The Euler characteristic of an object is a topological invariant determined by the number of handles and holes that it contains. Here, we use the Euler characteristic to profile the topology of model three-dimensional gel-forming fluids as a function of increasing length scale. These profiles act as a 'topological fingerprint' of the structure, and can be interpreted in terms of three types of topological events. As model fluids we have considered a system of dipolar dumbbells, and suspensions of adhesive hard spheres with isotropic and patchy interactions in turn. The correlation between the percolation threshold and the length scale on which the Euler characteristic passes through zero is examined and found to be system-dependent. A scheme for the efficient calculation of the Euler characteristic with and without periodic boundary conditions is described.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1088/0953-8984/22/10/104109 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Impact of Convulsive Maternal Seizures on Fetus Dynamics.
Int J Numer Method Biomed Eng
January 2025
The Ferrara Center for Patient Safety and Clinical Simulation, New York Institute of Technology, College of Osteopathic Medicine, New York City, New York, USA.
The study findings demonstrate that the amniotic fluid plays an important role in protecting the fetus during convulsive maternal seizures. The amniotic fluid was found to be an effective buffer, significantly reducing the transfer of kinetic energy to the fetus during these events. This highlights the sufficient protection provided by the amniotic fluid in such circumstances.
View Article and Find Full Text PDFWhole-genome resequencing to investigate the genetic diversity and mechanisms of plateau adaptation in Tibetan sheep.
J Anim Sci Biotechnol
December 2024
Key Laboratory of Adaptation and Evolution of Plateau Biota, Qinghai Provincial Key Laboratory of Animal Ecological Genomics, Northwest Institute of Plateau Biology, Chinese Academy of Sciences, Xining, Qinghai, 810008, China.
Introduction: Tibetan sheep, economically important animals on the Qinghai-Tibet Plateau, have diversified into numerous local breeds with unique characteristics through prolonged environmental adaptation and selective breeding. However, most current research focuses on one or two breeds, and lacks a comprehensive representation of the genetic diversity across multiple Tibetan sheep breeds. This study aims to fill this gap by investigating the genetic structure, diversity and high-altitude adaptation of 6 Tibetan sheep breeds using whole-genome resequencing data.
View Article and Find Full Text PDFGrowth functions of periodic space tessellations.
Acta Crystallogr A Found Adv
January 2025
Department of Crystallography, Faculty of Chemistry, Adam Mickiewicz University, Poznań, Poland.
Article Synopsis
- * The study includes rigorous mathematical proofs and presents general statements about how these growth functions relate to the geometric, combinatorial, and topological features of the tessellations.
- * Additionally, a Python library is provided for users to explore these growth functions and create visual representations, known as orphic diagrams, which are inspired by orphic art.
Angioimmunoblastic T-cell lymphoma: Current Diagnostic Insights and Advances.
Hum Pathol
November 2024
Department of Pathology and Laboratory Medicine, Yale-New Haven Hospital, New Haven, CT, 310 Cedar Street, Ste BML 116C, New Haven, CT, 06510, USA. Electronic address:
Angioimmunoblastic T-cell lymphoma (AITL), or nodal T-follicular helper cell lymphoma, angioimmunoblastic type, is a rare and aggressive type of T-cell lymphoma characterized by a spectrum of clinical and histopathological features that can present diagnostic challenges. Derived from T-follicular helper cells, the genesis of AITL is thought to be a multistep process involving mutations in epigenetic regulatory genes such as TET2 and DNMT3A, followed by driver mutations in RHOA and IDH2 which promote clonal expansion as well as a characteristic inflammatory milieu. This review aims to provide a comprehensive overview of AITL, including its clinical presentation, epidemiology, pathogenesis, histomorphology and treatment options.
View Article and Find Full Text PDFNew effectual configuration of bistable nonlinear energy sink.
Sci Rep
November 2024
Khalifa University of Science and Technology, Abu Dhabi, United Arab Emirates.
The study presents a new configuration of nonlinear energy sinks (NESs) which is adaptable to function as either stable or bistable NES. The proposed NES is based on the spring-loaded inverted pendulum (SLIP) in which a torsional stiffness element couples the SLIP to the linear oscillator (LO). The bistable configuration provides a critically stable position when the SLIP is vertically aligned with respect to the LO motion.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!