Table 1.
Summary of variables and dimensional parameters used in the MVSIC model. All parameters have units of species population, unless otherwise stated.
| variable/parameter | biological interpretation | parameter | biological interpretation |
|---|---|---|---|
| S(t) | susceptible cell population | δ1 | low-density reproduction rate of susceptible cells (s−1) |
| I(t) | infected cell population | δ2 | infected cell clearance rate (s−1) |
| V(t) | viral load | δ3 | viral clearance rate (s−1) |
| M(t) | recruited immune cell population | δ4 | immune cell clearance rate (s−1) |
| C(t) | cytokine population | δ5 | cytokine clearance rate (s−1) |
| k0 | viral infection rate (s−1) | S0 | healthy equilibrium population of susceptible cells |
| k1 | phagocytosis rate (s−1) | a | rate-limited viral concentration (direct signalling) |
| k2 | viral production rate (s−1) | n | Hill power coefficient (indirect signalling; dimensionless) |
| k3 | viral clearance rate from immune response (s−1) | b | rate-limited viral concentration (indirect signalling) |
| k4 | immune cell recruitment rate from cytokines (s−1) | m | Hill power coefficient (immune cell signalling; dimensionless) |
| k5 | immune cell recruitment rate from direct cell signalling (s−1) | w | rate-limited viral concentration (immune cell signalling) |
| k6 | cytokine recruitment rate from indirect cell signalling (s−1) | ε | relative factor of infection inhibition from ICS (dimensionless) |
| k7 | cytokine recruitment rate from indirect infected cell signalling (s−1) | ϕ | relative factor of additional cytokine clearance from ICS (dimensionless) |
| k8 | cytokine recruitment rate from immune cells (s−1) |