Results 271 to 280 of about 1,538,874 (331)
Some characteristic properties of the time distribution of standard brownian motion
, 1968 Le Roy, M. T. Wasan
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Mathematical Methods in the Applied Sciences, EarlyView.We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
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Molecular Nutrition &Food Research, EarlyView.From the oral cavity to the establishment of bacterial adhesion in the intestinal tract, probiotic cells traverse 4 main stages: (1) bacterial transport, (2) reversible adhesion, (3) irreversible adhesion, and (4) biofilm formation. Each stage involves distinct mechanisms that govern the adhesion potential of bacteria to the intestinal mucus, which ...
Thị‐Thanh‐Trúc Phùng +4 more
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Molecular Nutrition &Food Research, EarlyView.Phycocyanin, anthocyanins, and betacyanin were tested with various sweeteners (sucrose, fructose, dextrose, xylitol, sorbitol) to assess their impact on color retention, antioxidant activity, and sensory properties. Key parameters investigated include pigment degradation, antioxidant performance, color measurements, and consumer acceptability, offering
Cristina Selin +11 more
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Magnetic Resonance in Medicine, EarlyView.Abstract Purpose Accurate MR signal simulation, including microvascular structures and water diffusion, is crucial for MRI techniques like fMRI BOLD modeling and MR vascular Fingerprinting (MRF), which use susceptibility effects on MR signals for tissue characterization.
Thomas Coudert +9 more
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Magnetic Resonance in Medicine, EarlyView.Abstract Purpose Intravoxel incoherent motion (IVIM) diffusion‐weighted imaging of tissue perfusion and diffusion has limited signal in low‐perfused tissues, which poses a challenge in measuring IVIM parameters. This work proposes an optimized analytical segmented (opAS) method for extracting IVIM parameters and compares its performance with prior ...
Erick O. Buko +2 more
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Magnetic Resonance in Medicine, EarlyView.Abstract Purpose To devise a more comprehensive quantitative representation for spectral encodings in frequency‐dependent diffusion measurements for improved estimation of D(ω). Theory and Methods Whereas a spectral diffusion measurement is typically represented by a Dirac delta function at a single attributed frequency, spectral response is ...
Eric Seth Michael +2 more
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