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利用边界元技术研究电脉冲特性对电穿孔和血管收缩的癌组织中化疗药物的细胞内化和细胞存活分数的影响。

Influence of electric pulse characteristics on the cellular internalization of chemotherapeutic drugs and cell survival fraction in electroporated and vasoconstricted cancer tissues using boundary element techniques.

机构信息

Grupo de Investigación e Innovación Ambiental (GIIAM), Institución Universitaria Pascual Bravo, Cl. 73 No 73A-226 (Bloque 7), Medellín, Colombia.

Grupo de Investigación de Ciencias Administrativas, Instituto Tecnológico Metropolitano - ITM, Medellín, Colombia.

出版信息

J Math Biol. 2023 Jul 18;87(2):31. doi: 10.1007/s00285-023-01963-z.

Abstract

Electroporation has emerged as a suitable technique to induce the pore formation in the cell membrane of cancer tissues, facilitating the cellular internalization of chemotherapeutic drugs. An adequate selection of the electric pulse characteristics is crucial to guarantee the efficiency of this technique, minimizing the adverse effects. In the present work, the dual reciprocity boundary element method (DR-BEM) is applied for the simulation of drug transport in the extracellular and intracellular space of cancer tissues subjected to the application of controlled electric pulses, using a continuum tumour cord approach, and considering both the electro-permeabilization and vasoconstriction phenomena. The developed DR-BEM algorithm is validated with numerical and experimental results previously published, obtaining a satisfactory accuracy and convergence. Using the DR-BEM code, a study about the influence of the magnitude of electric field (E) and pulse spacing (d) on the time behavior and spatial distribution of the internalized drug, as well as on the cell survival fraction, is carried out. In general, the change of drug concentration, drug exposure and cell survival fraction with the parameters E and d is ruled by two important factors: the balance between the electro-permeabilization and vasoconstriction phenomena, and the relative importance of the sources of cell death (electric pulses and drug cytotoxicity); these two factors, in turn, significantly depend on the reversible and irreversible thresholds considered for the electric field.

摘要

电穿孔已成为一种合适的技术,可以在癌细胞的细胞膜中诱导孔的形成,从而促进化疗药物的细胞内化。适当选择电脉冲特性对于保证该技术的效率至关重要,可以最大程度地减少不良反应。在本工作中,应用双互易边界元法(DR-BEM),使用连续肿瘤索方法,模拟在应用控制电脉冲后,癌细胞外和细胞内空间中的药物传输,同时考虑电穿孔和血管收缩现象。所开发的 DR-BEM 算法已通过先前发表的数值和实验结果进行了验证,获得了令人满意的准确性和收敛性。使用 DR-BEM 代码,研究了电场强度 (E) 和脉冲间隔 (d) 对内化药物的时间行为和空间分布以及细胞存活率的影响。一般来说,药物浓度、药物暴露和细胞存活率随参数 E 和 d 的变化受两个重要因素的支配:电穿孔和血管收缩现象之间的平衡,以及细胞死亡的来源(电脉冲和药物细胞毒性)的相对重要性;这两个因素反过来又取决于为电场考虑的可逆和不可逆阈值。

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