Results 81 to 90 of about 1,205,068 (305)

Towards a Compositional Framework for Describing Human Phenotypes

Advanced Science, EarlyView.
The Phenotype Assembly Method (PhenoAM) decomposes phenotype variables into measurable Features and typed Qualifiers, enabling standardized, machine‐readable Phenome Data Elements (PhenoDEs) that preserve measurement context. Applied in the International Human Phenome Project (IHPP), the framework yields 58 371 PhenoDEs and supports component‐level ...
Wanting Hu, Yunchao Ling, Xinyue Hu, Wei Chen, Rong Zhou, Xinhao Zhuang, Yanfeng Jiang, Jialu Zhao, Xingdong Chen, Jingchun Luo, Li Jin, Guoqing Zhang   +11 more
wiley   +1 more source

Binomial Coefficients and Lucas Sequences

Journal of Number Theory, 2002
Let sequences \(\{u_n\}_{n\geq 0}\) and \(\{v_n\}_{n\geq 0}\) be defined by \(u_n= \frac{a^n-b^n}{a-b}\), \(v_n= a^n+b^n\) where \(a,b\) are integers such that \(a>|b|\). (Such sequences are Lucas sequences such that the associated quadratic polynomial has integer roots.
Flammenkamp, Achim, Luca, Florian
openaire   +2 more sources

Matrix Rigidity Mechanoprimes Microglia for Inflammation Through Cytoskeletal‐to‐Nuclear Signaling and 3D Spatio‐Epigenomic Remodeling

Advanced Science, EarlyView.
Pathological tissue rigidity mechanoprimes microglia by enhancing actin cytoskeleton–nucleus coupling and chromatin opening at rigidity‐responsive cis‐regulatory elements (mechanoCREs). Subsequent NF‐κB/p65 signaling converges on this permissive regulatory state to amplify inflammatory gene expression and microglial activation.
Yu Xuan Meng, Jaegeon Joo, Yu Meng Li, Cheng Ji Li, Ali Taghizadeh, Seung Jae Shin, Buuvee Bayarkhangai, Tae‐Woo Ha, Sak Lee, Jaewoo Chung, Bo‐Eun Yoon, Hye Sung Kim, Inkyung Jung, Jung‐Hwan Lee, Kam W. Leong, Hae‐Won Kim   +15 more
wiley   +1 more source

Multiple Sums of Circular Binomial Products

Mathematics
Five classes of multiple sums about circular products of binomial coefficients are investigated. Their generating functions are explicitly expressed as rational functions, with coefficients being Fibonacci and Lucas numbers.
Marta Na Chen, Wenchang Chu
doaj   +1 more source

On a new congruence in the Catalan triangle [PDF]

Notes on Number Theory and Discrete Mathematics
For 0≤k≤n, the number C(n,k) represents the number of all lattice paths in the plane from the point (0,0) to the point (n,k), using steps (1,0) and (0,1), that never rise above the main diagonal y = x.
Jovan Mikić
doaj   +1 more source

On a Quantum Form of the Binomial Coefficient [PDF]

, 2012
A unique form of the quantum binomial coefficient (n choose k) for k = 2 and 3 is presented in this thesis. An interesting double summation formula with floor function bounds is used for k = 3.
Jacob, Eric J
core  

Molecular Atlas of Key Food Odorants Reveals Mixture‐Level Organization and Enables Generative Aroma Design

Advanced Science, EarlyView.
KFO‐Atlas reveals how real‐world aromas are organized as structured mixtures rather than individual molecules. Building on these principles, KFO‐Gen, a generative AI framework, designs perceptually valid aroma formulations and reconstructs meat‐like aromas exclusively from plant‐derived odorants, providing a foundation for mixture‐level studies and AI ...
Jingzhi Zhang, Huadong Xing, Antonella Di Pizio, Qinfei Ke, Xingran Kou, Dachuan Zhang   +5 more
wiley   +1 more source

Triple Symmetric Sums of Circular Binomial Products

Mathematics
By employing the generating function approach, 16 triple sums for circular binomial products of binomial coefficients are examined. Recurrence relations and generating functions are explicitly determined.
Marta Na Chen, Wenchang Chu
doaj   +1 more source

Random Dynamics and Finance: Constructing Implied Binomial Trees from a Predetermined Stationary Den [PDF]

We introduce a general binomial model for asset prices based on the concept of random maps. The asymptotic stationary distribution for such model is studied using techniques from dynamical systems.
Silvia Mayoral, Wael Bahsoun, Pawel Góra, Manuel Morales   +3 more
core  

A Real‐Data‐Driven Framework for Evaluating Differential Transcript Usage Methods Across Long‐Read Bulk, Single‐Cell, and Spatial Transcriptomics

Advanced Science, EarlyView.
Grounded in real biological RNA‐seq data, the framework benchmarks ten differential transcript usage (DTU) methods across short‐read bulk, long‐read bulk, long‐read single‐cell, and long‐read spatial transcriptomics. By integrating reference transcript sets with ranked DTU results, the Transcript Set Enrichment Score (TSES) identifies data‐type ...
Chenxing Zhang, Jun Liu, Qi Zhao, Huilong Yin, Angang Yang, Minhua Zheng, Rui Zhang   +6 more
wiley   +1 more source