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435 Result(s)
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Article
Open AccessPhysics-informed neural network estimation of material properties in soft tissue nonlinear biomechanical models
The development of biophysical models for clinical applications is rapidly advancing in the research community, thanks to their predictive nature and their ability to assist the interpretation of clinical data...
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Article
Open AccessA comprehensive stroke risk assessment by combining atrial computational fluid dynamics simulations and functional patient data
Stroke, a major global health concern often rooted in cardiac dynamics, demands precise risk evaluation for targeted intervention. Current risk models, like the
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Article
Open AccessWhole-heart electromechanical simulations using Latent Neural Ordinary Differential Equations
Cardiac digital twins provide a physics and physiology informed framework to deliver personalized medicine. However, high-fidelity multi-scale cardiac models remain a barrier to adoption due to their extensive...
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Article
Open AccessA mathematical model to assess the effects of COVID-19 on the cardiocirculatory system
Impaired cardiac function has been described as a frequent complication of COVID-19-related pneumonia. To investigate possible underlying mechanisms, we represented the cardiovascular system by means of a lump...
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Article
A Reduced Order Model for Domain Decompositions with Non-conforming Interfaces
In this paper, we propose a reduced-order modeling strategy for two-way Dirichlet–Neumann parametric coupled problems solved with domain-decomposition (DD) sub-structuring methods. We split the original couple...
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Article
Open AccessLearning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks
Predicting the evolution of systems with spatio-temporal dynamics in response to external stimuli is essential for scientific progress. Traditional equations-based approaches leverage first principles through ...
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Chapter
Correction to: Talking about Optimal Transport
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Chapter
Talking about Optimal Transport
In this session, we have the pleasure of hosting Luigi Ambrosio, a professor at the Scuola Normale Superiore in Pisa, Italy, as our guest. Professor Ambrosio, who recently co-authored the new textbook, Lectures o...
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Book
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Article
Open Accesslifex-ep: a robust and efficient software for cardiac electrophysiology simulations
Simulating the cardiac function requires the numerical solution of multi-physics and multi-scale mathematical models. This underscores the need for streamlined, accurate, and high-performance computational too...
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Article
A mathematical model of the human heart suitable to address clinical problems
In this paper, we present a mathematical model capable of simulating the human cardiac function. We review the basic equations of the model, their coupling, the numerical approach for the computer solution of ...
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Article
Open AccessA comprehensive mathematical model for cardiac perfusion
The aim of this paper is to introduce a new mathematical model that simulates myocardial blood perfusion that accounts for multiscale and multiphysics features. Our model incorporates cardiac electrophysiology...
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Article
Open AccessAn Image-Based Computational Fluid Dynamics Study of Mitral Regurgitation in Presence of Prolapse
In this work we performed an imaged-based computational study of the systolic fluid dynamics in presence of mitral valve regurgitation (MVR). In particular, we compared healthy and different regurgitant scenar...
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Article
Open Accesslifex-fiber: an open tool for myofibers generation in cardiac computational models
Modeling the whole cardiac function involves the solution of several complex multi-physics and multi-scale models that are highly computationally demanding, which call for simpler yet accurate, high-performanc...
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Article
Open AccessEfficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces
One of the major challenges of coupled problems is to manage nonconforming meshes at the interface between two models and/or domains, due to different numerical schemes or domain discretizations employed. More...
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Article
Open AccessComputational electrophysiology of the coronary sinus branches based on electro-anatomical mapping for the prediction of the latest activated region
This work dealt with the assessment of a computational tool to estimate the electrical activation in the left ventricle focusing on the latest electrically activated segment (LEAS) in patients with left bundle...
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Article
Prediction of myocardial blood flow under stress conditions by means of a computational model
Quantification of myocardial blood flow (MBF) and functional assessment of coronary artery disease (CAD) can be achieved through stress myocardial computed tomography perfusion (stress-CTP). This requires an a...
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Chapter
Retrospective
I decided to study mathematics almost by accident. When I enrolled in the bachelor course in mathematics at University of Pavia in Italy I didn’t really know what to expect. I had completely insufficient backg...
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Chapter
Weather Forecast Models
Predicting tomorrow’s weather is a mathematical problem. The main quantities at stake are the air density, its temperature, pressure and speed. The current meteorological models are increasingly reliable, beca...
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Chapter
Artificial Intelligence, Learning Computers, Artificial Neural Networks
The question I’d like to answer, not necessarily in this chapter, is the following: can we replace mathematical models with artificial intelligence, more precisely with machine learning algorithms?