MULTISCALE MODELING OF THE RESPIRATORY TRACT
From MaRDI portal
Publication:5305540
DOI10.1142/S0218202510004155zbMath1423.76515OpenAlexW2087906739WikidataQ58478363 ScholiaQ58478363MaRDI QIDQ5305540
Céline Grandmont, Leonardo Baffico, Bertrand Maury
Publication date: 22 March 2010
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202510004155
Flows in porous media; filtration; seepage (76S05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Physiological flows (76Z05)
Related Items (20)
Existence of solutions and continuous and semi-discrete stability estimates for 3D/0D coupled systems modelling airflows and blood flows ⋮ The Boussinesq System with Nonsmooth Boundary Conditions: Existence, Relaxation, and Topology Optimization ⋮ Stability estimates for Navier-Stokes equations and application to inverse problems ⋮ Numerical simulation and analysis of multiscale interface coupling between a poroelastic medium and a lumped hydraulic circuit: comparison between functional iteration and operator splitting methods ⋮ Energy-based operator splitting approach for the time discretization of coupled systems of partial and ordinary differential equations for fluid flows: the Stokes case ⋮ Mathematical and Numerical Analysis of Some FSI Problems ⋮ Boundary Stabilization of the Navier--Stokes Equations in the Case of Mixed Boundary Conditions ⋮ Homogenization of the steady-state Navier-Stokes equations with prescribed flux rate or pressure drop in a perforated pipe ⋮ A coupled model for the dynamics of gas exchanges in the human lung with Haldane and Bohr's effects ⋮ Identification of piecewise constant Robin coefficient for the Stokes problem using the Levenberg-Marquardt method ⋮ Optimal conduit shape for Stokes flow ⋮ Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters ⋮ A boundary control problem for the blood flow in venous insufficiency. The general case ⋮ Quantification of the unique continuation property for the nonstationary Stokes problem ⋮ General coupling of porous flows and hyperelastic formulations -- from thermodynamics principles to energy balance and compatible time schemes ⋮ Artificial boundaries and formulations for the incompressible Navier-Stokes equations: applications to air and blood flows ⋮ Observer-based feedback boundary stabilization of the Navier-Stokes equations ⋮ On a fixed point study of an inverse problem governed by Stokes equation ⋮ Solvability in a finite pipe of steady-state Navier-Stokes equations with boundary conditions involving Bernoulli pressure ⋮ Homogenization of a multiscale viscoelastic model with nonlocal damping, application to the human lungs
Cites Work
- Unnamed Item
- Finite element approximation of the Navier-Stokes equations
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- A general two-compartment model for mechanical ventilation
- Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries
- Precised Hardy inequalities.
- Multiscale modelling of the respiratory track: a theoretical framework
- Impact of respiratory mechanics model parameters on gas exchange efficiency
- Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE and PDE for Blood Flow Simulations
- Applied Mathematical Models in Human Physiology
- Lp estimates of solutions tomixed boundary value problems for the Stokes system in polyhedral domains
- A viscoelastic model with non-local damping application to the human lungs
- ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
- Multiscale modelling of the circulatory system: a preliminary analysis
- Coupling between lumped and distributed models for blood flow problems.
This page was built for publication: MULTISCALE MODELING OF THE RESPIRATORY TRACT