One model of the glomerular membrane is a microporous membrane in which right cylindrical pores penetrate all the way through the membrane. Assume that the pores have a length of 50 nm and a radius of 3.5 nm. The viscosity of plasma is 0.002 Pa s. The average hydrostatic pressure in the glomerulus is 60 mm Hg, hydrostatic pressure in Bowman's space is 20 mm Hg and the average oncotic pressure of glomerular capillary blood is 28 mm Hg. A. Calculate the flow through a single pore assuming laminar flow (use the Poiseuille flow equation) B. How many pores would there have to be to produce a normal GFR? C. If the total aggregate area of the kidneys for filtration is 1.5 m2, what is the density of the pores (number of pores per unit area)? D. What fraction of the area is present as pores?

Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
icon
Related questions
Question

One model of the glomerular membrane is a microporous membrane in which right cylindrical pores penetrate all the way through the membrane. Assume that the pores have a length of 50 nm and a radius of 3.5 nm. The viscosity of plasma is 0.002 Pa s. The average hydrostatic pressure in the glomerulus is 60 mm Hg, hydrostatic pressure in Bowman's space is 20 mm Hg and the average oncotic pressure of glomerular capillary blood is 28 mm Hg. A. Calculate the flow through a single pore assuming laminar flow (use the Poiseuille flow equation) B. How many pores would there have to be to produce a normal GFR? C. If the total aggregate area of the kidneys for filtration is 1.5 m2, what is the density of the pores (number of pores per unit area)? D. What fraction of the area is present as pores?

4) One model of the glomerular membrane is a microporous membrane in which right cylindrical
pores penetrate all the way through the membrane. Assume that the pores have a length of 50 nm
and a radius of 3.5 nm. The viscosity of plasma is 0.002 Pa s. The average hydrostatic pressure in
the glomerulus is 60 mm Hg, hydrostatic pressure in Bowman's space is 20 mm Hg and the average
oncotic pressure of glomerular capillary blood is 28 mm Hg.
A. Calculate the flow through a single pore assuming laminar flow (use the Poiseuille flow
equation).
B. How many pores would there have to be to produce a normal GFR?
C. If the total aggregate area of the kidneys for filtration is 1.5 m², what is the density of the pores
(number of pores per unit area)?
D. What fraction of the area is present as pores?
Transcribed Image Text:4) One model of the glomerular membrane is a microporous membrane in which right cylindrical pores penetrate all the way through the membrane. Assume that the pores have a length of 50 nm and a radius of 3.5 nm. The viscosity of plasma is 0.002 Pa s. The average hydrostatic pressure in the glomerulus is 60 mm Hg, hydrostatic pressure in Bowman's space is 20 mm Hg and the average oncotic pressure of glomerular capillary blood is 28 mm Hg. A. Calculate the flow through a single pore assuming laminar flow (use the Poiseuille flow equation). B. How many pores would there have to be to produce a normal GFR? C. If the total aggregate area of the kidneys for filtration is 1.5 m², what is the density of the pores (number of pores per unit area)? D. What fraction of the area is present as pores?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Human Anatomy & Physiology (11th Edition)
Human Anatomy & Physiology (11th Edition)
Anatomy and Physiology
ISBN:
9780134580999
Author:
Elaine N. Marieb, Katja N. Hoehn
Publisher:
PEARSON
Anatomy & Physiology
Anatomy & Physiology
Anatomy and Physiology
ISBN:
9781259398629
Author:
McKinley, Michael P., O'loughlin, Valerie Dean, Bidle, Theresa Stouter
Publisher:
Mcgraw Hill Education,
Human Anatomy
Human Anatomy
Anatomy and Physiology
ISBN:
9780135168059
Author:
Marieb, Elaine Nicpon, Brady, Patricia, Mallatt, Jon
Publisher:
Pearson Education, Inc.,
Anatomy & Physiology: An Integrative Approach
Anatomy & Physiology: An Integrative Approach
Anatomy and Physiology
ISBN:
9780078024283
Author:
Michael McKinley Dr., Valerie O'Loughlin, Theresa Bidle
Publisher:
McGraw-Hill Education
Human Anatomy & Physiology (Marieb, Human Anatomy…
Human Anatomy & Physiology (Marieb, Human Anatomy…
Anatomy and Physiology
ISBN:
9780321927040
Author:
Elaine N. Marieb, Katja Hoehn
Publisher:
PEARSON