Difference between revisions of "Adenylate kinase"

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(Parameters with uncertainty)
(Parameters with uncertainty)
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| The Adenylate kinase was modeled using mass action kinetics with parameters <math>K_1</math> and <math>K_2</math> consistent with the equilibrium constant of the reaction. The equilibrium constant (Keq=2.26) is from Bergmeyer H.U. (1974) page 486<ref name="bergmeyer74">Bergmeyer H.U. (1974) ''Methods of enzymatic analysis'', Publisher: Verlag Chemie (vol 1)</ref>:  
 
| The Adenylate kinase was modeled using mass action kinetics with parameters <math>K_1</math> and <math>K_2</math> consistent with the equilibrium constant of the reaction. The equilibrium constant (Keq=2.26) is from Bergmeyer H.U. (1974) page 486<ref name="bergmeyer74">Bergmeyer H.U. (1974) ''Methods of enzymatic analysis'', Publisher: Verlag Chemie (vol 1)</ref>:  
 
<math>Keq(ATP+AMP  \rightarrow 2*ADP, pH=7.4, T=25^oC)=2.26</math><br/>
 
<math>Keq(ATP+AMP  \rightarrow 2*ADP, pH=7.4, T=25^oC)=2.26</math><br/>
In Mass action rate law the relationship is <math>\frac{K_2}{K_1} = K_{eq}</math>. Considering <math>K_{eq} = 2.26</math> we have <math>K_2=2.26</math> and <math>K_1 = 1</math> to be consistent with the equation. The value of <math>K_1</math> and <math>K_2</math> would be varied based on the uncertainty on <math>K_{eq}</math> value mentioned in the following table.
+
In Mass action rate law the relationship is <math>\frac{K_2}{K_1} = K_{eq}</math>. Considering <math>K_{eq} = 2.26</math> we have <math>K_2=2.26</math> and <math>K_1 = 1</math> to be consistent with the equation. The value of <math>K_1</math> and <math>K_2</math> would be varied based on the uncertainty on <math>K_{eq}</math> value mentioned in the following table. The percentage of error in Keq is <math>\approx 4</math>. With similar percent of error the value for <math>K_1 = 1 \pm 0.04</math> and <math>K_2 = 2.26 \pm 0.09044</math>
 
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Revision as of 16:34, 28 May 2014


Adenylate kinase is a phosphotransferase enzyme that catalyzes the interconversion of adenine nucleotides.

Chemical equation

 ATP + AMP \rightleftharpoons 2ADP

Rate equation

Reversible mass action rate law is used

K_{1}[ATP][AMP] - K_{2}[ADP]^2

Parameter values

Parameter Value Organism Remarks
K_{1} 1 [1] HeLa cell line
K_{2} 2.26 [1]

Parameters with uncertainty

Parameter Value
Failed to parse (Cannot store math image on filesystem.): K_1=1 , K_2=2.26 The Adenylate kinase was modeled using mass action kinetics with parameters K_1 and K_2 consistent with the equilibrium constant of the reaction. The equilibrium constant (Keq=2.26) is from Bergmeyer H.U. (1974) page 486[2]:

Keq(ATP+AMP  \rightarrow 2*ADP, pH=7.4, T=25^oC)=2.26
In Mass action rate law the relationship is \frac{K_2}{K_1} = K_{eq}. Considering K_{eq} = 2.26 we have K_2=2.26 and K_1 = 1 to be consistent with the equation. The value of K_1 and K_2 would be varied based on the uncertainty on K_{eq} value mentioned in the following table. The percentage of error in Keq is \approx 4. With similar percent of error the value for K_1 = 1 \pm 0.04 and K_2 = 2.26 \pm 0.09044

Equilibrium constant

Equilibrium constant Conditions Source
0.48+/-0.015 (mean+/-SEM; n=7) pH=7, T=25°C, 10mM Mg2+ NIST database "Thermodynamics of Enzyme-Catalyzed Reactions" entry [61ATK/BUR_640] from Atkinson et al. (1961) [3] Table 2

Therefore, Keq(forward) = 0.48 +/-0.015 (n=7; mean+/-SEM calculated from individual measurements).

References

  1. 1.0 1.1 Marín-Hernández A, Gallardo-Pérez JC, Rodríguez-Enríquez S et al (2011) Modeling cancer glycolysis. Biochim Biophys Acta 1807:755–767 (doi)
  2. Bergmeyer H.U. (1974) Methods of enzymatic analysis, Publisher: Verlag Chemie (vol 1)
  3. Atkinson, M. R., Burton, R. M. and Morton, R. K. (1961) Biochem J. 78(4):813–820. (pmid: 13684980)