10 citations · 48 across the 12 of their papers we have counts for
8 papers · 1 filter
A Stabilized Finite Element Method for a Morpho-Visco-Poroelastic Model
Sabia Asghar, Duncan den Bakker, Etelvina Javierre +2
Studying the structure of soft tissues is important and relevant in biology, particularly in some diseases, such as tumor growth and dermal contraction after burn injury. Based on…
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 one-dimensional morphoelastic model for burn injuries: sensitivity analysis and a feasibility study
Ginger Egberts, Fred Vermolen, Paul van Zuijlen
We consider a one-dimensional morphoelastic model describing post-burn scar contraction. This model describes the displacement of the dermal layer of the skin and the development o…
A one-dimensional morphoelastic model for burn injuries: stability analysis, numerical validation and biological interpretation
Ginger Egberts, Fred Vermolen, Paul van Zuijlen
To deal with permanent deformations and residual stresses, we consider a morphoelastic model for the scar formation as the result of wound healing after a skin trauma. Next to the…
Numerical Methods to Compute Stresses and Displacements from Cellular Forces: Application to the Contraction of Tissue
Qiyao Peng, Fred Vermolen
We consider a mathematical model for wound contraction, which is based on solving a momentum balance under the assumptions of isotropy, homogeneity, Hooke's Law, infinitesimal stra…
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…
Isogeometric Analysis of the Gray-Scott Reaction-Diffusion Equations for Pattern Formation on Evolving Surfaces and Applications to Human Gyrification
Jochen Hinz, Joost van Zwieten, Matthias Möller +1
We propose a numerical scheme based on the principles of Isogeometric Analysis (IgA) for a geometrical pattern formation induced evolution of manifolds. The development is modelled…