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Table 1 Positive feedback loops

From: Finding the positive feedback loops underlying multi-stationarity

N

Motif

Frequency

2

(−,−,−,−)

23/112 = 0.21

 

(+,+,+,+)

35/112 = 0.31

3

(+,−,+,−,−,−)

19/108 = 0.18

 

(+,+,+,+,+,+)

18/108 = 0.17

4

(+,+,−,+,−,+,−,−)

15/68 = 0.22

 

(+,+,+,+,−,+,−,+)

15/68 = 0.22

 

(+,+,+,+,+,+,+,+)

14/68 = 0.21

5

(+,+,+,+,+,+,−,+,−,+)

9/25 = 0.36

 

(+,+,+,+,+,+,+,+,+,+)

7/25 = 0.28

6

(+,+,+,+,+,+,+,+,−,+,−,+)

6/28 = 0.21

 

(+,+,+,+,+,+,+,+,+,+,+,+)

7/28 = 0.25

7

(+,+,+,+,+,+,+,+,+,+,−,+,−,+)

14/41 = 0.34

  1. For N=2, …,7 species nodes, the most frequent (>15%) positive feedback loops for each N are shown, together with their frequencies. At most four negative labels occur. Each cycle starts at a reaction node and the odd (even) labels correspond to reaction (species) nodes. Note that, for example, (-,-,+,+,+,+) and (+,+,-,-,+,+) are the same as they are permutations of each other.