Difference between revisions of "Team:GreatBay SCIE/Dissociation constant"

Line 9: Line 9:
 
.MathJax nobr>span.math>span{border-left-width:0 !important};
 
.MathJax nobr>span.math>span{border-left-width:0 !important};
 
</style>
 
</style>
 +
 +
<script type="text/x-mathjax-config">
 +
 +
//这是引用的mhchem宏包，用于后续公式显示
 +
 +
  MathJax.Ajax.config.path["mhchem"] = "https://cdnjs.cloudflare.com/ajax/libs/mathjax-mhchem/3.3.2";
 +
  MathJax.Hub.Config({
 +
    tex2jax:{ignoreClass: "tex2jax_ignore",
 +
              inlineMath: [["$","$"]] },
 +
    TeX:{ extensions:["[mhchem]/mhchem.js", "color.js"],
 +
      noErrors:{ disabled: true } }
 +
        });
 +
</script>
 +
<script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
  
  
Line 42: Line 56:
  
 
<p>As we know the aptamer has the ability to bind with non-specific region.</p>
 
<p>As we know the aptamer has the ability to bind with non-specific region.</p>
−
<br>
 
−
<h1>Reference</h1>
 
−
<p><em>Equation: One site -- Specific binding</em> <a href='https://www.graphpad.com/guides/prism/latest/curve-fitting/reg_one_site_specific.htm' target='_blank' class='url'>https://www.graphpad.com/guides/prism/latest/curve-fitting/reg_one_site_specific.htm</a>
 
 
</center>
 
</center>
 
</div>
 
</div>
−
 
  
 
<script src="https://2021.igem.org/wiki/index.php?title=Template:GreatBay_SCIE/JS/sidebar&action=raw&ctype=text/javascript">
 
<script src="https://2021.igem.org/wiki/index.php?title=Template:GreatBay_SCIE/JS/sidebar&action=raw&ctype=text/javascript">

Revision as of 08:48, 21 October 2021

<!DOCTYPE html>
Dissociation constant

At first we planned to calculate Kd which can be derived from Hill equation

$$\ce{A + T<-->T[K_{on}][K_{off}]AT}$$

$$k_{on}[A][T]=K_{off}[AT]$$

$$K_A= \frac{1}{K_D}=\frac{K_{on}}{K_{off}}=\frac{[AT]}{[A][T]}$$

But soon we found that it is impossible to calculate in this way as the seller of the ELISA kit can't tell us the concentration of the aptamer so we had to find another way.

This equation is derived from Michaelis–Menten kinetics

$$V=V_{max}\frac{[P]}{K_M\times{[P]}}$$

With slightly modification, we can obtain the following equation

$$Y=\frac{B_{max}\times X}{K_d+X}+M\times X$$

Where Bmax is the maximum specific binding in the same units as Y.

Kd is the equilibrium dissociation constant, in the same units as X. It is the radio-ligand concentration needed to achieve a half-maximum binding at equilibrium.

MX is the slope of nonspecific binding in Y units divided by X units.

By plotting the data into the prism and doing the following steps, the system can calculate automatically

Using the data from the Aptamer experiments we can evaluate that the Kd of our aptamer is 1.806 μM

As we know the aptamer has the ability to bind with non-specific region.