Difference between revisions of "Team:KU Leuven/Modeling"
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<div class="summary"> | <div class="summary"> | ||
<p> | <p> | ||
− | The fascinating properties of pattern creating bacteria | + | The fascinating properties of pattern creating bacteria can be translated into |
− | the language of mathematics. In this subsection we | + | the language of mathematics. In this subsection we investigate the |
− | equations behind the | + | equations behind the behavior of the genetically modified organisms created in |
− | the wetlab. | + | the wetlab. For this purpose, a layered approach seems appropriate. Colony level modeling employs |
partial differential equations to describe large cell groups which are treated | partial differential equations to describe large cell groups which are treated | ||
as a continuum. Internal level models describe the interactions that happen | as a continuum. Internal level models describe the interactions that happen | ||
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<div class="subsectionwrapper"> | <div class="subsectionwrapper"> | ||
<div class="subimgrow"> | <div class="subimgrow"> | ||
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<div class="subimg"> | <div class="subimg"> | ||
<a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | ||
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− | <img | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Hybrid"> |
+ | <img | ||
src="https://static.igem.org/mediawiki/2015/0/02/KU_Leuven_Wiki_Button_-_Hybrid_model2.png" | src="https://static.igem.org/mediawiki/2015/0/02/KU_Leuven_Wiki_Button_-_Hybrid_model2.png" | ||
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</div> | </div> | ||
<div class="subtextrow"> | <div class="subtextrow"> | ||
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<div class="subtext"> | <div class="subtext"> | ||
<a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | ||
− | <h2>Colony | + | <h2>Colony</h2> |
<p> | <p> | ||
− | Our colony layer model relies on a Keller-Segel type system of differential | + | Our colony layer model relies on a Keller-Segel type system of partial differential |
equations. These equations are simulated using finite differences. | equations. These equations are simulated using finite differences. | ||
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</p> | </p> | ||
</a> | </a> | ||
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− | <a href=""> | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Hybrid"> |
− | <h2>Hybrid | + | <h2>Hybrid</h2> |
− | <p> | + | <p>The hybrid model represents an intermediate level of detail in between the colony level model and the internal model. Bacteria are treated as individual agents, while chemical species are modeled using partial differential equations. </p> |
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</a> | </a> | ||
</div> | </div> | ||
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<div class="subtext"> | <div class="subtext"> | ||
− | <a href="Modeling/Internal"> | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Internal"> |
− | <h2>Internal | + | <h2>Internal</h2> |
− | <p> | + | <p>Our internal model aims to simulate the internal dynamics of every cell with a system of ordinary differential equations. </p> |
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</a> | </a> | ||
</div> | </div> | ||
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<a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Toulouse"> | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Toulouse"> | ||
− | <h2> | + | <h2>FBA (Toulouse)</h2> |
<p> | <p> | ||
As a part of our modeling cooperation we exchanged models with the Toulouse | As a part of our modeling cooperation we exchanged models with the Toulouse | ||
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</a> | </a> | ||
</div> | </div> | ||
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</div> | </div> | ||
<div class="subimgreadmore"> | <div class="subimgreadmore"> | ||
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<div class="subimgrm"> | <div class="subimgrm"> | ||
