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
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
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
14.
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
16.
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
22.
23.
24.
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
30.
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
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