Results 71 to 80 of about 75,305 (259)

Multivariate Iyengar type inequalities for radial functions

Проблемы анализа, 2019
Here we present a variety of multivariate Iyengar type inequalities for radial functions defined on the shell and ball. Our approach is based on the polar coordinates in R^N, N>=2, and the related multivariate polar integration formula.
Anastassiou George A.
doaj   +1 more source

IGF2 knockout reduces but does not abolish osteosarcoma growth in vitro and in vivo

FEBS Open Bio, EarlyView.
To test whether endogenous IGF2 promotes osteosarcoma growth, IGF2 was knocked out in Saos2 cells via CRISPR‐Cas9. KO cells showed reduced proliferation in vitro, and knockout xenografts in mice reached only ~25% of wild‐type tumor volume. Insulin‐like growth factor 2 (IGF2) is implicated in osteosarcoma, but direct functional evidence of its role is ...
Shun Yao, Marco Archetti
wiley   +1 more source

Sampling Theorems Associated with Offset Linear Canonical Transform by Polar Coordinates

Fractal and Fractional
The sampling theorem for the offset linear canonical transform (OLCT) of bandlimited functions in polar coordinates is an important signal analysis tool in many fields of signal processing and optics.
Hui Zhao, Bing-Zhao Li
doaj   +1 more source

Schrodinger Equation for the Hydrogen Atom - A Simplified Treatment

E-Journal of Chemistry, 2008
A simple method is presented here for solving the wave mechanical problem of the hydrogen atom. The normal method of converting the Cartesian coordinates into polar coordinates is tedious and also requires an understanding of the Legendre and Lagurre ...
L. R. Ganesan, M. Balaji
doaj   +1 more source

Using fluorescence fluctuation spectroscopy to quantify molecular dynamics within cells

FEBS Open Bio, EarlyView.
Microscopy techniques like fluorescence correlation spectroscopy (FCS) and number and brightness analysis (N&B) allow to quantify concentrations, diffusion rates, and oligomerization of fluorescently labeled molecules in the living cell. In this protocol the principles of how to set up these types of experiments are described including calibration ...
Mark A. Hink
wiley   +1 more source

Solving the heart curve with geogebra

MATEC Web of Conferences, 2018
Heart symbols are used as expressions of love. There are several mathematical explanations that can produce a curve in the shape of a heart symbol, the most famous of which is cardioid.
Nuraida Ida, Sugilar Hamdan, Kariadinata Rahayu, Juariah Juariah, Sobarningsih Nunung   +4 more
doaj   +1 more source

Chronobiology of Cancer: How Aging Fuels Oncogenesis at the Molecular Level

Aging and Cancer, EarlyView.
This graphical abstract illustrates the key biological pathways linking aging with cancer development and progression. In the upper left, cumulative exposure to ultraviolet radiation, toxins, and reactive oxygen species (ROS) causes DNA damage and genomic instability, whereas age‐related decline in repair mechanisms, such as ATM/ATR, BER, and NER ...
Anu Singh, Aroonima Misra, Sufian Zaheer
wiley   +1 more source

White Matter and Perivascular Imaging Changes in Alzheimer's Disease and Cerebral Amyloid Angiopathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Peak‐width of skeletonized mean diffusivity (PSMD) and diffusion tensor imaging–analysis along the perivascular space (DTI‐ALPS), reflecting white matter integrity and glymphatic function, are altered in Alzheimer's disease (AD).
Debina Laishram, Guangwei Du, Sangam Kanekar, Nandakumar Nagaraja   +3 more
wiley   +1 more source

Polar-vision¹: A Novel Collinearity Equation of Perspective Projection in Polar Coordinate System [PDF]

The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
Progress has been made in the community of photogrammetry and 3d computer vision in addressing the mathematical challenge posed by the collinearity equation.
Z. Zuo, Z. Zuo, Z. Zuo, B. Zhang
doaj   +1 more source

Triangular Index Ratio as an Alternative Method to the Alpha Angle for Defining the Presence of Cam Morphology: A Prospective Cohort Study

Arthritis Care &Research, EarlyView.
Objective Cam morphology, which is a significant risk factor for hip osteoarthritis, is commonly quantified by the alpha angle (AA). This study aims to explore the potential of the triangular index ratio (TIR) to quantify cam morphology on anteroposterior radiographs by assessing the association between TIR‐defined cam morphology and the development of
Jinchi Tang, Fleur Boel, Michiel M. A. van Buuren, Noortje S. Riedstra, Myrthe A. van den Berg, Jos Runhaar, Sita Bierma‐Zeinstra, Rintje Agricola   +7 more
wiley   +1 more source