Results 31 to 40 of about 2,581,900 (270)
Demonstratio Mathematica, 1998 Probability theory is usually based on a probability space \((\Omega, {\mathcal A},P)\) where the sets \(A\in{\mathcal A}\), resp., the indicator functions \(I_A\), are interpreted as events and the measurable maps \(\widehat X: \Omega\to \mathbb{R}\), i.e., the random variables, as observable quantities.
openaire +2 more sources
The Holling Type II Population Model Subjected to Rapid Random Attacks of Predator
Journal of Applied Mathematics, 2018 We present the analysis of a mathematical model of the dynamics of interacting predator and prey populations with the Holling type random trophic function under the assumption of random time interval passage between predator attacks on prey. We propose a
Jevgeņijs Carkovs +2 more
doaj +1 more source
Modern Stochastics: Theory and Applications, 2020 The paper deals with a stochastic heat equation driven by an additive fractional Brownian space-only noise. We prove that a solution to this equation is a stationary and ergodic Gaussian process. These results enable us to construct a strongly consistent
Diana Avetisian, Kostiantyn Ralchenko
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Future InternetThe performance of 5G/6G cellular systems operating in millimeter wave (mmWave, 30–100 GHz) and sub-terahertz (sub-THz, 100–300 GHz) bands is conventionally assessed by utilizing the static distributions of user locations.
Darya Ostrikova +5 more
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Gaussian Volterra processes with power-type kernels. Part II
Modern Stochastics: Theory and Applications, 2022 In this paper the study of a three-parametric class of Gaussian Volterra processes is continued. This study was started in Part I of the present paper.
Yuliya Mishura, Sergiy Shklyar
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Molecular Oncology, EarlyView.Etoposide induces DNA damage, activating p53‐dependent apoptosis via caspase‐3/7, which cleaves PARP1. Dammarenediol II enhances this apoptotic pathway by suppressing O‐GlcNAc transferase activity, further decreasing O‐GlcNAcylation. The reduction in O‐GlcNAc levels boosts p53‐driven apoptosis and influences the Akt/GSK3β/mTOR signaling pathway ...
Jaehoon Lee +8 more
wiley +1 more source
Cones in homotopy probability theory [PDF]
, 2014 This note defines cones in homotopy probability theory and demonstrates that a cone over a space is a reasonable replacement for the space. The homotopy Gaussian distribution in one variable is revisited as a cone on the ordinary Gaussian.Comment: 8 ...
Drummond-Cole, Gabriel C., Terilla, John
core
Correlation of the differential expression of PIK3R1 and its spliced variant, p55α, in pan‐cancer
Molecular Oncology, EarlyView.PIK3R1 undergoes alternative splicing to generate the isoforms, p85α and p55α. By combining large patient datasets with laboratory experiments, we show that PIK3R1 spliced variants shape cancer behavior. While tumors lose the protective p85α isoform, p55α is overexpressed, changes linked to poorer survival and more pronounced in African American ...
Ishita Gupta +10 more
wiley +1 more source
On the Calibration of the Kennedy Model
MathematicsThe Kennedy model offers a robust framework for modeling forward rates, leveraging Gaussian random fields to accommodate emerging phenomena such as negative rates.
Dalma Tóth-Lakits, Miklós Arató
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Molecular Oncology, EarlyView.This work identified serum proteins associated with pancreatic epithelial neoplasms (PanINs) and early‐stage PDAC. Proteomics screens assessed genetically engineered mice with abundant PanINs, KPC mice (Lox‐STOP‐Lox‐KrasG12D/+ Lox‐STOP‐Lox‐Trp53R172H/+ Pdx1‐Cre) before PDAC development and also early‐stage PDAC patients (n = 31), compared to benign ...
Hannah Mearns +10 more
wiley +1 more source