Team:NYMU-Taipei/modeling/m1
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<p> Without S. mutans, other bacteria will grow rampantly, so we build a model to demonstrate the multi-species competition of dental plaque bacterium.</p> | <p> Without S. mutans, other bacteria will grow rampantly, so we build a model to demonstrate the multi-species competition of dental plaque bacterium.</p> | ||
<h1>system</h1> | <h1>system</h1> | ||
+ | <p>$$a$$</p> | ||
<p>$$\frac{dx_i}{dt} = \mu_x_i \times x_i = \left({\mu_\max_i}\frac{s}{k_s+s}-k_d_i\right) \times x_i$$</p> | <p>$$\frac{dx_i}{dt} = \mu_x_i \times x_i = \left({\mu_\max_i}\frac{s}{k_s+s}-k_d_i\right) \times x_i$$</p> | ||
+ | <p>$$\frac{dx_i}{dt} = \mu_x_i \times x_i = ({\mu_\max_i}\frac{s}{k_s+s}-k_d_i) \times x_i$$</p> | ||
<h1>result</h1> | <h1>result</h1> | ||
<h1>discussion</h1> | <h1>discussion</h1> | ||
</div> | </div> | ||
</html> | </html> |
Revision as of 10:24, 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
$$a$$
$$\frac{dx_i}{dt} = \mu_x_i \times x_i = \left({\mu_\max_i}\frac{s}{k_s+s}-k_d_i\right) \times x_i$$
$$\frac{dx_i}{dt} = \mu_x_i \times x_i = ({\mu_\max_i}\frac{s}{k_s+s}-k_d_i) \times x_i$$