Team:XMU-China/Project Modelling mmmodel

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<img id="Project_Application_RBSpromoter_title" class="Project_title" src="https://static.igem.org/mediawiki/2014/0/07/Xmu_Intracellular_model.png"/>
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     <span style="font-family:Arial;font-weight:700;font-size:29px;">MICROSCOPIC MOTION MODEL</span>
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     <span style="font-size: 27px;">MICROSCOPIC MOTION MODEL</span>
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                     \(\frac{{{\rm{dC}}}}{{{\rm{dt}}}} = \frac{{{{\rm{\alpha }}_{\rm{C}}}}}{{1 + {{\left( {{\rm{L}}/{{\rm{\beta }}_{\rm{L}}}} \right)}^{{{\rm{m}}_1}}}}} - {{\rm{\gamma }}_{\rm{C}}} \cdot {\rm{C}}\)
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     <span style="font-family:Arial;font-size:16px;">As a result, </span><span style="font-family:Arial;font-size:16px;">the relation between intracellular and macroscopic motion is built. Thus utilizing all above modeling,</span><span style="font-family:Arial;font-size:16px;"> </span><span style="font-family:Arial;font-size:16px;">we can</span><span style="font-family:Arial;font-size:16px;"> simulate the motion of </span><span style="font-family:Arial;font-style:italic;font-size:16px;">E. coli</span><span style="font-family:Arial;font-size:16px;">. </span><span style="font-family:Arial;font-size:16px;">Meanwhile</span><span style="font-family:Arial;font-size:16px;">, we can predict </span><span style="font-family:Arial;font-size:16px;">any</span><span style="font-family:Arial;font-size:16px;"> </span><span style="font-family:Arial;font-size:16px;">parameter </span><span style="font-family:Arial;font-size:16px;">with </span><span style="font-family:Arial;font-size:16px;">enough measurable parameters</span><span style="font-family:Arial;font-size:16px;"> </span><span style="font-family:Arial;font-size:16px;">given.</span>
     <span style="font-family:Arial;font-size:16px;">As a result, </span><span style="font-family:Arial;font-size:16px;">the relation between intracellular and macroscopic motion is built. Thus utilizing all above modeling,</span><span style="font-family:Arial;font-size:16px;"> </span><span style="font-family:Arial;font-size:16px;">we can</span><span style="font-family:Arial;font-size:16px;"> simulate the motion of </span><span style="font-family:Arial;font-style:italic;font-size:16px;">E. coli</span><span style="font-family:Arial;font-size:16px;">. </span><span style="font-family:Arial;font-size:16px;">Meanwhile</span><span style="font-family:Arial;font-size:16px;">, we can predict </span><span style="font-family:Arial;font-size:16px;">any</span><span style="font-family:Arial;font-size:16px;"> </span><span style="font-family:Arial;font-size:16px;">parameter </span><span style="font-family:Arial;font-size:16px;">with </span><span style="font-family:Arial;font-size:16px;">enough measurable parameters</span><span style="font-family:Arial;font-size:16px;"> </span><span style="font-family:Arial;font-size:16px;">given.</span>
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<p>Want to see more modellings: <a href="https://2014.igem.org/Team:XMU-China/Project_Modelling_sdmodel" target="_blank">Macroscopic Stimulus Diffusion Model</a href="https://2014.igem.org/Team:XMU-China/Project_Modelling_sdmodel" target="_blank">, <a href="https://2014.igem.org/Team:XMU-China/Project_Modelling_Intracellularmodel" target="_blank">Macroscopic Intracellular Model</a href="https://2014.igem.org/Team:XMU-China/Project_Modelling_Intracellularmodel" target="_blank"> .</p>
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     <span style="font-family:Times New Roman,宋体;">1.</span><span style="font-family:Times New Roman,宋体;"> </span><span style="font-family:Arial;font-size:16px;">Tindall, M. J., Porter, S. L., Wadhams, G. H., Maini, P. K. &amp; Armitage, J. P. Spatiotemporal modelling of </span><span style="font-family:Arial;font-size:16px;">cheY</span><span style="font-family:Arial;font-size:16px;"> complexes in Escherichia coli chemotaxis. </span><span style="font-family:Arial;font-style:italic;font-size:16px;">Prog. Biophys. Mol. Biol.</span><span style="font-family:Arial;font-size:16px;"> </span><span style="font-family:Arial;font-weight:700;font-size:16px;">100,</span><span style="font-family:Arial;font-size:16px;"> 40–46 (2009)</span>
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     <a href="http://www.ncbi.nlm.nih.gov/pubmed/?term=Spatiotemporal+modelling+of+cheY+complexes+in+Escherichia+coli+chemotaxis" target="_blank">1. Tindall, M. J., Porter, S. L., Wadhams, G. H., Maini, P. K. & Armitage, J. P. Spatiotemporal modelling of cheY complexes in Escherichia coli chemotaxis. Prog. Biophys. Mol. Biol. 100, 40–46 (2009)</a>
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    <span style="styleName:Hyperlink;color:#0563C1;text-decoration:underline;styleName:Default Paragraph Font;font-family:Arial;font-size:16px;">http://www.ncbi.nlm.nih.gov/pubmed/?term=Spatiotemporal+modelling+of+</span><span style="styleName:Hyperlink;color:#0563C1;text-decoration:underline;styleName:Default Paragraph Font;font-family:Arial;font-size:16px;">cheY</span><span style="styleName:Hyperlink;color:#0563C1;text-decoration:underline;styleName:Default Paragraph Font;font-family:Arial;font-size:16px;">+complexes+in+Escherichia+coli+chemotaxis.</span>
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<p style="font-family:Arial;font-size:16px;styleName:List Paragraph;text-indent:2em;styleName:Normal;font-size:14px;text-align:justify;margin-left:28px;text-indent:-28px;">
