1. A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods
- Author
-
Balzani, Daniel, Heinlein, Alexander, Klawonn, Axel, Knepper, Jascha, Ramesh, Sharan Nurani, Rheinbach, Oliver, Sassmannshausen, Lea, and Uhlmann, Klemens
- Subjects
Mathematics - Numerical Analysis ,Computer Science - Computational Engineering, Finance, and Science ,Computer Science - Distributed, Parallel, and Cluster Computing ,65N55, 6504, 65F08, 7404, 7410, 74F25 - Abstract
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.
- Published
- 2023