Results 91 to 100 of about 1,385,922 (245)
Assouad Dimension, Nagata Dimension, and Uniformly Close Metric Tangents
We study the Assouad dimension and the Nagata dimension of metric spaces. As a general result, we prove that the Nagata dimension of a metric space is always bounded from above by the Assouad dimension.
Rajala, Tapio, Le Donne, Enrico
core +1 more source
Studies of Connected Networks via Fractional Metric Dimension
Metric dimension is an effective tool to study different distance-based problems in the field of telecommunication, robotics, computer networking, integer programming, chemistry, and electrical networking.
Hassan Zafar +2 more
core +1 more source
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
The metric dimension of circulant graphs [PDF]
A pair of vertices \(x\) and \(y\) in a graph \(G\) are said to be resolved by a vertex \(w\) if the distance from \(x\) to \(w\) is not equal to the distance from \(y\) to \(w\).
Tapendra BC, Shonda Dueck
doaj +1 more source
On the metric dimension of incidence graphs [PDF]
A resolving set for a graph $Γ$ is a collection of vertices $S$, chosen so that for each vertex $v$, the list of distances from $v$ to the members of $S$ uniquely specifies $v$. The metric dimension $μ(Γ)$ is the smallest size of a resolving set for $Γ$. We consider the metric dimension of two families of incidence graphs: incidence graphs of symmetric
openaire +4 more sources
Investigating transcription factor dynamics in health and disease using FRAP
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
wiley +1 more source
Vertex and edge resolvability of some drug structures
Distance-based parameters are crucial in studying drug structures as they help in uniquely identifying and characterizing the molecular structure through the analysis of graph representations, thereby aiding in the understanding of molecular properties ...
Ayesha Andalib Kiran +3 more
doaj +1 more source
Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang +4 more
wiley +1 more source
Edge Metric Dimension of Silicate Networks [PDF]
Metric dimension is an essential parameter in graph theory that aids in addressing issues pertaining to information retrieval, localization, network design, and chemistry through the identification of the least possible number of elements necessary to ...
Prabhu, S., Janany, T. Jenifer
core +1 more source

