为了研究不可逆电穿孔过程中组织电导率对组织内电场分布及温度的影响,采用有限元分析软件COMSOL建立了小鼠肝脏的球形肿瘤及椭球形肿瘤的数值模型;通过改变组织的电导率,得到肿瘤及正常组织内不可逆电穿孔电场、温度的分布情况。结果表明:组织电导率随着穿孔过程的发展逐渐增大。组织电导率变化前后,2种肿瘤模型中的各项数据如下:1)不可逆电穿孔电场消融的肿瘤体积与肿瘤总体积之比分别从0.867 7升至0.927 0(球形肿瘤)以及从0.451 1升至0.772 1(椭球形肿瘤);2)不可逆电穿孔电场造成正常组织损伤的体积与肿瘤总体积之比分别从0.745 9降至0.678 2(球形肿瘤)以及从0.816 4降至0.603 6(椭球形肿瘤);3)温升〉1℃的正常组织的最大体积只有肿瘤体积的1.16%,说明正常组织的温升对组织整体温度变化的影响较小。因此,组织不可逆电穿孔过程中,增大电导率能在促进电脉冲对肿瘤的消融效果的同时减小其对正常组织的损伤,且脉冲作用造成的组织温升不会造成组织的热损伤。
In order to investigate the influences of tissue electrical conductivity on the electric field distributions and temperature in tissue during irreversible electroporation, we built the numerical models of spherical tumor and ellipsoidal tumor of rat liver using the software COMSOL. Through varying the conductivity of the tumor models, we obtained the electric field and temperature distributions in tumor and healthy tissue. The results show that the tissue electrical conductivity will increase with the process of irreversible electroporation. After the changes of electrical conductivity, some parameter variations of the two tumor models are as follows:1)The ratio of the ablation volume in tumor to the whole tumor volume increases from 0.867 7 to 0.927 0 in spherical tumor, and it increases from 0.451 1 to 0.772 1 in ellipsoidal tumor. 2) The ratio of the injury volume in healthy tissue to the whole tumor volume decreases from 0.745 9 to 0.678 2 in spherical tumor, and it decreases from 0.816 4 to 0.603 6 in ellipsoidal tumor. 3) The maximum healthy tissue volume with temperature rise more than 1 ℃ accounts for only 1.16% of the whole tumor volume, indicating that the temperature rise in healthy tissue hardly affects the holistic temperature change of tissue. Therefore, during the irreversible electroporation in tissue, increasing tissue electrical conductivity will improve the tumor melting effect and reduce the damage of healthy issue. Meanwhile, the temperature rise caused by electrical pulses does not induce thermal damage to healthy tissue.