Disregarding the role of other genes Assume that the natural body of water is a continuous and homogeneous medium The effect of other factors in the environment on the bacterium is not considered
At 37 degrees, the temperature-controlled switch protein was isolated and phlF was not inhibited. A model of temperature-controlled protein production was first developed. The temperature control protein is divided into two parts noted as $S_1$ and $S_2$.
where the chemical equilibrium constant K can be experimentally measured
From chemical equilibrium it can be derived that
It has been reported in the literature that the rate of $P_i$ import is linear with the external concentration at a certain concentration of pst. That is, the conduction reaction is a primary reaction.
where $k_{5}$ is related to the pst concentration, which gives
where pst concentration is regulated by temperature-controlled proteins
It has been reported in the literature that the rate of phosphorus release from yjBb is related to the concentration difference, both in terms of phosphorus concentration.
With the above model, an experimental fit was performed to obtain the key parameters. This gives the relationship between the Pi enrichment concentration of individual bacteriophages with time.
The growth model of the bacteriophage is as follows.
where
s is the concentration of medium
Assuming that there is a loss of bacteria during the flushing process, the probability of loss, defined as
So combining the equations, we get
Finally we can obtain the relation for the variation of pi concentration.
Having the relationship P($p_i(intra)$,$p_i(extra)$) obtained by the intracellular model gives
Result
Based on the experimental data, for the yjBb system, a linear fit was performed and found to have a good linear relationship, thus verifying the accuracy of the model.
