Difference between revisions of "Calculation of the averaged relative error"

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(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>
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<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>
 
  
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<h2>Binding Reactions</h2>
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<math> \sigma = \frac{\frac{7}{177}+\frac{20.2951}{74.1043}}{2} = 1.5671 \cdot 10^{-1} </math>
  
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<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.
  
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The averaged relative error is assumed to be the same as for the four binding reactions in the Ras activation process.
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<math>\frac{\frac{0.24}{1.07} + \frac{61.131}{147}}{2} = 0.320687 </math>
  
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'''Assoziation:'''
 
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<math>\frac{\frac{0.24}{1.07} + \frac{61.131}{147}}{2} = 0.320687 </math>
 
  
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<h2>Dissoziation</h2>
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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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'''Dissoziation:'''
 
 
<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>
  
 
<h2>k<sub>cat</sub></h2>
 
<h2>k<sub>cat</sub></h2>
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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).
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For the calculation of the averaged relative error four reactions are taken into account (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.
 
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>
 
  
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<h2>k<sub>m</sub></h2>
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<math>\frac{\frac{0.0159386}{0.25083} + \frac{0.64133}{1.9248} + \frac{0.011}{31.6} + \frac{0.109}{6.99} }{4} = 0.10395 </math>
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<h2>K<sub>m</sub></h2>
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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 and inactivation process.
  
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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.
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<math>\frac{\frac{6.6\cdot 10^{-3}}{4.66\cdot 10^{-2}} + \frac{1.3348\cdot 10^{-1}}{1.5} + \frac{8.984}{42.7} + \frac{0.667398}{0.275} + \frac{62}{656} + \frac{691}{2800}}{6} =  0.53485 </math>
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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>
 

Latest revision as of 11:04, 28 May 2014

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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)

\sigma = \frac{\frac{7}{177}+\frac{20.2951}{74.1043}}{2} = 1.5671 \cdot 10^{-1}


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.

\frac{\frac{0.24}{1.07} + \frac{61.131}{147}}{2} = 0.320687


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.

\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

kcat

For the calculation of the averaged relative error four reactions are taken into account (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.


\frac{\frac{0.0159386}{0.25083} + \frac{0.64133}{1.9248} + \frac{0.011}{31.6} + \frac{0.109}{6.99} }{4} = 0.10395

Km

The same reaction as for kcat are taken into account, plus the second step of the Erk-activation and inactivation process.

\frac{\frac{6.6\cdot 10^{-3}}{4.66\cdot 10^{-2}} + \frac{1.3348\cdot 10^{-1}}{1.5} + \frac{8.984}{42.7} + \frac{0.667398}{0.275} + \frac{62}{656} + \frac{691}{2800}}{6} = 0.53485

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