Results 111 to 120 of about 497,921 (244)

On the uniqueness of the solution of the Cauchy problem for the equation of fractional diffusion with Bessel operator

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
In this paper, we consider fractional diffusion equation involving the Bessel operator acting with respect to a spatial variable and the Riemann-Liouville fractional differentiation operator acting with respect to a time variable.
Fatima G Khushtova
doaj   +1 more source

3D Nanoprinted Structures Promote Robust Integration of Brain Organoids into Topography‐Guided Neuronal Networks

Small, EarlyView.
Dedicated cultivation platforms facilitate the implementation of brain organoids in guided neuronal networks. Fabrication is enabled by two‐photon polymerization‐based 3D nanoprinting (3DN) and allows for cultivation in standard 12‐well plates. Fine features, namely slopes, funnels, rods, steps, and walls, facilitate and promote organoid positioning ...
Malte Siegmund, Tobias Müller, Emma Wollesen, Kim Krieg, Jack Muse, Jan Hahn, Maya Luongo, Wolfgang J. Parak, Ole Pless, Robert Zierold, Robert H. Blick   +10 more
wiley   +1 more source

Harmonic functions for Bessel operators

Mathematische Zeitschrift
Abstract We establish the boundedness of the Riesz transform from the Hardy space associated with the operator to the Lebesgue space $$L^1$$ L
Dymowski, Michał, Preisner, Marcin, Sikora, Adam   +2 more
openaire   +2 more sources

Integrals of Bessel functions

, 2013
We use the operator method to evaluate a class of integrals involving Bessel or Bessel-type functions. The technique that we propose is based on the formal reduction of functions in this family to Gaussians. (C) 2012 Elsevier Ltd.
G. Dattoli, D. Babusci, P. E. Ricci, MARTINELLI, Maria Renata, GERMANO, Bruna, Dattoli, G.   +5 more
core   +2 more sources

Label‐Free YaxAB Nanopore Fingerprinting of Cancer‐Associated Single‐Residue Bcl‐xL Variants

Small Methods, EarlyView.
A YaxAB nanopore workflow enables label‐free single‐molecule fingerprinting of Bcl‐xL variants. Combined normalized current blockade and noise features generated reproducible current fingerprints for wild‐type Bcl‐xL and the cancer‐associated N136K and R165W variants across independent pores, with WT and N136K remaining distinct despite a mass ...
Minji Chung, Sohee Oh, Jin‐Sik Kim, Sungbo Hwang, Ki‐Baek Jeong, Seung‐Wook Chi   +5 more
wiley   +1 more source

Advances in deep‐tissue fluorescence imaging through optical clearing: A review

VIEW, EarlyView.
Optical clearing refers to techniques that are used to improve the optical transparency of biological tissues. Optical clearing enables imaging of deeper lying tissues as well as 3D volumetric imaging of whole organs. This review examines reports on the integration of optical clearing with advanced fluorescence imaging techniques, with particular ...
Alaka Pramod, Sanoop Pavithran M, Valery V. Tuchin, Santhosh Chidangil, C. S. Suchand Sandeep   +4 more
wiley   +1 more source

Zero‐shot learning enabled image enhancement in Bessel beam light sheet fluorescence microscopy

VIEW, EarlyView.
A physics‐guided, unsupervised deep learning‐based image restoration framework for Bessel beam light sheet fluorescence microscopy that suppresses side‐lobe‐induced artifacts is presented. The proposed zero‐shot approach achieved 2.2‐fold increase in signal‐to‐noise ratio and 89% contrast improvement in mouse kidney tissue images, demonstrating its ...
Yujie Dong, Gautam Hegde, C. S. Suchand Sandeep, Maria Merin Antony, Murukeshan Vadakke Matham   +4 more
wiley   +1 more source

Higher Order Riesz Transforms for Fourier-Bessel Expansions

, 2012
In this paper we investigate the Riesz transforms of order d ≥ 1, R d v, for Fourier-Bessel expansions. Weighted norm inequalities are proved for this operator.
Ciaurri, Ó. [0000-0002-1695-3311], Roncal, L. [0000-0003-0852-3677], Ciaurri, Ó., Roncal, L.   +3 more
core   +1 more source

Bridging the small‐angle X‐ray scattering–X‐ray diffraction gap in disordered layered materials: the CLADIFFMOD unified framework

Journal of Applied Crystallography, EarlyView.
A unified multi‐scale framework is proposed for the consistent analysis of small‐angle X‐ray scattering (SAXS) and X‐ray diffraction (XRD) in disordered clay minerals, combining morphology, stacking and turbostratic contributions within a single formalism.
Walid Oueslati
wiley   +1 more source

On estimates for the Bessel transform [PDF]

, 2013
Using a Bessel translation operator, we obtain a generalization of Theorem 2.2 in [3] for the Bessel transform for functions satisfying the (ψ,δ,β)-Bessel Lipschitz condition in the space L2,α(ℝ+)
Daher, Radouan, Abouelaz, Ahmed, El Hamma, Mohamed   +2 more
core