"
Team:NYMU-Taipei/modeling/m2
From 2014.igem.org
(Difference between revisions)
| Line 7: | Line 7: | ||
<p>It is bacteria’s acid production that causes caries, so we build a model to know how much S. mutans we should kill to prevent caries.</p> | <p>It is bacteria’s acid production that causes caries, so we build a model to know how much S. mutans we should kill to prevent caries.</p> | ||
<h1>system</h1> | <h1>system</h1> | ||
| + | <p>(equation from <a href='/Team:NYMU-Taipei/modeling/m1'><b>competition model</b></a>):</p> | ||
| + | <p>$$\frac{dx_i}{dt} = \mu_{x_i}{x_i} = ( {\mu_{\max_i}}\frac{s}{k_s+s}-k_{d_i} )x_i$$</p> | ||
| + | <p>$$\frac{ds}{dt} = \sum\limits_i(-\frac{\mu_{x_i}x_i}{Y_i})$$</p> | ||
| + | <p>$$\frac{d[acidic~substance]}{dt} = \sum\limits_i(\alpha_i\frac{dx_i}{dt}+\beta{x_i})$$</p> | ||
| + | <p>$\alpha_i,\beta_i$: related coefficient</p> | ||
<h1>result</h1> | <h1>result</h1> | ||
<h1>discussion</h1> | <h1>discussion</h1> | ||
</div> | </div> | ||
</html> | </html> | ||
Revision as of 11:06, 5 August 2014
X
Next ⇒
⇐ Prev
...
purpose & introduction
How many S. mutans should we kill?
It is bacteria’s acid production that causes caries, so we build a model to know how much S. mutans we should kill to prevent caries.
system
(equation from competition model):
$$\frac{dx_i}{dt} = \mu_{x_i}{x_i} = ( {\mu_{\max_i}}\frac{s}{k_s+s}-k_{d_i} )x_i$$
$$\frac{ds}{dt} = \sum\limits_i(-\frac{\mu_{x_i}x_i}{Y_i})$$
$$\frac{d[acidic~substance]}{dt} = \sum\limits_i(\alpha_i\frac{dx_i}{dt}+\beta{x_i})$$
$\alpha_i,\beta_i$: related coefficient
