J. B. van den Berg

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We present a rigorous numerical method for proving the existence of a localised radially symmetric solution for a Ginzburg-Landau type equation. This has a direct application to the problem of finding spots in the Swift-Hohenberg equation. The method is more generally applicable to finding radially symmetric solutions of stationary PDEs on the entire space.(More)
BACKGROUND Nonpathogenic Escherichia coli strain Nissle 1917 (EcN) has immunomodulatory properties and can act on different cells which are important for the allergic immune response. Herein, we investigated the efficacy and tolerability of EcN in subjects with grass pollen-dependent allergic rhinoconjunctivitis. METHODS Grass pollen-allergic subjects(More)
We study forcing of periodic points in orientation reversing twist maps. First, we observe that the fourth iterate of an orientation reversing twist map can be expressed as the composition of four orientation preserving positive twist maps. We then reformulate the problem in terms of parabolic flows, which form the natural dynamics on a certain space of(More)
Objective. To validate the empiric observation that pH has an important effect on oxygenation in infants receiving iNO. Study Design. Demographics, ventilator settings, arterial blood gases (ABG), and interventions for up to 96 hours of life were extracted from the charts of 51 infants receiving iNO. Need for ECMO and survival to discharge were noted. Mean(More)
In [VAV11], Várilly-Alvarado and the last author constructed an Enriques surface X over Q with an étale-Brauer obstruction to the Hasse principle and no algebraic Brauer-Manin obstruction. In this paper, we show that the nontrivial Brauer class of XQ does not descend to Q. Together with the results of [VAV11], this proves that the BrauerManin obstruction is(More)
Area-preserving diffeomorphisms of a 2-disc can be regarded as time-1 maps of (non-autonomous) Hamiltonian systems on S1×D2. In this 3-dimensional setting we can think of flow-lines of the Hamilton equations as closed braids in the solid torus S1×D2. In the spirit of positive braid classes and flat-knot types as used in [17] and [2] we define braid classes(More)
The arterial system is more than an intricate plumbing system for the transport of blood; it is a highly complex organ that interacts with its environment. The major function of the vessel wall, and more specifically the endothelial lining, is to maintain an adequate blood supply to the end organ that it is supplying. This is achieved by regulatory(More)
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