Search Results - "Vermolen, F.J."
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A multi-agent cell-based model for wound contraction
Published in Journal of biomechanics (24-05-2016)“…Abstract A mathematical model for wound contraction is presented. The model is based on a cell-based formalism where fibroblasts, myofibroblasts and the immune…”
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2
On the fundamental solutions-based inversion of Laplace matrices
Published in Results in applied mathematics (01-08-2022)“…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…”
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3
A semi-stochastic cell-based model for in vitro infected ‘wound’ healing through motility reduction: A simulation study
Published in Journal of theoretical biology (07-02-2013)“…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…”
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4
Computer simulations from a finite-element model for wound contraction and closure
Published in Journal of tissue viability (01-05-2010)“…Abstract Some implications from a simplified finite-element model are given in this study. The model takes into account the sequential steps of wound…”
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5
Numerical methods to compute stresses and displacements from cellular forces: Application to the contraction of tissue
Published in Journal of computational and applied mathematics (01-04-2022)“…We consider a mathematical model for skin contraction, which is based on solving a momentum balance under the assumptions of isotropy, homogeneity, Hooke’s…”
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6
Point forces in elasticity equation and their alternatives in multi dimensions
Published in Mathematics and computers in simulation (01-09-2022)“…Deep dermal wounds induce skin contraction as a result of the traction forcing exerted by (myo)fibroblasts on their immediate environment. These…”
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A mathematical model for the dissolution of particles in multi-component alloys
Published in Journal of computational and applied mathematics (30-12-2000)“…Dissolution of stoichiometric multi-component particles is an important process occurring during the heat treatment of as-cast aluminum alloys prior to hot…”
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A mathematical model for the dissolution of stoichiometric particles in multi-component alloys
Published in Materials science & engineering. A, Structural materials : properties, microstructure and processing (01-05-2002)“…A general model for the dissolution of stoichiometric particles in multi-component alloys is proposed and analysed. We introduce the concept of mass-conserving…”
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A numerical model for the dissolution of spherical particles in binary alloys under mixed mode control
Published in Materials science & engineering. A, Structural materials : properties, microstructure and processing (15-12-1996)“…A general numerical model is described for the dissolution kinetics of spherical particles in binary systems for any combination of first order reactions at…”
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10
A comparison of numerical models for one-dimensional Stefan problems
Published in Journal of computational and applied mathematics (01-08-2006)“…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…”
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Modelling the immune system response to epithelial wound infections
Published in Journal of theoretical biology (21-03-2016)“…In this paper, a cell-colony based formalism for the healing of superficial wounds is presented. The paper incorporates the migration, proliferation, and death…”
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The dependence of the β-AlFeSi to α-Al(FeMn)Si transformation kinetics in Al–Mg–Si alloys on the alloying elements
Published in Materials science & engineering. A, Structural materials : properties, microstructure and processing (15-03-2005)“…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…”
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13
Modelling precipitate nucleation and growth with multiple precipitate species under isothermal conditions: Formulation and analysis
Published in Computational materials science (01-11-2013)“…•This study extends the KWN-model for the nucleation and growth of precipitates.•A theoretical framework for the frequency of atomic attachment is…”
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14
Tailoring the release of encapsulated corrosion inhibitors from damaged coatings: Controlled release kinetics by overlapping diffusion fronts
Published in Progress in organic coatings (01-09-2012)“…► A model to analyze the wide range of different leaching kinetics observed experimentally is given. ► The model allows identifying the release kinetics for…”
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15
Modelling of particle nucleation and growth in binary alloys under elastic deformation: An application to a Cu–0.95 wt%Co alloy
Published in Computational materials science (01-06-2011)“…► The KWN-model is extended with the effect of thermo-mechanical treatment. ► The KWN-model is applied to copper–cobalt system. ► Thermo-mechanical treatment…”
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16
On the construction of analytic solutions for a diffusion–reaction equation with a discontinuous switch mechanism
Published in Journal of computational and applied mathematics (15-09-2009)“…The existence of waiting times, before boundary motion sets in, for a diffusion–diffusion reaction equation with a discontinuous switch mechanism, is…”
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17
A level set method for three dimensional vector Stefan problems: Dissolution of stoichiometric particles in multi-component alloys
Published in Journal of computational physics (20-05-2007)“…A sharp interface method is proposed for the dissolution of stoichiometric particles in multi-component alloys occurring during the heat treatments of as-cast…”
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18
Modelling of particle nucleation and growth in binary alloys under elastic deformation: An application to a Cu–0.95wt%Co alloy
Published in Computational materials science (01-06-2011)“…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…”
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19
A three-dimensional model for particle dissolution in binary alloys
Published in Computational materials science (01-06-2007)“…A three-dimensional model for particle dissolution in binary alloys is proposed and its numerical solution procedure is described. The model describes…”
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20
A simplified model for growth factor induced healing of wounds
Published in Mathematical and computer modelling (01-11-2006)“…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…”
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