Research Article

Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection

Table 1

Parameters, their symbols, and default values used in Model (3).

Parameters MeaningValueReferences

Maximum hepatocyte growth rate≤1.0 day−1[23, 24]
Hepatocyte carrying capacity2 × 1011 cells[25]
Rate of virion infection of hepatocytes3.6 × 10−5–1.8 × 10−3 cells virion−1 day−1[26]
Time delay1 day [27, 28]
Normal death rate for hepatocytes.0039 day−1[27, 28]
Infected hepatocyte death rate0.0693–0.00693 day−1[25]
Clearance rate of infection7 ± 1.7 × 10−4 ml/cell day−1[29]
Number of free viruses produced by infected cells480[12, 13]
Free virion half-life0.67 day−1[30]
Neutralization rate of virion and antibodies10−10–10−12 ml day−1[31]
Activation rate of B-cells1.38 × 10−2–10−4 day−1[31]
Death rate of B-cells0.03–0.1 day−1[31]
Activation rate of CTL cells4.4 ± 1.5 × 10−7 ml cell−1 day−1[29]
Death rate of CTL cells0.5 day−1[32]