Results 41 to 50 of about 10,716 (231)

Piezo2 Mediates a Vicious Cycle of “Mechanical Homeostasis Imbalance—Inflammation” in Sensory Nerves and the Cartilage Endplate

Advanced Science, EarlyView.
In a lumbar spine instability model, dorsal root ganglion cells mediate the perception of relevant mechanical stresses through Piezo2 and subsequently release CGRP. CGRP activates the NF‐κB signaling pathway in cartilage endplate cells through the receptor RAMP1.
Hanpeng Xu, Wen Geng, Zhi Du, Yifan Du, Di Wu, Bide Tong, Huaizhen Liang, Xingyu Zhou, Zixuan Ou, Junyu Wei, Kun Wang, Yu Song, Wenbin Hua, Yan Xu, Wencan Ke, Bingjin Wang, Cao Yang   +16 more
wiley   +1 more source

The dynamical system generated by the 3n+1 function

, 1998
The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems
Wirsching, Günther, Wirsching, Günther J   +1 more
core   +1 more source

THE ORDER OF NUMBERS AND THE COLLATZ PROBLEM

, 2023
The algorithm of Collatz is also known the 3n+1 problem. It will be started with any uneven natural number (n). This number is to triple and add one. Then divide by two as often as possible, if the number is even. If the number is odd, use again the 3n+1
Jacqueline Wötzel
core   +1 more source

Wavelength‐Dependent Photobiomodulation Regulates Macrophage Polarization via Mitochondrial Dynamics and Metabolic Reprogramming

Advanced Science, EarlyView.
Light wavelength encodes distinct macrophage fates through mitochondrial and metabolic remodeling. Red 625 nm irradiation induces glycolysis, mitochondrial fission, and M1 polarization, whereas near‐infrared 850 nm irradiation promotes fatty acid oxidation, mitochondrial fusion, and M2 polarization.
Qiusheng Shi, Hao Jia, Jianfei Dong, Linhao Li, Jingqi Cao, Xun Chen, Zhenzhen Jia, Jing Na, Zhijie Yang, Xinyuan Chen, Yubo Fan, Shuhua Yue, Lisha Zheng   +12 more
wiley   +1 more source

AI‐Physics‐Experiment Trinity for Integrated Protein Dynamics Modeling

Advanced Science, EarlyView.
This review unites experiments, physics‐based simulations, and AI as a synergistic triad for protein dynamics modeling. It highlights integrative strategies, resolves sampling and forcefield bottlenecks, and outlines challenges and future directions for accurate, interpretable conformational ensemble prediction.
Chen Shi, Minying Low, Peng Xiu, Kresten Lindorff‐Larsen, Yong Wang   +4 more
wiley   +1 more source

The 3n+1 Problem: Scope, History and Results [PDF]

, 2015
The 3n+1 problem can be stated in terms of a function on the positive integers: C(n) = n=2 if n is even, and C(n) = 3n + 1 if n is odd. The problem examines the iterations of this function and asks how these iterations behave.
Martiny, Theodore
core  

In‐Process Magnetization for 3D Printing of Magnetorheological Elastomer with Heterogeneous Magnetic Profile for Anisotropic Actuation

Advanced Science, EarlyView.
Fully programmable, in‐process 3D magnetization integrated with multi‐material printing enables soft magnetic systems with precise actuation and sensing. Discrete and continuous magnetization profiles drive bending, morphing, and locomotion, demonstrated through strain‐sensing elements, dragonfly‐inspired wings, octopus‐like tentacles, and a serpentine
Phillip Glass, David Hassouna, Udena Epitawala Arachchige, Hyeon Yun Jeong, Sung Hyun Park, Daeha Joung   +5 more
wiley   +1 more source

The 3n+1 problem

, 2016
Knowledge about algorithms, discrete mathematics and number theoryStart with a number. Then at each step, if n is even, compute n/2, and if n is odd, compute 3n+1. So far as anyone can tell, the resulting sequence always eventually reaches 1. But despite
Wolfram, Stephen
core   +1 more source

Polarization Dynamics in Ferroelectrics: Insights Enabled by Machine Learning Molecular Dynamics

Advanced Science, EarlyView.
Machine learning molecular dynamics is presented as a route to capture polarization switching, domain wall kinetics, topological polar textures, and polar mechanical coupling beyond the limits of conventional atomistic methods. This Perspective surveys recent progress and identifies key methodological directions, including long‐range electrostatics ...
Dongyu Bai, Ri He, Junxian Liu, Liangzhi Kou   +3 more
wiley   +1 more source

UPPER BOUNDS FOR SUNFLOWER-FREE SETS

Forum of Mathematics, Sigma, 2017
A collection of $k$ sets is said to form a $k$ -sunflower ...
ERIC NASLUND, WILL SAWIN
doaj   +1 more source