离子通道问题的研究在探索和理解生物现象和机制方面有着重要意义。Poisson-Nernst-Planck(PNP)方程是一类偏微分方程的耦合模型，是当前离子通道理论研究中最有效的模型，也是实验研究强有力的补充。但是，PNP方程的电流计算结果与实验结果相比存在两个问题：1. 高电压下误差大；2. 低电压下需反复调整参数才能达到计算精度。为此，我们拟从PNP模型和计算上两方面进行改进，希望明显减少高电压下的计算误差，实现低电压下参数选择的自动调整，从而减少PNP计算与实验数据的误差。首先，我们拟通过对模型添加离子数目的限制项来改进PNP的模型，间接限制电流随电压的无限增长，减少高电压下的误差；其次，我们拟通过调整计算时使用的离子通道的形状来改进PNP的有限元计算，减少高电压下的误差；进一步，我们拟研究参数与电流之间的泛函关系，实现PNP计算时对参数的自动调整。

The studies on ion channels problems are very important on exploring and understanding biological phenomena and mechanism. The Poisson-Nernst-Planck(PNP) equation is a kind of partial differential coupled system, which is the most efficient model in the theoretical research for ion channels and also is a powerful supply for the experimental research. However, comparing with the experimental data, there are two problems for the results of currents derived from PNP computation: one is the error is large under high voltages and another is that the parameters need to be adjusted again and again to reach the accuracy under low voltages. Hence, we shall improve the model and computation to reduce the error under the high voltage and realize the automatic adjustment of the parameters, which will reduce the error between the computation of PNP and experimental data. First, we shall modified the PNP model by adding some limitation terms, which will restrict the unlimited growth of the current with the voltage and reduce the error under the high voltages. Second, we shall adjust the shape of the ion channel to improve the computation of the finite element method for PNP equations and reduce the error under the high voltages. Furthermore, we shall study the functional relationship between the parameters and the current to realize the automatic adjustment of parameters in PNP computation.