a) How long should a patient be put on dialysis to reduce the blood urea concentration from an initial value of 1.65 mg/mL to 0.60 mg/mL, given that K = 340 mL/min and V = 32, 941 mL? b) Derive a general formula for the dialysis time T , in terms of the initial urea concentration c0 and he target urea concentration c (T ) (c) The quantity Kt, is sometimes used as a measure of dialysis treatment adequacy. What are its V units and explain what does this quantity represent?

Human Physiology: From Cells to Systems (MindTap Course List)
9th Edition
ISBN:9781285866932
Author:Lauralee Sherwood
Publisher:Lauralee Sherwood
Chapter14: The Urinary System
Section: Chapter Questions
Problem 1SQE
icon
Related questions
icon
Concept explainers
Question

 

 

Hemodialysis is a process by which a machine is used to filter urea and other waste products from an individual’s blood when the kidneys fail. The concentration of urea in the blood is often modeled as exponential decay by the following function:

−Kt c(t)=c0e V

where K is the mass transfer coefficient (in mL/min), c(t) is the urea concentration in the blood at time t (in mg/mL) and V is the blood volume., and c0 is the initial concentration at time t = 0.

Answer the following questions:
(a) How long should a patient be put on dialysis to reduce the blood urea concentration from an initial

value of 1.65 mg/mL to 0.60 mg/mL, given that K = 340 mL/min and V = 32, 941 mL?

b) Derive a general formula for the dialysis time T , in terms of the initial urea concentration c0 and he target urea concentration c (T )

(c) The quantity Kt, is sometimes used as a measure of dialysis treatment adequacy. What are its V units and explain what does this quantity represent?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Organ system
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, nursing and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Human Physiology: From Cells to Systems (MindTap …
Human Physiology: From Cells to Systems (MindTap …
Biology
ISBN:
9781285866932
Author:
Lauralee Sherwood
Publisher:
Cengage Learning
Curren'S Math For Meds: Dosages & Sol
Curren'S Math For Meds: Dosages & Sol
Nursing
ISBN:
9781305143531
Author:
CURREN
Publisher:
Cengage