We consider operator-valued differential Lyapunov and Riccati equations, where the operators B and C may be relatively unbounded with respect to A (in the standard notation). In this setting, we prove that the singular values of the solutions decay fast under certain conditions. In fact, the decay is exponential in the negative square root if A generates an analytic semigroup and the range of C ha

The treatment of the stochastic linear quadratic optimal control problem with finite time horizon requires the solution of stochastic differential Riccati equations. We propose efficient numerical methods, which exploit the particular structure and can be applied for large-scale systems. They are based on numerical methods for ordinary differential equations such as Rosenbrock methods, backward di

Very strong difference in many properties is well documented for graphite oxides (GtO) synthesized by Brodie (BGO) and Hummers (HGO) methods. The difference is typically assigned to the type of oxidant (chlorates or KMnO4, respectively). However, not only oxidants but also acids used in these methods are different. It is still unclear which of the different properties of GtO are dependent on the o

Cultural institutions such as museums and art galleries are important agents in educating the broader public on matters where current awareness is missing, inadequate or inaccurate. In this study, I focus on one such matter, which is the knowledge regarding ethnic minorities, their history, traditions, and current challenges. My primary focus is on how cultural institutions utilise their exhibitio

HER2/ERBB2 evaluation is necessary for treatment decision-making in breast cancer (BC), however current methods have limitations and considerable variability exists. DNA copy number (CN) evaluation by droplet digital PCR (ddPCR) has complementary advantages for HER2/ERBB2 diagnostics. In this study, we developed a single-reaction multiplex ddPCR assay for determination of ERBB2 CN in reference to

The chronic hyperglycaemia of diabetes is associated with long-term damage, dysfunction, and failure of different organs, especially the eyes, kidneys, nerves, heart, and blood vessels. The increasing prevalence of type 2 diabetes can largely be ascribed to the worldwide increase in obesity during the last 30 years; for instance, more than 60% of individuals older than 15 years in the UK and USA a

Hollow microgels are fascinating model systems at the crossover between polymer vesicles, emulsions, and colloids as they deform, interpenetrate, and eventually shrink at higher volume fraction or when subjected to an external stress. Here, we introduce a system consisting of microgels with a micrometer-sized cavity enabling a straightforward characterization in situ using fluorescence microscopy

BACKGROUND: Pesticides cause a wide range of deleterious health effects, including metabolic disorders. Little is known about the effects of dietary pesticide exposure on body weight (BW) change in the general population. We aimed to investigate the role of dietary pesticide exposure in BW change among NutriNet-Santé participants, focusing on potential sexual dimorphism.METHODS: Participants compl

With growing interest in sustainable civil supersonic and hypersonic aviation, there is a need to model the combustion of alternative, sustainable jet fuels. This work presents numerical simulations of several related phenomena, including laminar flames, ignition, and spray flames. Two conventional jet fuels, Jet A and JP-5, and two alternative jet fuels, C1 and C5, are targeted. The laminar burni

The tribe Ithomiini (Nymphalidae: Danainae) includes nearly 400 species of butterflies distributed from Mex-ico to Northern Argentina, and adults of all species are aposematic and the main models in several Neotropical mimicry rings. The subtribe Melinaeina, a small group composed of five genera of large ithomiines, is the sister group of all remaining groups in the tribe Ithomiini. With 14 recogn

Phenomenography is a research tradition originating from research on students’ studying and learning. The research methods of phenomenography have been discussed and criticized by many authors. There is a need for a presentation of the historical methodological foundation of phenomenography. The phenomenographic research methods are best understood as placed within the general research methodology

We study the problem of characterizing the cyclic vec-tors in de Branges-Rovnyak spaces. Based on a description of theinvariant subspaces we show that the difficulty lies entirely in un-derstanding the subspace (aH2)⊥ and give a complete function the-oretic description of the cyclic vectors in the case dim(aH2)⊥ < ∞.Incidentally, this implies analogous results for certain generalizedDirichlet spac

Insects are vital for the environment and biodiversity. Optics-based remote techniques can quickly and effectively identify and track insects in their natural habitat. This has the potential to speed up and improve the time-consuming process of manually monitoring insect diversity. This thesis presents a method to remotely sense insects by analyzing the sunlight reflected by free-flying insects. T

The assembly of colloidal cubic diamond is a challenging process since the shape and interaction parameters and the thermodynamic conditions where this structure is stable are elusive. The simultaneous use of shape-anisotropic particles and strong directional interactions has proven to be a successful path to exclusively nucleate this structure. Here, using molecular dynamics simulations, we explo

Thermoresponsive microgels are polymeric colloidal networks that can change their size in response to a temperature variation. This peculiar feature is driven by the nature of the solvent-polymer interactions, which triggers the so-called volume phase transition from a swollen to a collapsed state above a characteristic temperature. Recently, an advanced modelling protocol to assemble realistic, d

Kanalen som omgärdar Malmös medeltida stadskärna har haft stor betydelse för stadens utveckling. Barocka stadsideal, industrialiseringen, efterskrigstidens rivningar och påföljande massbilism har alla satt djupa spår i stadsväven och anpassat kanalen efter sina behov. Projektet tar sin början vid den del av kanalen som är belägen till öster om stadskärnan: ett mycket stort och öppet rum fyllt med

We propose a pebble-driven core accretion scenario to explain the formation of giant planets around the late-M dwarfs of M∗=0.1-0.2 M⊙. In order to explore the optimal disk conditions for giant planet, we performed N-body simulations to investigate the growth and dynamical evolution of both single and multiple protoplanets in the disks with both inner viscously heated and outer stellar irradiated