Team:Heidelberg/Model/Lagoon Contamination
Modeling
Lagoon contamination
{{{1}}}
$$
Here \(c_{X}(t_{0}\) is introduced, which is the initial concentration of the contamination.
The following statements can be made:
The contamination expands if the flow rate \(\Phi_{L}\) is greater than the growth factor \(\frac{ln(2)}{t_{X}}\),
$$
c_{X}(t) > 0, \quad if \Phi_{L} > \frac{ln(2)}{t_{X}}
$$
it remains constant if the flow rate is exactly the growth factor
$$
c_{X}(t) = 0, \quad if \Phi_{L} = \frac{ln(2)}{t_{X}}
\end{cases}
$$
and it diminishes, when the flow rate is higher than the growth factor.
$$
c_{X}(t) \less 0, \quad if \Phi_{L} \less \frac{ln(2)}{t_{X}}
\end{cases}
$$
Table 1: Additional Variables and Parameters used for the calculation of the number of mutated sequences
List of all additional paramters and variables used in the numeric solution of this model. When possible values are given.
Symbol
Value and Unit
Explanation
\(t \)
[h]
Total time in lagoon
\(p_{m} \)
[bp/bp]
Expected number of mutations per sequence
\(p_{M} \)
[bp/sequences]
Expected number of mutations in all sequences
\(N_{M} \)
[bp]
Number of mutated basepairs
\(L_{S} \)
[bp]
Length of sequence that is considered
\(N_{g} \)
[generations]
Number of generations
\(r_{M} \)
\([\frac{1}{bp \cdot generation}]\)
\(\Phi_{L} \)
[Vol/h]
\(N_{S} \)
[sequences]
Number of sequences
\(p_{(N_{M} > 0)} \)
Probability to find at least one mutated sequence in a pool of sequences
\(p_{(N_{M} = 0)} \)
Probability to find no mutated sequences in a pool of sequences
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