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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
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- 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:
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.
After putting values the set of differential equation becomes:
After solving these in MATLAB we get the following curves:
