Question: medium dish Using a scribe, you draw a long flat trench (1 mm wide, 1 cm long, and 0.3 mm deep) at the bottom of

medium dish Using a scribe, you draw a long flat trench (1 mm wide, 1 cm long, and 0.3 mm deep) at the bottom of a plastic Petri dish. You then fill up gel with cells the trench with a collagen gel that contains 108 cells/cm. Each cell produces 100 protein molecules per second. Finally, you overlay the dish and gel with a large volume of protein-free medium and allow steady state to be reached. The protein diffusivity in the gel is 10 um?/s. A) Why can the transport of protein in the gel be treated as 1D? B) Does the rate at which the medium accumulates protein depend on how quickly the medium is stirred? If so, why? If not, what is the value of the protein accumulation rate? C) The mass transfer coefficient at the gel-medium interface is 1 cm/s. Find the protein concentration at the interface. Assume the gel:medium partition coefficient for protein equals one. D) Find the protein concentration at the bottom of the gel. medium dish Using a scribe, you draw a long flat trench (1 mm wide, 1 cm long, and 0.3 mm deep) at the bottom of a plastic Petri dish. You then fill up gel with cells the trench with a collagen gel that contains 108 cells/cm. Each cell produces 100 protein molecules per second. Finally, you overlay the dish and gel with a large volume of protein-free medium and allow steady state to be reached. The protein diffusivity in the gel is 10 um?/s. A) Why can the transport of protein in the gel be treated as 1D? B) Does the rate at which the medium accumulates protein depend on how quickly the medium is stirred? If so, why? If not, what is the value of the protein accumulation rate? C) The mass transfer coefficient at the gel-medium interface is 1 cm/s. Find the protein concentration at the interface. Assume the gel:medium partition coefficient for protein equals one. D) Find the protein concentration at the bottom of the gel
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