16 citations · 29 across the 8 of their papers we have counts for
9 papers
Eye2Heart : a validated lumped-parameter model bridging cardiovascular and ocular dynamics
Lorenzo Sala, Mohamed Zaid, Faith Hughes +5
The cardiovascular and ocular systems are intricately connected, with hemodynamic interactions playing a crucial role in both physiological regulation and pathological conditions.…
Mathematical modeling and simulation of coupled aqueous humor flow and temperature distribution in a realistic 3D human eye geometry
Thomas Saigre, Vincent Chabannes, Christophe Prud'Homme +1
We present a comprehensive computational model to simulate the coupled dynamics of aqueous humor flow and heat transfer in the human eye. To manage the complexity of the model, we…
A coupled fluid-dynamics-heat transfer model for 3D simulations of the aqueous humor flow in the human eye
Thomas Saigre, Christophe Prud'Homme, Marcela Szopos +1
Understanding human eye behavior involves intricate interactions between physical phenomena such as heat transfer and fluid dynamics. Accurate computational models are vital for co…
Model order reduction and sensitivity analysis for complex heat transfer simulations inside the human eyeball
Thomas Saigre, Christophe Prud'Homme, Marcela Szopos
Heat transfer in the human eyeball, a complex organ, is significantly influenced by various pathophysiological and external parameters. Particularly, heat transfer critically affec…
Uncertainty propagation and sensitivity analysis: results from the Ocular Mathematical Virtual Simulator
Christophe Prud'Homme, Lorenzo Sala, Marcela Szopos
We propose an uncertainty propagation study and a sensitivity analysis with the Ocular Mathematical Virtual Simulator, a computational and mathematical model that predicts the hemo…
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…
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…
High order finite element simulations for fluid dynamics validated by experimental data from the fda benchmark nozzle model
Vincent Chabannes, Christophe Prud'Homme, Marcela Szopos +1
The objective of the present work is to construct a sound mathematical, numerical and computational framework relevant to blood flow simulations and to assess it through a careful…
On discretization in time in simulations of particulate flows
Matthieu Hillairet, Alexei Lozinski, Marcela Szopos
We propose a time discretization scheme for a class of ordinary differential equations arising in simulations of fluid/particle flows. The scheme is intended to work robustly in th…