9 citations · 11 across the 6 of their papers we have counts for
7 papers
A Stabilized Finite Element Method for Morpho-Visco-Poroelastic Model
Sabia Asghar, Duncan den Bakker, Etelvina Javierre +2
We propose a mathematical model that combines elastic, viscous and porous effects with growth or shrinkage due to microstructural changes. This phenomenon is important in tissue or…
Convergence of the Immersed Interface Method in Linear Elasticity
Sabia Asghar, Qiyao Peng, Etelvina Javierre +1
We consider an open, bounded, simply connected (Lipschitz) domain in , which contains a closed polyhedral surface or polygonal contour, referred to as the interface.…
Upscaling between an Agent-Based Model (Smoothed Particle Approach) and a Continuum-Based Model for Skin Contractions
Q. Peng, F. J. Vermolen
Skin contraction is an important biophysical process that takes place during and after the recovery of deep tissue injury. This process is mainly caused by fibroblasts (skin cells)…
A Formalism for Modelling Traction forces and Cell Shape Evolution during Cell Migration in Various Biomedical Processes
Qiyao Peng, Fred Vermolen, Daphne Weihs
The phenomenological model for cell shape deformation and cell migration (Chen et.al. 2018; Vermolen and Gefen 2012) is extended with the incorporation of cell traction forces and…
Network-inspired versus Kozeny-Carman based permeability-porosity relations applied to Biot's poroelasticity model
Menel Rahrah, Luis A. Lopez-Peña, Fred Vermolen +1
Water injection in the aquifer induces deformations in the soil. These mechanical deformations give rise to a change in porosity and permeability, which results in non-linearity of…
A Spatial Markov Chain Cellular Automata Model for the Spread of Viruses
Fred Vermolen
We consider a Spatial Markov Chain model for the spread of viruses. The model is based on the principle to represent a graph connecting nodes, which represent humans. The vertices…