Team:Nevada/Modeling

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We developed a computer model for measuring enzyme kinetics of our pathway <html><a href="#FIG1">(Figure 1)</a></html>. The model was developed using mathematica based upon steady-state Michaelis–Menten kinetics <html><a href="#FIG2">(Figure 2)</a></html>. It revealed that the kinetic parameters for the wild type isoform of 4-coumarate:CoA ligase were creating a bottleneck and significantly slowing down the overall reaction <html><a href="#FIG3">(Figure 3)</a></html>. There are two basic ways to get around this problem: (1) to use a mutant enzyme <html><a href="#FIG4">(Figure 4)</a></html> with more favorable kinetic parameters or to increase the concentration of the wild type isoform of 4-coumarate:CoA ligase <html><a href="#FIG5">(Figure 5)</a></html>. For all of the kinetics characterized assume all of the enzymes are in equal concentrations, except for the model involving 10x the concentration of the wild type isoform of 4-coumarate:CoA ligase <html><a href="#FIG5">(Figure 5)</a></html>.
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We chose to investigate both of these methods to insure no ill-conceived reaction kinetics were occurring.
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== '''Modeling''' ==
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We developed a computer model for measuring enzyme kinetics of our pathway <html><a href="#FIG1">(Figure 1)</a>. The model was developed using  <i> <a href="http://www.wolfram.com/">Mathematica</a></i></html> based upon steady-state Michaelis–Menten kinetics <html><a href="#FIG2">(Figure 2)</a></html>. It revealed that the kinetic parameters for the wild type isoform of 4-coumarate:CoA ligase were creating a bottleneck and significantly slowing down the overall reaction <html><a href="#FIG3">(Figure 3)</a></html>. Our group postulated and tested two potential solutions to get around this problem: <html><big>(1)</big></html> To use a mutant enzyme <html><a href="#FIG4">(Figure 4)</a></html> with more favorable kinetic parameters or <html><big>(2)</big></html> To increase the concentration of the wild type isoform of 4-coumarate:CoA ligase <html><a href="#FIG5">(Figure 5)</a></html>. The mutant isoform of 4-coumarate:CoA ligase was selected for based on a 2000 paper by Stuible, <html><i>et al.</i> at the <a href="http://www.mpg.de/english/portal/index.html">Max Planck Institute</a></html> who altered three polar amino acids into hydrophobic groups and discovered the 4-coumarate:CoA ligase mutant's affinity for the nonpolar sites of cinnamic acid increased dramatically <html><a href="#REF3">(3)</a></html>.  For all of the kinetics characterized assume all of the enzymes are in equal concentrations, except for the model involving 10x the concentration of the wild type isoform of 4-coumarate:CoA ligase <html><a href="#FIG5">(Figure 5)</a></html>.
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We chose to investigate both of these methods to insure no ill-conceived reaction kinetics were occurring.
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<br />
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<br />
While we have a hypothetical  model for the reverse reaction, it is purely speculative as no real world data exists characterizing the reverse reaction rates of the aforementioned enzymes. This also means our model does not account for reverse reaction kinetics due to the lack of available data.
While we have a hypothetical  model for the reverse reaction, it is purely speculative as no real world data exists characterizing the reverse reaction rates of the aforementioned enzymes. This also means our model does not account for reverse reaction kinetics due to the lack of available data.
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We also used kinetic values from a highly conserved variant of Cinnamoyl-CoA reductase called Feruloyl-CoA reductase. Data for the latter was obtained from the Arabidopsis thaliana isoform and is structurally similar enough to act as a proper substitute for Cinnamoyl-CoA reductase <html><a href="#TAB1">(Table 1)</a></html>.
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We also used kinetic values from a highly conserved variant of Cinnamoyl-CoA reductase called Feruloyl-CoA reductase. Data for the latter was obtained from the <html><i>Arabidopsis thaliana</i></html> isoform and is structurally similar enough to act as a proper substitute for Cinnamoyl-CoA reductase <html><a href="#TAB1">(Table 1)</a>.
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<br />
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<br />
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Our model yielded vital information regarding the proper kinetic parameters our team needed to consider in order to establish an efficient, and effective pathway.
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==Figure 1==
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<p style="text-align:center;"><a name="FIG1"></a>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">Figure 1 - Cinnamaldehyde Synthesis Pathway</b>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">Cinnamaldehyde Synthesis Pathway</b>
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<div style="text-align:center;">[[Image:CinnamaldehydePathway2.png|120p|Cinnamaldehyde Synthesis Pathway‎]]</div>
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[[Image:CinnamaldehydePathway2.png|120p|Cinnamaldehyde Synthesis Pathway‎]]
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==Figure 2==
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<p><a name="FIG2"></a>
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<p style="text-align:center;"><a name="FIG2"></a>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">Figure 2 - Steady State Model of Cinnamaldehyde Production from an L-Phenylalanine Precursor using the wild type isoform of 4-coumarate:CoA ligase</b>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">
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</p><br />
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Steady State Model of Cinnamaldehyde Production from an L-Phenylalanine Precursor<br />
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using the wild type isoform of 4-coumarate:CoA ligase</b>
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</p>
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<div style="text-align:center;">[[Image:IGemWildType.jpg‎]]</div>
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==Figure 3==
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[[Image:IGemWildType.jpg‎]]
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<p><a name="FIG3"></a>
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<p style="text-align:center;"><a name="FIG3"></a>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">Figure 3 - Steady State Model of Cinnamaldehyde Production from an L-Phenylalanine Precursor using the mutant isoform of 4-coumarate:CoA ligase</b>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">
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</p><br />
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Steady State Model of Cinnamaldehyde Production from an L-Phenylalanine Precursor<br />
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using the mutant isoform of 4-coumarate:CoA ligase</b>
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</p>
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<div style="text-align:center;">[[Image:IgemMutant.jpg‎‎]]</div>
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[[Image:IgemMutant.jpg‎‎]]
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==Figure 4==
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<p style="text-align:center;"><a name="FIG4"></a>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">Figure 4 - Steady State Model of Cinnamaldehyde Production from an L-Phenylalanine Precursor using 10 times the concentration of the wild type isoform of 4-coumarate:CoA ligase</b>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">
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</p><br />
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Steady State Model of Cinnamaldehyde Production from an L-Phenylalanine Precursor<br />
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using 10 times the concentration of the wild type isoform of 4-coumarate:CoA ligase</b>
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</p>
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<div style="text-align:center;">[[Image:Igem10xConc.jpg]]</div>
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[[Image:Igem10xConc.jpg]]
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==Figure 5==
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<p><a name="FIG5"></a>
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<p style="text-align:center;"><a name="FIG5"></a>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">Figure 5 - Modeling Source Code</b>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">Modeling Source Code</b>
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<div style="text-align:center;">[[Image:IgemCode.jpg]]</div>
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[[Image:IgemCode.jpg]]
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==Table 1==
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<p><a name="TAB1"></a>
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<p style="text-align:center;"><a name="TAB1"></a>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">Table 1 - Enzyme Modeling Kinetics and Environmental Conditions</b>
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   <b style="font-size: 1.5em; font-family: Times New Roman, sans-serif;">Enzyme Modeling Kinetics and Environmental Conditions</b>
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<div style="text-align:center;">[[Image:ExcelModelingStats.JPG]]</div>
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[[Image:ExcelModelingStats.JPG]]
 
