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Dive into the research topics where R.W. van der Hofstad is active.

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Featured researches published by R.W. van der Hofstad.


Science | 2014

Probing Exchange Pathways in One-Dimensional Aggregates with Super-Resolution Microscopy

Lorenzo Albertazzi; D. van der Zwaag; Christianus M. A. Leenders; Rj Robert Fitzner; R.W. van der Hofstad; E. W. Meijer

Examining Supramolecular Exchange Microtubules are a natural example of a one-dimensional (1D) supramolecular structure. Synthetic examples of 1D fibrils often have monomers linked by weak noncovalent interactions that allow monomers to exchange in and out of the fibrils. Albertazzi et al. (p. 491) used a combination of super-resolution microscopy on individual fibrils and stochastic simulation to study monomer exchange in fibrils formed from stacked 1,3,5-benzenetricarboxamide motifs. Exchange did not require large-scale depolymerization and repolymerization, or reassembly of fragments, but proceeded through individual monomers exchanging homogeneously throughout the fibrils. One-dimensional supramolecular aggregates can swap constituent monomers through a homogeneous exchange mechanism. Supramolecular fibers are prominent structures in biology and chemistry. A quantitative understanding of molecular exchange pathways in these one-dimensional aggregates was obtained by a combination of super-resolution stochastic optical reconstruction microscopy and stochastic simulation. The potential of this methodology is demonstrated with a set of well-defined synthetic building blocks that self-assemble into supramolecular fibrils. Previous ensemble measurements hid all molecular phenomena underpinning monomer exchange, but the molecular pathway determined from single-aggregate studies revealed unexpected homogeneous exchange along the polymer backbone. These results pave the way for experimental investigation of the structure and exchange pathways of synthetic and natural supramolecular fibers.


arXiv: Probability | 2009

Critical behavior in inhomogeneous random graphs

R.W. van der Hofstad


arXiv: Probability | 2017

Optimal subgraph structures in scale-free configuration models

R.W. van der Hofstad; J.S.H. van Leeuwaarden; Clara Stegehuis


Report Eurandom | 2004

Distances in random graphs with infinite mean degrees

Dmitri Znamenski; R.W. van der Hofstad; Gerard Hooghiemstra


arXiv: Probability | 2015

Long paths in first passage percolation on the complete graph I. Local PWIT dynamics

Maren Eckhoff; Jesse Goodman; R.W. van der Hofstad; Fr Francesca Nardi


arXiv: Probability | 2015

Long paths in first passage percolation on the complete graph II. Global branching dynamics

Maren Eckhoff; Jesse Goodman; R.W. van der Hofstad; Fr Francesca Nardi


Report Eurandom | 2014

Cluster tails for critical power-law inhomogeneous random graphs

R.W. van der Hofstad; Sm Sandra Kliem; J.S.H. van Leeuwaarden


Report Eurandom | 2009

Scaling limits for critical inhomogeneous random graphs with finite third moments

Shankar Bhamidi; R.W. van der Hofstad; J.S.H. van Leeuwaarden


Report Eurandom | 2009

Novel scaling limits for critical inhomogeneous random graphs

Shankar Bhamidi; R.W. van der Hofstad; J.S.H. van Leeuwaarden


Report Eurandom | 2009

First passage percolation on random graphs with finite mean degrees

Shankar Bhamidi; R.W. van der Hofstad; Gerard Hooghiemstra

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J.S.H. van Leeuwaarden

Eindhoven University of Technology

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Shankar Bhamidi

University of North Carolina at Chapel Hill

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Fr Francesca Nardi

Eindhoven University of Technology

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Gerard Hooghiemstra

Delft University of Technology

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Gordon Slade

University of British Columbia

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Clara Stegehuis

Eindhoven University of Technology

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Sm Sandra Kliem

University of Duisburg-Essen

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