3. Presententation Contents:
Relationship between
AUC,Clearance,Elimination Constant and
volume of distribution. Worked examples on
questions involving the mentioned parameters
Creatinine clearance and its maintainance in
men and women.
Why creatinine is considered as suitable marker
for representing the kidney functioning??
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4. AT THE END OF THIS PRESENTATION….
1
• We should understand the mathematical relationships
between drug concentration in the plasma and time
2
• Concepts of clearance and volume of distribution, which
together determine the half‐life of a drug.
3
• We should be able to link between Renal clearance
(measured by creatinine) and drug clearance.
4
• With knowledge of clearance and distribution, we should be able to
propose or give an account on drug in relation to desirable therapeutics and
minimal toxicity.
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9. PHARMACOKINETICS AND PLASMA
CONCENTRATION OF DRUG (Cp)
• Pharmacokinetics is
based on the study of
the variation of plasma
concentration of drugs .
• This is because the
concentration is easily
accessible parameter as
far as drug ADME is
concerned.
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10. CONT…
• This takes us to variables that relates drug
dosage and plasma as a part of central
compartment in single compartment model. This
variables are called PHARMACOKINETICS
PARAMETERS.
• Pharmacokinetics parameters these are variables
that are employed to study the variation of
plasma concentrations of drug and hence to be
able to formulate a desirable and effective
therapeutic dosage with minimal toxicity .
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11. PHARMACOKINETICS PARAMETERS
CONT…
• These parameters include the following:
Clearance of the drug
Volume of distribution
Area under the curve (AUC) of conc.-time curve of
drug elimination phase
Half life, Elimination and absorbtion constant
Bioavailability and bioequivalance
Steady state concentration.
Dosing rate /infusion rate
Loading dose and Maintenance dose
etc
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12. 1. CLEARENCE.
• Clearance is the fraction of a theoretical volume completely
purified (i.e.no longer containing any of the drug
concerned) per unit of time.
• Plasma clearance is the apparent volume of plasma
purified per unit of time.
• Total clearance (CLT) is the fraction of the volume of
distribution, Vd which is completely purified per unit of
time. The total clearance depends on the constant of
elimination and thus on T ½ and on Vd.
• Clearance is a constant in linear kinetics. Non linear ones
also present.
• NOTE: THIS IS THE MOST IMPORTANT PARAMETER AMONG
ALL. WHY????
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13. CONT…
• Clearance of the drug in a body can be of
individual organ.
– major-liver ( hepatic clearance, CLH)
->kidney ( renal clearance, Clr)
– Minor-> skin, lung ( often represented as Clother)
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14. CONT…
• The total clearance of the body is then a
summation of individual organ clearance often
of the major organs
• ie; CLT= CLH+CLR+CLOTHER--------EQ 1
NOTE: individual organ clearance (Clorgan)is
obtained as product of extraction ratio (ER or
E) of the organ and the blood volume flow
rate (Q) to that organ
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15. CONT…
• ie;
• CLorgn=( ER).Q
Also ER/E of the organ is obtained as:
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16. unitless(ratio)
• ie;
• CLorgn=( ER).Q mL/hr
Also ER/E of the organ is obtained as:
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17. unitless(ratio)
• ie;
• CLorgn=( ER).Q mL/hr
Also ER/E of the organ is obtained as:
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22. RENAL CLEARANCE
• It is experimentarily performed by
determining the concentration of creatinine in
urine or blood serum.
• Creatinine is end product of creatine
metabolism in muscle cell.
• It therefore differ from female and male due
to fact that muscle tissue size in male is overall
comparably larger than that of female.
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24. Cont…
• Normal creatinine level in male blood serum is
ranging from 0.7-1.3mg/dL
• Normal creatinine level in female blood serum is
ranging from 0.6-1.1mg/dL
• Abnornmal level of creatinine in blood serum
significantly is used to account for kidney
function inturn to link with associated conditions
like hypertension and diabetes.
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25. Qn; why creatinine and not
glucose……???
• Creatinine has become usefully in
determination of renal functioning as it is
suitable endogenous compound which:
• Has constant/ stable conceentration in plasma.
• Its biochemically inert to the rest of biochemical
reaction cascades.( not metabolized)
• It is not re-absorbed.
• its freely filtered
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26. Question to ask our ourselves!
Why do we involve renal
clearance employing
creatinine as far as drug
clearance is concerned?
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27. Ans….
1. drug clearance follows the same way in which
creatinine is cleared from the plasma. For
heathy human, its expected that creatinine is
continously excreted to keep it’s amount in
plasma at normal level. Similary drugs are
exogenous compounds that are to be efficiently
cleared from the plasma after their therapeutic
activity. Excessive accumulation of drug in the
body implies organ impairment. Hence leads to
increase in drug toxicity.
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28. Ans…..
2. Following drug elimination characteristics,
drugs are also employed as suitable
exogeneous markers to determine renal
functionig just as it is used for creatinine.
REMEMBER: The measurement can be done
using blood (serum) sample
spectrophotometery or urine by employing
suitable lab. technique.
