Team:NYMU-Taipei/modeling/m3
From 2014.igem.org
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purpose & introduction
How to control the starting time of phage killing?
We use multiple terminators to make a threshold of the production of endolysin, so we build this model to determine the number of terminators.
system
$$\frac{d[\text{lysis gene mRNA}]}{dt} = \beta\frac{[\text{comE}]^n}{K_d+[\text{comE}]^n}(1-a)^w-[\text{lysis gene mRNA}]K_m$$
$$\frac{d[\text{lysis protein}]}{dt} = K_t[\text{lysis gene mRNA}]-K_p[\text{lysis protein}]$$
$\beta$:max nlmC promoter activity
$K_d$:promoter-TF dissociation constant
$K_m$:lysis gene mRNA degradation
$K_t$:translation efficiency
$K_p$:lysis protein degradation
$n$:hill coefficient
$a$:terminator efficiency
$w$:amount of terminator