Revision as of 22:33, 22 February 2017

Purpose

The purpose of this assignment is to construct a hypothesis regarding the effect of ammonia feed rate on a quantity of interest. The quantity of interest in my case is cytosolic alpha-ketoglutarate.

For this assignment, I read the two articles by van Riel et al, and the article by ter Schure et al. I took notes as I read the papers, trying to find a connection between the 40 mM ammonia pulse used in the experiment and cytosolic alpha-ketoglutarate. I noticed that levels of cytosolic alpha-ketoglutarate increased with the ammonia pulse. I then constructed a system of differential equations that I believe model the connection between the ammonia pulse and cytosolic alpha-ketoglutarate. The system contains three equations; one describing the change in ammonia concentration, one describing the change in biomass, and one describing the change in cytosolic alpha-ketoglutarate.

I read all 3 of the papers under the central nitrogen metabolism process section. Most of my focus was centered on the Structured, Minimal Parameter paper.

Hypothesis: An increase in ammonia feed concentration via ammonia pulse will result in higher levels of cytosolic alpha-ketoglutarate.

State variables:
- c=external ammonia concentration mM
- [math]\displaystyle{ \alpha }[/math]=cytosolic alpha-ketoglutarate [math]\displaystyle{ \mu }[/math]mol[math]\displaystyle{ \cdot }[/math]g[math]\displaystyle{ X^{-1} }[/math]
- X=biomass g[math]\displaystyle{ \cdot }[/math]l^-1

[math]\displaystyle{ \frac{d\alpha}{dt} = yr_1 - r_2 - \mu\frac{c}{c+K} }[/math]
[math]\displaystyle{ \frac{dc}{dt} = D(c_0 - c) - X\mu\frac{c}{c+K} }[/math]
- [math]\displaystyle{ \frac{dX}{dt} = X\mu\frac{c}{c+K} - DX }[/math]

Assignment Pages:

Individual Journal Entries :

Shared Journal Pages:

@@ Line 19: / Line 19: @@
 ===Problem 5===
 *<math>\frac{d\alpha}{dt} = yr_1 - r_2 - \mu\frac{c}{c+K}</math>
+*<math>\frac{dc}{dt} = D(c_0 - c) - X\mu\frac{c}{c+K}</math>
+**<math>\frac{dX}{dt} = X\mu\frac{c}{c+K} - DX</math>
 =Conclusion=