胰腺癌中125I粒子植入治疗和PD-L1抑制剂治疗的数学模型OA

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.