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Updated: Mar 30, 2026

Expansion of Two-dimension Electrospun Nanofiber Mats into Three-dimension Scaffolds
Published on: January 7, 2019
Filling of three-dimensional space by two-dimensional sheet growth
Merlin A Etzold1, Peter J McDonald2, David A Faux2
1BP-Institute, University of Cambridge, Madingley Road, Cambridge CB3 0EZ, United Kingdom.
Abstract:
Models of three-dimensional space filling based on growth of two-dimensional sheets are proposed. Beginning from planar Eden-style growth of sheets, additional growth modes are introduced. These enable the sheets to form layered or disordered structures. The growth modes can also be combined. An off-lattice kinetic Monte Carlo-based computer algorithm is presented and used to study the kinetics of the new models and the resulting structures. It is possible to study space filling by two-dimensional growth in a three-dimensional domain with arbitrarily oriented sheets; the results agree with previously published models where the sheets are only able to grow in a limited set of directions. The introduction of a bifurcation mechanism gives rise to complex disordered structures that are of interest as model structures for the mesostructure of calcium silicate hydrate in hardened cement paste.
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