Expression of protein is controlled
by an external S. the protein also controls
its own exprexxion by a negative feedback.
The fol<lwing system of ODEs represents
the dynamics of the system, with
m and p representing mRNA and
protein respectively, prove that for
any value of S≥0, the steady state of the
system is spiral sink
(dm/dt)=(S/(1+S))+(1/(1+P))−m (dp/dt)=m−p
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