C0C_0-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain

Hyperbolic partial differential equations on a one-dimensional spatial domain are studied. This class of systems includes models of beams and waves as well as the transport equation and networks of non-homogeneous transmission lines. The main result of this paper is a simple test for $C_0$-semigroup generation in terms of the boundary conditions. The result is illustrated with several examples

Zero Dynamics for Port-Hamiltonian Systems

The zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the zero dynamics of port-Hamiltonian systems are studied. A complete characterization of the zero dynamics for a port-Hamiltonian systems with invertible feedthrough as another port-Hamiltonian system on the same state space is given. It is shown that the zero dynamics for any port-Hamiltonian system with commensurate wave speeds are well-defined, and are also a port-Hamiltonian system. Examples include wave equations with uniform wave speed on a network. A constructive procedure for calculation of the zero dynamics, that can be used for very large system order, is provided.Comment: 17 page

Base pair interactions and hybridization isotherms of matched and mismatched oligonucleotide probes on microarrays

The lack of specificity in microarray experiments due to non-specific hybridization raises a serious problem for the analysis of microarray data because the residual chemical background intensity is not related to the expression degree of the gene of interest. We analyzed the concentration dependence of the signal intensity of perfect match (PM) and mismatch (MM) probes in terms using a microscopic binding model using a combination of mean hybridization isotherms and single base related affinity terms. The signal intensities of the PM and MM probes and their difference are assessed with regard to their sensitivity, specificity and resolution for gene expression measures. The presented theory implies the refinement of existing algorithms of probe level analysis to correct microarray data for non-specific background intensities.Comment: 32 pages, 12 figures, 3 table

Simplify Reporting through Spatial Data Infrastructures -the Example of the German Marine Data Infrastructure

Source: ICHE Conference Archive - https://mdi-de.baw.de/icheArchiv

Teacher job satisfaction across 38 countries and economies: An alignment optimization approach to a cross-cultural mean comparison

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