Hepatic Clearance Calculations


A. The fraction unbound (fu) of Drug X was found to be 0.79. The intrinsic hepatic clearance in humans was estimated at 259.9 mL/min. Typical hepatic blood flow in adults is 1.5 L/min. Based on the well-stirred model, calculate the extraction ratio and hepatic clearance.

Extraction ratio = 0.1204 No units
Hepatic Clearance = 180.6 ml/min

B. RJ is a patient with epilepsy. She has been taking Drug X, 2000 mg by mouth BID, to manage her seizures for several years. Assume that Drug X is only cleared by the liver. Calculate the steady-state total concentration (Css) and steady-state unbound concentration (Css,u). Use the simplified hepatic clearance equations for drugs with high (>0.7) or low extraction ratios (<0.3).

Concentration Steady State = 0.01353 mg/mL
Unbound Concentration Steady State = 0.01069 mg/mL

C. Recently, RJ was prescribed an antibiotic for a bacterial infection for 21 days. This antibiotic is known to decrease the protein binding of Drug X by 15%. Calculate the new Css and Css,u.

Fraction Unbound = 0.9085

Concentration Steady State = 0.01176 mg/mL
Unbound Concentration Steady State = 0.01068 mg/mL

D. Does the dosing regimen need to be adjusted for RJ due to the drug-drug interaction? Yes = 0 and No = 1.

Answer is NO = 1



NOTE: Clicking the button above
will prevent you getting credit for this problem

To get credit for this problem print this page, work the problem and

You will have one chance to submit your answers for this problem [# 3602037595]. You can try the homework problem more than once with different data to improve your grade. Your highest score is recorded. After submitting your answers you can use the browser back arrow to get back here and see how the compuer worked the problem.


Some Equations:

Hepatic Clearance (CL<sub>H</sub>)
Equation 17.4.1 Hepatic Clearance (CLH))

Hepatic Extraction Ratio (ER<sub>H</sub>)
Equation 17.4.2 Extraction Ratio (ER))

Hepatic Clearance (High ER)
Equation 17.4.3 Hepatic Clearance (High ER))

F (High ER)
Equation 17.4.4 F (High ER)

Hepatic Clearance (Low ER)
Equation 17.4.5 Hepatic Clearance (Low ER))

F (Low ER)
Equation 17.4.6 F (Low ER)

Drug Concentration
Equation 17.4.7 Drug Concentration

Unbound Drug Concentration
Equation 17.4.8 Unbound Drug Concentration


Questions provided by Sin Yin (Sean) Lim, PharmD, MS
Last update: Tue 23 Dec 2025 11:52:44 pm
Privacy Statement - 25 May 2018

Material on this website should be used for Educational or Self-Study Purposes Only

iBook and pdf versions of this material and other PK material is available

Copyright © 2002-2026 David Bourne (david@boomer.org)