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    <span style="font-family:Times New Roman,宋体;">2.</span><span style="font-family:Times New Roman,宋体;"> </span><span style="styleName:Hyperlink;color:#0563C1;text-decoration:underline;styleName:Default Paragraph Font;font-family:Arial;font-size:16px;">www.pdn.cam.ac.uk/groups/comp-cell/Rates.html</span>
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  <a href="www.pdn.cam.ac.uk/groups/comp-cell/Rates.html" target="_blank">2. www.pdn.cam.ac.uk/groups/comp-cell/Rates.html</a>
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<p style="font-family:Arial;font-size:16px;styleName:List Paragraph;text-indent:2em;styleName:Normal;font-size:14px;text-align:justify;margin-left:28px;text-indent:-28px;">
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     <span style="font-family:Times New Roman,宋体;">3.</span><span style="font-family:Times New Roman,宋体;"> </span><span style="font-family:Arial;font-size:16px;">Silversmith, R., Levin, M., Schilling, E., Bourret, R., 2008. Kinetic characterization of catalysis by the chemotaxis phosphatase </span><span style="font-family:Arial;font-size:16px;">cheZ</span><span style="font-family:Arial;font-size:16px;">. J. Biol. Chem. 283, 756–765.</span>
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     <a href="http://www.ncbi.nlm.nih.gov/pubmed/?term=Kinetic+characterization+of+catalysis+by+the+chemotaxis+phosphatase+cheZ" target="_blank">3. Silversmith, R., Levin, M., Schilling, E., Bourret, R., 2008. Kinetic characterization of catalysis by the chemotaxis phosphatase cheZ. J. Biol. Chem. 283, 756–765.</a>
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    <span style="styleName:Hyperlink;color:#0563C1;text-decoration:underline;styleName:Default Paragraph Font;font-family:Arial;font-size:16px;">http://www.ncbi.nlm.nih.gov/pubmed/?term=Kinetic+characterization+of+catalysis+by+the+chemotaxis+phosphatase+</span><span style="styleName:Hyperlink;color:#0563C1;text-decoration:underline;styleName:Default Paragraph Font;font-family:Arial;font-size:16px;">cheZ</span>
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<p style="font-family:Arial;font-size:16px;styleName:List Paragraph;text-indent:2em;styleName:Normal;font-size:14px;text-align:justify;margin-left:28px;text-indent:-28px;">
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     <span style="font-family:Times New Roman,宋体;">4.</span><span style="font-family:Times New Roman,宋体;"> </span><span style="font-family:Arial;font-size:16px;">Sourjik, V., Berg, H., 2002a. Binding of the Escherichia coli response regulator </span><span style="font-family:Arial;font-size:16px;">cheY</span><span style="font-family:Arial;font-size:16px;"> to its target measured in vivo by fluorescence resonance energy transfer. Proc. Natl. Acad. Sci. U.S.A. 99, 12669–12674.</span>
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     <a href="http://www.ncbi.nlm.nih.gov/pubmed/?term=Binding+of+the+Escherichia+coli+response+regulator+cheY+to+its+target+measured+in+vivo+by+fluorescence+resonance+energy+transfer" target="_blank">4. Sourjik, V., Berg, H., 2002a. Binding of the Escherichia coli response regulator cheY to its target measured in vivo by fluorescence resonance energy transfer. Proc. Natl. Acad. Sci. U.S.A. 99, 12669–12674.</a>
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    <span style="styleName:Hyperlink;color:#0563C1;text-decoration:underline;styleName:Default Paragraph Font;font-family:Arial;font-size:16px;">http://www.ncbi.nlm.nih.gov/pubmed/?term=Binding+of+the+Escherichia+</span><span style="styleName:Hyperlink;color:#0563C1;text-decoration:underline;styleName:Default Paragraph Font;font-family:Arial;font-size:16px;">coli+response+regulator+</span><span style="styleName:Hyperlink;color:#0563C1;text-decoration:underline;styleName:Default Paragraph Font;font-family:Arial;font-size:16px;">cheY</span><span style="styleName:Hyperlink;color:#0563C1;text-decoration:underline;styleName:Default Paragraph Font;font-family:Arial;font-size:16px;">+to+its+target+measured+in+vivo+by+fluorescence+resonance+energy+transfer</span>
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<p style="font-family:Arial;font-size:16px;styleName:List Paragraph;text-indent:2em;styleName:Normal;font-size:14px;text-align:justify;margin-left:28px;text-indent:-28px;">
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    <span style="font-family:Times New Roman,宋体;">5.</span><span style="font-family:Times New Roman,宋体;"> </span><span style="font-family:Arial;font-size:16px;">Y. S. Dufour, X. Fu, L. Hernandez-Nunez, and T. monet, “Limits of Feedback Control in Bacterial Chemotaxis,” </span><span style="font-family:Arial;font-style:italic;font-size:16px;">PLoS Comput. Biol</span><span style="font-family:Arial;font-size:16px;">., vol. 10, 2014</span>
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  <a href="http://www.ncbi.nlm.nih.gov/pubmed/?term=Limits+of+Feedback+Control+in+Bacterial+Chemotaxis" target="_blank">5. Y. S. Dufour, X. Fu, L. Hernandez-Nunez, and T. monet, “Limits of Feedback Control in Bacterial Chemotaxis,” PLoS Comput. Biol., vol. 10, 2014</a>
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    <span style="styleName:Hyperlink;color:#0563C1;text-decoration:underline;styleName:Default Paragraph Font;font-family:Arial;font-size:16px;">http://www.ncbi.nlm.nih.gov/pubmed/?term=Limits+of+Feedback+Control+in+Bacterial+Chemotaxis</span>
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Latest revision as of 03:46, 18 October 2014

