Results 71 to 80 of about 30,143 (265)

Lucas numbers of the form (2t/k)

Acta et Commentationes Universitatis Tartuensis de Mathematica, 2019
Let Lm denote the mth Lucas number. We show that the solutions to the diophantine equation (2t/k) = Lm, in non-negative integers t, k ≤ 2t−1, and m, are (t, k, m) = (1, 1, 0), (2, 1, 3), and (a, 0, 1) with non-negative integers a.
Irmak, Nurettin, Szalay, Laszlo
openaire   +3 more sources

Sleep Alters the Velocity of Physiological Brain Pulsations in Humans

Advanced Science, EarlyView.
Sleep alters I/CSF oscillatory flow, driven by increased respiratory (29%) and vasomotor pulsation (21%) velocities, while cardiovascular pulsations decreased by (22%). Velocity is quantified using optical flow analysis of MREG data. Spectral power increases alongside these pulsations (spatial correlation, r = 0.35 and r = 0.39, respectively ...
Ahmed Elabasy, Heta Helakari, Tommi Väyrynen, Zalán Rajna, Niko Huotari, Lauri Raitamaa, Ville Isokoski, Matti Järvelä, Mika Kaakinen, Johanna Piispala, Mika Kallio, Vesa Korhonen, Tapio Seppänen, Vesa Kiviniemi   +13 more
wiley   +1 more source

Multinomial Catalan Numbers and Lucas Analogues

, 2023
We define a new generalization of Catalan numbers to multinomial coefficients. With arithmetic methods, we study their integrality and the integrality of their Lucasnomial generalization. We give a complete characterization of regular Lucas sequences for which they yield integers up to finitely many cases.
openaire   +3 more sources

Material‐Induced Nuclear Deformation Controls Chromatin Architecture in Adipose Stem Cells

Advanced Science, EarlyView.
Tuning cell and cytoskeleton mechanics modulated nuclear shape and heterochromatin organization in ASCs. Distinct cytoskeletal architectures induced nuclear morphologies from oblate to prolate ellipsoids. Large elongated cells with a structured actin cap exhibited high nuclear strain, driving nuclear envelope deformation and heterochromatin ...
Carlo F. Natale, Luca Messina, Valeria Panzetta, Stefania Saporito, Costantino Menna, Maurizio Ventre, Paolo A. Netti   +6 more
wiley   +1 more source

On the Products of k-Fibonacci Numbers and k-Lucas Numbers

International Journal of Mathematics and Mathematical Sciences, 2014
In this paper we investigate some products of k-Fibonacci and k-Lucas numbers. We also present some generalized identities on the products of k-Fibonacci and k-Lucas numbers to establish connection formulas between them with the help of Binet's formula.
Bijendra Singh, Kiran Sisodiya, Farooq Ahmad   +2 more
doaj   +1 more source

Discovery of an Adaptive Neuroimmune Response Driving Itch and Fast Tick Removal with Implications for Preventing Pathogen Transmission

Advanced Science, EarlyView.
Doehl et al. discovered an adaptive neuroimmune mechanism that induces itch in tick‐exposed guinea pigs, enabling rapid tick removal. This itch‐induced tick removal (IITR) is mediated by an adaptive cellular immune response and is independent of IgG, IgE, or TRPV1.
Johannes S. P. Doehl, Tiago D. Serafim, Serena Doh, Charles S. Grugan, Eva Iniguez, Luana Rogerio, Ronja Frigard, Ranadhir Dey, Pedro Cecilio, Xinglong Gu, Pang‐Yen Tseng, Aline da Silva Moreira, Mahnaz Minai, James Oristian, Hans Ackerman, Steven Brooks, Caroline Percopo, Siu‐Ping Ng, Derron A. Alves, Lucas Tirloni, Jennifer M. Anderson, Adriana Marques, Fabiano Oliveira, Shaden Kamhawi, Daniel E. Sonenshine, José M. C. Ribeiro, Mark Hoon, Jesus G. Valenzuela   +27 more
wiley   +1 more source

Determinants, Norms, and the Spread of Circulant Matrices with Tribonacci and Generalized Lucas Numbers

Abstract and Applied Analysis, 2014
Circulant matrices play an important role in solving ordinary and partial differential equations. In this paper, by using the inverse factorization of polynomial of degree n, the explicit determinants of circulant and left circulant matrix involving ...
Juan Li, Zhaolin Jiang, Fuliang Lu
doaj   +1 more source

Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy

Advanced Science, EarlyView.
Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu, Mengtao Sun, Lusheng Li, Jieqiong Wang, Shibiao Wan   +4 more
wiley   +1 more source

Boosting Fast‐Charging Performance of Ni‐Rich NCM9055 Cathodes with Nb2O5 Dual Functional Modification

Advanced Science, EarlyView.
A dual‐functional Nb2O5 modulation strategy is reported to overcome kinetic limitations in Ni‐rich cathodes. The formation of LiNbO3 phase at the grain boundary of the polycrystalline NCM9055 cathode preserves a radially aligned microstructure and establishes fast lithium‐ion pathways.
Tian Rao, Zhaowen Bai, Jian Wang, Yang Ren, Qingsong Weng, Zhongzhu Liu, Maxim Avdeev, Robson Monteiro, Luanna Parreira, Xuejie Huang, Guohua Chen, Yongming Zhu   +11 more
wiley   +1 more source

Mass‐Produced and High‐Performance Nanowell Biosensor Fabricated via Semiconductor Manufacturing for Rapid and Accurate COVID‐19 Diagnosis in the Clinical Field

Advanced Science, EarlyView.
A semiconductor‐fabricated nanowell biosensor enables rapid, scalable, and highly reproducible detection of SARS‐CoV‐2 antigens from nasal swabs within ∼10 minutes. Clinical validation in 249 retrospective and 243 prospective patient samples demonstrates high sensitivity and specificity, minimal cross‐reactivity, and robust batch‐to‐batch ...
Yoo Min Park, Zahra Rezaei, Nam Ho Bae, Donggee Rho, Da‐Seul Kim, EunYoung Go, YoungTae Seo, Seok Jae Lee, Won Chan Seo, Luke P. Lee, HeaYeon Lee, Su Ryon Shin   +11 more
wiley   +1 more source