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== References ==
== References ==
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1. Mulquiney, P.J., Kuchel, P.W. Modeling Metabolism with Mathematica. CRC Press: 2003.
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#Mulquiney, P.J., Kuchel, P.W. Modeling Metabolism with Mathematica. CRC Press: 2003.
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<br>
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#Schneider, K., Hovel, K., Witzel, K., Hamberger, B., Schombur, D., Kombrink, E., Stuible, H.P. 2003. The substrate specificity-determining amino acid code of 4-coumarate:CoA ligase. PNAS. 100, 8601-8606.
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2. Schneider, K., Hovel, K., Witzel, K., Hamberger, B., Schombur, D., Kombrink, E., Stuible, H.P. 2003. The substrate specificity-determining amino acid code of 4-coumarate:CoA ligase. PNAS. 100, 8601-8606.
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#<html><a name="REF3"></a>Stuible, H.P., Buttner, D., Ehlting, J., Hahlbrock, K., Kombrink, E. 2000. Mutational analysis of 4-coumarate:CoA ligase identifies functionally important amino acids and verifies its close relationship to other adenylate-forming enzymes. FEBS Letters. 467, 117-122.</html>
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3. Stuible, H.P., Buttner, D., Ehlting, J., Hahlbrock, K., Kombrink, E. 2000. Mutational analysis of 4-coumarate:CoA ligase identifies functionally important amino acids and verifies its close relationship to other adenylate-forming enzymes. FEBS Letters. 467, 117-122.
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Latest revision as of 03:40, 22 October 2009


