Table 2 Parameters’ description and value

\(D_{A_{O}}\)

Diffusion coefficient of A βO

4.32×10⁻² c m ² day ⁻¹ estimated

D _H

Diffusion coefficient of HMGB-1

8.11×10⁻² c m ² day ⁻¹ estimated

\(D_{T_{\alpha }}\)

Diffusion coefficient for TNF- α

6.55×10⁻² c m ² day ⁻¹ estimated

\(d_{T_{\beta }}\)

Diffusion coefficient of TGF- β

6.55×10⁻² c m ² day ⁻¹ estimated

\(D_{I_{10}}\)

Diffusion coefficient of IL-10

6.04×10⁻² c m ² day ⁻¹ estimated

D _P

Diffusion coefficient of MCP-1

1.2×10⁻¹ c m ² day ⁻¹ estimated

\(\lambda _{\beta }^{i} \)

Production rate of \(A_{\beta }^{i}\)

9.51×10⁻⁶ g/ml/day estimated

λ _N

Production rate of \(A_{\beta }^{o}\) by neuron

8×10⁻⁹ g/ml/day estimated

λ _A

Production rate of \(A_{\beta }^{o}\) by astrocytes

8×10⁻¹⁰ g/ml/day estimated

λ _τ0

Production rate of tau proteins in health

8.1×10⁻¹¹ g/ml/day estimated

λ _τ

Production rate of tau proteins by ROS

1.35×10⁻¹¹ g/ml estimated

λ _F

Production rate of NFT by tau

1.662×10⁻³/day estimated

\(\lambda _{AT_{\alpha }}\)

Production/activation rate of astrocytes by TNF- α

1.54/day estimated

\(\lambda _{AA_{\beta }^{o}}\)

Production/activation rate of astrocytes by \(A_{\beta }^{o}\)

1.793/day estimated

\(\lambda _{A_{O}}\)

Production rate of A βO

5×10⁻²/day estimated

λ _H

Production rate of HMGB-1

3×10⁻⁵/day estimated

λ _MF

Production/activation rate of microglias by NFT

2×10⁻²/day estimated

λ _MA

Production/activation rate of microglias by astrocytes

2.3×10⁻³/day estimated

\(\lambda _{M1T_{\beta }}\)

Rate of M ₁→M ₂

6×10⁻³/day estimated

\(\lambda _{\hat {M}_{1}T_{\beta }}\)

Rate of \(\hat {M}_{1}\rightarrow \hat {M}_{2}\)

6×10⁻⁴/day estimated

\(\lambda _{T_{\beta } M}\)

Production rate of TGF- β by M

1.5×10⁻² day ⁻¹ [56, 99]

\(\lambda _{T_{\beta }\hat {M}}\)

Production rate of TGF- β by \(\hat {M}\)

1.5×10⁻² day ⁻¹ [56, 99]

\(\lambda _{T_{\alpha } M1}\)

Production rate of TNF- α by M ₁

3×10⁻² day ⁻¹ estimated

\(\lambda _{T_{\alpha } \hat {M}_{1}}\)

Production rate of TNF- α by \(\hat {M}_{1}\)

3×10⁻² day ⁻¹ estimated

\(\lambda _{I_{10}M_{2}}\)

Production rate of IL-10 by M ₂

6.67×10⁻³ day ⁻¹ [47, 90]

\(\lambda _{I_{10}\hat {M}_{2}}\)

Production rate of IL-10 by \(\hat {M}_{2}\)

6.67×10⁻³ day ⁻¹ [47, 90]

λ _PA

Production rate of MCP-1 by astrocytes

6.6×10⁻⁸ day ⁻¹ estimated

\(\lambda _{PM_{2}}\)

Production rate of MCP-1 by M ₂

1.32×10⁻⁷ day ⁻¹ estimated

θ

M ₂/M ₁ effectivity in clearance of \(A_{\beta }^{o}\)

0.9 estimated

α

Flux rate of macrophages

5 estimated

β

Proinflammatory/anti-inflammatory ratio

10 estimated

γ

I ₁₀ inhibition ratio

1 estimated