Results 231 to 240 of about 1,612,373 (342)

Barycentric rational interpolation collocation method for solving two-dimensional linear and nonlinear integro-differential equations. [PDF]

PLoS One
Zhang W, Chen L.
europepmc   +1 more source

Decoding the Gut‐Brain Axis: Multi‐Omics Reveals a Causal Chain Linking Human Genome, Gut Microbiota, Blood Metabolites, and Alertness in the Brain

Med Research, EarlyView.
This multi‐omics study identified genetic loci, gut microbiota, blood metabolites, and gray matter volumes of orbitofrontal cortex and cerebellum that were potentially relevant to alerting in healthy Chinese adults. Subsequent two‐step one‐sample Mendelian randomization further revealed a serial mediation pathway: Bacteroides intestinalis influences ...
Hongru Li, Chuansheng Chen, Ofir Turel, Yu Pu, Hong Chen, Tingyong Feng, Jiang Qiu, Xu Lei, Qinghua He   +8 more
wiley   +1 more source

Statistical control of relaxation and synchronization in open anyonic systems. [PDF]

Sci Rep
Bittner ER, Tyagi B.
europepmc   +1 more source

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

Mathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés, Ana Navarro‐Quiles, Sorina Madalina Sferle   +2 more
wiley   +1 more source

A Mathematical Analysis of IPT-DMFT. [PDF]

Commun Math Phys
Cancès E, Kirsch A, Perrin-Roussel S.
europepmc   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Hypoellipticity of analytic differential operators in general ultradifferentiable classes. [PDF]

J Pseudodiffer Oper Appl
Fürdös S.
europepmc   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Hypercomplex neural networks: Exploring quaternion, octonion, and beyond in deep learning. [PDF]

MethodsX
Devadas RM, Hiremani V, Preethi, T S, R S, Gujjar P.   +5 more
europepmc   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source