Team:IIT Delhi/Modeling

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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:
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     <li>All the cells behaves the same way in our system</li>  
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     <li> &#10004; All the cells behaves the same way in our system</li>  
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     <li>Our consideration of the concentrations of mRNA and Protein starts from t=0, and there concentration is zero at t=0</li>
+
     <li> &#10004;Our consideration of the concentrations of mRNA and Protein starts from t=0, and there concentration is zero at t=0</li>
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     <li>We have assumed the mRNA concentration to be "x" and protein concentration to be "y"</li>
+
     <li> &#10004; We have assumed the mRNA concentration to be "x" and protein concentration to be "y"</li>
</ul>
</ul>
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<center>Parameters</center>
<center>Parameters</center>
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<div class="vector"><img src="https://static.igem.org/mediawiki/2014/a/ad/IgemiitdS0x_clone_photo.jpg"/></div>
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<div class="vector"><img src="https://static.igem.org/mediawiki/2014/0/05/Igem-iitd-modeling-2.jpg"/></div>
<br>
<br>
After putting values the set of differential equation becomes:
After putting values the set of differential equation becomes:

Revision as of 01:43, 18 October 2014


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Synthetic Biology targets to design and create original biological systems. But the genetic systems involved are very intricate. Before going to lab and start working, one should first have a reasonable estimate of what they expect to do. And here mathematical modeling is useful.

Mathematical Model
    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.
    Parameters

    After putting values the set of differential equation becomes:

    After solving these in MATLAB we get the following curves:


    Conclusions
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