@article{caiazzo2016reduced,
  title={A reduced-order modeling for efficient design study of artificial valve in enlarged ventricular outflow tracts},
  author={Caiazzo, Alfonso and Guibert, Romain and Vignon-Clementel, Irene E},
  journal={Computer methods in Biomechanics and Biomedical engineering},
  volume={19},
  number={12},
  pages={1314--1318},
  year={2016},
  publisher={Taylor \& Francis}
}
@article{guibert2014group,
  title={Group-wise construction of reduced models for understanding and characterization of pulmonary blood flows from medical images},
  author={Guibert, Romain and Mcleod, Kristin and Caiazzo, Alfonso and Mansi, Tommaso and Fern{\'a}ndez, Miguel A and Sermesant, Maxime and Pennec, Xavier and Vignon-Clementel, Irene E and Boudjemline, Younes and Gerbeau, Jean-Fr{\'e}d{\'e}ric},
  journal={Medical image analysis},
  volume={18},
  number={1},
  pages={63--82},
  year={2014},
  publisher={Elsevier}
}
@article{pegolotti2024learning,
  title={Learning reduced-order models for cardiovascular simulations with graph neural networks},
  author={Pegolotti, Luca and Pfaller, Martin R and Rubio, Natalia L and Ding, Ke and Brufau, Rita Brugarolas and Darve, Eric and Marsden, Alison L},
  journal={Computers in Biology and Medicine},
  volume={168},
  pages={107676},
  year={2024},
  publisher={Elsevier}
}

@article{vignon2010primer,
  title={A primer on computational simulation in congenital heart disease for the clinician},
  author={Vignon-Clementel, Irene E and Marsden, Alison L and Feinstein, Jeffrey A},
  journal={Progress in Pediatric Cardiology},
  volume={30},
  number={1-2},
  pages={3--13},
  year={2010},
  publisher={Elsevier}
}
@article{vignon2006outflow,
  title={Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries},
  author={Vignon-Clementel, Irene E and Figueroa, C Alberto and Jansen, Kenneth E and Taylor, Charles A},
  journal={Computer methods in applied mechanics and engineering},
  volume={195},
  number={29-32},
  pages={3776--3796},
  year={2006},
  publisher={Elsevier}
}
@article{vignon2023proof,
  title={A proof-of-concept pipeline to guide evaluation of tumor tissue perfusion by dynamic contrast-agent imaging: Direct simulation and inverse tracer-kinetic procedures},
  author={Vignon-Clementel, Irene E and Jagiella, Nick and Dichamp, Jules and Kowalski, J{\'e}r{\^o}me and Lederle, Wiltrud and Laue, Hendrik and Kiessling, Fabian and Sedlaczek, Oliver and Drasdo, Dirk},
  journal={Frontiers in Bioinformatics},
  volume={3},
  pages={977228},
  year={2023},
  publisher={Frontiers}
}
@article{pant2022multiscale,
  title={Multiscale modelling of Potts shunt as a potential palliative treatment for suprasystemic idiopathic pulmonary artery hypertension: a paediatric case study},
  author={Pant, Sanjay and Sizarov, Aleksander and Knepper, Angela and Gossard, Ga{\"e}tan and Noferi, Alberto and Boudjemline, Younes and Vignon-Clementel, Irene},
  journal={Biomechanics and modeling in mechanobiology},
  pages={1--41},
  year={2022},
  publisher={Springer}
}
@article{papamanolis2021myocardial,
  title={Myocardial perfusion simulation for coronary artery disease: A coupled patient-specific multiscale model},
  author={Papamanolis, Lazaros and Kim, Hyun Jin and Jaquet, Clara and Sinclair, Matthew and Schaap, Michiel and Danad, Ibrahim and van Diemen, Pepijn and Knaapen, Paul and Najman, Laurent and Talbot, Hugues and others},
  journal={Annals of biomedical engineering},
  volume={49},
  pages={1432--1447},
  year={2021},
  publisher={Springer}
}
@article{jaquet2018generation,
  title={Generation of patient-specific cardiac vascular networks: a hybrid image-based and synthetic geometric model},
  author={Jaquet, Clara and Najman, Laurent and Talbot, Hugues and Grady, Leo and Schaap, Michiel and Spain, Buzzy and Kim, Hyun Jin and Vignon-Clementel, Irene and Taylor, Charles A},
  journal={IEEE Transactions on Biomedical Engineering},
  volume={66},
  number={4},
  pages={946--955},
  year={2018},
  publisher={IEEE}
}
@article{velickovic2017graph,
  title={Graph attention networks},
  author={Velickovic, Petar and Cucurull, Guillem and Casanova, Arantxa and Romero, Adriana and Lio, Pietro and Bengio, Yoshua and others},
  journal={stat},
  volume={1050},
  number={20},
  pages={10--48550},
  year={2017}
}
@inproceedings{zhao2021gau,
  title={GAU-Nets: Graph Attention U-Nets for Image Classification},
  author={Zhao, Haoran and Zhang, Chengwei},
  booktitle={Journal of Physics: Conference Series},
  volume={1861},
  pages={012045},
  year={2021},
  organization={IOP Publishing}
}
@article{geuzaine2009gmsh,
  title={Gmsh: A 3-D finite element mesh generator with built-in pre-and post-processing facilities},
  author={Geuzaine, Christophe and Remacle, Jean-Fran{\c{c}}ois},
  journal={International journal for numerical methods in engineering},
  volume={79},
  number={11},
  pages={1309--1331},
  year={2009},
  publisher={Wiley Online Library}
}
@article{qi2017pointnet++,
  title={Pointnet++: Deep hierarchical feature learning on point sets in a metric space},
  author={Qi, Charles Ruizhongtai and Yi, Li and Su, Hao and Guibas, Leonidas J},
  journal={Advances in neural information processing systems},
  volume={30},
  year={2017}
}
@inproceedings{liu2021multi,
  title={Multi-resolution graph neural networks for pde approximation},
  author={Liu, Wenzhuo and Yagoubi, Mouadh and Schoenauer, Marc},
  booktitle={Artificial Neural Networks and Machine Learning--ICANN 2021: 30th International Conference on Artificial Neural Networks, Bratislava, Slovakia, September 14--17, 2021, Proceedings, Part III 30},
  pages={151--163},
  year={2021},
  organization={Springer}
}

