Table 5 Boolean Functions and Description of IL-4 Stimulated M2a Activation Network. The * symbol denotes a non-validated link from public databases or literature

FGF-9(K + 1)

(\( \overline{\mathrm{MIP}-2} \) *(k)&\( \overline{\mathrm{Vegf}-\mathrm{A}} \) (k)) ||

(MIP-2(k) & VEGF-A(k)) ||

(\( \overline{\mathrm{MIP}-2} \) (k) &Lymphotactin(k))

VEGF-A: String [61] [62, 63],

Lymphotactin [64]:

IS

(89.6, 87, − 82)

GM-CSF(K + 1)

\( \overline{\mathrm{MCP}-1} \) (K) || SCF(K)

MCP-1: String [65, 66],

SCF: String

Output

(2.75, −3.23)

IFN- γ (K + 1)

MIP-2(k) || \( \overline{\mathrm{Vegf}-\mathrm{A}} \) (k)

MIP-2: String [67, 68],

VEGF-A: String

IS

(34, − 31.7)

IP-10(K + 1)

VEGF-A(K)

[69, 70]

IS

121

IL-1α(K + 1)

N/A

Input [71]:

Input

N/A

IL-2(K + 1)

MCP-3(K)

String

IS

92.7

IL-3(K + 1)

MCP-3(K)

[72, 73]

Output

41.9

IL-4(K + 1)

MCP-1(K)

String [74,75,76],

Output

151

IL-6(K + 1)

Lymphotactin(K)

[77]

Output

58.7

IL-7(K + 1)

IL-1α(K) & MCP-5* (K)

IL-1α: [78]

Output

(−0.9, − 1)

IL-10(K + 1)

VEGF-A(K)

[79]

IS

− 296

IL-12p70(K + 1)

Lymphotactin(K)

KEGG

Output

0.557

IL-17A(K + 1)

MCP-3(K)

MCP-3 [80, 81]:

Output

(.34)

Lympho-tactin(K + 1)

IL-1α (K) & MCP-5 (K)

[82]

IS

(192, − 159)

MIP-1ϐ(K + 1)

IL-1α(K) & MCP-1(K))

IL-1α: String [83] [84]

MCP-1: String,

[85] [86]

IS

(− 6490, 6650)

MIP-2(K + 1)

MCP-3(K)& MCP-5(K)

MCP-3 [87]:

MCP-5: String [87],

IS

(816, − 1160)

MCP-1(K + 1)

\( \overline{\mathrm{IL}-2} \) (K) & \( \overline{\mathrm{MIP}-1\upbeta} \) MIP-1ϐ(K)

IL-2 [88, 89]:

MIP-1β:String [85] [86],,

IS

(− 6150, − 6520)

MCP-3(K + 1)

IFN- γ (K) &MCP-1(K)

IFN- γ: String [90, 91],

MCP-1: String [92],

IS

(−15,900, 16,800)

MCP-5(K + 1)

SCF(K) || \( \overline{\mathrm{VEGF}-\mathrm{A}} \) (K)

SCF [93]:

VEGF-A: KEGG

IS

(1300, − 1140)

OSM(K + 1)

MCP-1(K)

String [94, 95],

Output

1.11

SCF(K + 1)

FGF-9(K)* & IL-10(K)

IL-10 [96, 97]:

IS

(12,700, − 14,400)

TIMP-1(K + 1)

Lymphotactin*(K)

Not validated

Output

1.19

TNF-α(K + 1)

IL-2(K)

String [98, 99],

Output

−0.188

VEGF-A(K + 1)

MCP-5(K) & SCF(K)

MCP-5:String

SCF: String [100, 101],

IS

(−13,400, 13,300)