Team:IIT Delhi/Modeling
From 2014.igem.org
(Difference between revisions)
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<center>Mathematical Model</center> | <center>Mathematical Model</center> | ||
<ul>The following assumptions were taken for modeling the system: | <ul>The following assumptions were taken for modeling the system: | ||
- | <li></li> | + | <li>All the cells behaves the same way in our system</li> |
- | + | <li>Our consideration of the concentrations of mRNA and Protein starts from t=0, and there concentration is zero at t=0</li> | |
+ | <li>We have assumed the mRNA concentration to be "x" and protein concentration to be "y"</li> | ||
</ul> | </ul> | ||
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<br> | <br> | ||
- | <div class="vector"><img src="https://static.igem.org/mediawiki/2014/ | + | <div class="vector"><img src="https://static.igem.org/mediawiki/2014/0/07/Igem-iitd-modeling-1.jpg"/></div> |
<br> | <br> | ||
We used some of the parameters developed by iGEM Team Aberdeen 2009 and for the maximal expression level of promoter J231119 we compared is RPU(Relative promoter unit) values with promoter J23101. | We used some of the parameters developed by iGEM Team Aberdeen 2009 and for the maximal expression level of promoter J231119 we compared is RPU(Relative promoter unit) values with promoter J23101. | ||
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After putting values the set of differential equation becomes: | After putting values the set of differential equation becomes: | ||
<div class="vector"><img src="https://static.igem.org/mediawiki/2014/a/ad/IgemiitdS0x_clone_photo.jpg"/></div> | <div class="vector"><img src="https://static.igem.org/mediawiki/2014/a/ad/IgemiitdS0x_clone_photo.jpg"/></div> | ||
+ | <br> | ||
+ | After solving these in MATLAB we get the following curves: | ||
+ | <br><div class="vector"><img src="https://static.igem.org/mediawiki/2014/a/ad/IgemiitdS0x_clone_photo.jpg"/></div> | ||
+ | <br><div class="vector"><img src="https://static.igem.org/mediawiki/2014/a/ad/IgemiitdS0x_clone_photo.jpg"/></div> | ||
+ | <br> | ||
+ | <center>Conclusions</center> | ||
Revision as of 01:38, 18 October 2014
![](https://static.igem.org/mediawiki/2014/2/22/Igem-iitd-modeling.jpg)
- The following assumptions were taken for modeling the system:
- All the cells behaves the same way in our system
- Our consideration of the concentrations of mRNA and Protein starts from t=0, and there concentration is zero at t=0
- We have assumed the mRNA concentration to be "x" and protein concentration to be "y"
- We chose a constitutive promoter so the input gene expression function do not involve any repression or activation term, So formulated the following set of differential equations of transcription and translation:
![](https://static.igem.org/mediawiki/2014/0/07/Igem-iitd-modeling-1.jpg)
We used some of the parameters developed by iGEM Team Aberdeen 2009 and for the maximal expression level of promoter J231119 we compared is RPU(Relative promoter unit) values with promoter J23101.
![](https://static.igem.org/mediawiki/2014/a/ad/IgemiitdS0x_clone_photo.jpg)
After putting values the set of differential equation becomes:
![](https://static.igem.org/mediawiki/2014/a/ad/IgemiitdS0x_clone_photo.jpg)
After solving these in MATLAB we get the following curves:
![](https://static.igem.org/mediawiki/2014/a/ad/IgemiitdS0x_clone_photo.jpg)
![](https://static.igem.org/mediawiki/2014/a/ad/IgemiitdS0x_clone_photo.jpg)