pharmacokinetics july 2011
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Pharmacokinetics
Based on the hypothesis that the action of a
drug requires presence of a certain
concentration in the fluid bathing the targettissue.
In other words, the magnitude of response
(good or bad) depends on concentration ofthe drug at the site of action
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Clinical pharmacokinetics ?
Study of the time course of a drugsmovement through the body.
Understanding of what the body does to (orwith) the drug.
Application of Therapeutic Drug Monitoring(TDM) and individualisation of drug therapy.
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Pharmacokinetics (PK) &
pharmacodynamics (PD)
PK - What the body does to the drug?
Absorption; distribution, metabolism,excretion (ADME)
PD - What the drug does to the body? Drug concentration at the site of action orin the plasma is related to a magnitude ofeffect
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Plasma Site
Concen- of
tration ActionEffects
PK PD
Pharmacokinetics (PK) and
pharmacodynamics (PD)
Dose
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Pharmacokinetics vs
Pharmacodynamicsconcept Fluoxetine increases plasma
concentrations of amitriptyline. This is a
pharmacokineticdrug interaction.
Fluoxetine inhibits the metabolism of
amitriptyline and increases the plasmaconcentrationof amitriptytline.
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Pharmacokinetics vs
Pharmacodynamicsconcept If fluoxetine is given with tramadol, serotonin
syndrome can result. This is a
pharmacodynamic drug interaction.
Fluoxetine and tramadol both increaseavailability of serotonin leading to thepossibility of serotonin overload This
happens without a change in theconcentrationof either drug.
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Study of [drug] over time
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Volume of Distribution
An abstract concept
Gives information on HOW the drug isdistributed in the body
Used to calculate a loading dose
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Volume of Distribution
Apparent volume of distribution is thetheoretical volume that would have to be
available for drug to disperse in if theconcentration everywhere in the body werethe same as that in the plasma or serum,the place where drug concentration
sampling generally occurs.
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The Compartment Model
WE can generally think of the body as a
series of interconnected well-stirred
compartments within which the [drug]remains fairly constant. BUT movement
BETWEEN compartments important in
determining when and for how long a drugwill be present in body.
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Distribution
Rate & Extent depend upon
Chemical structure of drug
Rate of blood flow
Ease of transport through membrane
Binding of drug to proteins in blood
Elimination processes
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Partition Coefficients: ratio of solubility of
a drug in water or in an aqueous buffer to its
solubility in a lipophilic, non-polar solvent
pH and ionization: Ion Trapping
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Drug Concentrations May Be
Useful When There Is: An established relationship between
concentration and response or toxicity
A sensitive and specific assay An assay that is relatively easy to perfor A narrow therapeutic range
A need to enhance response/preventtoxicity
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Partitioning into body fat and
other tissues A large, nonpolar compartment. Fat has
low blood supplyless than 2% of cardiac output,
so drugs are delivered to fat relatively slowlyFor practical purposes: partition into body fat
important following acute dosing only for a few
highly lipid-soluble drugs and environmental
contaminants which are poorly metabolized andremain in body for long period of time
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IMPORTANT EFFECTS OF PH
PARTITIONING: urinary acidification will accelerate the
excretion of weak bases and retard that of weak
acids; alkalination has the opposite effects increasing plasma pH (by addition of
NaHCO3) will cause weakly acidic drugs to be
extracted from the CNS into the plasma; reducing
plasma pH (by administering a carbonic anhydraseinhibitor) will cause weakly acidic drugs to be
concentrated in the CNS, increasing their toxicity
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Renal Elimination
Glomerular filtration: molecules below 20 kDapass into filtrate. Drug must be free, not proteinbound.
Tubular secretion/reabsorption: Active transport.Followed by passive & active. DP=D + P. As Dtransported, shift in equilibrium to release morefree D. Drugs with high lipid solubility arereabsorbed passively & therefore slowly excreted.Idea of ion trapping can be used to increaseexcretion rate---traps drug in filtrate.
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Plasma Proteins that Bind Drugs
albumin: binds many acidic drugs and a
few basic drugs
b-globulin and an a1acid glycoproteinhave also been found to bind certain basic
drugs
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A bound drug has no effect!
Amount bound depends on:
1) free drug concentration
2) the protein concentration
3) affinity for binding sites
% bound: __[bound drug]__________ x 100
[bound drug] + [free drug]
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% Bound
Renal failure, inflammation, fasting,
malnutrition can have effect on plasma
protein binding. Competition from other drugs can also
affect % bound.
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An Example
warfarin (anticoagulant) protein bound ~98%
Therefore, for a 5 mg dose, only 0.1 mg of drug is
free in the body to work! If pt takes normal dose of aspirin at same time
(normally occupies 50% of binding sites), the
aspirin displaces warfarin so that 96% of the
warfarin dose is protein-bound; thus, 0.2 mg
warfarin free; thus, doubles the injested dose
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Volume of Distribution
C = D/Vd Vd is the apparent volume of distribution
C= Conc of drug in plasma at some time
D= Total conc of drug in system\
Vd gives one as estimate of how well the drug is
distributed. Value < 0.071 L/kg indicate the drugis mainly in the circulatory system. Values >0.071 L/kg indicate the drug has gotten intospecific tissues.
