Difference between revisions of "Team:KU Leuven/Modeling"
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{{KU_Leuven/css}} | {{KU_Leuven/css}} | ||
− | + | <html> | |
− | <html> | + | |
− | < | + | <script> |
− | + | $(document).onload(function () { | |
− | + | $(".main-navm").hide(); | |
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− | + | ||
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− | + | <style> | |
− | + | ||
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− | + | ||
− | #content { | + | #topimg { |
− | + | background: url("https://static.igem.org/mediawiki/2015/1/19/KUL_Chameleon_stripes.jpg") no-repeat center center fixed; | |
− | } | + | background-size:contain -webkit-background-size: cover; |
+ | -moz-background-size: cover; | ||
+ | -o-background-size: cover; | ||
+ | background-size: cover; | ||
+ | } | ||
+ | #modeling { | ||
+ | background-color: transparent; | ||
+ | border-style: solid; | ||
+ | border: 0 solid transparent; | ||
+ | border-bottom: 5px solid #8b7a57; | ||
+ | } | ||
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+ | /* this is active when your mouse moves is over the item */ | ||
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+ | .main-navm:hover #modeling { | ||
+ | /* this is active when your mouse moves is over the item */ | ||
+ | border: 0 solid transparent; | ||
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+ | } | ||
+ | @media screen and (max-width: 1000px) {#modeling { | ||
+ | border-bottom: 5px solid transparent; | ||
+ | border-right: 5px solid #8b7a57; | ||
+ | } | ||
+ | } | ||
+ | #content { | ||
+ | background-color: transparent; | ||
+ | } | ||
+ | </style> | ||
+ | <head> | ||
+ | <link href="https://static.igem.org/mediawiki/2015/9/9c/Ku_Leuven_Favicon.gif" | ||
+ | rel="icon"/> | ||
+ | <link / </head | ||
+ | href="https://static.igem.org/mediawiki/2015/9/9c/Ku_Leuven_Favicon.gif" | ||
+ | rel="shortcut icon"> | ||
+ | <body> | ||
+ | <div id="headimg"> | ||
+ | <div id="topimg"></div> | ||
− | </ | + | <div id="hiddenimg"> |
− | < | + | <img src="https://static.igem.org/mediawiki/2015/b/bb/KU_Leuven_Zebra2.PNG" |
+ | width="100%"> | ||
+ | </div> | ||
+ | </div> | ||
+ | <div id="summarywrapper"> | ||
+ | <div id="logowrapper"> | ||
+ | <div id="logoiGEMKUL"> | ||
+ | <img alt="Logo" | ||
+ | src="https://static.igem.org/mediawiki/2015/2/23/Team_KU_Leuven_banner.jpg" | ||
+ | width="100%"> | ||
+ | </div> | ||
− | <div id=" | + | <div id="center"> |
− | <div id=" | + | <div id="pagetitle"> |
− | </div> | + | <h2>Modeling</h2> |
+ | </div> | ||
− | <div id=" | + | <div class="center" id="scrolldown"> |
− | + | <img alt="Scroll down" | |
− | </div> | + | src="https://static.igem.org/mediawiki/2015/1/1d/KU_Leuven_Arrows_wiki.png" |
+ | width="100%"> | ||
+ | </div> | ||
− | + | </div> | |
− | + | ||
− | + | ||
− | </div> | + | |
− | <div id=" | + | <div id="summarylogos"> |
− | + | ||
− | + | ||
− | + | ||
− | <div id=" | + | <div id="summarylogotwitter"> |
+ | <a height="100%" href="https://twitter.com/kuleuven_igem"><img alt="Twitter" | ||
+ | src="https://static.igem.org/mediawiki/2015/b/b8/KU_Leuven_Twitter-logo.png" | ||
+ | width="100%"></a> | ||
+ | </div> | ||
− | <div id=" | + | <div id="summarylogofacebook"> |
− | <a href="https:// | + | <a alt="Facebook" height="50px" |
− | </div> | + | href="https://www.facebook.com/KULeuveniGEM?fref=ts"><img alt="mail" src="https://static.igem.org/mediawiki/2015/d/df/KU_Leuven_Fblogo.png" |
+ | width="100%"></a> | ||
+ | </div> | ||
− | <div id=" | + | <div id="summarylogomail"> |
− | <a href=" | + | <a href="mailto:igem@chem.kuleuven.be"><img alt="mail" src="https://static.igem.org/mediawiki/2015/1/11/KU_Leuven_mail.png" |
− | </div> | + | width="100%"></a> |
+ | </div> | ||
+ | </div> | ||
+ | </div> | ||
− | <div | + | <div class="summary"> |
− | <a | + | <p> |
− | </div> | + | 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. | ||
+ | </p> | ||
+ | <br/> | ||
+ | <br/> | ||
+ | <br/> | ||
+ | <br/> | ||
+ | </div> | ||
− | < | + | <div class="subsections"> |
− | </div> | + | <div class="subsectionwrapper"> |
