Table 3 Relative enrichment of biologically meaningful BFs among composed BFs of different composition structures in the reference biological dataset. This table gives the relative enrichment values \(E_R\) in the reference biological dataset for the four biologically meaningful sub-types within composed BFs for different non-trivial composition structures with number of inputs \(k \le 5\). These four biologically meaningful sub-types within composed BFs include those BFs in a composition structure that also happen to be Unate functions (UFs), Canalyzing functions (CFs), Nested canalyzing functions (NCFs), or Read-once functions (RoFs).

From: Relative importance of composition structures and biologically meaningful logics in bipartite Boolean models of gene regulation

Composition structure

\(E_R\) of biologically meaningful sub-types in a given composition structure

UF

CF

NCF

RoF

{1,2}

1.58

1.27

2.26

2.26

{1,3}

4.02

1.38

6.36

6.36

{2,2}

1.90

1.53

4.77

3.62

{1,1,2}

4.52

3.16

7.71

7.23

{1,4}

45.78

1.49

159.62

139.70

{2,3}

5.24

1.97

18.07

9.85

{1,1,3}

10.07

3.05

21.11

17.57

{1,2,2}

5.65

3.70

15.46

9.49

{1,1,1,2}

56.03

26.00

268.47

209.30