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What is Laplace Dirichlet-Rule-Based-Methods (LDRBMs)?

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Dr. Rishabh Pathak


 

Laplace-Dirichlet-Rule-Based-Methods (LDRBMs) are a class of Rule-Based-Methods (RBMs) used to generate cardiac muscle fiber orientations in electromechanical models. These methods define the orientation of myocardial fibers within the heart by solving Laplace boundary-value problems. Specifically, LDRBMs determine the transmural, apico-basal, and inter-ventricular distances as solutions to Laplace equations within the computational domain. By prescribing boundary conditions on the epicardial, endocardial, and base surfaces of the heart, LDRBMs provide a mathematical framework for generating realistic fiber architectures that play a crucial role in electric signal propagation and myocardial contraction. These methods are essential for accurately modeling the biomechanics of the heart and are widely used in computational cardiac electromechanics research.

 

Piersanti, R., Regazzoni, F., Salvador, M., Corno, A. F., Dede', L., Vergara, C., & Quarteroni, A. (2021). 3D-0D closed-loop model for the simulation of cardiac biventricular electromechanics. *arXiv preprint arXiv:2108.01907*.


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