+ | <div class="subimgrow"> | ||
+ | |||
+ | <div class="subimg"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | ||
+ | <img | ||
+ | src="https://static.igem.org/mediawiki/2015/6/6a/KU_Leuven_Wiki_Button_-_Colony_level2.png" | ||
+ | width="100%"></a> | ||
+ | </div> | ||
+ | <div class="whitespace"></div> | ||
+ | <div class="subimg"> | ||
+ | <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" | ||
+ | width="100%"></a> | ||
+ | </div> | ||
− | + | <div class="whitespace"></div> | |
− | <div class=" | + | |
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | </div> | + | |
− | <div class=" | + | <div class="subimg"> |
− | < | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Internal"> |
− | + | <img | |
− | + | src="https://static.igem.org/mediawiki/2015/4/47/KU_Leuven_Wiki_Button_-_Internal_model2.png" | |
− | + | width="100%"></a> | |
− | </div> | + | </div> |
− | <div class="whitespace"> | + | <div class="whitespace"></div> |
− | </div> | + | |
− | <div class="subimg"> | + | <div class="subimg"> |
− | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Toulouse"> | |
− | </div> | + | <img src="https://static.igem.org/mediawiki/2015/b/b1/KU_Leuven_Wiki_Button_Flux2.png" |
+ | width="100%"></a> | ||
+ | </div> | ||
− | + | ||
− | </div> | + | </div> |
− | <div class=" | + | <div class="subtextrow"> |
− | + | ||
− | </ | + | <div class="subtext"> |
− | </div> | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> |
+ | <h2>Colony</h2> | ||
+ | <p> | ||
+ | Our colony layer model relies on a Keller-Segel type system of partial differential | ||
+ | equations. These equations are simulated using finite differences. | ||
+ | |||
+ | </p> | ||
+ | </a> | ||
+ | </div> | ||
− | <div class=" | + | <div class="whitespace"></div> |
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | </div> | + | |
− | <div class=" | + | <div class="subtext"> |
− | </div> | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Hybrid"> |
+ | <h2>Hybrid</h2> | ||
+ | <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> | ||
+ | </a> | ||
+ | </div> | ||
− | <div class=" | + | <div class="whitespace"></div> |
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | </div> | + | |
− | <div class=" | + | <div class="subtext"> |
− | </div> | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Internal"> |
+ | <h2>Internal</h2> | ||
+ | <p>Our internal model aims to simulate the internal dynamics of every cell with a system of ordinary differential equations. </p> | ||
+ | </a> | ||
+ | </div> | ||
− | <div class="subtext"> | + | <div class="whitespace"></div> |
− | + | ||
− | + | <div class="subtext"> | |
− | <br/> | + | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Toulouse"> |
− | <a href="https://2015.igem.org/Team:KU_Leuven/ | + | <h2>FBA (Toulouse)</h2> |
− | </p> | + | <p> |
+ | As a part of our modeling cooperation we exchanged models with the Toulouse | ||
+ | team. This is the flux balance analysis they performed for us.<br/> | ||
+ | </p> | ||
+ | </a> | ||
+ | </div> | ||
+ | |||
+ | </div> | ||
+ | |||
+ | <div class="subimgreadmore"> | ||
+ | |||
+ | <div class="subimgrm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | ||
+ | <div id="more"> | ||
+ | <img alt="Read more" height="40%" | ||
+ | src="https://static.igem.org/mediawiki/2015/7/73/KUL_Wiki_Button_-_Read_more.png" | ||
+ | width="85%"> | ||
+ | </div> | ||
+ | </a> | ||
+ | </div> | ||
+ | |||
+ | <div class="whitespace"></div> | ||
+ | |||
+ | <div class="subimgrm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Hybrid"> | ||
+ | <div id="more"> | ||
+ | <img alt="Read more" height="40%" | ||
+ | src="https://static.igem.org/mediawiki/2015/7/73/KUL_Wiki_Button_-_Read_more.png" | ||
+ | width="85%"> | ||
+ | </div> | ||
+ | </a> | ||
+ | </div> | ||
+ | |||
+ | <div class="whitespace"></div> | ||
+ | |||
+ | <div class="subimgrm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Internal"> | ||
+ | <div id="more"> | ||
+ | <img alt="Read more" height="40%" | ||
+ | src="https://static.igem.org/mediawiki/2015/7/73/KUL_Wiki_Button_-_Read_more.png" | ||
