6. Problem setups. Let's consider two cases of diffusion. On the left, we have cells embedded in a spherical hydrogel submerged, in a large volume of media containing oxygen at a concentration of 5mM. On the right, we have aggregates of a solid drug embedded in a cylindrical hydrogel. These aggregates slowly dissolve (solubility coefficient 10mM) so that we can treat the concentration of drug as homogenous throughout the hydrogel sphere. The drug diffuses away into a large volume of surrounding tissue. Both cases are at steady state. R Co2 = 5mM Noz Ndrug R cells, consuming oxygen at some rate k, For both cases, please provide: a) b) c) d) particles of a solid drug with a solubility coefficient of 10mM The simplified governing differential equation, specified in terms of concentration (not flux). State your assumptions used for simplification. . The boundary conditions (two for each case). A sketch of the concentration profile as a function of radius. Feel free to use the axes below, and please be sure to indicate your boundary conditions. A description of what you might consider to be the source and sink that provide a steady state concentration profile.
6. Problem setups. Let's consider two cases of diffusion. On the left, we have cells embedded in a spherical hydrogel submerged, in a large volume of media containing oxygen at a concentration of 5mM. On the right, we have aggregates of a solid drug embedded in a cylindrical hydrogel. These aggregates slowly dissolve (solubility coefficient 10mM) so that we can treat the concentration of drug as homogenous throughout the hydrogel sphere. The drug diffuses away into a large volume of surrounding tissue. Both cases are at steady state. R Co2 = 5mM Noz Ndrug R cells, consuming oxygen at some rate k, For both cases, please provide: a) b) c) d) particles of a solid drug with a solubility coefficient of 10mM The simplified governing differential equation, specified in terms of concentration (not flux). State your assumptions used for simplification. . The boundary conditions (two for each case). A sketch of the concentration profile as a function of radius. Feel free to use the axes below, and please be sure to indicate your boundary conditions. A description of what you might consider to be the source and sink that provide a steady state concentration profile.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:6.
Problem setups. Let's consider two cases of diffusion. On the left, we have cells embedded in a
spherical hydrogel submerged, in a large volume of media containing oxygen at a concentration of 5mM. On the
right, we have aggregates of a solid drug embedded in a cylindrical hydrogel. These aggregates slowly dissolve
(solubility coefficient 10mM) so that we can treat the concentration of drug as homogenous throughout the
hydrogel sphere. The drug diffuses away into a large volume of surrounding tissue. Both cases are at steady state.
Co2 = 5mM
b)
c)
Noz
d)
R
= cells, consuming
oxygen at some rate k,
Narus
R
For both cases, please provide:
a)
The simplified governing differential equation, specified in terms of concentration (not flux). State
your assumptions used for simplification.
The boundary conditions (two for each case).
A sketch of the concentration profile as a function of radius. Feel free to use the axes below, and
please be sure to indicate your boundary conditions.
= particles of a solid drug with
a solubility coefficient of 10mM
A description of what you might consider to be the source and sink that provide a steady state
concentration profile.
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