Biomod/2013/Titech/SMM5

From OpenWetWare
Jump to navigationJump to search

<!DOCTYPE> <html> <head> <title>project</title> <style type='text/css'> h1.firstHeading{display:none;}

  1. jump-to-nav{display:none;}
  2. siteSub{display:none;}
  3. contentSub{display:none;}
  4. column-one { display:none; width:0px;}
  5. haikei{
         width:900px;

margin-right:200px; margin-left:330px; 

                 margin-top:-290px;

background-color:#ffffff; 

                 box-shadow:#000000 2px 2px, gray 5px 5px 5px 5px ;}


  1. globalWrapper{background-color:green; display:none;}
  2. column-content{background-color:yellow; display:none;}
  3. bodyContent{display:none;}
  4. column-one { display:none; width:0px;}

.OWWNBcpCurrentDateFilled {display: none;}

  1. footer{margin-left:330px;; width:900px}

body{ 

 background-color:#ffffff;
 font-size:18px;
 font-family:arial;
text-decoration:none;
 }

h1{ text-align:left; font-style: italic; font-size:50px; text-decoration:none; }

h2{ font-style: italic; font-size:40px; text-align:center; text-decoration:none; } h3{ font-size:30px; } h4{font-size:20px;}

  1. haikei p span {

font-weight: bold; }

table{ border:1px black solid; } table tr td{ border:1px black solid; }

.fig{ font-weight:bold; font-size:20px; text-align:center; } .blue{ 

    color:red;

background-color:#ffffff; font-style:italic; }

.itimojime{ font-size:36px; font-family:arial light; }





.menu{ text-decoration:none; font-family:Arial, Helvetica, sans-serif; list-style-type:none; display:block; position:fixed; } a.menu:link{ color:#4e90ff; } a.menu:visited{ color:#4e90ff; }

a.menu:active{ color:#4e90ff; } a.menu:hover{ font-size:24px; text-shadow:#e77070 2px 2px; }

  1. bar{

list-style-type: none }

  1. bar li {

text-decoration:none; } .risuto{ font-size:24px; } .risuto2{ font-size:18px; list-style-type: square; }

img{align="center"} </style> </head> <body>

 

 

 

 

 

 

 

 




<a href="http://openwetware.org/wiki/Biomod">Biomod<a/>|<a href="http://openwetware.org/wiki/Biomod/2013">2013</a>

Simulation of Permutation color-directing system

We are going to discuss the strand-exchange reaction between DNA-α and DNA-β, and the reaction between DNA-α and DNA-γ which is reaction inhibitor for DNA-α. P1 is the product of reaction1 and P2 is the product of reaction2.

<img src="https://upload.wikimedia.org/wikipedia/commons/e/e0/1%E5%80%8B%E7%9B%AE.png"> <img src="https://upload.wikimedia.org/wikipedia/commons/f/f9/2%E5%80%8B%E7%9B%AE.png">

We are going to derive the change of P1 according to the time course when there is inhibitor.
First, the change of α according to time course is defined as follows:

<img src="https://upload.wikimedia.org/wikipedia/commons/9/9f/3%E5%80%8B%E7%9B%AE.png">

(k is the rate constant of reaction1, k’ is the rate constant of reaction2, x is the concentration of P1, and y is the concentration of P2)

Since k is much smaller than k’ , we can hypothesize reaction2 almost doesn’t happen. So 3 is described as follows:

<img src="https://upload.wikimedia.org/wikipedia/commons/d/d1/4%E5%80%8B%E7%9B%AE.png">

In addition, [A] is defined as follows:

<img src="https://upload.wikimedia.org/wikipedia/commons/1/15/5%E5%80%8B%E7%9B%AE.png">

So the change of [A] according to the time course is described as follows:

<img src="https://upload.wikimedia.org/wikipedia/commons/0/01/6%E5%80%8B%E7%9B%AE.png">

If 4 is substituted for 2, 2 is defined as follows:

<img src-"https://upload.wikimedia.org/wikipedia/commons/a/ae/7%E5%80%8B%E7%9B%AE.png">

In addition, [

Retrieved from "https://openwetware.org/mediawiki/index.php?title=Biomod/2013/Titech/SMM5&oldid=750480"