<a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | ||
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− | <a href="https://2015.igem.org/Team:KU_Leuven/"> | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Hybrid"> |
<div id="more"> | <div id="more"> | ||
<img alt="Read more" height="40%" | <img alt="Read more" height="40%" | ||
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</a> | </a> | ||
</div> | </div> | ||
− | <div class=" | + | <div class="whitespace"></div> |
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</a> | </a> | ||
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</div> | </div> | ||
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<div class="subimgm"> | <div class="subimgm"> | ||
<a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | ||
− | <b>Colony | + | <b>Colony</b> |
<img | <img | ||
src="https://static.igem.org/mediawiki/2015/6/6a/KU_Leuven_Wiki_Button_-_Colony_level2.png" | src="https://static.igem.org/mediawiki/2015/6/6a/KU_Leuven_Wiki_Button_-_Colony_level2.png" | ||
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<div class="subimgrowm"> | <div class="subimgrowm"> | ||
<div class="subimgm"> | <div class="subimgm"> | ||
− | <b>Hybrid | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Hybrid"> |
+ | <b>Hybrid</b> | ||
<img | <img | ||
src="https://static.igem.org/mediawiki/2015/0/02/KU_Leuven_Wiki_Button_-_Hybrid_model2.png" | src="https://static.igem.org/mediawiki/2015/0/02/KU_Leuven_Wiki_Button_-_Hybrid_model2.png" | ||
− | width="100%"> | + | width="100%"></a> |
</div> | </div> | ||
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<div class="subtextm"> | <div class="subtextm"> | ||
− | <a href=""> | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Hybrid"> |
<p> | <p> | ||
− | + | Our hybrid model merges both colony and internal level to define the cell-cell | |
− | + | interactions of our pattern forming cells. | |
</p> | </p> | ||
</a> | </a> | ||
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<div class="subimgrowm"> | <div class="subimgrowm"> | ||
<div class="subimgm"> | <div class="subimgm"> | ||
− | <b>Internal | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Internal"> |
+ | <b>Internal</b> | ||
<img | <img | ||
src="https://static.igem.org/mediawiki/2015/4/47/KU_Leuven_Wiki_Button_-_Internal_model2.png" | src="https://static.igem.org/mediawiki/2015/4/47/KU_Leuven_Wiki_Button_-_Internal_model2.png" | ||
− | width="100%"> | + | width="100%"></a> |
</div> | </div> | ||
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− | <a href=""> | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Internal"> |
− | <p> | + | <p>Our internal model aims to simulate the internal dynamics of every cell with a system of ordinary differential equations. |
− | + | ||
− | + | ||
</p> | </p> | ||
</a> | </a> | ||
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+ | <div class="subimgrowm"> | ||
+ | <div class="whiterow"></div> | ||
+ | </div> | ||
<div class="subimgrowm"> | <div class="subimgrowm"> | ||
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<a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Toulouse"> | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Toulouse"> | ||
− | <b> | + | <b>FBA (Toulouse)</b> |
<img src="https://static.igem.org/mediawiki/2015/b/b1/KU_Leuven_Wiki_Button_Flux2.png" | <img src="https://static.igem.org/mediawiki/2015/b/b1/KU_Leuven_Wiki_Button_Flux2.png" | ||
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width="95%"></a> | width="95%"></a> | ||
</div> | </div> | ||
+ | <div id="saillart"> | ||
+ | <a href="http://www.glasatelier-saillart.be/English/english.html"><img src="https://static.igem.org/mediawiki/2015/c/ce/KU_Leuven_Sponsor_Saillard.png" alt="Glasatelier Saillart" width="95%"></a> | ||
+ | </div> | ||
<div id="kuleuven"> | <div id="kuleuven"> | ||
<a href="http://www.kuleuven.be/english"><img alt="bioSCENTer" | <a href="http://www.kuleuven.be/english"><img alt="bioSCENTer" | ||
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<a><img alt="Ko-Lo Instruments" | <a><img alt="Ko-Lo Instruments" | ||
