Search Results - "Vermolen, F.J"

A multi-agent cell-based model for wound contraction by Boon, W.M, Koppenol, D.C, Vermolen, F.J

“…Abstract A mathematical model for wound contraction is presented. The model is based on a cell-based formalism where fibroblasts, myofibroblasts and the immune…”
Get full text

On the fundamental solutions-based inversion of Laplace matrices by Vermolen, F.J., den Bakker, D.R., Vuik, C.

“…The discretisation of the Laplacian results into the well-known Laplace matrix. In the case of a one dimensional problem, an explicit formula for its inverse…”
Get full text

A semi-stochastic cell-based model for in vitro infected ‘wound’ healing through motility reduction: A simulation study by Vermolen, F.J., Gefen, A.

“…We consider the migration and viability of individual cells in bacterial-infected cell colonies. Cell movement is assumed to take place as a result of sensing…”
Get full text

Computer simulations from a finite-element model for wound contraction and closure by Vermolen, F.J, Javierre, E

“…Abstract Some implications from a simplified finite-element model are given in this study. The model takes into account the sequential steps of wound…”
Get full text

Numerical methods to compute stresses and displacements from cellular forces: Application to the contraction of tissue by Peng, Q., Vermolen, F.J.

“…We consider a mathematical model for skin contraction, which is based on solving a momentum balance under the assumptions of isotropy, homogeneity, Hooke’s…”
Get full text

Point forces in elasticity equation and their alternatives in multi dimensions by Peng, Q., Vermolen, F.J.

“…Deep dermal wounds induce skin contraction as a result of the traction forcing exerted by (myo)fibroblasts on their immediate environment. These…”
Get full text

A mathematical model for the dissolution of particles in multi-component alloys by Vermolen, F.J., Vuik, C.

“…Dissolution of stoichiometric multi-component particles is an important process occurring during the heat treatment of as-cast aluminum alloys prior to hot…”
Get full text

A mathematical model for the dissolution of stoichiometric particles in multi-component alloys by Vermolen, F.J., Vuik, C., van der Zwaag, S.

“…A general model for the dissolution of stoichiometric particles in multi-component alloys is proposed and analysed. We introduce the concept of mass-conserving…”
Get full text

A numerical model for the dissolution of spherical particles in binary alloys under mixed mode control by Vermolen, F.J., van der Zwaag, S.

“…A general numerical model is described for the dissolution kinetics of spherical particles in binary systems for any combination of first order reactions at…”
Get full text

A comparison of numerical models for one-dimensional Stefan problems by Javierre, E., Vuik, C., Vermolen, F.J., van der Zwaag, S.

“…In this paper, we present a critical comparison of the suitability of several numerical methods, level set, moving grid and phase field model, to address two…”
Get full text

Modelling the immune system response to epithelial wound infections by Vermolen, F.J., Arkesteijn, E.C.M.M., Gefen, A.

“…In this paper, a cell-colony based formalism for the healing of superficial wounds is presented. The paper incorporates the migration, proliferation, and death…”
Get full text

The dependence of the β-AlFeSi to α-Al(FeMn)Si transformation kinetics in Al–Mg–Si alloys on the alloying elements by Kuijpers, N.C.W., Vermolen, F.J., Vuik, C., Koenis, P.T.G., Nilsen, K.E., Zwaag, S. van der

“…An homogenisation process is applied to as cast billets Al–Mg–Si alloys in order to improve the extrudability. During this homogenisation, plate-like β-AlFeSi…”
Get full text

Modelling precipitate nucleation and growth with multiple precipitate species under isothermal conditions: Formulation and analysis by den Ouden, D., Zhao, L., Vuik, C., Sietsma, J., Vermolen, F.J.

“…•This study extends the KWN-model for the nucleation and growth of precipitates.•A theoretical framework for the frequency of atomic attachment is…”
Get full text

Tailoring the release of encapsulated corrosion inhibitors from damaged coatings: Controlled release kinetics by overlapping diffusion fronts by Javierre, E., García, S.J., Mol, J.M.C., Vermolen, F.J., Vuik, C., van der Zwaag, S.

“…► A model to analyze the wide range of different leaching kinetics observed experimentally is given. ► The model allows identifying the release kinetics for…”
Get full text

Modelling of particle nucleation and growth in binary alloys under elastic deformation: An application to a Cu–0.95 wt%Co alloy by den Ouden, D., Vermolen, F.J., Zhao, L., Vuik, C., Sietsma, J.

“…► The KWN-model is extended with the effect of thermo-mechanical treatment. ► The KWN-model is applied to copper–cobalt system. ► Thermo-mechanical treatment…”
Get full text

On the construction of analytic solutions for a diffusion–reaction equation with a discontinuous switch mechanism by Vermolen, F.J., Javierre, E.

“…The existence of waiting times, before boundary motion sets in, for a diffusion–diffusion reaction equation with a discontinuous switch mechanism, is…”
Get full text

A level set method for three dimensional vector Stefan problems: Dissolution of stoichiometric particles in multi-component alloys by Javierre, E., Vuik, C., Vermolen, F.J., Segal, A.

“…A sharp interface method is proposed for the dissolution of stoichiometric particles in multi-component alloys occurring during the heat treatments of as-cast…”
Get full text

Modelling of particle nucleation and growth in binary alloys under elastic deformation: An application to a Cu–0.95wt%Co alloy by den Ouden, D., Vermolen, F.J., Zhao, L., Vuik, C., Sietsma, J.

“…This study incorporates the effect of elastic deformation in a previously proposed model for the nucleation and growth of precipitates. We adapt the KWN-model…”
Get full text

A three-dimensional model for particle dissolution in binary alloys by Vermolen, F.J., Javierre, E., Vuik, C., Zhao, L., van der Zwaag, S.

“…A three-dimensional model for particle dissolution in binary alloys is proposed and its numerical solution procedure is described. The model describes…”
Get full text

A simplified model for growth factor induced healing of wounds by Vermolen, F.J., van Baaren, E., Adam, J.A.

“…A mathematical model is developed for the rate of healing of a circular or elliptic wound. In this paper the regeneration, decay and transport of a generic…”
Get full text