A computational framework is presented to numerically simulate the effects of antihypertensive drugs, in particular calcium channel blockers, on the mechanical response of arterial walls. A stretch-dependent smooth muscle model by Uhlmann and Balzani is modified to describe the interaction of pharmacological drugs and the inhibition of smooth muscle activation. The coupled deformation-diffusion problem is then solved using the finite element software FEDDLib and overlapping Schwarz preconditioners from the Trilinos package FROSch. These preconditioners include highly scalable parallel GDSW (generalized Dryja-Smith-Widlund) and RDSW (reduced GDSW) preconditioners. Simulation results show the expected increase in the lumen diameter of an idealized artery due to the drug-induced reduction of smooth muscle contraction, as well as a decrease in the rate of arterial contraction in the presence of calcium channel blockers. Strong and weak parallel scalability of the resulting computational implementation are also analyzed.

翻译：提出了一种计算框架，用于数值模拟抗高血压药物（特别是钙通道阻滞剂）对动脉壁力学响应的影响。对Uhlmann和Balzani提出的依赖于拉伸的平滑肌模型进行了修正，以描述药物与平滑肌激活抑制之间的相互作用。随后，利用有限元软件FEDDLib及来自Trilinos包FROSch的重叠Schwarz预处理器，求解了耦合的变形-扩散问题。这些预处理器包括高度可扩展的并行GDSW（广义Dryja-Smith-Widlund）和RDSW（简化GDSW）预处理器。模拟结果显示，由于药物诱导的平滑肌收缩减弱，理想化动脉的管腔直径预期增加；同时，在钙通道阻滞剂存在的情况下，动脉收缩速率降低。此外，还分析了所实现计算程序的强可扩展性与弱可扩展性。