Contents

Modeling

We developed a computer model for measuring enzyme kinetics of our pathway (Figure 1). The model was developed using Mathematica based upon steady-state Michaelis–Menten kinetics (Figure 2). It revealed that the kinetic parameters for the wild type isoform of 4-coumarate:CoA ligase were creating a bottleneck and significantly slowing down the overall reaction (Figure 3). Our group postulated and tested two potential solutions to get around this problem: (1) To use a mutant enzyme (Figure 4) with more favorable kinetic parameters or (2) To increase the concentration of the wild type isoform of 4-coumarate:CoA ligase (Figure 5). The mutant isoform of 4-coumarate:CoA ligase was selected for based on a 2000 paper by Stuible, et al. at the Max Planck Institute who altered three polar amino acids into hydrophobic groups and discovered the 4-coumarate:CoA ligase mutant's affinity for the nonpolar sites of cinnamic acid increased dramatically (3). For all of the kinetics characterized assume all of the enzymes are in equal concentrations, except for the model involving 10x the concentration of the wild type isoform of 4-coumarate:CoA ligase (Figure 5). We chose to investigate both of these methods to insure no ill-conceived reaction kinetics were occurring.

While we have a hypothetical model for the reverse reaction, it is purely speculative as no real world data exists characterizing the reverse reaction rates of the aforementioned enzymes. This also means our model does not account for reverse reaction kinetics due to the lack of available data. We also used kinetic values from a highly conserved variant of Cinnamoyl-CoA reductase called Feruloyl-CoA reductase. Data for the latter was obtained from the Arabidopsis thaliana isoform and is structurally similar enough to act as a proper substitute for Cinnamoyl-CoA reductase (Table 1).

Our model yielded vital information regarding the proper kinetic parameters our team needed to consider in order to establish an efficient, and effective pathway.


Figure 1

Cinnamaldehyde Synthesis Pathway

Cinnamaldehyde Synthesis Pathway‎


Figure 2

Steady State Model of Cinnamaldehyde Production from an L-Phenylalanine Precursor
using the wild type isoform of 4-coumarate:CoA ligase

IGemWildType.jpg


Figure 3

Steady State Model of Cinnamaldehyde Production from an L-Phenylalanine Precursor
using the mutant isoform of 4-coumarate:CoA ligase

IgemMutant.jpg


Figure 4

Steady State Model of Cinnamaldehyde Production from an L-Phenylalanine Precursor
using 10 times the concentration of the wild type isoform of 4-coumarate:CoA ligase

Igem10xConc.jpg


Figure 5

Modeling Source Code

IgemCode.jpg


Table 1

Enzyme Modeling Kinetics and Environmental Conditions

ExcelModelingStats.JPG


References

  1. Mulquiney, P.J., Kuchel, P.W. Modeling Metabolism with Mathematica. CRC Press: 2003.
  2. Schneider, K., Hovel, K., Witzel, K., Hamberger, B., Schombur, D., Kombrink, E., Stuible, H.P. 2003. The substrate specificity-determining amino acid code of 4-coumarate:CoA ligase. PNAS. 100, 8601-8606.
  3. Stuible, H.P., Buttner, D., Ehlting, J., Hahlbrock, K., Kombrink, E. 2000. Mutational analysis of 4-coumarate:CoA ligase identifies functionally important amino acids and verifies its close relationship to other adenylate-forming enzymes. FEBS Letters. 467, 117-122.