中文摘要：

接种乙肝疫苗是预防和控制乙型肝炎的有效措施，接种后乙肝表面抗体的持久性以及记忆细胞的长期免疫机制一直是人们关注的焦点．在维持长期免疫应答的长寿命浆细胞假说的基础之上，我们提出了一个接种乙肝疫苗后机体的体液免疫应答模型来描述接种人群乙肝表面抗体滴度的变化过程．通过选择模型中一些参数的值，模拟接种重组疫苗和血源疫苗后机体的免疫应答过程，之后又模拟了持续存在的抗原与长寿命浆细胞共同作用下维持长期免疫应答的过程，模型的模拟结果与实际抗体滴度拟合的很好．还分析了模型的几个参数对免疫效果的影响．模型及结果可以帮助人们更好地理解免疫机制．

英文摘要：

The hepatitis B vaccination is an effective measure to prevent and control the infection of hepatitis B virus （HBV）. The persistence of anti-HBs after anti-HBV vaccination and the maintenance of long-term immune memory has been the focus of attention. On the basis of the hypothesis that long-lived ptasma cells maintain the long-term immune response, a mathematical model of humoral immune response is formulated to describe the long-term variation of vaccine recipients＇ anti-HBs. After parameter values are selected the model simulation is done to show the immune response of the recombinant and plasma-derived vaccines. The long-term immune response is also investigated based on the interaction of the persistence of antigen and long-lived plasma ceils. The simulation results show that the model fits the post-vaccination antibody response data well. Finally, the impact of several parameters on the immune effect is discussed. The model and its simulation results may help people to understand the immune response.