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Artykuły w czasopismach na temat „Multiple relaxation times”

Autor: Grafiati

Data publikacji: 3 czerwca 2025

Data aktualizacji: 31 lipca 2025

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1

Furman, G. B., S. D. Goren, A. M. Panich, and A. I. Shames. "Spin Diffusion in Pure Multiple-Pulse NQR." Zeitschrift für Naturforschung A 55, no. 1-2 (2000): 54–60. http://dx.doi.org/10.1515/zna-2000-1-211.

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We present a detailed theoretical and experimental NQR multiple-pulse spin-locking study of spin-lattice relaxation and spin diffusion processes in the presence of paramagnetic impurities in solids. The obtained diffusion equation was obtained allows to find the time dependence of the magnetization in the effective field. The spin lattice relaxation times were calculated, both for direct and diffusion regimes, as functions of the correlation time and multiple-pulse parameters. Measurements of relaxation times in rotating frame allow to determine the diffusion coefficient and the radius of the

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2

Rumbach, Lucien, Jean-Paul Armspach, Daniel Gounot, et al. "Nuclear magnetic resonance T2 relaxation times in multiple sclerosis." Journal of the Neurological Sciences 104, no. 2 (1991): 176–81. http://dx.doi.org/10.1016/0022-510x(91)90307-s.

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3

Dinariev, O. Yu. "Pressure attenuation curve in the relaxation theory of filtration. Case of multiple relaxation times." Journal of Applied Mechanics and Technical Physics 36, no. 2 (1995): 252–57. http://dx.doi.org/10.1007/bf02369657.

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4

Dellar, Paul J. "Incompressible limits of lattice Boltzmann equations using multiple relaxation times." Journal of Computational Physics 190, no. 2 (2003): 351–70. http://dx.doi.org/10.1016/s0021-9991(03)00279-1.

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5

PARKS, C., N. S. SULLIVAN, and P. STACHOWIAK. "INVESTIGATION OF MULTIPLE-SPIN EXCHANGE IN 2D FILMS OF 3He: NMR STUDIES." International Journal of Modern Physics B 16, no. 20n22 (2002): 3123–26. http://dx.doi.org/10.1142/s0217979202013717.

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Results of NMR studies of the nuclear spin-spin relaxation times at low temperatures are reported for commensurate monolayers of 3 He physisorbed on hexagonal boron nitride. Temperature independent relaxation rates are observed for 0.11< T <0.56 K, and are interpreted in terms of the quantum exchange motions of the 3 He atoms. The relaxation times and the inferred effective exchange rates were observed to change significantly on replacing the 3 He atoms with relatively immobile Ne atoms. This result is understood in terms of a large 3-spin exchange in addition to 2-spin exchange.

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6

Farrow, Lutul, John Elias, MEI LI, Mingrui Yang, Carl Winalski та Xiaojuan Li. "Paper 05: Patellar Dislocation in Adolescent Patients: Influence on Patellofemoral and Tibiofemoral Cartilage based on T1ρ Relaxation Times". Orthopaedic Journal of Sports Medicine 11, № 3_suppl2 (2023): 2325967123S0000. http://dx.doi.org/10.1177/2325967123s00005.

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Objectives: Patellar dislocations are associated with a high risk of patellofemoral osteoarthritis (OA). The risk is further elevated for adolescent patients and patients who experience multiple dislocations. Quantitative MRI using T1ρ relaxation time mapping characterizes cartilage properties based on concentration of proteoglycans. Elevated T1ρ values identify cartilage degradation that could develop into post-traumatic OA. The current study compares T1ρ relaxation times throughout the knee between adolescents being treated for a single dislocation, multiple dislocations, and healthy control

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7

GEERDINK, JOOST B. W., and ALFONS G. HOEKSTRA. "COMPARING ENTROPIC AND MULTIPLE RELAXATION TIMES LATTICE BOLTZMANN METHODS FOR BLOOD FLOW SIMULATIONS." International Journal of Modern Physics C 20, no. 05 (2009): 721–33. http://dx.doi.org/10.1142/s0129183109013947.

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We compare the Lattice BGK, the Multiple Relaxation Times and the Entropic Lattice Boltzmann Methods for time harmonic flows. We measure the stability, speed and accuracy of the three models for Reynolds and Womersley numbers that are representative for human arteries. The Lattice BGK shows predictable stability and is the fastest method in terms of lattice node updates per second. The Multiple Relaxation Times LBM shows erratic stability which depends strongly on the relaxation times set chosen and is slightly slower. The Entropic LBM gives the best stability at the price of fewer lattice nod

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8

Melis, Ward, and Giovanni Samaey. "Telescopic Projective Integration for Linear Kinetic Equations with Multiple Relaxation Times." Journal of Scientific Computing 76, no. 2 (2018): 697–726. http://dx.doi.org/10.1007/s10915-017-0635-0.

