
Attractor Selection as Self-Adaptive Control Mechanism
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in their model, the growth rate of the cell α is obtained from the metabolic flux in
the cell caused by the current expression level in the on/off type of gene regulation.
dx
i
dt
=
⎡
⎣
f
⎛
⎝
M
j=1
w
ij
x
j
⎞
⎠
−x
i
⎤
⎦
α(x, y) + η
i
i = 1, ..., M (14.12)
The weights are discrete values w
ij
∈
{
−1, 0, 1
}
depending on whether protein
i either inhibits, is neutral to, or activates protein j,andf is a sigmoid activation
function. The focus of Furusawa and Kaneko [10] is on the investigation of the
cell growth dynamics. In their experiments, Furusawa and Kaneko used M =96
and randomly selected weights w
ij
with positive autoregulatory ...