A flat (not spherical) tissue engineered skin (thickness 3.9 mm) is attached to the bottom of a dish and cultured with cell media atop it (which has an oxygen concentration of 0.15 mol/m³). The diffusivity of oxygen in the skin is 3.2 E-9 m²/s, and according to experiments that you've performed, vou want to make sure that the concentration of oxygen in the device doesn't fall below 0.06 nol/m³. (Below that concentration harms the cells.) The rate of oxygen consumption is -5 E-17 mol/[cell•s]. What is the maximum cellularity (in cells/mL, hree significant digits) that this tissue engineered skin can support?

Curren'S Math For Meds: Dosages & Sol
11th Edition
ISBN:9781305143531
Author:CURREN
Publisher:CURREN
Chapter10: Reconstitution Of Powdered Drugs
Section: Chapter Questions
Problem 7.2P
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A flat (not spherical) tissue engineered skin (thickness 3.9 mm) is attached to the bottom of a dish
and cultured with cell media atop it (which has an oxygen concentration of 0.15 mol/m3). The
diffusivity of oxygen in the skin is 3.2 E-9 m?/s, and according to experiments that you've performed,
you want to make sure that the concentration of oxygen in the device doesn't fall below 0.06
mol/m3. (Below that concentration harms the cells.)
The rate of oxygen consumption is -5 E-17 mol/[cell•s]. What is the maximum cellularity (in cells/mL,
three significant digits) that this tissue engineered skin can support?
Transcribed Image Text:A flat (not spherical) tissue engineered skin (thickness 3.9 mm) is attached to the bottom of a dish and cultured with cell media atop it (which has an oxygen concentration of 0.15 mol/m3). The diffusivity of oxygen in the skin is 3.2 E-9 m?/s, and according to experiments that you've performed, you want to make sure that the concentration of oxygen in the device doesn't fall below 0.06 mol/m3. (Below that concentration harms the cells.) The rate of oxygen consumption is -5 E-17 mol/[cell•s]. What is the maximum cellularity (in cells/mL, three significant digits) that this tissue engineered skin can support?
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