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A computational framework is presented to numerically simulate the effects ofantihypertensive drugs, in particular calcium channel blockers, on themechanical response of arterial walls. A stretch-dependent smooth muscle modelby Uhlmann and Balzani is modified to describe the interaction ofpharmacological drugs and the inhibition of smooth muscle activation. Thecoupled deformation-diffusion problem is then solved using the finite elementsoftware FEDDLib and overlapping Schwarz preconditioners from the Trilinospackage 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 anidealized artery due to the drug-induced reduction of smooth musclecontraction, as well as a decrease in the rate of arterial contraction in thepresence of calcium channel blockers. Strong and weak parallel scalability ofthe resulting computational implementation are also analyzed.

A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods