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Team:NYMU-Taipei/modeling/m1
From 2014.igem.org
(Difference between revisions)
| Line 8: | Line 8: | ||
<h1>system</h1> | <h1>system</h1> | ||
<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>$$\frac{dx_i}{dt} = \mu_{x_i}{x_i} = ( {\mu_{\max_i}}\frac{s}{k_s+s}-k_{d_i} )x_i$$</p> | ||
| - | <p>$$\frac{ds}{dt} = \sum(-\frac{\mu_{x_i}x_i}{Y_i})$$</p> | + | <p>$$\frac{ds}{dt} = \sum\limits_i(-\frac{\mu_{x_i}x_i}{Y_i})$$</p> |
<h1>result</h1> | <h1>result</h1> | ||
<h1>discussion</h1> | <h1>discussion</h1> | ||
</div> | </div> | ||
</html> | </html> | ||
Revision as of 10:44, 5 August 2014
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purpose & introduction
Why not kill all S. mutans in our cavity?
Without S. mutans, other bacteria will grow rampantly, so we build a model to demonstrate the multi-species competition of dental plaque bacterium.
system
$$\frac{dx_i}{dt} = \mu_{x_i}{x_i} = ( {\mu_{\max_i}}\frac{s}{k_s+s}-k_{d_i} )x_i$$
$$\frac{ds}{dt} = \sum\limits_i(-\frac{\mu_{x_i}x_i}{Y_i})$$
