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Table 1 Sufficient conditions to optimize the forward signaling. The second column reports combined parameter ranges able to enhance the forward response for convex (χ≤0) and logistic-like (χ>0) curves, deduced analytically from the criteria of efficient forward signaling. The third column refers to conditions obtained below, with a numerical method based on a random parameter sampling and maximizing the likelihood of these parameters with respect to the forward signaling (See Discussion section)

From: Signaling cascades transmit information downstream and upstream but unlikely simultaneously

Parameters

Suff. conditions for

Maximizing likelihood

 

χ≤0

χ>0

(cf. discussion below)

\(a = \frac {K^{1}}{Y_{T}}\)

>1

1

a 31

\(b = \frac {K^{0}}{Y_{T}}\)

<1

<1

b i 1

\(1/e = \frac {k^{0}\,Y_{T}}{k^{1}\,E_{T}}\)

1

1

1/e i >1

\(c-e = \frac {E_{T}}{Y_{T}}\)

1

1

c i e i <1

\(\frac {a}{b} = \frac {K^{1}}{K^{0}}\)

>1

1

a i /b i >1