Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of Covid-19 in Italy
G Bertaglia, L Pareschi - … Models and Methods in Applied Sciences, 2021 - World Scientific
The importance of spatial networks in the spread of an epidemic is an essential aspect in
modeling the dynamics of an infectious disease. Additionally, any realistic data-driven model …
modeling the dynamics of an infectious disease. Additionally, any realistic data-driven model …
[HTML][HTML] A dynamic multiscale model of cerebral blood flow and autoregulation in the microvasculature
A Daher, S Payne - Applied Mathematical Modelling, 2023 - Elsevier
Abstract Models of the micro-circulatory blood flow in the brain can play a key role in
understanding the variety of cerebrovascular diseases that occur in the microvasculature …
understanding the variety of cerebrovascular diseases that occur in the microvasculature …
New trends on the systems approach to modeling SARS-CoV-2 pandemics in a globally connected planet
G Bertaglia, A Bondesan, D Burini, R Eftimie… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper presents a critical analysis of the literature and perspective research ideas for
modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic …
modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic …
[HTML][HTML] High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties
In this paper, we are interested in the numerical study of the one-dimensional blood flow
model with discontinuous mechanical and geometrical properties. We present the …
model with discontinuous mechanical and geometrical properties. We present the …
[HTML][HTML] Two-phase bio-nanofluid flow through a bifurcated artery with magnetic field interaction
A modified multiphase flow model is applied for a better understanding of bio-nanofluid
(blood containing 4%(w/v) Fe 3 O 4 nanoparticles) flow regimes through a real bifurcated …
(blood containing 4%(w/v) Fe 3 O 4 nanoparticles) flow regimes through a real bifurcated …
First blood: An efficient, hybrid one‐and zero‐dimensional, modular hemodynamic solver
Abstract Low‐dimensional (1D or 0D) models can describe the whole human blood
circulation, for example, 1D distributed parameter model for the arterial network and 0D …
circulation, for example, 1D distributed parameter model for the arterial network and 0D …
[HTML][HTML] A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels
A novel staggered semi-implicit finite volume method for the simulation of one-dimensional
blood flow in networks of elastic and viscoelastic vessels is proposed. The one-dimensional …
blood flow in networks of elastic and viscoelastic vessels is proposed. The one-dimensional …
Electropneumatic system for the simulation of the pulmonary viscoelastic effect in a mechanical ventilation scenario
The viscoelastic properties of the lung have important implications during respiratory
mechanics in terms of lung movement or work of breathing, for example. However, this …
mechanics in terms of lung movement or work of breathing, for example. However, this …
Effects of viscosity and induced magnetic fields on weakly nonlinear wave transmission in a viscoelastic tube using physics-informed neural networks
This study presents an advanced deep learning methodology that utilizes physics-informed
neural networks (PINNs), to analyze the transmission of weakly nonlinear waves in a …
neural networks (PINNs), to analyze the transmission of weakly nonlinear waves in a …
Deep learning based solution of nonlinear partial differential equations arising in the process of arterial blood flow
The present work introduces a deep learning approach to describe the perturbations of the
pressure and radius in arterial blood flow. A mathematical model for the simulation of …
pressure and radius in arterial blood flow. A mathematical model for the simulation of …