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9

Dubois, François, Tony Fevrier, and Benjamin Graille. "Lattice Boltzmann Schemes with Relative Velocities." Communications in Computational Physics 17, no. 4 (2015): 1088–112. http://dx.doi.org/10.4208/cicp.2014.m394.

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AbstractIn this contribution, a new class of lattice Boltzmann schemes is introduced and studied. These schemes are presented in a framework that generalizes the multiple relaxation times method of d’Humières. They extend also the Geier’s cascaded method. The relaxation phase takes place in a moving frame involving a set of moments depending on a given relative velocity field. We establish with the Taylor expansion method that the equivalent partial differential equations are identical to the ones obtained with the multiple relaxation times method up to the second order accuracy. The method is

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10

Kazin, Pavel E., Mikhail A. Zykin, Lev A. Trusov, et al. "Multiple slow relaxation of magnetization in Dy3+ confined in the crystal matrix of rare-earth-calcium silicates with the apatite structure." Dalton Transactions 49, no. 6 (2020): 2014–23. http://dx.doi.org/10.1039/c9dt04248b.

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11

Khanna, R. K., and Abha Bhatnagar. "Dielectric relaxation of acetyl- and benzoyl-acetones." Canadian Journal of Chemistry 67, no. 5 (1989): 804–8. http://dx.doi.org/10.1139/v89-122.

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Dielectric absorption measurements are reported at radio and microwave frequencies (at six different wavelengths) for acetylacetone and benzoylacetone solutions in benzene, in a temperature range 25–60 °C. Analysis of dielectric data in terms of Cole–Cole arc plots and multiple relaxation processes reveals that, at higher temperatures, overall molecular relaxation is the dominant relaxation mechanism in these β-diketones. The observed relaxation times, distribution parameters, and dipole moments are in reasonable agreement with the few data reported for some temperatures, in the literature. Th

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12

van Breemen, L. C. A., E. T. J. Klompen, L. E. Govaert, and H. E. H. Meijer. "Extending the EGP constitutive model for polymer glasses to multiple relaxation times." Journal of the Mechanics and Physics of Solids 59, no. 10 (2011): 2191–207. http://dx.doi.org/10.1016/j.jmps.2011.05.001.

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13

Lacomis, David, Mary Osbakken, and George Gross. "Spin-lattice relaxation (T1) times of cerebral white matter in multiple sclerosis." Magnetic Resonance in Medicine 3, no. 2 (1986): 194–202. http://dx.doi.org/10.1002/mrm.1910030203.

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14

Xia, Muming, Hui Zhou, Chuntao Jiang, Jinming Cui, Yong Zeng, and Hanming Chen. "Comparative Study of 2D Lattice Boltzmann Models for Simulating Seismic Waves." Remote Sensing 16, no. 2 (2024): 285. http://dx.doi.org/10.3390/rs16020285.

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The simulation of seismic wavefields holds paramount significance in understanding subsurface structures and seismic events. The lattice Boltzmann method (LBM) provides a computational framework adept at capturing detailed wave interactions, offering a new approach to improve seismic wavefield simulations. Our study involves a novel comparative analysis of wavefields using different lattice Boltzmann models, focusing on how relaxation times, discrete velocity models, and collision operators affect simulation accuracy and efficiency. We explore the impacts of distinct relaxation times and evalu

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15

Grunewald, Elliot, and Rosemary Knight. "A laboratory study of NMR relaxation times and pore coupling in heterogeneous media." GEOPHYSICS 74, no. 6 (2009): E215—E221. http://dx.doi.org/10.1190/1.3223712.

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Nuclear magnetic resonance (NMR) relaxation times of geologic materials are closely related to pore geometry. In heterogeneous media, however, the details of this relationship are poorly understood because of a phenomenon known as pore coupling, which arises when diffusing protons sample multiple pores before relaxing. Laboratory experiments allow us to explore whether surface geochemistry can influence pore coupling and how this process affects the observed relaxation-time distribution. Measurements of the NMR response for microporous silica gel packs, treated with varying amounts of surface-

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16

Fischetti, Matteo, Leo Liberti, Domenico Salvagnin, and Toby Walsh. "Orbital shrinking: Theory and applications." Discrete Applied Mathematics 222 (January 27, 2017): 109–23. https://doi.org/10.1016/j.dam.2017.01.015.

