Difference between revisions of "Team:Warwick/Modelling6"
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| − | <p> | + | <p>________________________________________________________________________________________________________________________________________________</p><h5>Stochastic Modelling for Cell Growth</h5> |
We wanted to understand how the placement of cells changes as time progresses. Cells divide, roughly in the same direction in which they were formed. To model cell division we imagined them situated on a Cartesian coordinate system, and division to place on a polar coordinate system with the original cell as the origin. The population count is modelled with the Gompertz function. To decide which direction the division occur we used two criteria: | We wanted to understand how the placement of cells changes as time progresses. Cells divide, roughly in the same direction in which they were formed. To model cell division we imagined them situated on a Cartesian coordinate system, and division to place on a polar coordinate system with the original cell as the origin. The population count is modelled with the Gompertz function. To decide which direction the division occur we used two criteria: | ||
<br>1. It must not overlap other cells or DNA | <br>1. It must not overlap other cells or DNA | ||
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| − | <p> | + | <p>________________________________________________________________________________________________________________________________________________</p><h5>Simple Exponential Model and Gompertz Function</h5> |
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<p style="float: right;"><img src="https://static.igem.org/mediawiki/2015/6/63/Warwickgompertz.png" align="right" height="150px" width="270px" border="1px"></p> | <p style="float: right;"><img src="https://static.igem.org/mediawiki/2015/6/63/Warwickgompertz.png" align="right" height="150px" width="270px" border="1px"></p> | ||
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| − | <p> | + | <p>________________________________________________________________________________________________________________________________________________</p><h5>Comparing the two</h5> |
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<img src="https://static.igem.org/mediawiki/2015/f/f1/Warwickgrpahsgompertz.png" class="pics" alt=""> | <img src="https://static.igem.org/mediawiki/2015/f/f1/Warwickgrpahsgompertz.png" class="pics" alt=""> | ||
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| − | <p> | + | <p>________________________________________________________________________________________________________________________________________________</p> <h5>Cell growth with Interactions</h5> |
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Our idea of forcing different cell types to live together in close vicinity will alter this model however. Taking for example forcing 3 cell types together; | Our idea of forcing different cell types to live together in close vicinity will alter this model however. Taking for example forcing 3 cell types together; | ||
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| − | <p> | + | <p>________________________________________________________________________________________________________________________________________________</p><h5>How Constants affect Growth</h5> |
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<p style="float: right;"><img src="https://static.igem.org/mediawiki/2015/c/c1/Warwickcellgrowthgraph.png" align="right" height="500px" width="600px" border="1px"></p> | <p style="float: right;"><img src="https://static.igem.org/mediawiki/2015/c/c1/Warwickcellgrowthgraph.png" align="right" height="500px" width="600px" border="1px"></p> | ||
Latest revision as of 20:39, 17 September 2015
