Table 1 The variables of the model; concentration and densities are in units of g/c m ³ for cells and g/m l for cytokines

ROS (R):

Reactive oxygen species

GSK-3 (G):

Glycogen synthase kinase-type 3

\(A_{\beta }^{i}\):

Amyloid β inside neurons

\(A_{\beta }^{o}\):

Amyloid β outside neurons

NFT (F _i ):

Neuronfibrillary tangle inside neurons

NFT (F _o ):

Neuronfibrillary tangle outside neurons

APP (A _P ):

Amyloid precursor protein

A βO (A _O ):

Amyloid β oligomer (soluble)

TNF- α (T _α ):

Tumor necrosis factor alpha

TGF- β (T _β ):

Transforming growth factor beta

IL-10 (I ₁₀):

Interleukin 10

P:

MCP-1

M ₁:

Proinflammatory microglias

M ₂:

Anti-inflammatory microglias

MG (M _G ):

Microglias

N:

Live neurons

A :

Astrocytes

N _d :

Dead neurons

\(\hat {M}_{1}\)

Peripheral proinflammatory macrophages

\(\hat {M}_{2}\):

Peripheral anti-inflammatory macrophages

τ

hyperphosphorylated tau protein

H

High mobility group box 1 (HMGB1)