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Analyzing Microbial Dynamics in Human Mouth: Modeling Species Compositions

Help microbial ecologists study microbial species in the human mouth and build a model to evaluate species composition scenarios.

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Analyzing Microbial Dynamics in Human Mouth: Modeling Species Compositions

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  1. Example: You were approached by some microbial ecologists to study the dynamics of microbes in the human body. They chose the mouth and they are pretty sure that there are two species living there (more like 200 I believe). The goal is to study the composition of a bacterial population at a point in time. Those ecologists can observe the proportions of the different species. You want to help them construct a model that will allow them to evaluate the probability of different scenarios of species compositions in samples that they will observe in the future. These researchers believe that the chance of observing these species in the total population is proportional to the product of their concentration. Question of interest: P[X1 = 0.1, X2 = 0.2] = ? P[0.3 <= X1 <= 0.6, 0.4 <= X2 <= 0.7] = ? P[0.1 <= X1 <= 0.2, X2 <= 0.3] = ? P[0.1 <= X1 <= 0.2] = ? P[X2 <= 0.3] = ? P[X1 >= X2] = ? P[0.1 <= X1 <= 0.2 | X1 = 0.3] = ?

  2. x2 (0,1) (1,1) (0,0) x1 (1,0)

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