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A reduced-order model based on the coupled 1D-3D finite element simulations for an efficient analysis of hemodynamics problems

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Abstract

A reduced-order model for an efficient analysis of cardiovascular hemodynamics problems using multiscale approach is presented in this work. Starting from a patient-specific computational mesh obtained by medical imaging techniques, an analysis methodology based on a two-step automatic procedure is proposed. First a coupled 1D-3D Finite Element Simulation is performed and the results are used to adjust a reduced-order model of the 3D patient-specific area of interest. Then, this reduced-order model is coupled with the 1D model. In this way, three-dimensional effects are accounted for in the 1D model in a cost effective manner, allowing fast computation under different scenarios. The methodology proposed is validated using a patient-specific aortic coarctation model under rest and non-rest conditions.

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Acknowledgments

This research was supported by the HFLUIDS project of the National RTD Plan of the Spanish Ministry of Science and Innovation I+D BIA2010-15880 and by the ERC Advanced Grant projects ”REALTIME”(AdG-2009325) and ”SAFECON”(AdG-267521). We also thank Dr.Pooyan Dadvand for his support on the implementation of the reduced-order model in KRATOS and Mr.Maurizio Bordone for his help during the fitting of the terminal resistances during training and computation phases.

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Correspondence to Sergio Idelsohn.

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Soudah, E., Rossi, R., Idelsohn, S. et al. A reduced-order model based on the coupled 1D-3D finite element simulations for an efficient analysis of hemodynamics problems. Comput Mech 54, 1013–1022 (2014). https://doi.org/10.1007/s00466-014-1040-2

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  • DOI: https://doi.org/10.1007/s00466-014-1040-2

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