Results 71 to 80 of about 282,929 (321)

Fractional time stochastic partial differential equations [PDF]

, 2014
In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the $L_2$-theory of the equations.
Chen, Zhen-Qing, Kim, Kyeong-Hun, Kim, Panki   +2 more
core  

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

Reduced differential transform method for partial differential equations within local fractional derivative operators

Advances in Mechanical Engineering, 2016
The non-differentiable solution of the linear and non-linear partial differential equations on Cantor sets is implemented in this article. The reduced differential transform method is considered in the local fractional operator sense.
Hossein Jafari, Hassan K Jassim, Seithuti P Moshokoa, Vernon M Ariyan, Fairouz Tchier   +4 more
doaj   +1 more source

Epigenetic blind spots – the role of DNA methylation dynamics in stem cell‐based models of embryogenesis

FEBS Letters, EarlyView.
Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil, Anna Corrà, Annalisa Scapolatiello, Chengxiang Qiu, Gianluca Amadei   +4 more
wiley   +1 more source

Application of homotopy perturbation method for fractional partial differential equations [PDF]

, 2014
Fractional partial differential equations arise from many fields of physics and apply a very important role in various branches of science and engineering.
Elbeleze, Asma Ali, Kilicman, Adem, M. Taib, Bachok   +2 more
core  

Colorectal cancer‐derived FGF19 is a metabolically active serum biomarker that exerts enteroendocrine effects on mouse liver

Molecular Oncology, EarlyView.
Meta‐transcriptome analysis identified FGF19 as a peptide enteroendocrine hormone associated with colorectal cancer prognosis. In vivo xenograft models showed release of FGF19 into the blood at levels that correlated with tumor volumes. Tumoral‐FGF19 altered murine liver metabolism through FGFR4, thereby reducing bile acid synthesis and increasing ...
Jordan M. Beardsley, Michael W. Rohr, Joseph A. Goode, Sai Preethi Nakkina, Jignesh G. Parikh, Deborah A. Altomare   +5 more
wiley   +1 more source

Fast Adomian decomposition method for the Cauchy problem of the time-fractional reaction diffusion equation

Advances in Mechanical Engineering, 2016
The fractional reaction diffusion equation is one of the popularly used fractional partial differential equations in recent years. The fast Adomian decomposition method is used to obtain the solution of the Cauchy problem.
Xiang-Chao Shi, Lan-Lan Huang, Yi Zeng
doaj   +1 more source

Conformable Double Laplace–Sumudu Transform Decomposition Method for Fractional Partial Differential Equations

Complexity, 2022
In this work, we proposed a new method called conformable fractional double Laplace–Sumudu transform decomposition method (CFDLSTDM) to solve fractional partial differential equations (FPDEs).This method is a combination of the Laplace–Sumudu transform ...
Jia Honggang, Zhao Yanmin
doaj   +1 more source

Equations of Mathematical Physics and Compositions of Brownian and Cauchy processes

, 2010
We consider different types of processes obtained by composing Brownian motion $B(t)$, fractional Brownian motion $B_{H}(t)$ and Cauchy processes $% C(t)$ in different manners. We study also multidimensional iterated processes in $\mathbb{R}^{d},$ like,
Beghin, Luisa, Orsingher, Enzo, Sakhno, Lyudmyla   +2 more
core   +1 more source

Novel Analytical Technique to Find Closed Form Solutions of Time Fractional Partial Differential Equations

Fractal and Fractional, 2022
In this article, a new method for obtaining closed-form solutions of the simplified modified Camassa-Holm (MCH) equation, a nonlinear fractional partial differential equation, is suggested.
M. Shakeel, Nehad Ali Shah, J. Chung
semanticscholar   +1 more source