Difference between revisions of "Calculation of the averaged relative error"
(Created page with "{{:Template:MAPK_Template}} <h2>equilibrium constant </h2> The only steps for which an error on the equilibrium constant is really measured is the phosphorylation by creatin...") |
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<h2>equilibrium constant </h2> | <h2>equilibrium constant </h2> | ||
The only steps for which an error on the equilibrium constant is really measured is the phosphorylation by creatine kinase and the activation of C3G Therefore this relative error is calculated and assumed as relative error for the reactions for which no hint about the uncertainty is given in the literature. (Reactions are: Ras-Activation and Inactivation as well as Rap1-Activation and Inactivation) | The only steps for which an error on the equilibrium constant is really measured is the phosphorylation by creatine kinase and the activation of C3G Therefore this relative error is calculated and assumed as relative error for the reactions for which no hint about the uncertainty is given in the literature. (Reactions are: Ras-Activation and Inactivation as well as Rap1-Activation and Inactivation) | ||
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<math> \sigma = \frac{\frac{7}{177}+\frac{20.2951}{74.1043}}{2} = 1.5671 \cdot 10^{-} </math> | <math> \sigma = \frac{\frac{7}{177}+\frac{20.2951}{74.1043}}{2} = 1.5671 \cdot 10^{-} </math> | ||
<h2>Binding Reactions</h2> | <h2>Binding Reactions</h2> | ||
+ | <h2>Assoziation</h2> | ||
There are experimental errors on the binding of EGF to EGFR and of Sos to EGFR. The relative error of these two reactions is averaged. | There are experimental errors on the binding of EGF to EGFR and of Sos to EGFR. The relative error of these two reactions is averaged. | ||
− | + | <math>\frac{\frac{0.24}{1.07} + \frac{61.131}{147}}{2} = 0.320687 </math> | |
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+ | <h2>Dissoziation</h2> | ||
+ | There are experimental errors on the binding of EGF to EGFR and of Sos to EGFR. The relative error of these two reactions is averaged. | ||
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<math>\frac{\frac{5.91\cdot 10^{-4}}{2.38\cdot 10^{-3}} + \frac{3.965\cdot 10^{-2}}{1.488\cdot 10^{-1}}}{2} = 0.257392 </math> | <math>\frac{\frac{5.91\cdot 10^{-4}}{2.38\cdot 10^{-3}} + \frac{3.965\cdot 10^{-2}}{1.488\cdot 10^{-1}}}{2} = 0.257392 </math> | ||
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For the Mek-activation and Raf1-Removal process, the actual relative error without any further transformation is used. | For the Mek-activation and Raf1-Removal process, the actual relative error without any further transformation is used. | ||
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<math>\frac{\frac{1.8838\cdot 10^{-2}}{7.05\cdot 10^{-1}} + \frac{5.9101\cdot 10^{-2}}{1.055} + \frac{98.48373}{228.56} + \frac{697492 \cdot 10^4}{2\cdot10^5} + \frac{0.61111}{17.560} + \frac{0.60556}{3.8800}}{6} = 0.175541 </math> | <math>\frac{\frac{1.8838\cdot 10^{-2}}{7.05\cdot 10^{-1}} + \frac{5.9101\cdot 10^{-2}}{1.055} + \frac{98.48373}{228.56} + \frac{697492 \cdot 10^4}{2\cdot10^5} + \frac{0.61111}{17.560} + \frac{0.60556}{3.8800}}{6} = 0.175541 </math> | ||
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The same reaction as for k<sub>cat</sub> are taken into account, plus the second step of the Erk-Activation process. | The same reaction as for k<sub>cat</sub> are taken into account, plus the second step of the Erk-Activation process. | ||
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<math>\frac{\frac{6.6\cdot 10^{-3}}{4.66\cdot 10^{-2}} + \frac{1.2438\cdot 10^{-2}}{1.5} + \frac{0.56607}{4.67} + \frac{0.667398}{0.275} + \frac{4.11}{16.25} + \frac{62}{656}+ \frac{691}{2800}}{7} = 0.470323</math> | <math>\frac{\frac{6.6\cdot 10^{-3}}{4.66\cdot 10^{-2}} + \frac{1.2438\cdot 10^{-2}}{1.5} + \frac{0.56607}{4.67} + \frac{0.667398}{0.275} + \frac{4.11}{16.25} + \frac{62}{656}+ \frac{691}{2800}}{7} = 0.470323</math> |
Revision as of 15:03, 31 March 2014
equilibrium constant
The only steps for which an error on the equilibrium constant is really measured is the phosphorylation by creatine kinase and the activation of C3G Therefore this relative error is calculated and assumed as relative error for the reactions for which no hint about the uncertainty is given in the literature. (Reactions are: Ras-Activation and Inactivation as well as Rap1-Activation and Inactivation)
Failed to parse (Cannot store math image on filesystem.): \sigma = \frac{\frac{7}{177}+\frac{20.2951}{74.1043}}{2} = 1.5671 \cdot 10^{-}
Binding Reactions
Assoziation
There are experimental errors on the binding of EGF to EGFR and of Sos to EGFR. The relative error of these two reactions is averaged.
Dissoziation
There are experimental errors on the binding of EGF to EGFR and of Sos to EGFR. The relative error of these two reactions is averaged.
kcat
For the calculation of the averaged relative error six reactions are taken into account (both Erk-Inactivation steps, Mek-Activation(BRaf), Raf1-Removal and both Sos-Removal steps).
For the Mek-activation and Raf1-Removal process, the actual relative error without any further transformation is used.
Failed to parse (Cannot store math image on filesystem.): \frac{\frac{1.8838\cdot 10^{-2}}{7.05\cdot 10^{-1}} + \frac{5.9101\cdot 10^{-2}}{1.055} + \frac{98.48373}{228.56} + \frac{697492 \cdot 10^4}{2\cdot10^5} + \frac{0.61111}{17.560} + \frac{0.60556}{3.8800}}{6} = 0.175541
km
The same reaction as for kcat are taken into account, plus the second step of the Erk-Activation process.
Failed to parse (Cannot store math image on filesystem.): \frac{\frac{6.6\cdot 10^{-3}}{4.66\cdot 10^{-2}} + \frac{1.2438\cdot 10^{-2}}{1.5} + \frac{0.56607}{4.67} + \frac{0.667398}{0.275} + \frac{4.11}{16.25} + \frac{62}{656}+ \frac{691}{2800}}{7} = 0.470323