Difference between revisions of "Team:GO Paris-Saclay/model"

Line 2: Line 2:
  
 
{{Template:GO_Paris-Saclay/navbarcssgene}}
 
{{Template:GO_Paris-Saclay/navbarcssgene}}
 +
{{Template:GO_Paris-Saclay/templatestyle}}
  
 
<html>
 
<html>
Line 106: Line 107:
 
}
 
}
  
 +
<html>
 +
<body>
  
−
</style>
+
<div class="container">
−
</head>
+
  
−
<body>
+
   <img src="https://static.igem.org/mediawiki/2018/9/9b/T--GO_Paris-Saclay--interlabpage.png" alt="page template gps" width="1000" height="300">
−
<div class="bannercontainer" >
+
−
   <img src="https://static.igem.org/mediawiki/2018/1/1b/T--GO_Paris-Saclay--tableau_banner.png"
+
−
      class="bannerimg superposedbanner1">
+
−
  <img src="https://static.igem.org/mediawiki/2018/9/90/T--GO_Paris-Saclay--empty-banner.png"
+
−
      class="bannerimg superposedbanner2">
+
−
  <div class="headlinetext">Model</div>
+
−
</div>
+
  
−
<mat-card class="dashboard-card largemargin">
+
  <div class="topleft"><a href="https://2018.igem.org/Team:GO_Paris-Saclay/JOUDOU3"><img src="https://static.igem.org/mediawiki/2018/0/01/T--GO_Paris-Saclay--logogoparissaclay.png" alt="logoparissaclay"></a></div>
  
−
  <h1 id="Introduction">Introduction</h1>
+
<div>
 +
<img id="carretitrepincipal" src="https://static.igem.org/mediawiki/2018/f/fd/T--GO_Paris-Saclay--carretitreprinci.png" alt="carretitreprinci">
 +
</div>
 +
 
 +
<h1 id="titreh1">INTRODUCTION</h1>
  
−
  <p class="withlettrine">In order to degrade drugs in hospital wastewater in a sustainable way, our biological system
+
<div id="paragraphe">
 +
In order to degrade drugs in hospital wastewater in a sustainable way, our biological system
 
     split
 
     split
 
     into two distinct populations with
 
     into two distinct populations with
 
     different biological properties. Specifically the growth of the "stem" cell population may be faster that the
 
     different biological properties. Specifically the growth of the "stem" cell population may be faster that the
 
     degrader population.
 
     degrader population.
−
     Here, degrader cells produce two enzymes, folC and CPG2, which can be lethal in high concentration. <br>
+
     Here, degrader cells produce two enzymes, folC and CPG2, which can be lethal in high concentration.
−
 
+
</div>
−
  </p>
+
  
−
  <p>We analyse the population dynamics for several scenarios. It could happen in hospital effluents, where drugs
+
<div id="paragraphe">
 +
We analyse the population dynamics for several scenarios. It could happen in hospital effluents, where drugs
 
     release
 
     release
 
     depend of many parameters like human errors, schedule of health services, etc. Finally, we prove the effectiveness
 
     depend of many parameters like human errors, schedule of health services, etc. Finally, we prove the effectiveness
−
     of our system by proving it can degrade drugs in many scenarios.</p>
+
     of our system by proving it can degrade drugs in many scenarios.
 +
</div>
  
 +
<h1 id="titreh1">MODEL CONSTRUCTION</h1>
  
−
  <h1 id="ModelConstruction">Model construction.</h1>
+
<h2 id="titreh2">A first approach : the exponential phase</h2>
  
 +
<div id="paragraphe">
 +
    Let's denote $n_1(t)$ the population of degradation cells, $n_2(t)$ the population of "stem" cells and $m(t)$ the
 +
    quantity of methotrexate in solution.
 +
</div>
  
−
  <h2 id="AFirstApproach">A first approach : the exponential phase</h2>
+
<div id="paragraphe">
−
  <p>
+
 
     Let's denote $n_1(t)$ the population of degradation cells, $n_2(t)$ the population of "stem" cells and $m(t)$ the
 
     Let's denote $n_1(t)$ the population of degradation cells, $n_2(t)$ the population of "stem" cells and $m(t)$ the
 
     quantity of methotrexate in solution.
 
     quantity of methotrexate in solution.
−
   </p>
+
</div>
 +
 
 +
<div id="paragraphe">
 +
    According to our experiments, and general theoretical consideration, we can write the following reactions :
 +
    \begin{{ '{' }}array}{{ '{' }}clll}
 +
    n_1 &amp; \xrightarrow{{ '{' }}r_1} &amp; n_1 &amp; \text{{ '{' }}(degrader cells growth)} \\
 +
    n_2 &amp; \xrightarrow{{ '{' }}r_2} &amp; n_2 &amp; \text{{ '{' }}("stem" cells growth.)} \\
 +
    n_1 + m &amp; \xrightarrow{{ '{' }}-A} &amp; n_1 &amp; \text{{ '{' }}(degradation of methotrexate)} \\
 +
    \star &amp; \xrightarrow{{ '{' }}p} &amp; m &amp; \text{{ '{' }}(methotrexate input)} \\
 +
    \end{{ '{' }}array} <br>
 +
    The letter above the arrow is the rate at which the transformation happens. Here, all theses rates are assumed to be
 +
    positive.
 +
</div>
 +
 
 +
 
 +
 
 +
 
 +
 
 +
 
 +
<figure id="figure1">
 +
   <p><img src="https://static.igem.org/mediawiki/2018/2/2d/T--GO_Paris-Saclay--tab1bon.png"
 +
    alt="tableauinterlab">
 +
</p>
 +
</figure>
 +
 
 +
 
 
   <p>
 
   <p>
 
     According to our experiments, and general theoretical consideration, we can write the following reactions :
 
     According to our experiments, and general theoretical consideration, we can write the following reactions :

Revision as of 09:55, 14 October 2018