30 citations · 88 across the 11 of their papers we have counts for
14 papers
Cardiovascular function and ballistocardiogram: a relationship interpreted via mathematical modeling
Giovanna Guidoboni, Lorenzo Sala, Moein Enayati +7
Objective: to develop quantitative methods for the clinical interpretation of the ballistocardiogram (BCG). Methods: a closed-loop mathematical model of the cardiovascular system i…
A Stabilized Dual Mixed Hybrid Finite Element Method with Lagrange multipliers for Three-Dimensional Problems with Internal Interfaces
Riccardo Sacco, Aurelio Giancarlo Mauri, Giovanna Guidoboni
This work focuses on a class of elliptic boundary value problems with diffusive, advective and reactive terms, motivated by the study of three-dimensional heterogeneous physical sy…
A Theoretical Study of Aqueous Humor Secretion Based on a Continuum Model Coupling Electrochemical and Fluid-Dynamical Transmembrane Mechanisms
Lorenzo Sala, Aurelio Giancarlo Mauri, Riccardo Sacco +3
Intraocular pressure, resulting from the balance of aqueous humor (AH) production and drainage, is the only approved treatable risk factor in glaucoma. AH production is determined…
The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics
Maurizio Verri, Giovanna Guidoboni, Lorena Bociu +1
The main goal of this work is to clarify and quantify, by means of mathematical analysis, the role of structural viscoelasticity in the biomechanical response of deformable porous…
Solution Map Analysis of a Multiscale Drift-Diffusion Model for Organic Solar Cells
Maurizio Verri, Matteo Porro, Riccardo Sacco +1
In this article we address the theoretical study of a multiscale drift-diffusion (DD) model for the description of photoconversion mechanisms in organic solar cells. The multiscale…
A Poroelastic Mixture Model of Mechanobiological Processes in Tissue Engineering. Part II: Numerical Simulations
Chiara Lelli, Riccardo Sacco, Paola Causin +1
In Part I of this article we have developed a novel mechanobiological model of a Tissue Engineering process that accounts for the mechanisms through which an isotropic or anisotrop…
A Poroelastic Mixture Model of Mechanobiological Processes in Tissue Engineering. Part I: Mathematical Formulation
Chiara Lelli, Riccardo Sacco, Paola Causin +1
An adequate control of cell response in tissue engineering applications is of utmost importance to obtain products suitable to clinical practice. This paper is the first part of a…
Three-Dimensional Simulation of Biological Ion Channels Under Mechanical, Thermal and Fluid Forces
Riccardo Sacco, Paolo Airoldi, Aurelio G. Mauri +1
In this article we address the three-dimensional modeling and simulation of biological ion channels using a continuum-based approach. Our multi-physics formulation self-consistentl…
Modeling and Simulation of Thermo-Fluid-Electrochemical Ion Flow in Biological Channels
Riccardo Sacco, Fabio Manganini, Joseph W. Jerome
In this article we address the study of ion charge transport in the biological channels separating the intra and extracellular regions of a cell. The focus of the investigation is…
Hierarchical Electrochemical Modeling and Simulation of Bio-Hybrid Interfaces
Emanuela Abbate, Matteo Porro, Thierry Nieus +1
In this article we propose and investigate a hierarchy of mathematical models based on partial differential equations (PDE) and ordinary differential equations (ODE) for the simula…
3D Finite Element Modeling of Current Densities in Semiconductor Transport with Impact Ionization
Aurelio Mauri, Andrea Bortolossi, Giovanni Novielli +1
In this article we propose two novel 3D finite element models, denoted method A and B, for electron and hole Drift-Diffusion (DD) current densities. Method A is based on a primal-m…
A Multiscale Thermo-Fluid Computational Model for a Two-Phase Cooling System
Riccardo Sacco, Lucia Carichino, Carlo de Falco +3
In this paper, we describe a mathematical model and a numerical simulation method for the condenser component of a novel two-phase thermosyphon cooling system for power electronics…
Multiscale Modeling and Simulation of Organic Solar Cells
Carlo de Falco, Matteo Porro, Riccardo Sacco +1
In this article, we continue our mathematical study of organic solar cells (OSCs) and propose a two-scale (micro- and macro-scale) model of heterojunction OSCs with interface geome…
Analytical and Numerical Study of Photocurrent Transients in Organic Polymer Solar Cells
Carlo de Falco, Riccardo Sacco, Maurizio Verri
This article is an attempt to provide a self consistent picture, including existence analysis and numerical solution algorithms, of the mathematical problems arising from modeling…