Table 1 Biological interpretations of ODE model parameters for acute neuroinflammation
From: A mathematical model of neuroinflammation in severe clinical traumatic brain injury
Parameter | Description |
|---|---|
Resting microglia | |
 smr | Source of resting microglia (mr) |
 μmr | Decay rate of mr |
M1-like activation | |
 kn1 | Rate of M1 activation by IL1 |
 kn12 | Rate of M1 activation by IL12 |
 bn | Half-activation constant |
 xn | Hill coefficient |
 a∞1 | Threshold-like factor for IL4 and IL10 inhibition of M1 polarization |
M2-like activation | |
 kn4 | Rate of M2 activation by IL4 |
 kn10 | Rate of M2 activation by IL10 |
 yn | Half-activation constant |
 zn | Hill coefficient |
Microglial phenotype switch | |
 τn4 | Relative effectiveness of IL4 in driving M1 to M2 differentiation |
 τn10 | Relative effectiveness of IL10 in driving M1 to M2 differentiation |
 mn | Half-activation constant |
 gn | Hill coefficient |
Microglial decay | |
 μM1 | Decay rate of M1 |
 μM2 | Decay rate of M2 |
Cytokine release by Th2 cells | |
 ktbase | Baseline rate of Th2 cytokine release |
 ktn12 | Relative effectiveness of IL12 in inhibiting the Th1 pro-inflammatory response and promoting Th2 anti-inflammatory response |
 rn | Half-activation constant |
 cn | Hill coefficient |
Pro-inflammatory cytokines | |
 kM1base | Baseline rate of M1 pro-inflammatory cytokine release |
 kcd | Relative effectiveness of tissue damage (D) in promoting pro-inflammatory cytokine production |
 vn | Half-activation constant |
 hn | Hill coefficient |
 kpn1 | Relative rate of IL1 release |
 kpn12 | Relative rate of IL12 release |
 μn1 | Decay rate of IL1 |
 μn12 | Decay rate of IL12 |
Anti-inflammatory cytokines | |
 kM2base | Baseline rate of M2 anti-inflammatory cytokine release |
 kc4 | Relative effectiveness of IL4 in promoting anti-inflammatory cytokine production |
 wn | Half-activation constant |
 qn | Hill coefficient |
 a∞2 | Threshold-like factor for IL10 inhibition of cytokine release |
 ktn10 | Rate of IL10 release by Th2 cells |
 ktn4 | Rate of IL4 release by Th2 cells |
 kpn10 | Rate of IL10 release by M2 |
 kpn4 | Rate of IL4 release by M2 |
 μn10 | Decay rate of IL10 |
 μn4 | Decay rate of IL4 |
Tissue damage | |
 αn12 | Rate of IL12 induction of damage |
 αn1 | Rate of IL1 induction of damage |
 γM1 | Rate of damage clearance by M1 |
 γM2 | Rate of damage clearance by M2 |
 rM1 | Rate of damage production by M1 |