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    Pharmacokinetics workshop

    MohammedEl-SakkarMSc (Pediatrics), MD, PhD (Pharmacology)

    Allergy & Immunology consultantProfessor of Pharmacology

    University of Alexandria

    2013

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    If a patient taking 0.25 mg tablet of digoxin daily, requires IV

    administration of the drug.

    What would an equivalent dose be? When F for tablet is 0.62.

    F for I.V. doses is 1

    F for tablet is 0.62

    Amount reach to circulation intact = 0.25 X 0.62 = 0.155 mg

    I.V. dose = 0.155 mg

    Amount reach to systemic circulation intact = Dose (extravascular) X F

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    What is the equivalent dosage of oral theophylline for a patient

    receiving IV aminophylline at a rate of 80 mg/hr?

    N.B theophylline is completely absorbed on oral administrationand 80% of aminophylline weight is theophylline.

    I.V. aminophylline dose per day= 80 x 24 = 1920 mg/day

    TheophyllineAminophylline

    80100

    ?1920

    Oral theophylline dose = 1920x 80 = 1536 mg/day

    100

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    A normal volunteer will receive a new drug in a phase I clinical

    trial. The clearance and volume of distribution of the drug in

    this subject are 1.386 L/h and 80 L, respectively. The half life

    of the drug in this subject will be approximately

    t =Cl

    0.693 X Vd

    t

    = 1.386 L/h

    0.693 X 80 L

    = 40 h

    Cl = 1.386 L/h Vd = 80 L

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    Estimate the oral loading dose of digoxin for a 70 kg man, which

    would be necessary to attain a plasma level of 1.5 g/L

    (microgram/L)? Vd of digoxin is reduced to 420 L, F for tablet is0.62

    Loading dose=X Desired initial plasma concentration (amount/vol)Vd

    Bioavailability (F)

    420 (L) X 1.5 g/L

    0.62= 1016 g

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    What is the apparent clearance of lidocaine in a patient who is

    receiving an IV infusion of 2 mg/min and has a steady state

    plasma level of 3 mg/L? (Given is: Vd = 7.3 L/Kg and F = 0.7)

    Maintenance dosing rate =

    (amount/time)

    X Cl (vol/time)Desired Plasma drug concentration ss

    (Cpss)

    Bioavailability (F)

    = 40 L/h

    Clearance (Cl) =Maintenance dosing rate x F

    Cpss

    120 mg/h

    3 mg/L=

    Clearance (Cl) =120 mg/h x 1

    3 mg/L

    120 mg/h

    3 mg/L=

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    Alia is a 70 year-old 68 kg with CHF and chronic renal failure

    (Clcr25ml/min). It is decided that a loading dose of digoxin is to

    be administered orally. What must you consider in calculating

    the estimated loading dose? The desired Cp is 1.5 microgram/L,Vd of digoxin is reduced to 4.7L/kg, F for tablet is 0.62

    Loading dose=X Desired initial plasma concentration (amount/vol)Vd

    Bioavailability (F)

    4.7 L x 68 kg X 1.5 g/L

    0.62 = 773g

    Corrected dose = Average dosePatients creatinine clearance

    100 mL/minX

    Corrected dose in RF = 773 gX

    25

    100 = 193.25 g

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    What will be an appropriate maintenance infusion rate of

    aminophylline to keep the plasma level at 15 mcg/ml? The

    clearance of theophylline in arithmetic adults is 4.73L/hr

    Maintenance dosing rate =

    (amount/time)

    X Cl(vol/time)Cpss

    Bioavailability (F)

    15 mg/L X 4.73L/hr

    1 = 70.95 mg/h theophylline

    Aminophylline maintemance dose = 70.95 x 100/80 = 88.6 mg/h

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    Loading dose =Vd x Target concentration

    Bioavailability (F)

    A 70 kg patient states she ingested approximately 30 tablets of

    phenobarbitone each contain 100mg. Vd listed is 0.75 L/kg. Peak

    blood concentration measured by the lab is 60 mg/L, F=1. How

    can you verify the history?

    0.75 x 70x 60

    1= 3150 mg=

    = 3000 mg

    The history is correct

    She say 30x 100 =

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    Loading dose =Vd x Target concentration

    Bioavailability (F)

    A 70 kg patient states she ingested approximately 30 tablets of

    phenobarbitone each contain 100mg. Vd listed is 0.75 L/kg. Peak

    blood concentration measured by the lab is 60 mg/L, F=1. How

    can you verify the history?

    Target concentration =LD x F

    Vd

    3000 x 1

    0.75 x 70= 57 mg/L=

    The history is correct

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    A 70 kg patient ingested an unknown number of lithium cap (300

    mg = 8 mEq) and has a peak concentration of 5 mEq/L . The

    patient is now agitated. What is the number of capsules

    ingested? Its Vd is 0.7L/kg, F=1.

    Loading dose =Vd x Target concentration

    Bioavailability (F)

    (0.7 x 70) x 5 mEq/L = 245 mEq

    Number of capsules ingested = 245 mEq8 mEq

    = 30 cap of 300 mg

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    Despite your careful adherence to basic pharmacokinetic

    principles, your patient on digoxin therapy has developed

    digitalis toxicity. The plasma digoxin level is 4 ng/mL. Renal

    function is normal, and the plasma t for digoxin in thispatient is 1.6 days. How long should you withhold digoxin in

    order to reach a safer yet probably therapeutic level of 1

    ng/mL?

    Since the blood level for a drug with first-order kinetics drops by 50%

    during each half-life, the level will be 2 ng/mL after 1.6 days and 1 ng/mL

    after 3.2 days.

    0 2 64 8 2 64 8 100

    25

    75

    50

    100

    %

    ofmaximum

    Time (number of half-lives)

    Start

    infusion

    Stop

    infusion

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    A new drug was studied in 20 healthy volunteers to determine basic

    pharmacokinetic parameters. A dose of 100 mg was administered as an

    intravenous bolus to each volunteer and blood samples were analyzed at

    intervals as shown in the graph below. The average plasma concentrations

    at each time are shown by the solid circles at 10 and 30 minutes and at 1,

    2, 3, 4, 6, and 8 hours after administration.

    Determine :

    Elimination half life

    Vd

    Clearance

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    The elimination phase of the graph of plasma concentration follows a

    straight line on the semi logarithmic graph, so we can conclude that the

    new drug follows first-order kinetics, the first requirement for determining

    the half-life.The straight-line portion of the graph shows a decline of 50% from the 2-

    hour point (4 mglL) to the 8-hour sample (2 mglL).

    Half-life = 8 hs minus 2 hours = 6 hours.

    Loading doseVd =

    X Bioavailability (F)

    Target concentration (Cp0)

    100 mg x 1

    5 mg/L= 20 L

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    t =Cl

    0.693 X Vd

    tCl = 0.693 X Vd

    6 hCl =

    0.693 X 20L= 2.3 L/h

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