Table 1.
Parameters of the model of malaria population (see Fig. 1)
| Symbol | Meaning |
|---|---|
| Δ | Replication cycle length |
| t0 | Time interval during which free parasites induce the response |
| Nc | Characteristic number of infected cells inducing the response |
| r0 | Maximum value of replication ratio |
| rlow | Replication ratio when the number of cells inducing the threshold response exceeds Nc |
τ , τ
|
The lower and upper boundaries of the inducing phase interval in units of Δ |
τ , τ
|
The lower and upper boundaries of the target phase interval in units of Δ |
| D | Relative standard deviation of the burst time |
| d | Death rate of infected cells |
| b | Burst rate of infected cells |
| tol | The relative tolerance |
Δ is set in the present work at 48 h but can be adjusted to fit other replication cycle lengths; t0, Nc determine the scale in parasite density and are set at 1. We have taken the values r0 = 10, r low = 0.01 from in vitro studies (7), but have found that changing r0 above 3, or r low below 0.1, does not significantly alter the results. The remaining five parameters are free-fitting parameters.