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MICROSCOPIC MOTION MODEL


Flagella can rotate in two ways: clockwise (CW) and counter-clockwise (CCW). The both determine the motion of E. coli. When FliM binds with cheY-P, the flagella rotate CW and the bacterium moves more randomly which seems that E. coli is tumbling. On the other hand, when the dephosphated cheY binds with FliM, the flagella rotate CCW and bacterium swims smooth. At the macro level, they run in certain direction.


cheZ and cheA control the level of phosphorylation of cheY. cheZ dephosphates cheY-P while cheA phosphates cheY. Reaction can be described using the following equations .With steady state approximation, the concentration ratio of cheY to cheY-P could be calculated (Table 2).



Table 1. Flagella’ motion



It has been reported that the concentration of cheY-P can be used to predict drift velocity of E. coli. [7] By given concentration of cheZ and equations above, we can calculate the concentration ratio of cheY to cheY-P. While the concentration of cheY-P can be calculated by given cheZ (ZT). The motion caused by chemotaxis can be predicted by following equation. With following equation, drift velocity could be calculated.


\(\frac{{{\rm{dC}}}}{{{\rm{dt}}}} = \frac{{{{\rm{\alpha }}_{\rm{C}}}}}{{1 + {{\left( {{\rm{L}}/{{\rm{\beta }}_{\rm{L}}}} \right)}^{{{\rm{m}}_1}}}}} - {{\rm{\gamma }}_{\rm{C}}} \cdot {\rm{C}}\)


(5)


As a result, the relation between intracellular and macroscopic motion is built. Thus utilizing all above modeling, we can simulate the motion of E. coli. Meanwhile, we can predict any parameter with enough measurable parameters given.


Want to see more modellings: Macroscopic Stimulus Diffusion Model, Macroscopic Intracellular Model .



References


1. Tindall, M. J., Porter, S. L., Wadhams, G. H., Maini, P. K. & Armitage, J. P. Spatiotemporal modelling of cheY complexes in Escherichia coli chemotaxis. Prog. Biophys. Mol. Biol. 100, 40–46 (2009)

2. www.pdn.cam.ac.uk/groups/comp-cell/Rates.html

3. Silversmith, R., Levin, M., Schilling, E., Bourret, R., 2008. Kinetic characterization of catalysis by the chemotaxis phosphatase cheZ. J. Biol. Chem. 283, 756–765.

4. Sourjik, V., Berg, H., 2002a. Binding of the Escherichia coli response regulator cheY to its target measured in vivo by fluorescence resonance energy transfer. Proc. Natl. Acad. Sci. U.S.A. 99, 12669–12674.

5. Y. S. Dufour, X. Fu, L. Hernandez-Nunez, and T. monet, “Limits of Feedback Control in Bacterial Chemotaxis,” PLoS Comput. Biol., vol. 10, 2014