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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competition model

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

$$\frac{dx_i}{dt} = \mu_{x_i}{x_i} = ( {\mu_{\max_i}}\frac{s}{k_s+s}-k_{d_i} )x_i$$

$$\frac{ds}{dt} = \sum\limits_i(-\frac{\mu_{x_i}x_i}{Y_i})$$

result

discussion