Print Email Facebook Twitter A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods Title A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods Author Balzani, Daniel (Center for Interface-Dominated High Performance Materials) Heinlein, A. (TU Delft Delft Institute of Applied Mathematics; TU Delft Numerical Analysis) Klawonn, Axel (University of Cologne) Knepper, Jascha (University of Cologne) Nurani Ramesh, Sharan (Center for Interface-Dominated High Performance Materials) Rheinbach, Oliver (University of Technology Bergakademie Freiberg) Saßmannshausen, Lea (University of Cologne) Uhlmann, Klemens (Center for Interface-Dominated High Performance Materials) Date 2024 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 RGDSW (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. Subject calcium channel blockersdomain decomposition methodsdrug transportfinite element methodGDSW coarse spacehypertensioniterative solversoverlapping SchwarzRGDSW coarse spacescalable preconditionerssmooth muscle cellsstructural mechanics To reference this document use: http://resolver.tudelft.nl/uuid:72083644-74c4-49fd-8314-0f7e6ecf5de0 DOI https://doi.org/10.1002/gamm.202370002 ISSN 0936-7195 Source GAMM Mitteilungen, 47 (1) Part of collection Institutional Repository Document type journal article Rights © 2024 Daniel Balzani, A. Heinlein, Axel Klawonn, Jascha Knepper, Sharan Nurani Ramesh, Oliver Rheinbach, Lea Saßmannshausen, Klemens Uhlmann Files PDF GAMM-Mitteilungen_-_2024_ ... _using.pdf 3.54 MB Close viewer /islandora/object/uuid:72083644-74c4-49fd-8314-0f7e6ecf5de0/datastream/OBJ/view