Results 81 to 90 of about 610,031 (298)

From Dedekind’s Level 12 Identities to Combinatorial Structures of Colored Partitions

Axioms
The Dedekind η-function plays an important role in number theory, particularly in the study of modular forms, q-series, and partition identities. In this paper, we investigate several level-12 η-function identities and examine their combinatorial ...
Fatemah Mofarreh, Arooj Fatima, Ahmer Ali   +2 more
doaj   +1 more source

Effect of DFPP on Ferroptosis in Peripheral Blood CD14+ Monocytes of Hyperlipidemic Patients Involving the ACSL4/LPCAT3/ALOX5 Pathway

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Hyperlipidemia is a major risk factor for atherosclerotic cardiovascular disease (ASCVD). Although statins are the cornerstone of lipid‐lowering therapy, their use may be limited in some patients by adverse effects. This study evaluated the possible impact of non‐drug treatment using double‐filtration plasmapheresis (DFPP) on CD14+
Yun Cheng, Lan Li, Qingmei Yang, Meipeng Wu   +3 more
wiley   +1 more source

Combinatorial grid sequencing: An axiomatic framework for grid-based combinatorial dynamics

This work introduces Combinatorial Grid Sequencing (CGS), an axiomatic combinatorial theory inspired by certain patterns of concrete-casting works in multi-storey building construction.
Christoporus A. A. Ohmar, Rizal Purnawan, Angga Trisna Yudhistira   +2 more
core   +1 more source

On Some Combinatorial Interpretations of Slater's Identities

, 1990
Four combinatorial interpretations of identities due to L. J. Slater that have recently been published are slightly incorrect. I show how they may be corrected and also provide a new interpretation of one of these identities.
R. P. Lewis
core   +1 more source

Some combinatorial identities concerning harmonic numbers and binomial coefficients [PDF]

Discrete Mathematics Letters, 2021
Dongwei Guo
doaj   +1 more source

Powers of a Matrix and Combinatorial Identities

, 2005
In this article we obtain a general polynomial identity in $k$ variables, where $k\geq 2$ is an arbitrary positive integer. We use this identity to give a closed-form expression for the entries of the powers of a $k \times k$ matrix. Finally, we use these results to derive various combinatorial identities.
McLaughlin, James, Sury, B.
openaire   +4 more sources

Organoids in pediatric cancer research

FEBS Letters, EarlyView.
Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley   +1 more source

A new proof of Boole’s additive combinatorics formula [PDF]

Discrete Mathematics Letters, 2022
Necdet Batır, Sevda Atpınar
doaj   +1 more source

Infinite products over hyperpyramid lattices

International Journal of Mathematics and Mathematical Sciences, 2000
New infinite product identities are given, based on summed visible (from the origin) point vectors. Each result is found from summing on vpv lattices dividing space into radial regions from the origin. Recently, Baake et al.
Geoffrey B. Campbell
doaj   +1 more source

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

FEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source