Table 1. Model parameters and initial values for variables.
Model parameter | Symbol | Units | Value |
Rate constant for antibody binding | k | s−1day−1 | 0.01 |
Decay rate of free antigen | d f | day−1 | 0.5 |
Decay rate of bound antigen | d b | day−1 | 0.5 |
Max. prolif rate of B cells | s | day−1 | 1 |
Antigen for 1/2 max. prolif of B cells | ϕ | s | 100 |
Antibody production rate | a | day−1 | 0.1 |
Decay rate of antibody | d A | day−1 | 0.1 |
Fc-mediated inhibition | α | s −1 | 0 or 0.01 |
Extent of steric interference | β | 0.95 | |
Model variable | Symbol | Units | Initial value |
Free antigen | H f | s | 104 |
Bound antigen | H b | s | 0 |
B cells | B | s | 1 |
Antibody | A | s | 1 |
The parameter values for the simulations are the ones below unless otherwise specified in the figure legend (see Table B in S1 Text for more details). The units of antibody and B cells are re-scaled as described so at equilibrium the [B] = [A] (s = scaled units).