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Peng, Q. (author), Vermolen, F.J. (author)</p><p class="MsoNormal">We consider several mathematical issues regarding models that simulate forces exerted by cells. Since the size of cells is much smaller than the size of the domain of computation, one often considers point forces, modelled by Dirac Delta distributions on boundary segments of cells. In the current paper, we treat...report 2020
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Peng, Q. (author), Vermolen, F.J. (author)<br/></p><br/><sub><br/></sub>report 2019
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Peng, Q. (author), Vermolen, F.J. (author)<br/></p><br/><sub><br/></sub>report 2019
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- Lopez Pena, L.A. (author), Meulenbroek, B.J. (author), Vermolen, F.J. (author) report 2016
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- Vermolen, F.J. (author), Vuik, C. (author) report 2011
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- Vermolen, F.J. (author), Vuik, C. (author) report 2010
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Prokharau, P.A. (author), Vermolen, F.J. (author)We investigate stability of the solution of the equations proposed in [Moreo, 2008], which model peri-implant osseointegration process. For certain parameter values, the solution has a ’wave-like’ profile, which appears in the distribution of osteogenic cells, osteoblasts, growth factor and bone matrix. That is in contradiction with experimental...report 2010
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- Vermolen, F.J. (author), Vuik, C. (author), Hegen, D. (author) report 2009
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- Van Wijngaarden, W.K. (author), Vermolen, F.J. (author), Van Meurs, G.A.M. (author), Vuik, C. (author) report 2009
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- Prokharau, P. (author), Vermolen, F.J. (author) report 2009
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De Geest, G. (author), Vermolen, S.D. (author), Van Deursen, A. (author), Visser, E. (author)Preprint of paper published in: WCRE 2008 - 15th Working Conference on Reverse Engineering, 15-18 October 2008; doi:10.1109/WCRE.2008.50 Domain-specific languages (DSLs) improve programmer productivity by providing high-level abstractions for the development of applications in a particular domain. However, the smaller distance to the application...report 2008
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- Vermolen, F.J. (author), Javierre, E. (author) report 2008
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- Vuik, C. (author), Vermolen, F.J. (author), Hegen, D. (author) report 2008
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- Javierre, E. (author), Vermolen, F.J. (author), Vuik, C. (author), Van der Zwaag, S. (author) report 2007
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Vermolen, F.J. (author)In this paper the Zener theory on precipitate growth in supersaturated alloys for planar, cylindrical and spherical geometries is extended to multi-component alloys. The obtained solutions can be used to check the results from numerical simulations under simplified conditions. Further, the multi-component solutions are used to derive the quasi...report 2006
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Javierre, E. (author), Vuik, C. (author), Vermolen, F.J. (author), Segal, A. (author)A mathematical model is proposed for the dissolution of stoichiometric particles in binary alloys occurring during the heat treatments of as-cast aluminium alloys prior to hot extrusion. The Level Set method is used to capture the interface location implicitly. The front velocity, only dened on the moving interface, should be advected to the...report 2005
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Javierre, E. (author), Vuik, C. (author), Vermolen, F.J. (author), van der Zwaag, S. (author)In this paper we present a critical comparison of the suitability of several numerical methods, level set, moving grid and phase eld model, to address two well known Stefan problems in phase transformation studies: melting of a pure phase and diusional solid state phase transformations in a binary system. Similarity solutions are applied to...report 2005
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Vermolen, F.J. (author), E. van Baaren, E. (author), Adam, J.A. (author)A mathematical model is developed for the rate of healing of a circular wound in a spherical skull. In this paper the regeneration, decay and transport of a generic "growth factor, which induces the healing of the wound, is taken into account. Further, an equation of motion is derived for the actual healing of the wound. The expressions for the...report 2005
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Zitha, P.L.J. (author), Vermolen, F.J. (author)The travelling wave solutions of the equation for foam drainage in porous media are developed taking into account the mass conservation criterion. The existence of traveling wave solutions is also discussed. Finally, numerical solutions are obtained using a finite difference scheme together with the Van Leer flux limiter, to reduce numerical...report 2003
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Vermolen, F.J. (author), Vuik, C. (author)A general model for the dissolution of particles in multi-component alloys is proposed and analyzed. The model is based on diffusion equations with cross-terms for the several species, combined with a Stefan condition as the equation of motion of the interface between the particle and diffusant phase. To facilitate the analysis we use a...report 2003
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