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