Moebius rigidity of invariant metrics in boundaries of symmetric spaces of rank 1

Let $\partial{\bf H}^n_{\mathbb K}$ denote the boundary of a symmetric space of rank-one and of non-compact type and let $d_{\mathfrak{H}}$ be the Kor\'anyi metric defined in $\partial{\bf H}^n_{\mathbb K}$. We prove that if $d$ is a metric on $\partial{\bf H}^n_{\mathbb K}$ such that all Heisenberg similarities are $d$-M\"obius maps, then under a topological condition $d$ is a constant multiple of a power of $d_{\mathfrak{H}}$.Comment: Third version, 13 pages. Contains simpler and shortened proof

Biocatalysis, Enzyme Engineering and Biotechnology

Enzymes are biocatalysts evolved in nature to achieve the speed and coordination of nearly all the chemical reactions that define cellular metabolism necessary to develop and maintain life. The application of biocatalysis is growing rapidly, since enzymes offer potential for many exciting applications in industry. The advent of whole genome sequencing projects enabled new approaches for biocatalyst development, based on specialised methods for enzyme heterologous expression and engineering. The engineering of enzymes with altered activity, specificity and stability, using sitedirected mutagenesis and directed evolution techniques are now well established. Over the last decade, enzyme immobilisation has become important in industry. New methods and techniques for enzyme immobilisation allow for the reuse of the catalysts and the development of efficient biotechnological processes. This chapter reviews advances in enzyme technology as well as in the techniques and strategies used for enzyme production, engineering and immobilisation and discuss their advantages and disadvantages

Neonatal Screening in Europe Revisited: An ISNS Perspective on the Current State and Developments Since 2010

Neonatal screening (NBS) was initiated in Europe during the 1960s with the screening for phenylketonuria. The panel of screened disorders (“conditions”) then gradually expanded, with a boost in the late 1990s with the introduction of tandem mass spectrometry (MS/MS), making it possible to screen for 40–50 conditions using a single blood spot. The most recent additions to screening programmes (screening for cystic fibrosis, severe combined immunodeficiency and spinal muscular atrophy) were assisted by or realised through the introduction of molecular technologies. For this survey, we collected data from 51 European countries. We report the developments between 2010 and 2020 and highlight the achievements reached with the progress made in this period. We also identify areas where further progress can be made, mainly by exchanging knowledge and learning from experiences in neighbouring countries. Between 2010 and 2020, most NBS programmes in geographical Europe matured considerably, both in terms of methodology (modernised) and with regard to the panel of conditions screened (expanded). These developments indicate that more collaboration in Europe through European organisations is gaining momentum. We can only accomplish the timely detection of newborn infants potentially suffering from one of the many rare diseases and take appropriate action by working together

Möbius rigidity of invariant metrics in boundaries of symmetric spaces of rank-1

Let $\mathbf{H}^{\mathit{n}}_{K}$ denote the symmetric space of rank-1 and of non-compact type and let $\mathit{d}_\mathfrak{H}$ be the Korányi metric defined on its boundary. We prove that if $\mathit{d}$ is a metric on $\partial\mathbf{H}^{\mathit{n}}_{K}$ such that all Heisenberg similarities are $\mathit{d}$-Möbius maps, then under a topological condition d is a constant multiple of a power of $\mathit{d}_\mathfrak{H}$

The Cutting Edge on Advances in ICT Systems in Agriculture †

[No abstract available