Results 41 to 50 of about 18,616,519 (314)
On the transformation of diffusion processes into the Wiener process
AbstractNecessary and sufficient conditions for transforming into the Wiener process a one-dimensional diffusion process descibed by a Kolmogorov or by a Langevin equation are provided, and the transformation is determined. The relationship of these conditions with the criterion due to Cherkasov is exploited. A few examples are discussed.
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Diffusion processes in one dimension [PDF]
in a finite or infinite interval ...
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Diffusion-Reorganized Aggregates: Attractors in Diffusion Processes? [PDF]
4 pages, 5 ...
Marcel Filoche, Bernard Sapoval
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Cyclic nucleotide signaling as a drug target in retinitis pigmentosa
Disruptions in cGMP and cAMP signaling can contribute to retinal dysfunction and photoreceptor loss in retinitis pigmentosa. This perspective examines the mechanisms and evaluates emerging evidence on targeting these pathways as a potential therapeutic strategy to slow or prevent retinal degeneration.
Katri Vainionpää+2 more
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Exposure to common noxious agents (1), including allergens, pollutants, and micro‐nanoplastics, can cause epithelial barrier damage (2) in our body's protective linings. This may trigger an immune response to our microbiome (3). The epithelial barrier theory explains how this process can lead to chronic noncommunicable diseases (4) affecting organs ...
Can Zeyneloglu+17 more
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Three‐dimensional (3D) biological systems have become key tools in lymphoma research, offering reliable in vitro and ex vivo platforms to explore pathogenesis and support precision medicine. This review highlights current 3D non‐Hodgkin lymphoma models, detailing their features, advantages, and limitations, and provides a broad perspective on future ...
Carla Faria+3 more
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The anabolic steroid stanozolol is a potent inhibitor of human MutT homolog 1
MutT homolog 1 (MTH1) is a member of the NUDIX superfamily of enzymes and is an anticancer drug target. We show that stanozolol (Stz), an anabolic steroid, is an unexpected nanomolar inhibitor of MTH1. The X‐ray crystal structure of the human MTH1–Stz complex reveals a unique binding scaffold that could be utilized for future inhibitor development ...
Emma Scaletti Hutchinson+7 more
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On conditional diffusion processes
SynopsisIf Xt is the diffusion process associated with a second-order uniformly elliptic operator L in divergence form, then without assuming smoothness in L we prove that for each x and y in ℝd,where p is the fundamental solution to the heat equation associated with L.
Lyons, T, Zheng, W
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In this work, we reveal how different enzyme binding configurations influence the fluorescence decay of NAD(P)H in live cells using time‐resolved anisotropy imaging and fluorescence lifetime imaging microscopy (FLIM). Mathematical modelling shows that the redox states of the NAD and NADP pools govern these configurations, shaping their fluorescence ...
Thomas S. Blacker+8 more
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Diffusion processes on Mandala
A mathematical representation of fractals were given by \textit{J. E. Hutchinson} [Indiana Univ. Math. J. 30, 713-747 (1981; Zbl 0598.28011)]. The study of diffusion processes on fractals was initiated by \textit{S. Kusuoka} [in: Probabilistic methods in mathematical physics, 251-274 (1987; Zbl 0645.60081)], and others.
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