辽宁大学学报（自然科学版）2026，Vol.53Issue(1)：28-40,13.
胰腺癌中125I粒子植入治疗和PD-L1抑制剂治疗的数学模型
Mathematical Model of 125 I Seed Implantation Therapy and PD-L1 Inhibitor Therapy in Pancreatic Cancer
摘要
Abstract
This study develops a partial differential equation(PDE)model to investigate the combined therapeutic effects of 125 I seed implantation and PD-L1 inhibitors for pancreatic cancer.The model incorporates the regulatory role of collagen fibers on drug transport to enhance the accuracy of simulating the treatment process.Accounting for the temporal decay characteristics and spatial dose distribution features of radioactive particles,we reformulate the mathematical expression of the radiotherapy term,evolving it from a constant function to a spatiotemporal-dependent function.The impact of dose distribution on treatment efficacy is analyzed by comparing four spatial configurations of radioactive sources:central overlapping,edge symmetry,intermediate symmetry,and layered distribution.Numerical simulations indicate that the layered distribution yields the optimal tumor suppression effect under radiotherapy alone.Moreover,when combined with PD-L1 inhibitor therapy,both the central overlapping and layered configurations—which exhibited the most divergent efficacies in monotherapy—demonstrate significant synergistic effects.关键词
肿瘤生长/数学模型/粒子植入治疗/放射源配置Key words
tumor growth/mathematical model/seed implantation therapy/radiation source configuration分类
数理科学引用本文复制引用
亓菲,刘海蓉..胰腺癌中125I粒子植入治疗和PD-L1抑制剂治疗的数学模型[J].辽宁大学学报（自然科学版）,2026,53(1):28-40,13.基金项目
国家自然科学基金(12471198) （12471198）
南京理工大学研究生教育教学改革课题(KT2024C10) （KT2024C10）
