6 citations · 13 across the 10 of their papers we have counts for
3 papers · 1 filter
A poroelastic model coupled to a fluid network with applications in lung modelling
Lorenz Berger, David Kay, Kelly Burrowes +3
Here we develop a lung ventilation model, based a continuum poroelastic representation of lung parenchyma and a 0D airway tree flow model. For the poroelastic approximation we desi…
Adaptive Finite Element Solution of Multiscale PDE-ODE Systems
A. Johansson, J. H. Chaudry, V. Carey +4
We consider adaptive finite element methods for solving a multiscale system consisting of a macroscale model comprising a system of reaction-diffusion partial differential equation…
Solving Stochastic Inverse Problems using Sigma-Algebras on Contour Maps
Troy Butler, Don Estep, Simon Tavener +3
We compute approximate solutions to inverse problems for determining parameters in differential equation models with stochastic data on output quantities. The formulation of the pr…