Table 1 Model parameters for system

λ₄

Signaling source of CCL4

1.3863 × 10⁻³ μM/h (0.0277)

^136,137

c₁

Midkine signaling rate of CCL4

1.3863 × 10⁻² (0.2773)

^{7,9,21,136,137}

c₂

Hill-type constant

2 μM (40)

^9,138

c₃

T cells signaling rate of CCL4

1 (1)

^{7,9,21,136,137}

c₄

Hill-type constant

2 μM (0.1)

^9,138

\({b}_{1}^{+}\)

Association rate of CCL4–CCR5 binding

12 μM⁻¹ h⁻¹ (0.6)

^139,140,141

\({b}_{1}^{-}\)

Dissociation rate of CCL4–CCR5 binding

0.18 h⁻¹ (0.18)

^139,140,141

\({b}_{2}^{+}\)

Association rate of CCL4–CCR8 binding

12 μM⁻¹ h⁻¹ (0.6)

^139,140,141

\({b}_{2}^{-}\)

Dissociation rate of CCL4–CCR8 binding

0.12 h⁻¹ (0.12)

^139,140,141

μ₄

Decay rate of CCL4

1.3863 h⁻¹ (1.3861)

^136,137

\({b}_{3}^{+}\)

Association rate of Decorin–CCR8 binding

12 μM⁻¹ h⁻¹ (0.6)

^139,140,141

\({b}_{3}^{-}\)

Dissociation rate of Decorin–CCR8 binding

0.12 h⁻¹ (0.12)

^139,140,141

μ_D

Decay rate of Decorin

0.1733 h⁻¹ (0.1733)

¹⁴²

λ_F

Signaling source of NFκB

3.151 × 10⁻² μM/h (0.0788)

^{143,144,145,146,147,148}

k₁

CCL4 ⋅ CCR5 complex signaling rate of NFκB

7.877 × 10⁻² μM/h (0.1969)

^{143,144,145,146,147,148}

k₂

Hill-type constant

1.5 × 10⁻² μM (0.3)

^7,9,21

k₃

CCL4 ⋅ CCR8 complex signaling rate of NFκB

7.877 × 10⁻² μM/h (0.1969)

^{143,144,145,146,147,148}

k₄

Hill-type constant

2 × 10⁻² μM (0.4)

^7,9,21

μ_F

Decay rate of NFκB

0.3151h⁻¹ (0.3151)

^143,144

r_M

Growth rate of microglia

3.8946 × 10⁻⁴ h⁻¹ (3.8946 × 10⁻⁴)

^149,150

M₀

Carrying capacity of Microglia

4 × 10⁻⁵ g/cm³ (1)

^149,150

\({\lambda }_{{T}_{{\rm{a}}}}\)

Re-programming T cells signaling rate of Decorin

2079.6 μM cm³/h g (4.1592)

Est

r_T

Growth rate of T cells

2.6 × 10⁻¹ h⁻¹ (0.26)

^{151,152,153,154}

T₀

Carrying capacity of T cells

1.0 × 10⁻⁴ g/cm³ (1)

^155,156

λ_T

Translation rate (T cells → re-programming T cells) by Asthma

1 × 10⁻² h⁻¹ (0.01)

Est

λ_T1

Re-translation rate (re-programming T cells → T cells)

1 × 10⁻² h⁻¹ (0.01)

Est

μ_Ta

Decay rate of re-programming T cells

0.0041 h⁻¹ (0.0041)

^157,158

a₁

IL-2 signaling rate of T cell growth rate

2.5 (2.5)

^61,159,160

a₂

Hill-type constant

50 IU/ml (1.6667)

^61,159,160

μ_I

Decay rate of IL-2

0.6931 h⁻¹ (0.6931)

^161,162,163

k₅

NFκB signaling rate of CCL5

0.1109 μM/h (1.5843)

^{7,9,21,22,164}

k₆

Hill-type constant

0.3 μM (0.75)

^{145,146,147,148}

k₇

Microglia signaling rate of CCL5

1 (1)

Est

k₈

Hill-type constant

4 × 10⁻⁶ g/cm³ (0.1)

^149,150

μ₅

Decay rate of CCL5

1.3863 h⁻¹ (1.3863)

¹⁶⁴

r

Growth rate of optic glioma

4.1667 × 10⁻⁴ h⁻¹ (4.1667 × 10⁻⁴)

^{149,150,165,166}

k₉

CCL5 signaling rate of optic glioma

15 (15)

Est

k₁₀

Hill-type constant

7 × 10⁻² μM (1)

^7,9,21,22

C₀

Carrying capacity of optic glioma

4 × 10⁻⁵ g/cm³ (1)

^{149,150,165,166}