基于经典的球形单细胞3层介电模型,同时考虑细胞核对跨膜电位的影响,提出了更为合理和接近实际的球形单细胞的多层介电模型,给出了稳恒电场和任意时变脉冲电场作用下细胞膜和核膜跨膜电位的计算方法。仿真结果表明:当脉宽减小时核膜跨膜电位增加,而脉宽增大时细胞膜跨膜电位增强;当脉宽在100~500ns范围时能有效实现肿瘤细胞膜和核膜电穿孔,同时不影响正常细胞。计算结果与实验吻合得很好,为肿瘤的电化学疗法和基因疗法的临床应用提供了理论指导。
A new multi-layer dielectric model of spherical biological cell, which is based on classic three-layer model and takes nucleolus into consideration, is presented. Methods for calculating the transmembrane potential of plasma and nuclear membrane induced by DC and time-varying electric field are also introduced and analyzed in detail. The results reveal that as pulse duration is decreased, transmembrane potential of nuclear is enhanced, while as pulse duration is increased, so is plasma membrane. When pulse duration ranges from 100ns to 500ns, both plasma and nuclear membrane of tumor cells will be formed opening pores, but normal cells will not be affected. It is agreeable with experimental phenomena, which provides theoretical guidance to clinic applications of electrochemotherapy and electrogenetherapy for tumor treatment.