Pharmacokinetics Case Study: Drug Dosage, Half-Life, and Clearance Calculations, Assignments of Health sciences

Solutions to various pharmacokinetics problems, including calculating iv bolus doses, drug half-lives, and clearances. It covers topics such as one-compartment models, linear and non-linear drug behavior, and renal clearance.

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Pre 2010

Uploaded on 03/11/2009

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PHA 5127
Answers Case Study 5
Fall 2007
Set I:
True or False
T F 1: A one compartment model means that drug in the blood is in rapid equilibration
with drug in extravascular tissues. (T)
T F 2: For a linear model, the rate constant for elimination is not proportional to the
amount of drug remaining to be eliminated. (T)
T F 3: Clearance and volume of distribution are independent each other, but both of
them are dependent of dose. (F)
T F 4: A drug with a linear protein binding has linear pharmacokinetics. (F)
can have nonlinear elimination
T F 5: In a linear one-compartmental model, lower dose and lower volume of
distribution result in a lower initial drug concentration after a single IV bolus. (F)
C(0)=Dose/Vd
T F 6: In a linear one-compartmental model, any two concentration points in
concentration-time profile can determine drug half-life after a single IV bolus. (T)
()
=
2
1
12
2/1
ln
693.0
C
C
tt
t
T F 7: Total clearance is always greater or equal to renal clearance. (T)
CLtot = CLren + CLbil + CLmet
pf3
pf4

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PHA 5127

Answers Case Study 5

Fall 2007

Set I:

True or False

T F 1: A one compartment model means that drug in the blood is in rapid equilibration

with drug in extravascular tissues. (T)

T F 2: For a linear model, the rate constant for elimination is not proportional to the

amount of drug remaining to be eliminated. (T)

T F 3: Clearance and volume of distribution are independent each other, but both of

them are dependent of dose. (F)

T F 4: A drug with a linear protein binding has linear pharmacokinetics. (F)

can have nonlinear elimination

T F 5: In a linear one-compartmental model, lower dose and lower volume of

distribution result in a lower initial drug concentration after a single IV bolus. (F)

C(0)=Dose/Vd

T F 6: In a linear one-compartmental model, any two concentration points in

concentration-time profile can determine drug half-life after a single IV bolus. (T)

2

1

2 1 1 / 2

ln

C

C

t t t

T F 7: Total clearance is always greater or equal to renal clearance. (T)

CLtot = CLren + CLbil + CLmet

Set II:

Jane, 5’8”, 35-year-old, is being treated with the new drug for an infection disease. Jane weights

64.4 kg. Cpcreat in Jane is 0.8 mg/dL Assume a Vd of 0.24 L/kg*(TBW), and clearance of this

drug is equal to creatinine clearance, and this drug follows a linear one compartment model.

  1. In order to achieve initial concentration 6 mg/L, please calculate this IV bolus dose.

Vd = 0.24 L/kg

x kg L kg

L

V (^) d 64. 4 15. 5

Initial Cp = 6 mg/L

To determine the correct dose, we may use: V d

Dose

Cp 0 = Æ D = Cp 0 ⋅ Vd

D = (6mg/L)(15.5 L) = 93 mg

  1. Calculate half-life of this drug, and how many half-lives will it take to drop concentration

from 6 mg/L to 750 μg/mL

IBW= 45.5 kg + 2.3 kg for each inch over 5 ft in height

=45.5+2.3*8=63.9 (kg) Æ TBW<1.2 IBW

ml L hr Cp

age weight CL female creat

creat^99.^44 /min^5.^97 / 85 0. 8

1

  1. 97 / 15. 5 0. 385

− = = = hr Vd

Cl k e

hr k

t e

6 mg/L Æ 3mg/L Æ 1.5mg/L Æ 0.75mg/L=750 μg/mL (3 half-lives)

OR:

Assume 6mg/L is initial concentration:

0.75mg/L=6mg/LEXP(-0.385t) Æ t=5.4 hr Æ 5.4/1.8=3 half-lives

SET IV:

The renal clearances, the fractions of unbound in plasma and the molecular weights of four drugs

in a 75 kg subject are as follows:

CLrenal (mL/min) fu MW

A 20 0.5 500

B 0.10 0.5 200

C 20 0.1 800

D 50 0.9 100

Which of following statement is true? (GFR is 130 mL/min and urine flow is 1.5mL/min.)

A: Drug A has renal secretion.

B: Drug B has renal secretion.

C: Drug C has renal secretion.

D: Drug D has renal secretion.

E: None of above

Answer: C

Filtration Secretion Reabsorption

A (^) √

MW<

B √

MW<

C √

MW<

D √

MW<