Team:NYMU-Taipei/modeling/m1

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Revision as of 10:39, 5 August 2014 by Hiwang123 (Talk | contribs)

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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

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

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

result

discussion