Team:Oxford/how much can we degrade
From 2014.igem.org
(Difference between revisions)
Olivervince (Talk | contribs) |
Olivervince (Talk | contribs) |
||
Line 660: | Line 660: | ||
<div class="row"> | <div class="row"> | ||
<a href="#hide3" class="hide" id="hide3"><div class="orange_news_block2"> | <a href="#hide3" class="hide" id="hide3"><div class="orange_news_block2"> | ||
- | <h1black>What is a Gompertz function? | + | <h1black>What is a Gompertz function?</h1black> |
- | </h1black> | + | |
<img src="https://static.igem.org/mediawiki/2014/4/4d/Oxford_plus-sign-clip-art.png" style="float:right;position:relative; width:2%;" /> | <img src="https://static.igem.org/mediawiki/2014/4/4d/Oxford_plus-sign-clip-art.png" style="float:right;position:relative; width:2%;" /> | ||
</div></a> | </div></a> | ||
Line 670: | Line 669: | ||
<div class="list"> | <div class="list"> | ||
<div class="white_news_block"> | <div class="white_news_block"> | ||
- | <h1blue2> | + | <h1blue2>Gompertz Functions</h1blue2> |
+ | |||
+ | <br><br> | ||
+ | |||
+ | We used a variation of a sigmoid function called a Gompertz function to model the theoretical growth of our bead-encapsulated bacterial population. These functions are well established[1] as a method of predicting population growth in a confined space, as birth rates first increase and then slow as resource limits are reached. As this is how our bacteria will be growing (when confined in the beads), we took this information and assumed that the bacteria’s population over time will follow one of these functions (when scaled correctly). | ||
+ | <br><br> | ||
+ | Gompertz functions are of the form: | ||
+ | <br><br> | ||
+ | |||
+ | <img src="https://static.igem.org/mediawiki/2014/2/22/Oxford_DCMdeg14.png" style="float:left;position:relative; width:20%; margin-left:0%; margin-right:80%;margin-bottom:2%;" /> | ||
+ | <br><br> | ||
+ | <li>y(t) = population size as a function of time</li> | ||
+ | <li>A = maximum sustainable population</li> | ||
+ | <li>B = shift on time axis</li> | ||
+ | <li>C = growth rate</li> | ||
+ | |||
+ | |||
+ | <br><br> | ||
+ | Using this theoretical form, we could then calibrate the values of our variables through comparison with actual growth curve data from wet lab experiments. This was an important step because it would then allow us to calculate the total theoretical degradation rate of DCM that our kit could support. | ||
+ | <br><br> | ||
+ | Varying each of the three constants allows us to fit our Gompertz function to the actual growth data. The effect of varying each constant is shown below: | ||
+ | <br><br> | ||
+ | <img src="https://static.igem.org/mediawiki/2014/e/e8/Oxford_DCMdeg15.png" style="float:left;position:relative; width:100%; margin-left:0%; margin-right:0%;margin-bottom:2%;" /> | ||
+ | <br><br> | ||
+ | <h1>Reference:</h1> | ||
+ | <br><br> | ||
+ | Zwietering, M. H.; Jongenburger, I.; Rombout, F. M.; van 't Riet, K. (1990), "Modeling of the Bacterial Growth Curve", Applied and Environmental Microbiology 56 (6): 1875–1881 | ||
+ | |||
</div> | </div> |
Revision as of 22:09, 21 September 2014
#list li { list-style-image: url("https://static.igem.org/mediawiki/2014/6/6f/OxigemTick.png"); } }
![](https://static.igem.org/mediawiki/2014/e/ec/OxigemsidebarBlue.png)
![](https://static.igem.org/mediawiki/2014/a/a5/OxigemDotsDCMation.png)
![](https://static.igem.org/mediawiki/2014/0/06/OxigemDotsinterlab.png)
![](https://static.igem.org/mediawiki/2014/e/ee/OxigemDotsP%26P.png)
![](https://static.igem.org/mediawiki/2014/c/ca/OxigemDotsTeam.png)
![](https://static.igem.org/mediawiki/2014/f/f5/OxigemDotsModelling.png)
![](https://static.igem.org/mediawiki/2014/8/87/OxigemDotsAchievements.png)
![](https://static.igem.org/mediawiki/2014/7/7b/OxigemDotsiGEMcomm.png)
![](https://static.igem.org/mediawiki/2014/0/0e/OxigemDotsSafety.png)
![](https://static.igem.org/mediawiki/2014/a/a4/Oxigemsidebarlogo.png)
![](https://static.igem.org/mediawiki/2014/3/37/OxigemDotModelling.png)
![](https://static.igem.org/mediawiki/2014/0/05/OxigemDotAchievements.png)
![](https://static.igem.org/mediawiki/2014/7/77/OxigemDotiGEMcomm.png)
![](https://static.igem.org/mediawiki/2014/2/27/OxigemDotSafety.png)
![](https://static.igem.org/mediawiki/2014/e/e7/OxigemDotDCMation.png)
![](https://static.igem.org/mediawiki/2014/9/94/OxigemDotInterlab.png)
![](https://static.igem.org/mediawiki/2014/1/19/OxigemDotP%26P.png)
![](https://static.igem.org/mediawiki/2014/c/cc/OxigemDotTeam.png)
![](https://static.igem.org/mediawiki/2014/e/e0/OxigemSidebarModelling.png)
![](https://static.igem.org/mediawiki/2014/4/4a/OxigemSidebarAchievements.png)
![](https://static.igem.org/mediawiki/2014/8/83/OxigemSidebariGEMcomm.png)
![](https://static.igem.org/mediawiki/2014/3/3d/OxigemSidebarSafety.png)
![](https://static.igem.org/mediawiki/2014/1/18/OxigemSidebarDCMation.png)
![](https://static.igem.org/mediawiki/2014/e/e2/OxigemSidebarInterlab.png)
![](https://static.igem.org/mediawiki/2014/7/7b/OxigemSidebarP%26P.png)
![](https://static.igem.org/mediawiki/2014/3/3b/OxigemSidebarTeam.png)
![](https://static.igem.org/mediawiki/2014/1/1d/OxigemArrowleft.png)