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Aufsatz
Assessing segmental versus non-segmental features in the ventral nervous system of onychophorans (velvet worms)
(2017-01-03)
Background:
Due to their phylogenetic position as one of the closest arthropod relatives, studies of the organisation of the nervous system in onychophorans play a key role for understanding the evolution of body segmentation in arthropods. Previous studies revealed that, in contrast to the arthropods, segmentally repeated ganglia are not present within the onychophoran ventral nerve cords, suggesting that segmentation is either reduced or might be incomplete in the onychophoran ventral nervous system.
Results: ...
Buch
Didactics of Mathematics in Higher Education as a Scientific Discipline
(2017-03-15)
Mathematics education at the tertiary level is a practical concern in many institutions of higher education, and efforts are being made world-wide to improve its quality. A growing number of mathematicians and mathematics educators see the need for doing research and thoughtful development work in mathematics education not only at school level, but also at tertiary level. To give momentum to the establishment of a scientific community of mathematicians and mathematics educators whose concern is the theoretical ...
Aufsatz
Aphyllophoroid fungi in insular woodlands of eastern Ukraine
(2017-12-22)
Background
Fungi play crucial roles in ecosystems and are among the species-richest organism groups on Earth. However, knowledge on their occurrence lags behind the data for animals and plants. Recent analyses of fungal occurrence data from Western, Central and Northern Europe provided important insights into response of fungi to global warming. The consequences of the global changes for biodiversity on a larger geographical scale are not yet understood. Landscapes of Eastern Europe and particularly of eastern ...
Preprint
Convergence analysis of time-discretization schemes for rate-independent systems
(2017-12-21)
It is well known that rate-independent systems involving nonconvex energy functionals in general do not allow for time-continuous solutions even if the given data are smooth. In the last years, several solution concepts were proposed that include discontinuities in the notion of solution, among them the class of global energetic solutions and the class of BV-solutions. In general, these solution concepts are not equivalent and numerical schemes are needed that reliably approximate that type of solutions one is ...
Preprint
Balanced Viscosity solutions to a rate-independent system for damage
(2017-05-02)
This article is the third one in a series of papers by the authors on vanishing-viscosity solutions to rate-independent damage systems. While in the first two papers [KRZ13, KRZ15] the assumptions on the spatial domain $\Omega$ were kept as general as possible (i.e. nonsmooth domain with mixed boundary conditions), we assume here that $\partial\Omega$ is smooth and that the type of boundary conditions does not change. This smoother setting allows us to derive enhanced regularity spatial properties both for the ...
Dissertation
Development of UNCD-based multielectrode arrays for neuronal measurements
(2017-07-26)
The work in hand will show how some of diamond’s extraordinary features can be utilized in bio-applications especially for in vitro cultures of neuronal cells. Diamond has proven itself as an excellent material for bio-applications such as simple fluorescent microarrays over bioFET (field effect transistor) to bioMEMS (microelectro-mechanical systems). The reason does not only lie in its best known properties namely extreme hardness and high refractive index, but in its unique chemistry. As one of the modifications ...