Armanious, Matt-Module 9 Homework.pdf

Armanious, Matt-Module 9 Homework.pdf - Matthew Armanious...

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Matthew Armanious Cell and Tissue Enginering Module 9 Homework 1. Understanding and analyzing molecular transport mechanism is necessary when designing basic cell culture experiments and perfusion of biomaterials using a bioreactor. Oxygen delivery to cells in culture can by modeled using Fick’s Law. Transport of oxygen from the gas phase (Pg) to the cell phase (Pc) is driven by the oxygen gradient across the height of the medium. The rate of oxygen uptake by cells however can be modeled with Michaelis-Menten kinetics (what we use for facilitated diffusion) (from Pc into the cell). a) In lecture, we graphed dn/dt as a function of dC/dx for simple diffusion. What is the slope of this line? What do increases or decreases in the slope mean biologically? The slope of this line is the "#$% &’ ()’’*+)&, -&,.%,$/#$)&, 0/#1)%,$ . When this slope increases, that means the rate of diffusion increases as well. This happens when the concentration of molecules outside the cell is very high relative to the internal cell concentration. When the internal and external concentrations are similar (a low concentration gradient), the rate of diffusion will be lowered which also decreases the slope. b) Now assume the concentration gradient is a constant. How does the rate of diffusion (dn/dt) change with the surface area of the cell and the permeability of the diffusing molecule? Graph dn/dt as a function of A or P and describe the function.
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  • Spring '18
  • Drummond
  • Cell culture, Mesenchymal Stem Cells, adequate gas exchange

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