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A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations

Mathematics of computation, 2023-03, Vol.92 (340), p.483-524

2023

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A computational model applied to myocardial perfusion in the human heart: From large coronaries to microvasculature

Journal of computational physics, 2021-01, Vol.424, p.109836, Article 109836

2021

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A computational study of cancer hyperthermia based on vascular magnetic nanoconstructs

Royal Society open science, 2016-09, Vol.3 (9), p.160287-160287

2016

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Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport

ESAIM: Mathematical Modelling and Numerical Analysis, 2011-05, Vol.45 (3), p.447-476

2011

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Learning high-order interactions for polygenic risk prediction

PloS one, 2023-02, Vol.18 (2), p.e0281618-e0281618

2023

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Prediction of myocardial blood flow under stress conditions by means of a computational model

European journal of nuclear medicine and molecular imaging, 2022-05, Vol.49 (6), p.1894-1905

2022

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A mixture model for water uptake, degradation, erosion and drug release from polydisperse polymeric networks

Biomaterials, 2010-04, Vol.31 (11), p.3032-3042

2010

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Distributed and Lumped Parameter Models for the Characterization of High Throughput Bioreactors

PloS one, 2016-09, Vol.11 (9), p.e0162774-e0162774

2016

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Drug delivery patterns for different stenting techniques in coronary bifurcations: a comparative computational study

Biomechanics and modeling in mechanobiology, 2013-08, Vol.12 (4), p.657-669

2013

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Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction

ESAIM: Mathematical Modelling and Numerical Analysis, 2019-11, Vol.53 (6), p.2047-2080

2019

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Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains

Mathematical models & methods in applied sciences, 2023-11, Vol.33 (12), p.2425-2462

2023

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Modeling the cardiac response to hemodynamic changes associated with COVID-19: a computational study

Mathematical biosciences and engineering : MBE, 2021-07, Vol.18 (4), p.3364-3383

2021

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A three‐dimensional method for morphological analysis and flow velocity estimation in microvasculature on‐a‐chip

Bioengineering & translational medicine, 2023-09, Vol.8 (5), p.e10557-n/a

2023

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Analysis of backward Euler/extended finite element discretization of parabolic problems with moving interfaces

Computer methods in applied mechanics and engineering, 2013-05, Vol.258, p.152-165

Zunino, Paolo

2013

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Multiscale Modeling of Glacial Loading by a 3D Thermo-Hydro-Mechanical Approach Including Erosion and Isostasy

Geosciences (Basel), 2019-11, Vol.9 (11), p.465

2019

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Quantitative Approaches to Microcirculation: Mathematical Models, Computational Methods and Data Analysis

1, 2024

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Numerical solvers for a poromechanic problem with a moving boundary

Mathematics in engineering, 2019, Vol.1 (4), p.824-848

2019

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Approximation bounds for convolutional neural networks in operator learning

Neural networks, 2023-04, Vol.161, p.129-141

2023

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Mathematical and Numerical Modeling of Solute Dynamics in Blood Flow and Arterial Walls

SIAM journal on numerical analysis, 2002, Vol.39 (5), p.1488-1511

2002

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A Lagrange multiplier method for a Stokes–Biot fluid–poroelastic structure interaction model

Numerische Mathematik, 2018-10, Vol.140 (2), p.513-553

2018

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Mesh-Informed Neural Networks for Operator Learning in Finite Element Spaces

Journal of scientific computing, 2023-11, Vol.97 (2), p.35, Article 35

2023

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A computational framework for fluid–porous structure interaction with large structural deformation

Meccanica (Milan), 2019-01, Vol.54 (1-2), p.101-121

2019

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Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression

Computers & mathematics with applications (1987), 2023-11, Vol.149, p.1-23

2023

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Computational models for fluid exchange between microcirculation and tissue interstitium

Networks and heterogeneous media, 2014, Vol.9 (1), p.135-159

2014

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Modeling hypoxia-induced radiation resistance and the impact of radiation sources

Computers in biology and medicine, 2024-05, Vol.173, p.108334-108334, Article 108334

2024

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A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations

A computational model applied to myocardial perfusion in the human heart: From large coronaries to microvasculature

A computational study of cancer hyperthermia based on vascular magnetic nanoconstructs

Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport

Learning high-order interactions for polygenic risk prediction

Prediction of myocardial blood flow under stress conditions by means of a computational model

A mixture model for water uptake, degradation, erosion and drug release from polydisperse polymeric networks

Distributed and Lumped Parameter Models for the Characterization of High Throughput Bioreactors

Drug delivery patterns for different stenting techniques in coronary bifurcations: a comparative computational study

Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction

Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains

Modeling the cardiac response to hemodynamic changes associated with COVID-19: a computational study

A three‐dimensional method for morphological analysis and flow velocity estimation in microvasculature on‐a‐chip

Analysis of backward Euler/extended finite element discretization of parabolic problems with moving interfaces

Multiscale Modeling of Glacial Loading by a 3D Thermo-Hydro-Mechanical Approach Including Erosion and Isostasy

Quantitative Approaches to Microcirculation: Mathematical Models, Computational Methods and Data Analysis

Numerical solvers for a poromechanic problem with a moving boundary

Approximation bounds for convolutional neural networks in operator learning

Mathematical and Numerical Modeling of Solute Dynamics in Blood Flow and Arterial Walls

A Lagrange multiplier method for a Stokes–Biot fluid–poroelastic structure interaction model

Mesh-Informed Neural Networks for Operator Learning in Finite Element Spaces

A computational framework for fluid–porous structure interaction with large structural deformation

Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression

Computational models for fluid exchange between microcirculation and tissue interstitium

Modeling hypoxia-induced radiation resistance and the impact of radiation sources

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