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- Laurent Bozec, Gert van der Heijden, Michael Horton
- Biophysical journal
- 2007

The formation of collagen fibrils from staggered repeats of individual molecules has become "accepted" wisdom. However, for over thirty years now, such a model has failed to resolve several structural and functional questions. In a novel approach, it was found, using atomic force microscopy, that tendon collagen fibrils are composed of subcomponents in a… (More)

- Eugene L Starostin, Gert van der Heijden
- Nature materials
- 2007

The Möbius strip, obtained by taking a rectangular strip of plastic or paper, twisting one end through 180 degrees, and then joining the ends, is the canonical example of a one-sided surface. Finding its characteristic developable shape has been an open problem ever since its first formulation in refs 1,2. Here we use the invariant variational bicomplex… (More)

- Eugene L Starostin, Gert van der Heijden
- Physical review letters
- 2008

We study the nonmonotonic force-extension behavior of helical ribbons using a new model for inextensible elastic strips. Unlike previous rod models, our model predicts hysteresis behavior for low-pitch ribbons of arbitrary material properties. Associated with it is a first-order transition between two different helical states as observed in experiments with… (More)

- Eugene L Starostin, Gert van der Heijden
- Physical review letters
- 2011

We employ moving frames along pairs of curves at constant separation to derive various conditions for a curve to belong to the surface of a circular cylinder.

- Eugene L Starostin, Gert van der Heijden
- Physical review. E, Statistical, nonlinear, and…
- 2009

We consider geometric variational problems for a functional defined on a curve in a three-dimensional space. The functional is assumed to be written in a form invariant under the group of Euclidean motions. We present the Euler-Lagrange equations as equilibrium equations for the internal force and moment. Examples are discussed to illustrate our approach.… (More)

- Andrea Korte, Gert van der Heijden
- Journal of physics. Condensed matter : an…
- 2009

We study curvature effects and localization of non-interacting electrons confined to developable one-sided elastic sheets motivated by recent nanostructured origami techniques for creating and folding extremely thin membrane structures. The most famous one-sided sheet is the Möbius strip but the theory we develop allows for arbitrary linking number. Unlike… (More)

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