10 citations · 48 across the 12 of their papers we have counts for
13 papers
Mathematical modeling on peristaltic flow of a Prandtl fluid with effects of slip conditions and inclined magnetic field
Sabia Asghar, Fred J. Vermolen
The manuscript provides a description of a theoretical analysis of a non-Newtonian Prandtl fluid subject to peristaltic flow through an inclined asymmetric channel. We explore the…
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.…
Physical Confinement and Cell Proximity Increase Cell Migration Rates and Invasiveness: A Mathematical Model of Cancer Cell Invasion through Flexible Channels
Qiyao Peng, Fred J Vermolen, Daphne Weihs
Cancer cell migration between different body parts is the driving force behind cancer metastasis, which is the main cause of mortality of patients. Migration of cancer cells often…
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…
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…
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…
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…
Phase-space analysis of large ODE systems using a low-dimensional conservation law
Neil V. Budko, Fred J. Vermolen
Simultaneous deterministic and weakly stochastic dynamics of multiple populations described by a large system of ODE's is considered in the phase space of population sizes and ODE'…