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29. 2. VOLUME OF DISTRIBUTION
• The volume of distribution (Vd) is the fictitious volume,
expressed in liter or in liter per kilogram, in which the drug
would have been distributed by supposing that its
concentration is homogeneous, i.e. the average tissue
concentration is identical to that of the plasma.
• It is expressed as Vd =dose/C0 (initial concentration).
• For example, after intravenous injection of 100 mg of a
drug whose initial concentration, C0, in plasma is 10 mg/L,
• the volume of distribution is of 10 L . For a given drug, the
knowledge of its desirable concentration in blood and of its
volume of distribution allows evaluation of the dose to
administer
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30. Cont…
• Vd Value < 0.071 L/kg (4.97L/ 70Kg) indicate the
drug is mainly in the circulatory system. Values >
0.071 L/kg indicate the drug has gotten into
specific tissues.
• Plasma binding proteins to drug decreases Vd
while increases plasma drug concentration. The
vise versa is true for tissue (out of these of blood)
which tend to bind the drug.
• Volume of distribution can vastly exceed any
physical volume in the body…..WHY???
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31. Cont…
• because it is the volume apparently necessary
to contain the amount of drug homogeneously
at the concentration found in the blood,
plasma, or water.
• To verify this concept, let us typically
examplify it. Consider the table below…
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35. This is because……………
• Drug can distributes itself in several body
compartments (physical volumes) including in one or
more than either of blood,plasma,extracellural water ,
fats, muscle or bones.
• The distribution/partion extent of the drug to either of
the mentioned components of body’s physical
volumes depends greatly on the physicochemical
properties of the drug. Refer the “ Physico-chemical
grouping of drugs”.
• TAKE HOME MESSAGE “The higher the Vd of the drug,
the easier the organ clearance of the drug
is”………WHY??
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36. 3.HALF LIFE
• The plasma half-life of a drug (T ½) is the time necessary to
halve the plasma concentration, for example to decrease
from 100 to 50 mg/L.
• The knowledge of the half-life is useful for the
determination of the frequency of administration of a drug
(the number of intakes per day) for obtaining the desired
plasma concentration.
• Generally, the half-life of a particular drug is independent
of the dose administered.
• In certain exceptional cases, it varies with the dose: it can
increase or decrease according to, for example, the
saturation of a mechanism (elimination, catabolism,
binding to plasma proteins etc).
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37. • Elimination normally can follow zero order or
first order kinetics. Some others follow
complex kinetics
• Under both cases,elimination constant (kel)
and half life (t1/2) are important parameters
that are to be dealt with as far as desirable
therapeutic effect (dosage) and toxicity are
concerned.
• However both zero and first kinetics differs.
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38. Comparison: zero and 1st order kinetics
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39. Comparison: zero and 1st order kinetics
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40. 4. AREA UNDER THE CURVE.
• The area under curve, AUC, corresponds to the
integral of the plasma concentration versus an
interval of definite time.
• AUC = ƒ ([C] x Dt)
[C]: is measured concentration and
Dt: interval of time between two
measurements.
The precision of the AUC grows with the number of
measurements of concentration taken.
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41. AUC CONT…
• The measurement of
the bioavailability of a
drug employs this
concept.
• The larger the area the
large the bioavailability
of the drug basing on
administration routes.
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42. HOW TO FIND AUC.
1. By integral method
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43. 2. The AUC can be deduced from
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45. To find Co of the drug in plasma
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46. What does the AUC implies??
• AUC- ( Area under the plasma drug concentration
against time under drug elimination phase curve )
implies the measured concentration of drug in
systemic circulation as the function of time from
zero to infinite.
• The area under the blood concentration-time
curve (AUC) is a common measure of the extent
of bioavailability for a drug given by a particular
route .
• AUC is direct proportion to F.
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47. APPLICATION OF AUC.
1.Calculation of systematic clearance of drug in
the central compartment.
CL= DOSE/ AUC
Remember; unit for dose weight->mg
unit for AUC->mg.hr/ml
Thus clearance unit-> ml/hr,
generally volume per time unit!
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48. 2. Calculation of clearance by the organ
Clorgan= (dose . F)/ AUC
3. Bioavailability to the organ
F=(AUC)organ/ (AUC)iv
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49. OTHER RELATIONS INVOLVING CL.
1. CL= Dosage rate/ Css
2. CL=Rate of elimination/COP
3. CL= Vd .Kel
4. CL= O.693Css/ t ½ . For first order.
5. CL=(0.693Vd)/ t1/2
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50. OTHER RELATIONS INVOLVING CL.
1. CL= Dosage rate/ Css
2. CL=Rate of elimination/COP
3. CL= Vd .Kel -----NOTE : t1/2=0.693/kel
4. CL= O.693Css/ t ½ . For first order.
5. CL=(0.693Vd)/ t1/2
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51. OTHER RELATIONS INVOLVING CL.
1. CL= Dosage rate/ Css
2. CL=Rate of elimination/COP
3. CL= Vd .Kel -----NOTE : t1/2=0.693/kel
4. CL= O.693Css/ t ½ . For first order.
5. CL=(0.693Vd)/ t1/2
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