16 citations · 26 across the 5 of their papers we have counts for
6 papers
Cubature Kalman Filter Based Training of Hybrid Differential Equation Recurrent Neural Network Physiological Dynamic Models
Ahmet Demirkaya, Tales Imbiriba, Kyle Lockwood +5
Modeling biological dynamical systems is challenging due to the interdependence of different system components, some of which are not fully understood. To fill existing gaps in our…
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…
Energy-based operator splitting approach for the time discretization of coupled systems of partial and ordinary differential equations for fluid flows: The Stokes case
Lucia Carichino, Giovanna Guidoboni, Marcela Szopos
The goal of this work is to develop a novel splitting approach for the numerical solution of multiscale problems involving the coupling between Stokes equations and ODE systems, as…
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…