Difference between revisions of "Team:Tec-Monterrey/Model"

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         <div class="body-title">Module 1 & Module 2</div>
 
         <div class="body-title">Module 1 & Module 2</div>
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         <div class="body-subtitle">Protein and target DNA production</div>
 
         <div class="body-subtitle">Protein and target DNA production</div>
         In beginning with a mathematical description of the E. coding system, the biomolecular processes taking place in the system were expressed as reversible biochemical reactions governed by mass-action <script type="math/tex; mode=display" id="MathJax-Element-43">
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         In beginning with a mathematical description of the E. coding system, the biomolecular processes taking place in the system were expressed as reversible biochemical reactions governed by mass-action law kinetics, as conveyed in Figure ***.  
            g_{e} (t_{e}) = c_{e} \cdot \frac{log(2)}{t_{e} }
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            </script> law kinetics, as conveyed in Figure ***.  
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         Where <b>Cas1</b> refers to free Cas1 protein, <b>Cas2</b> to free Cas2 protein, <b>RT</b> to free Retrotranscriptase, <b>msr-msd</b> to free msr-msd RNA transcript, <b>CAS</b> to free Cas1-Cas2 protein complex, <b>M***</b> to RT bound by msr-msd RNA transcript, <b>MSD***</b> to free retrotranscribed target DNA sequence, <b>X</b> to Cas1-Cas2 protein complex bound to target DNA sequence, and <b>I***</b> to the amount of insertions made to the bacteria’s genome. This first model consisted of a simple linear differential equations system.  
 
         Where <b>Cas1</b> refers to free Cas1 protein, <b>Cas2</b> to free Cas2 protein, <b>RT</b> to free Retrotranscriptase, <b>msr-msd</b> to free msr-msd RNA transcript, <b>CAS</b> to free Cas1-Cas2 protein complex, <b>M***</b> to RT bound by msr-msd RNA transcript, <b>MSD***</b> to free retrotranscribed target DNA sequence, <b>X</b> to Cas1-Cas2 protein complex bound to target DNA sequence, and <b>I***</b> to the amount of insertions made to the bacteria’s genome. This first model consisted of a simple linear differential equations system.  
 
The initial principle of the system is the expression of three proteins (Cas1, Cas2, and a Retrotranscriptase) and the msr-msd RNA transcript, regulated by an inducible promoter. As such, the Hill equation was implemented to describe said regulated expression, as a function of the concentration of an inductor. A separate term, for basal protein degradation remained. Additionally, enzymatic processes, such as protein complex formation, substrate binding, or enzymatic reactions, are left described by mass-action law. Equations *** to *** correspond to each protein, substrate, and enzymatic complex involved in the E. coding system. <br>
 
The initial principle of the system is the expression of three proteins (Cas1, Cas2, and a Retrotranscriptase) and the msr-msd RNA transcript, regulated by an inducible promoter. As such, the Hill equation was implemented to describe said regulated expression, as a function of the concentration of an inductor. A separate term, for basal protein degradation remained. Additionally, enzymatic processes, such as protein complex formation, substrate binding, or enzymatic reactions, are left described by mass-action law. Equations *** to *** correspond to each protein, substrate, and enzymatic complex involved in the E. coding system. <br>

Revision as of 19:45, 16 October 2018