Paolo Zunino
Polytechnic University of Milan
Porous mediumBiot numberPhysicsMathematical optimizationMicrocirculationMathematical analysisFinite element methodBiomedical engineeringPoromechanicsMaterials scienceStentApplied mathematicsDrug releaseMathematicsFlow (mathematics)Computer scienceComputer simulationMechanicsMedicineDiscretizationPartial differential equation
160Publications
27H-index
2,086Citations
Publications 146
Newest
#1Nicolás Barnafi (Polytechnic University of Milan)H-Index: 1
#2Paolo Zunino (Polytechnic University of Milan)H-Index: 27
Last. Alfio Quarteroni (Polytechnic University of Milan)H-Index: 83
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Abstract We describe the behavior of a deformable porous material by means of a poro-hyperelastic model that has been previously proposed in Chapelle and Moireau (2014) under general assumptions for mass and momentum balance and isothermal conditions for a two-component mixture of fluid and solid phases. In particular, we address here a linearized version of the model, based on the assumption of small displacements. We consider the mathematical analysis and the numerical approximation of the pro...
2 CitationsSource
#1Nicola Rares Franco (Ghent University Hospital)
#1Nicola Rares Franco (Ghent University Hospital)H-Index: 1
Last. Tiziana RancatiH-Index: 27
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AIM To identify the effect of single nucleotide polymorphism (SNP) interactions on the risk of toxicity following radiotherapy (RT) for prostate cancer (PCa) and propose a new method for polygenic risk score incorporating SNP-SNP interactions (PRSi). MATERIALS AND METHODS Analysis included the REQUITE PCa cohort that received external beam RT and was followed for 2 years. Late toxicity endpoints were: rectal bleeding, urinary frequency, haematuria, nocturia, decreased urinary stream. Among 43 li...
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#2Andrea ManzoniH-Index: 22
Last. Paolo ZuninoH-Index: 27
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Within the framework of parameter dependent PDEs, we develop a constructive approach based on Deep Neural Networks for the efficient approximation of the parameter-to-solution map. The research is motivated by the limitations and drawbacks of state-of-the-art algorithms, such as the Reduced Basis method, when addressing problems that show a slow decay in the Kolmogorov n-width. Our work is based on the use of deep autoencoders, which we employ for encoding and decoding a high fidelity approximat...
#1S Pozzi (Polytechnic University of Milan)H-Index: 2
#2Maurizio Domanin (University of Milan)H-Index: 9
Last. Christian Vergara (Polytechnic University of Milan)H-Index: 24
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We propose a surrogate model for the fluid-structure interaction (FSI) problem for the study of blood dynamics in carotid arteries in presence of plaque. This is based on the integration of a numerical model with subject-specific data and clinical imaging. We propose to model the plaque as part of the tissues surrounding the vessel wall through the application of an elastic support boundary condition. In order to characterize the plaque and other surrounding tissues, such as the close-by jugular...
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Coupled partial differential equations (PDEs) defined on domains with different dimensionality are usually called mixed-dimensional PDEs. We address mixed-dimensional PDEs on three-dimensional (3D)...
2 CitationsSource
#1Michela Carlotta Massi (Polytechnic University of Milan)H-Index: 2
Last. Paolo ZuninoH-Index: 27
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Logistic Regression (LR) is a widely used statistical method in empirical binary classification studies. However, real-life scenarios oftentimes share complexities that prevent from the use of the as-is LR model, and instead highlight the need to include high-order interactions to capture data variability. This becomes even more challenging because of: (i) datasets growing wider, with more and more variables; (ii) studies being typically conducted in strongly imbalanced settings; (iii) samples g...
Emerging studies address how COVID-19 infection can impact the human cardiovascular system This relates particularly to the development of myocardial injury, acute coronary syndrome, myocarditis, arrhythmia, and heart failure Prospective treatment approach is advised for these patients To study the interplay between local changes (reduced contractility), global variables (peripheral resistances, heart rate) and the cardiac function, we considered a lumped parameters computational model of the ca...
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#1Simone Di Gregorio (Polytechnic University of Milan)H-Index: 3
#2Marco Fedele (Polytechnic University of Milan)H-Index: 5
Last. Alfio Quarteroni (EPFL: École Polytechnique Fédérale de Lausanne)H-Index: 83
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Abstract In this paper we present a mathematical and numerical model for human cardiac perfusion which accounts for the different length scales of the vessels in the coronary tree. Epicardial vessels are represented with fully three-dimensional (3D) fluid-dynamics, whereas intramural vessels are modeled as a multi-compartment porous medium. The coupling of these models takes place through interface conditions based on the continuity of mass and momentum. Instead, is neglected in this first preli...
5 CitationsSource
#1Jakub Wiktor BothH-Index: 5
#2Nicolás BarnafiH-Index: 1
Last. Alfio QuarteroniH-Index: 83
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We address numerical solvers for a poromechanics model particularly adapted for soft materials, as it generally respects thermodynamics principles and energy balance. Considering the multi-physics nature of the problem, which involves solid and fluid species, interacting on the basis of mass balance and momentum conservation, we decide to adopt a solution strategy of the discrete problem based on iterative splitting schemes. As the model is similar (but not equivalent to) the Biot poromechanics ...
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