An Impulse Control Approach to Dike Height Optimization (Revised version of CentER DP 2011-097)

Abstract: This paper determines the optimal timing of dike heightenings as well as the corresponding optimal dike heightenings to protect against floods. To derive the optimal policy we design an algorithm based on the Impulse Control Maximum Principle. In this way the paper presents one of the first real life applications of the Impulse Control Maximum Principle developed by Blaquiere. We show that the proposed Impulse Control approach performs better than Dynamic Programming with respect to computational time. This is caused by the fact that Impulse Control does not need discretization in time.

Fundamental progress in investigating drug resistance with electronic multidrug compliance monitoring (e-MCM)

Current definitions of drug resistance are shaped by the pharmacotherapeutic fields they occurred in. They usually mention various contributing factors and refer either to the clinical or the biomarker level. Particular attention has been attracted by antiplatelet resistance, a phenomenon with clinical, cellular and pharmacogenetical contributors. However, the impact of every single factor to antiplatelet resistance in outpatients under prescribed antiplatelet therapy has not been comprehensively evaluated so far, neither has the temporal pattern of drug intake been studied as a possible contributor

Topological phase transitions and quantum Hall effect in the graphene family

Monolayer staggered materials of the graphene family present intrinsic spin-orbit coupling and can be driven through several topological phase transitions using external circularly polarized lasers and static electric or magnetic fields. We show how topological features arising from photoinduced phase transitions and the magnetic-field-induced quantum Hall effect coexist in these materials and simultaneously impact their Hall conductivity through their corresponding charge Chern numbers. We also show that the spectral response of the longitudinal conductivity contains signatures of the various phase-transition boundaries, that the transverse conductivity encodes information about the topology of the band structure, and that both present resonant peaks which can be unequivocally associated with one of the four inequivalent Dirac cones present in these materials. This complex optoelectronic response can be probed with straightforward Faraday rotation experiments, allowing the study of the crossroads between quantum Hall physics, spintronics, and valleytronics