Team:TU Delft/Modeling/HC regulation/Sensitivity

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[[Image:Team_TUDelft_K_B.png|thumb|600 px|centre|'''Figure 9''' – Sensitivity analysis of parameter K<sub>B</sub>]]
[[Image:Team_TUDelft_K_B.png|thumb|600 px|centre|'''Figure 9''' – Sensitivity analysis of parameter K<sub>B</sub>]]
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These results are summarized in table 1. A '0' means insensitive, a '+' means somewhat sensitive and a '++' is very sensitive.
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''Table 1; results for sensitivity analysis for the gene regulation model''
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{|
 +
|'''Parameter'''
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|'''Sensitive for steady state concentration'''
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|'''Sensitive for reaching steady state concentration'''
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|-
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|β<sup>max</sup><sub>S1</sub>
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|'''0'''
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|'''+'''
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|β<sup>max</sup><sub>S2</sub>
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|'''+'''
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|'''+'''
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|β<sup>max</sup><sub>B</sub>
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|'''++'''
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|'''0'''
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|β<sup>max</sup><sub>AlkS</sub>
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|'''+'''
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|'''+'''
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|β<sup>max</sup><sub>AlkB</sub>
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|'''++'''
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|'''0'''
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|K<sub>HC</sub>
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|'''+'''
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|'''+'''
 +
|K<sub>S1</sub>
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|'''0'''
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|'''+'''
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|K<sub>S2</sub>
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|'''+'''
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|'''+'''
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|K<sub>B</sub>
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|'''+'''
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|'''+'''
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|}
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 +
=== Navigation ===
Go back to the model explanation [[Team:TU_Delft/Modeling/HC_regulation|here]]
Go back to the model explanation [[Team:TU_Delft/Modeling/HC_regulation|here]]
Go back to the main modeling page [[Team:TU_Delft/Modeling|here]]
Go back to the main modeling page [[Team:TU_Delft/Modeling|here]]

Revision as of 13:57, 27 October 2010

Sensitivity analysis

For all beta parameters (lumped variables for transcriptions speed, translations speed, promoter strength and rbs strength) and all K parameters (equilibrium constant for binding of AlkS with alkanes and coefficients for the activity of promoters) a sensitivity analysis has been performed. This was done by varying the parameters from 50% of their original values to 200% of their original values.

For this range of parameter values it is checked how much the steady state concentration of AlkB is and how long it takes for 95% of the steady state concentration of AlkB to be reached from steady state values for no alkanes to steady state values for 1 µM of alkanes.

In the figures below are the results for this sensitivity analysis.


Figure 1 – Sensitivity analysis of parameter βmaxS1
Figure 2 – Sensitivity analysis of parameter βmaxS2
Figure 3 – Sensitivity analysis of parameter βmaxB
Figure 4 – Sensitivity analysis of parameter βmaxAlkS
Figure 5 – Sensitivity analysis of parameter βmaxAlkB
Figure 6 – Sensitivity analysis of parameter KHC
Figure 7 – Sensitivity analysis of parameter KS1
Figure 8 – Sensitivity analysis of parameter KS2
Figure 9 – Sensitivity analysis of parameter KB

These results are summarized in table 1. A '0' means insensitive, a '+' means somewhat sensitive and a '++' is very sensitive.

Table 1; results for sensitivity analysis for the gene regulation model

Parameter Sensitive for steady state concentration Sensitive for reaching steady state concentration
βmaxS1 0 + βmaxS2 + + βmaxB ++ 0 βmaxAlkS + + βmaxAlkB ++ 0 KHC + + KS1 0 + KS2 + + KB + +


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