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V
Volume 100 L
Clearance
10 L/hr
Volume of Distribution, Clearance and
Elimination Rate Constant
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V
Volume 100 L (Vi)
Clearance10 L/hr
V2
Cardiac and
Skeletal Muscle
Clearance =
Volume of blood cleared of drug per unit time
Volume of Distribution =
Dose_______Plasma Concentration
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VVolume 100 L (Vi)
Clearance10 L/hr
V2
Cardiac andSkeletal Muscle
Clearance = 10 L/hrVolume of Distribution = 100 LWhat is the Elimination Rate Constant (k) ?
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CL = kV
k = 10 Lhr -1 = 0.1 hr -1
100 L
10 % of the Volume is cleared (of drug) per hour
k = Fraction of drug in the body removed per hour
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CL = kVIf V increases then k must decrease as
CL is constant
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Loading Dose
Dose = Cp(Target) x VD
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Important Concepts
VD is a theoretical Volume anddetermines the loading dose
Clearance is a constant and determinesthe maintenance dose
CL = kVD
CL and VD are independent variables
k is a dependent variable
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Question
What is the loading dose required fordrug A if;
Target concentration is 10 mg/L
VD is 0.75 L/kg
Patients weight is 75 kg
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Answer: Loading Dose of Drug A
Dose = Target Concentration x VD
VD = 0.75 L/kg x 75 kg = 56.25 L Target Conc. = 10 mg/L
Dose = 10 mg/L x 56.25 L
= 565 mg This would probably be rounded to 560 or
even 500 mg.
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How are [drug] measured?
Invasive: blood, spinal fluid, biopsy
Noninvasive: urine, feces, breath, saliva
Most analytical methods designed for
plasma analysis
C-14, H-3
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Clearance Ability of organs of elimination (e.g.
kidney, liver to clear drug from the
bloodstream Volume of fluid which is completely
cleared of drug per unit time
Units are in L/hr or L/hr/kg
Pharmacokinetic term used indetermination of maintenance doses
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Maintenance Dose
Calculation
Maintenance Dose = CL x CpSSav
CpSSav is the target average steady statedrug concentration
The units of CL are in L/hr or L/hr/kg
Maintenance dose will be in mg/hr so for totaldaily dose will need multiplying by 24
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Question
What maintenance dose is required fordrug A if;
Target average SS concentration is 10mg/L
CL of drug A is 0.015 L/kg/hr
Patient weighs 75 kg
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Answer
Maintenance Dose = CL x CpSSav
CL = 0.015 L/hr/kg x 75 = 1.125 L/hr
Dose = 1.125 L/hr x 10 mg/L= 11.25 mg/hr
So will need 11.25 x 24 mg per day= 270 mg
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Half-Life and k
Half-life is the time taken for the drugconcentration to fall to half its original
value The elimination rate constant (k) is the
fraction of drug in the body which is
removed per unit time.
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Drug Concentration
Time
C1
Exponential decay
dC/dt C
= -k.CC2
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Log Concn.
Time
C0
C0/2t1/2
t1/2
t1/2
Time to eliminate ~ 4 t1/2
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Steady-State
Steady-state occurs after a drug has been givenfor approximately five elimination half-lives.
At steady-state the rate of drug administrationequals the rate of elimination and plasmaconcentration - time curves found after eachdose should be approximately superimposable.
Accumulation to Steady State
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100
187.5194
175
150
75
87.5 9497
50
200
100
Accumulation to Steady State
100 mg given every half-life
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C
t
Cpa
Four half lives to reach steady state
Wh i S d S (SS) ?
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What is Steady State (SS) ?Why is it important ?
Rate in = Rate Out
Reached in 4 5 half-lives (linearkinetics)
Important when interpreting drugconcentrations in TDM or assessingclinical response
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Therapeutic Window
Useful range of concentration over which a drug istherapeutically beneficial. Therapeutic windowmay vary from patient to patient
Drugs w/ narrow therapeutic windows requiresmaller & more frequent doses or a differentmethod of administration
Drugs w/ slow elimination rates may rapidlyaccumulate to toxic levels.can choose to giveone large initial dose, following only with smalldoses
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Shape different for IV injection
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Conc. Vs. time plots
C = Co - kt ln C = ln Co - kt
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Clearance
Volume of blood in a defined region of the
body that is cleared of a drug in a unit time.
Clearance is a more useful concept in realitythan t 1/2 or kel since it takes into account
blood flow rate
Clearance varies with body weight Also varies with degree of protein binding
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AUC: IV Administration
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AUC
For IV bolus, the AUC represents the total
amount of drug that reaches the circulatory
system in a given time. Dose = CLT AUC
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AUC: Oral Administration
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Bioavailability
The fraction of the dose of a drug (F) that
enters the general circulatory system,
F= amt. Of drug that enters systemic circul.
Dose administered
F = AUC/Dose
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Bioavailability
A concept for oral administration
Useful to compare two different drugs or differentdosage forms of same drug
Rate of absorption depends, in part, on rate ofdissolution (which in turn is dependent on
chemical structure, pH, partition coefficient,surface area of absorbing region, etc.) Also first-pass metabolism is a determining factor