# AhmadWeek4

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 Revision as of 20:37, 7 February 2013 (view source) (New page: Image:ChemostatFigure.jpg)← Previous diff Current revision (05:10, 8 February 2013) (view source) (6 intermediate revisions not shown.) Line 1: Line 1: + ==Chemostat Plots== + [[Image:ChemostatFigure.jpg]] [[Image:ChemostatFigure.jpg]] + + *X-axis: Time + *Y-axis: Concentration + + +
VariableValue
Q0.35
U120
R4.0
K25
V4
U210
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + [[Image:ChemostatFigure2.jpg]] + + *X-axis: Time + *Y-axis: Concentration + + +
VariableValue
Q0.65
U100
R2.0
K15
V2
U260
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + ==Second Chemostat== + + [[Image:BioMathHW1]] + [[Image:BioMathHW2]] + + #Steady States + #*n = (sqrt(UnKn-y(Vmax)(c)-Kn) + #*c = (sqrt(UcKc-y(Vmax)(n)-Kc) + #*y = 1/(Vmax*r*(n/Kn+n)*(c/Kc+c)-q) + #When the feed rates increase, the steady states increase as well. The feed rate is what is limiting the yeast and keeping the steady states where they are. + #The values of the steady states are being added instead of multiplied. If the values of the variables are above 1, then the steady states will decrease because multiplied numbers are bigger than added ones. If they are less than 1, however, as in a decimal between 0 and 1, the multiplication will cause an even smaller number meaning this new value would actually be higher. + {{Salman Ahmad}}

## Chemostat Plots

• X-axis: Time
• Y-axis: Concentration
Variable Value
Q 0.35
U 120
R 4.0
K 25
V 4
U2 10

• X-axis: Time
• Y-axis: Concentration
Variable Value
Q 0.65
U 100
R 2.0
K 15
V 2
U2 60

## Second Chemostat

1. Steady States
• n = (sqrt(UnKn-y(Vmax)(c)-Kn)
• c = (sqrt(UcKc-y(Vmax)(n)-Kc)
• y = 1/(Vmax*r*(n/Kn+n)*(c/Kc+c)-q)
2. When the feed rates increase, the steady states increase as well. The feed rate is what is limiting the yeast and keeping the steady states where they are.
3. The values of the steady states are being added instead of multiplied. If the values of the variables are above 1, then the steady states will decrease because multiplied numbers are bigger than added ones. If they are less than 1, however, as in a decimal between 0 and 1, the multiplication will cause an even smaller number meaning this new value would actually be higher.
```==Assignments==
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