Table 1 Parameters of the model
Intial Conditions | Symbol | Values |
|---|---|---|
Resting Teff cell population size | E r | En0 = 0 cells |
Resting Treg cell population size | R r | Rn0 = 0 cells |
Activated Teff cell population size | E | Ea0 = 1000 cells |
Activated Treg cell population size | R | Ra0 = 200 cells |
Reversible Damage | l | l 0 = 0 |
Irreversible Damage | L | L 0 = 0 |
Parameter description | Symbol | Values |
Antigen Presentation | δ | 1 day-1 (35) |
Anergy | β | 0.01 day-1 |
Memory | η | 0.01 day-1 |
Maximum Teff proliferation rate | α E | [1:2] day-1 (36) |
Maximum Treg proliferation and activation rate | α R | [0.25:2] day-1 |
Teff death, anergy and migration Rate | γ E | 0.2 day-1 (37) |
Treg death, anergy and migration Rate | γ R | 0.2 day-1 |
Teff cell population sizes leading to half maximal effect counterpart | Ke | 1000 cells |
Treg cell population sizes leading to half maximal effect | Kr | 200 cells |
Hill coefficient | h | 5 |
Reversible damage rate | d 1 | 1 day-1 |
Irreversible damage rate | d 2 | 0.02 day-1 |
Threshold | a | 22800 cells |
Recovery | r | 0.1 day-1 |