Following is the data and notice that it is a terrible idea to culture hMSCs longer than 10 days. You’re strongly  Days # cells 0 5000 1 7500 2 12500 3 12500 4 21800 5 28700 6 53000 7 114300 8 165300 9 192000 10 192000 11 116800 12 89500 13 88300 14 78300 Part1  You are working for a start-up that is pursuing a clinical trial. The trial involves grafting hMSCs into patients suffering from interveterbral disc disease using a degradable polymer scaffold. You are going to 3D print a porous cylindrical scaffold that is 2 cm in radius and 1 cm in height (matching the dimensions of a degenerated disc). Assume a porosity of 50%. You will fill available volume of the scaffold with hMSCs at a density of 1 million cells per cm3. Based on the data above, what starting number of cells will you use and how long will it take you to get enough cells for the trial? Part2 The trial is a failure (patients did not report any reduction in back pain). Your team wants to try again using 85% hMSCs and 15% nucleus pulposus cells . You want the same density of 1 x 106cells/cm3. You’re still using the same scaffold. Start with the same starting number of hMSCs determined above , and assume a doubling time for nucleus pulposus cells is approximately 48 hours. Also, assume that the growth curve of hMSCs is not altered by the presence of nucleus pulposus cells . Calculate the amount of time that it would take to grow this construct and also the number of nucleus pulposus cells required.

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Following is the data and notice that it is a terrible idea to culture hMSCs longer than 10 days. You’re strongly 

Days # cells
0 5000
1 7500
2 12500
3 12500
4 21800
5 28700
6 53000
7 114300
8 165300
9 192000
10 192000
11 116800
12 89500
13 88300
14 78300

Part1 
You are working for a start-up that is pursuing a clinical trial. The trial involves grafting hMSCs into
patients suffering from interveterbral disc disease using a degradable polymer scaffold. You are going to 3D
print a porous cylindrical scaffold that is 2 cm in radius and 1 cm in height (matching the dimensions of a
degenerated disc). Assume a porosity of 50%. You will fill available volume of the scaffold with hMSCs at a
density of 1 million cells per cm3. Based on the data above, what starting number of cells will you use and
how long will it take you to get enough cells for the trial?

Part2
The trial is a failure (patients did not report any reduction in back pain). Your team wants to try again
using 85% hMSCs and 15% nucleus pulposus cells . You want the same density of 1 x 106cells/cm3. You’re
still using the same scaffold. Start with the same starting number of hMSCs determined above , and assume
a doubling time for nucleus pulposus cells is approximately 48 hours. Also, assume that the growth curve of
hMSCs is not altered by the presence of nucleus pulposus cells . Calculate the amount of time that it would
take to grow this construct and also the number of nucleus pulposus cells required.

Expert Solution
Step 1

Introduction 

The nucleus pulposus is a gel-like substance that is located in the center of the intervertebral discs of the spine. It is surrounded by a tough, fibrous outer layer called the annulus fibrosus. The nucleus pulposus acts as a shock absorber, cushioning the vertebrae and allowing for movement of the spine.

It is composed mainly of water and proteoglycans, which give it its gel-like consistency. As we age, the nucleus pulposus can degenerate and lose its water content, leading to conditions such as herniated discs and back pain.

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