Article
Chemistry, Multidisciplinary
Akash Saxena, Jean-Sebastien Kroll-Rabotin, R. Sean Sanders
Summary: The forces acting on aggregates depend on their properties, such as size and structure. The study investigates the evolution of aggregates in shear flow at finite Reynolds number to highlight the effect of flow inertia. The findings establish the role of flow inertia in aggregate evolution and present a novel perspective into breakage kinetics in low but finite Reynolds number conditions.
Article
Mathematics, Interdisciplinary Applications
Songul Celik, Inan Durukan, Engin Ozkan
Summary: This study explores the placement of different number sequences at the vertices of polygons, deriving relationships among the corresponding numbers and obtaining formulas for the terms of the sequences formed.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics
Krzysztof Piasecki, Anna Lyczkowska-Hanckowiak
Summary: The study found formal differences between oriented fuzzy numbers and fuzzy numbers in algebraic structures, showing they are not isomorphic models. Oriented fuzzy numbers were shown to be more useful than fuzzy numbers for portfolio analysis, indicating their utility in modeling real-world problems.
Article
Immunology
Jason Cosgrove, Lucie S. P. Hustin, Rob J. de Boer, Leila Perie
Summary: Hematopoiesis is a dynamic process where stem and progenitor cells give rise to a vast number of blood and immune cells. Quantitative descriptions can help consolidate existing data, identify knowledge gaps, and generate new hypotheses.
TRENDS IN IMMUNOLOGY
(2021)
Editorial Material
Hematology
Russell E. Ware, Stephen D. Dertinger
Summary: In this study, Gille et al. presented intriguing findings on spermatogonial progenitor cells in prepubescent males with sickle cell anemia and hydroxyurea exposure.
Article
Mathematics, Applied
Jizhen Yang, Yunpeng Wang
Summary: In this paper, we study some number theory problems by establishing congruences mod p3 involving the sums of one quadratic form and generalized Catalan numbers, as well as congruences mod p2 involving the sums of two quadratic forms and generalized Catalan numbers.
Article
Mathematics, Applied
M. Khalili, R. A. Borzooei, M. Deldar
Summary: This study aims to introduce new methods to achieve optimal matching in fuzzy graphs and classify the fuzzy sizes of the edges and vertices of a matching, called matching numbers. Matching numbers are not only a direct tool in improving existing matching optimization algorithms, but can also be used to build optimization algorithms based on the vertices of a matching. Introducing the properties of matching numbers is useful in constructing and solving edge-fuzzy and vertex-fuzzy maximization problems.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2021)
Article
Mathematics, Interdisciplinary Applications
Yasemin Alp, E. Gokcen Kocer
Summary: This paper introduces the hybrid Leonardo numbers using the Leonardo numbers, along with discussing their algebraic properties such as recurrence relation, generating function, Binet's formula, sum formulas, Catalan's identity, and Cassini's identity.
CHAOS SOLITONS & FRACTALS
(2021)
Editorial Material
Multidisciplinary Sciences
Stephanie J. Ellis, Elaine Fuchs
Summary: A dynamic mode of stem-cell regulation has been discovered in which intestinal stem cells use migration to maintain a large pool of multifunctional cells, potentially enhancing the organ's ability to respond to injury.
Editorial Material
Physics, Multidisciplinary
Richard J. C. Brown, Martin J. T. Milton
Summary: The SI prefixes are crucial for effectively communicating scientific information, as explained by Richard Brown and Martin Milton in their update.
Article
Astronomy & Astrophysics
Ram Brustein, Yotam Sherf
Summary: This study investigates the Love numbers of quantum black holes and finds that they are generally nonvanishing and negative, with magnitude dependent on the energy levels of the black holes. By comparing the Love numbers of exotic ultra compact objects and classical compact stars, it is shown that they have different parametric dependence. The detectability of the quadrupolar quantum Love number in future precision gravitational-wave observations is discussed and it is demonstrated that, under certain conditions, its magnitude is large enough to leave an observable signature on the gravitational waves emitted during the inspiral phase of moderately spinning black holes.
Article
Mathematics, Interdisciplinary Applications
Yiannis F. Contoyiannis, Pericles Papadopoulos, Niki-Lina Matiadou, Stavros G. Stavrinides, Michael P. Hanias, Stelios M. Potirakis
Summary: This paper attempts to consider critical phenomena and their phase transitions within the frame of the set of prime numbers. Thus, a novel, theoretical and purely mathematical Model of Criticality based on Prime Numbers is introduced. This model introduces a parallelism between the physical concept of criticality and the corresponding concept in prime number theory, and is applied in determining the known magic numbers of Nuclear Physics. The paper also suggests investigating other prime numbers as doubly magic numbers or candidate magic numbers for further experimental research.
CHAOS SOLITONS & FRACTALS
(2023)
Review
Mycology
Mark S. Calabon, Kevin D. Hyde, E. B. Gareth Jones, Zong-Long Luo, Wei Dong, Vedprakash G. Hurdeal, Eleni Gentekaki, Walter Rossi, Marco Leonardi, Vinodhini Thiyagaraja, Anis S. Lestari, Hong-Wei Shen, Dan-Feng Bao, Nattawut Boonyuen, Ming Zeng
Summary: This review provides a comprehensive account of fungal classification in freshwater habitats, based on biodiversity studies and recent morpho-phylogenetic analyses. The analysis includes 3,870 listed species with additional details on isolation source, habitat, geographical distribution, and molecular data. The study reveals that Ascomycota is the dominant phylum, with Sordariomycetes being the most abundant class in freshwater fungi.
Article
Multidisciplinary Sciences
Kristina Kverkova, Lucie Marhounova, Alexandra Polonyiova, Martin Kocourek, Yicheng Zhang, Seweryn Olkowicz, Barbora Strakova, Zuzana Pavelkova, Roman Vodicka, Daniel Frynta, Pavel Nemec
Summary: Comparative analysis of brain evolution across amniotes reveals that reptiles have relatively small brains and low neuronal densities compared to birds and mammals. The most significant increases in brain neurons occurred independently in birds and mammals. Two additional major increases in neuron numbers occurred in core land birds and anthropoid primates. Interestingly, relative brain size is associated with relative neuronal cell density in reptiles, birds, and primates, but not in other mammals. This has important implications for understanding the evolutionary drivers of animal cognition.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Mathematics
Yu-Wei Fan, Simion Filip
Summary: This article studies invariants called shifting numbers to measure the asymptotic translation of an autoequivalence inside the triangulated category. These invariants are similar to Poincare translation numbers widely used in dynamical systems. Furthermore, in some examples, the shifting numbers are shown to provide a quasimorphism on the group of autoequivalences. Additionally, the shifting numbers are related to the entropy function introduced by Dimitrov, Haiden, Katzarkov, and Kontsevich, as well as the phase functions of Bridgeland stability conditions.
ADVANCES IN MATHEMATICS
(2023)