@article{nastorg2023implicit,
  title={An Implicit GNN Solver for Poisson-like problems},
  author={Nastorg, Matthieu and Bucci, Michele-Alessandro and Faney, Thibault and Gratien, Jean-Marc and Charpiat, Guillaume and Schoenauer, Marc},
  journal={arXiv preprint arXiv:2302.10891},
  year={2023}
}
@article{li2023finite,
  title={Finite Volume Graph Network (FVGN): Predicting unsteady incompressible fluid dynamics with finite volume informed neural network},
  author={Li, Tianyu and Zhou, Shufan and Chang, Xinghua and Zhang, Laiping and Deng, Xiaogang},
  journal={arXiv preprint arXiv:2309.10050},
  year={2023}
}
@article{schwarz2023beyond,
  title={Beyond CFD: Emerging methodologies for predictive simulation in cardiovascular health and disease},
  author={Schwarz, Erica L and Pegolotti, Luca and Pfaller, Martin R and Marsden, Alison L},
  journal={Biophysics Reviews},
  volume={4},
  number={1},
  year={2023},
  publisher={AIP Publishing}
}
@article{raissi2019physics,
  title={Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations},
  author={Raissi, Maziar and Perdikaris, Paris and Karniadakis, George E},
  journal={Journal of Computational physics},
  volume={378},
  pages={686--707},
  year={2019},
  publisher={Elsevier}
}
@article{zhao2023physics,
  title={Physics-informed convolutional neural networks for temperature field prediction of heat source layout without labeled data},
  author={Zhao, Xiaoyu and Gong, Zhiqiang and Zhang, Yunyang and Yao, Wen and Chen, Xiaoqian},
  journal={Engineering Applications of Artificial Intelligence},
  volume={117},
  pages={105516},
  year={2023},
  publisher={Elsevier}
}
@article{wandel2021teaching,
  title={Teaching the incompressible Navier--Stokes equations to fast neural surrogate models in three dimensions},
  author={Wandel, Nils and Weinmann, Michael and Klein, Reinhard},
  journal={Physics of Fluids},
  volume={33},
  number={4},
  year={2021},
  publisher={AIP Publishing}
}
@article{taylor2013computational,
  title={Computational fluid dynamics applied to cardiac computed tomography for noninvasive quantification of fractional flow reserve: scientific basis},
  author={Taylor, Charles A and Fonte, Timothy A and Min, James K},
  journal={Journal of the American College of Cardiology},
  volume={61},
  number={22},
  pages={2233--2241},
  year={2013},
  publisher={American College of Cardiology Foundation Washington, DC}
}

@article{chapelle2010poroelastic,
  title={A poroelastic model valid in large strains with applications to perfusion in cardiac modeling},
  author={Chapelle, Dominique and Gerbeau, J-F and Sainte-Marie, J and Vignon-Clementel, IE},
  journal={Computational Mechanics},
  volume={46},
  pages={91--101},
  year={2010},
  publisher={Springer}
}
@article{rusch2023survey,
  title={A survey on oversmoothing in graph neural networks},
  author={Rusch, T Konstantin and Bronstein, Michael M and Mishra, Siddhartha},
  journal={arXiv preprint arXiv:2303.10993},
  year={2023}
}
@article{donon2020deep,
  title={Deep statistical solvers},
  author={Donon, Balthazar and Liu, Zhengying and Liu, Wenzhuo and Guyon, Isabelle and Marot, Antoine and Schoenauer, Marc},
  journal={Advances in Neural Information Processing Systems},
  volume={33},
  pages={7910--7921},
  year={2020}
}
@article{chen2021graph,
  title={Graph neural networks for laminar flow prediction around random two-dimensional shapes},
  author={Chen, Junfeng and Hachem, Elie and Viquerat, Jonathan},
  journal={Physics of Fluids},
  volume={33},
  number={12},
  year={2021},
  publisher={AIP Publishing}
}