Difference between revisions of "Team:KU Leuven/Modeling"

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  Patterns are fascinating, from the veins of a leaf to the spots on a zebra, from a single cell to a whole organism. Patterns  are found everywhere in nature, but how these are formed is not entirely clear. We, the KU Leuven 2015 iGEM team, decided to work on the fundamental mechanisms behind pattern formation. The way cells interact to generate a specific pattern has triggered our curiosity and added a new dimension to the way the patterns are looked upon. Our mission is to create different and astonishing biological patterns with engineered bacteria for a better understanding of nature with the prospect of applying the knowledge in industry.<br/>
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The fascinating properties of pattern creating bacteria may be translated into the language of mathematics. In this subsection we are investigating the mathematics behind the behaviour of the genetically modified organisms created in the wetlab. We do so using a layered approach, colony level modelling uses partial differential equations to describe large cell groups which are treated as a continuum. Internal level modelling is used to describe the interactions that happen within single cells. Finally the hybrid model merges the two approaches into a  
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<a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top">Read more</a>
 
<a href="https://2015.igem.org/Team:KU_Leuven/Modeling/Top">Read more</a>
 
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Revision as of 12:09, 27 July 2015

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Modeling

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The fascinating properties of pattern creating bacteria may be translated into the language of mathematics. In this subsection we are investigating the mathematics behind the behaviour of the genetically modified organisms created in the wetlab. We do so using a layered approach, colony level modelling uses partial differential equations to describe large cell groups which are treated as a continuum. Internal level modelling is used to describe the interactions that happen within single cells. Finally the hybrid model merges the two approaches into a
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Colony level model

Our colony layer model relies on a Keller-Segel type system of differential equations. These equations are simulated using finite differences.
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Hybrid model

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Internal model

Coming Soon