • 37. Diseases Circadian Rhythms Osteoarthritis Symptoms worse in middle (or) later of the day Rheumatoid Arthritis Most intense on awakening Peptic Ulcers Symptoms worse in the early (sleep) Bronchial Asthma Exacerbations more common during sleep Allergic rhinitis Worse in early a.m/upon arising
  • 38. Pharmacokinetics and pharmacodynamics in the elderly  Age related Physiological Alterations  Pharmacodynamics  Cardiovascular Effects  Effects on central nervous system  Electrolytes  Drug-Drug interactions  Drug-disease interactions  Drug-food interactions