+ | width="85%"> | ||
+ | </div> | ||
+ | </a> | ||
+ | </div> | ||
+ | <div class="whitespace"></div> | ||
+ | |||
+ | <div class="subimgrm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Toulouse"> | ||
+ | <div id="more"> | ||
+ | <img alt="Read more" height="40%" | ||
+ | src="https://static.igem.org/mediawiki/2015/7/73/KUL_Wiki_Button_-_Read_more.png" | ||
+ | width="85%"> | ||
+ | </div> | ||
+ | </a> | ||
+ | |||
+ | </div> | ||
+ | |||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | <div class="subimgrowm"> | ||
+ | <div class="subimgm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | ||
+ | <b>Colony</b> | ||
+ | <img | ||
+ | src="https://static.igem.org/mediawiki/2015/6/6a/KU_Leuven_Wiki_Button_-_Colony_level2.png" | ||
+ | width="100%"></a> | ||
+ | </div> | ||
+ | |||
+ | <div class="whitespace"></div> | ||
+ | |||
+ | <div class="subtextm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top"> | ||
+ | <p> | ||
+ | Our colony layer model relies on a Keller-Segel type system of differential | ||
+ | equations. These equations are simulated using finite differences. | ||
+ | <br/> | ||
+ | </p> | ||
+ | </a> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | <div class="subimgrowm"> | ||
+ | <div class="whiterow"></div> | ||
+ | </div> | ||
+ | |||
+ | <div class="subimgrowm"> | ||
+ | <div class="subimgm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Hybrid"> | ||
+ | <b>Hybrid</b> | ||
+ | <img | ||
+ | src="https://static.igem.org/mediawiki/2015/0/02/KU_Leuven_Wiki_Button_-_Hybrid_model2.png" | ||
+ | width="100%"></a> | ||
+ | </div> | ||
+ | |||
+ | <div class="whitespace"></div> | ||
+ | |||
+ | <div class="subtextm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Hybrid"> | ||
+ | <p> | ||
+ | Our hybrid model merges both colony and internal level to define the cell-cell | ||
+ | interactions of our pattern forming cells. | ||
+ | </p> | ||
+ | </a> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | <div class="subimgrowm"> | ||
+ | <div class="whiterow"></div> | ||
+ | </div> | ||
+ | |||
+ | <div class="subimgrowm"> | ||
+ | <div class="subimgm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Internal"> | ||
+ | <b>Internal</b> | ||
+ | <img | ||
+ | src="https://static.igem.org/mediawiki/2015/4/47/KU_Leuven_Wiki_Button_-_Internal_model2.png" | ||
+ | width="100%"></a> | ||
+ | </div> | ||
+ | |||
+ | <div class="whitespace"></div> | ||
+ | |||
+ | <div class="subtextm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Internal"> | ||
+ | <p>Our internal model aims to simulate the internal dynamics of every cell with a system of ordinary differential equations. | ||
+ | </p> | ||
+ | </a> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | <div class="subimgrowm"> | ||
+ | <div class="whiterow"></div> | ||
+ | </div> | ||
+ | |||
+ | <div class="subimgrowm"> | ||
+ | |||
+ | <div class="subimgm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Toulouse"> | ||
+ | <b>FBA (Toulouse)</b> | ||
+ | <img src="https://static.igem.org/mediawiki/2015/b/b1/KU_Leuven_Wiki_Button_Flux2.png" | ||
+ | width="100%"> | ||
+ | </a> | ||
+ | </div> | ||
+ | |||
+ | <div class="whitespace"></div> | ||
+ | |||
+ | <div class="subtextm"> | ||
+ | <a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Toulouse"> | ||
+ | <p> | ||
+ | As a part of our modeling cooperation we exchanged models with the Toulouse | ||
+ | team. This is the flux balance analysis they performed for us.<br/> | ||
+ | </p> | ||
+ | </a> | ||
+ | </div> | ||
+ | |||
+ | </div> | ||
+ | |||
+ | |||
+ | </div> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | <div id="summarywrapper"> | ||
+ | <div class="summary"> | ||
+ | <h3> | ||
+ | Contact | ||
+ | </h3> | ||
+ | <p style="font-size:1.3em; text-align: center"> | ||
+ | Address: Celestijnenlaan 200G room 00.08 - 3001 Heverlee<br> | ||
+ | Telephone: +32(0)16 32 73 19<br> | ||
+ | Email: igem@chem.kuleuven.be<br> | ||
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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.
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