EdinburghModeling

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[[Image:Model_Diagram2.JPG|750 px]]
[[Image:Model_Diagram2.JPG|750 px]]
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== Reaction set ==
== Reaction set ==
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|1 ||ArsD binding to Arsenic (III) ||ArsD+2As(III)=ArsD-2As(III)||Mass Action|| K1=1000 K-1=0.65
|1 ||ArsD binding to Arsenic (III) ||ArsD+2As(III)=ArsD-2As(III)||Mass Action|| K1=1000 K-1=0.65
 +
|-
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|2 ||ArsD binding to promoter1  ||2 ArsD+promoter1=2ArsD-promoter1 || Mass Action||K2=10000, K-2=0.65
 +
|-
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|3 ||ArsD degradation ||ArsD->null|| Mass Action||K3=0.05
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|-
 +
|4 ||ArsD production ||promoter1->promoter1+ArsD||Michaelis-Menton ||V4m=0.5, K4m=75
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|-
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|5 ||ArsR binding to Arsenic (III) ||ArsR+2As(III)=ArsR-2As(III) ||Mass Action ||K5=1000, K-5=0.65
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|-
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|6 ||ArsR binding to promoter2 ||2ArsR+promoter2=2ArsR-promoter2 ||Mass Action ||K6=10000, K-6=0.65
 +
|-
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|7 ||ArsR degradation ||ArsR->null  ||Mass Action ||K7=0.05
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|-
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|8 ||ArsR production ||promoter2->promoter2+ArsR ||Michaelis-Menton ||V8m=10, K8m=25
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|-
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|9 ||LacI binding to allolactose ||LacI+allolactose=LacI-allolactose ||Mass Action ||K9=10000, K-9=0.1
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|-
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|10 ||LacI binding to promoter4 ||LacI+promoter4 = LacI-promoter4 ||Mass Action ||K10=1000, K-10=0.5
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|-
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|11 ||LacI degradation ||LacI->null  ||Mass Action ||K11=0.1
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|-
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|12 ||LacI production ||promoter3->promoter3+LacI ||Michaelis-Menton ||V12m=0.5, K12m=40
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|-
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|13 ||lacZ degradation ||lacZ->null  ||Mass Action ||K13=0.1
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|-
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|14 ||lacZ production ||promoter1->promoter1+lacZ ||Michaelis-Menton ||V14m=25, K14m=10
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|-
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|15 ||LCI binding to promoter 4 ||LCI+promoter4=LCI-promoter4 ||Mass Action ||K15=10000, K-15=0.5
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|-
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|16 ||LCI degradation ||LCI->null  ||Mass Action ||K16=0.1
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|-
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|17 ||LCI production ||promoter2->promoter2+LCI ||Michaelis-Menton ||V17m=10, K17m=25
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|-
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|18 ||Urease degradation ||Urease->null  ||Mass Action ||K18=0.1
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|-
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|19 ||Urease production ||promoter4->promoter4+Urease ||Michaelis-Menton ||V19m=10, K19m=40
|}
|}
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Note: The units for first, second and third order rate constants are expressed in units of second^{-1}, nMol^{-1}second^{-1} and l^{2}nMol^{-2}second^{-1}respectively.

Revision as of 21:27, 11 September 2006

System Diagram of Arsenic Biosensor

Model Diagram2.JPG

Reaction set

No. Name Equation Rate Law Parameters
1 ArsD binding to Arsenic (III) ArsD+2As(III)=ArsD-2As(III)Mass Action K1=1000 K-1=0.65
2 ArsD binding to promoter1 2 ArsD+promoter1=2ArsD-promoter1 Mass ActionK2=10000, K-2=0.65
3 ArsD degradation ArsD->null Mass ActionK3=0.05
4 ArsD production promoter1->promoter1+ArsDMichaelis-Menton V4m=0.5, K4m=75
5 ArsR binding to Arsenic (III) ArsR+2As(III)=ArsR-2As(III) Mass Action K5=1000, K-5=0.65
6 ArsR binding to promoter2 2ArsR+promoter2=2ArsR-promoter2 Mass Action K6=10000, K-6=0.65
7 ArsR degradation ArsR->null Mass Action K7=0.05
8 ArsR production promoter2->promoter2+ArsR Michaelis-Menton V8m=10, K8m=25
9 LacI binding to allolactose LacI+allolactose=LacI-allolactose Mass Action K9=10000, K-9=0.1
10 LacI binding to promoter4 LacI+promoter4 = LacI-promoter4 Mass Action K10=1000, K-10=0.5
11 LacI degradation LacI->null Mass Action K11=0.1
12 LacI production promoter3->promoter3+LacI Michaelis-Menton V12m=0.5, K12m=40
13 lacZ degradation lacZ->null Mass Action K13=0.1
14 lacZ production promoter1->promoter1+lacZ Michaelis-Menton V14m=25, K14m=10
15 LCI binding to promoter 4 LCI+promoter4=LCI-promoter4 Mass Action K15=10000, K-15=0.5
16 LCI degradation LCI->null Mass Action K16=0.1
17 LCI production promoter2->promoter2+LCI Michaelis-Menton V17m=10, K17m=25
18 Urease degradation Urease->null Mass Action K18=0.1
19 Urease production promoter4->promoter4+Urease Michaelis-Menton V19m=10, K19m=40

Note: The units for first, second and third order rate constants are expressed in units of second^{-1}, nMol^{-1}second^{-1} and l^{2}nMol^{-2}second^{-1}respectively.

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