src="https://static.igem.org/mediawiki/2015/1/15/KUL_Ko-Lo_Instruments_logo_transparant.png" | src="https://static.igem.org/mediawiki/2015/1/15/KUL_Ko-Lo_Instruments_logo_transparant.png" | ||
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− | + | <div class="logonormal"> | |
− | + | <div id="regensys"> | |
− | + | <a href="http://regenesys.eu/"><img src="https://static.igem.org/mediawiki/2015/e/eb/KU_Leuven_Logo_Regenesys_Transparant.png" alt="Regenesys" width="95%"></a> | |
− | + | </div> | |
− | + | <div class="whiterow"></div> | |
− | + | <div id="thermofisher"> | |
− | + | <a href="https://www.fishersci.com/us/en/home.html"><img src="https://static.igem.org/mediawiki/2015/a/aa/KUL_Fischer_Scientific_logo_transparant.png" alt="Thermo Fisher Scientific" width="95%"></a> | |
− | + | </div> | |
− | + | </div> | |
− | + | <div class="logonormal2"> | |
− | + | <div id="vwr"> | |
+ | <a href="https://be.vwr.com/store/?&_requestid=866148&_DARGS=/store/cms/be.vwr.com/nl_BE/header_20159241139103.jsp.1_AF&_dynSessConf=4047468000326453053&targetURL=/store/%3F%26_requestid%3D866148&lastLanguage=en&/vwr/userprofiling/EditPersonalInfoFormHandler.updateLocale=&_D%3AcurrentLanguage=+¤tLanguage=en&_D%3AlastLanguage=+&_D%3A/vwr/userprofiling/EditPersonalInfoFormHandler.updateLocale=+"><img src="https://static.igem.org/mediawiki/2015/8/8d/KU_Leuven_Logo_VWR_transparant_.png" alt="VWR" width="95%"></a> | ||
+ | </div> | ||
+ | <div class = "whiterow"></div> | ||
+ | <div id="lgc"> | ||
+ | <a href="http://www.lgcgroup.com/our-science/genomics-solutions/#.Vfx9V9yLTIU"> | ||
+ | <img src="https://static.igem.org/mediawiki/2015/e/e6/KU_Leuven_LOGO_LGC.png" alt="LGC Genomics" width="80%"> | ||
+ | </a> | ||
+ | </div> | ||
+ | </div> | ||
<div id="footerimg"> | <div id="footerimg"> | ||
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− | + | <div id="gimv"> | |
− | + | <a href="http://www.gimv.com/en"><img src="https://static.igem.org/mediawiki/2015/a/ac/KU_Leuven_Logo_Gimv_Transparant.png" alt="Gimv" width="95%"></a> | |
− | + | </div> | |
− | + | <div class = "whiterow"></div> | |
+ | <div id="sopach"> | ||
+ | <a href="http://www.sopachem.com/"><img src="https://static.igem.org/mediawiki/2015/5/55/KU_Leuven_Sopachem.jpeg" alt="Sopachem" width="95%"></a> | ||
+ | </div> | ||
+ | </div> | ||
<div id="machery"> | <div id="machery"> | ||
<a href="http://www.filterservice.be/"><img alt="Machery Nagel" | <a href="http://www.filterservice.be/"><img alt="Machery Nagel" | ||
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</div> | </div> | ||
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− | + | <a href="https://www.sigmaaldrich.com/belgium-nederlands.html"><img src="https://static.igem.org/mediawiki/2015/4/4b/KUL_Sigma-Aldrich_logo_transparant.png" alt="Sigma-Aldrich" width="95%"></a> | |
− | + | </div> | |
− | + | <div class="whiterow"></div> | |
− | + | <div id="egilab"> | |
− | + | <a href="http://www.egilabo.be/"><img src="https://static.igem.org/mediawiki/2015/e/e9/KUL_Egilabo_logo_transparant.png" alt="Egilabo" width="95%"></a> | |
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− | + | <div id="novolab"> | |
− | + | <a href="https://www.novolab.be/"><img src="https://static.igem.org/mediawiki/2015/4/4c/KU_Leuven_Novalab.png" alt="Novolab" height="95%"></a> | |
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</body> | </body> | ||
</html> | </html> |
Latest revision as of 09:37, 20 October 2015
The fascinating properties of pattern creating bacteria can be translated into the language of mathematics. In this subsection we investigate the equations behind the behavior of the genetically modified organisms created in the wetlab. For this purpose, a layered approach seems appropriate. Colony level modeling employs partial differential equations to describe large cell groups which are treated as a continuum. Internal level models describe the interactions that happen within single cells. Finally the hybrid model merges the two approaches into a final description of our pattern forming cells.
Contact
Address: Celestijnenlaan 200G room 00.08 - 3001 Heverlee
Telephone: +32(0)16 32 73 19
Email: igem@chem.kuleuven.be