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We present a method, based on formulation symmetry, for generating Mixed-Integer Linear Programming (MILP) relaxations with fewer variables than the original symmetric MILP. Our technique also extends to convex MINLP, and some nonconvex MINLP with a special structure. We showcase the effectiveness of our relaxation when embedded in a decomposition method applied to two important applications (multi-activity shift scheduling and multiple knapsack problem), showing that it can improve CPU times by several orders of magnitude compared to pure MIP or CP approaches

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17

TSEN, K. T., C. CHIA, J. WEST, and H. MORKOC. "POPULATION RELAXATION TIME OF OPTICAL PHONONS IN GaAs-AlAs MULTIPLE QUANTUM WELL STRUCTURES." Modern Physics Letters B 07, no. 13n14 (1993): 887–93. http://dx.doi.org/10.1142/s0217984993000886.

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Population relaxation time of confined as well as interface optical phonons in a series of GaAs-AlAs multiple quantum well structures has been measured by picosecond time-resolved Raman spectroscopy. Our experimental results have shown that (1) within the experimental accuracy, the population relaxation time of confined optical phonons in GaAs-AlAs multiple quantum well structures is independent of GaAs well-width and is given by 6±1 ps at T=10 K; (2) the population relaxation times of both GaAs -like and AlAs -like interface optical phonons increase as GaAs well-width increases from 20 Å to 1

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18

Rekanos, Ioannis T., and Theseus G. Papadopoulos. "FDTD Modeling of Wave Propagation in Cole-Cole Media With Multiple Relaxation Times." IEEE Antennas and Wireless Propagation Letters 9 (2010): 67–69. http://dx.doi.org/10.1109/lawp.2010.2043410.

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Maradesa, Adeleke, Baptiste Py, and Francesco Ciucci. "Probabilistic deconvolution of the distribution of relaxation times from multiple electrochemical impedance spectra." Journal of Power Sources 621 (November 2024): 235236. http://dx.doi.org/10.1016/j.jpowsour.2024.235236.

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20

Mukherjee, Sukanta, Puneet Pareek, Mustansir Barma, and Saroj Kumar Nandi. "Stretched exponential to power-law: crossover of relaxation in a kinetically constrained model." Journal of Statistical Mechanics: Theory and Experiment 2024, no. 2 (2024): 023205. http://dx.doi.org/10.1088/1742-5468/ad1f55.

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Abstract The autocorrelation function in many complex systems shows a crossover in the form of its decay: from a stretched exponential relaxation (SER) at short times to a power law at long times. Studies of the mechanisms leading to such multiple relaxation patterns are rare. Additionally, the inherent complexity of these systems makes it hard to understand the underlying mechanism leading to the crossover. Here we develop a simple one-dimensional spin model, which we call a domain wall (DW) to doublon model, that shows such a crossover as the nature of the excitations governing the relaxatio

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21

Kamp, Benedikt, Miriam Frenken, Jan M. Henke, et al. "Quantification of Sodium Relaxation Times and Concentrations as Surrogates of Proteoglycan Content of Patellar CARTILAGE at 3T MRI." Diagnostics 11, no. 12 (2021): 2301. http://dx.doi.org/10.3390/diagnostics11122301.

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Sodium MRI has the potential to depict cartilage health accurately, but synovial fluid can influence the estimation of sodium parameters of cartilage. Therefore, this study aimed to reduce the impact of synovial fluid to render the quantitative compositional analyses of cartilage tissue technically more robust. Two dedicated protocols were applied for determining sodium T1 and T2* relaxation times. For each protocol, data were acquired from 10 healthy volunteers and one patient with patellar cartilage damage. Data recorded with multiple repetition times for T1 measurement and multi-echo data a

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22

Papadopoulos, Konstantinos, Daniel J. Tozer, Leonora Fisniku, et al. "TI-relaxation time changes over five years in relapsing-remitting multiple sclerosis." Multiple Sclerosis Journal 16, no. 4 (2010): 427–33. http://dx.doi.org/10.1177/1352458509359924.

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The pathological effects of multiple sclerosis are not confined to lesions; tissues that appear normal on conventional magnetic resonance imaging scans are also affected, albeit subtly. One imaging technique that has proven sensitive to such effects is T1-relaxation time measurement, with previous work demonstrating abnormalities in normal-appearing white matter and grey matter. In this work we investigated the evolution of T1-relaxation time changes in normal-appearing white matter and grey matter in relapsing—remitting multiple sclerosis. Three- and five-year follow-up data from 35 people wi

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23

Chen, Hudong, Pradeep Gopalakrishnan, and Raoyang Zhang. "Recovery of Galilean invariance in thermal lattice Boltzmann models for arbitrary Prandtl number." International Journal of Modern Physics C 25, no. 10 (2014): 1450046. http://dx.doi.org/10.1142/s0129183114500466.

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In this paper, we demonstrate a set of fundamental conditions required for the formulation of a thermohydrodynamic lattice Boltzmann model at an arbitrary Prandtl number. A specific collision operator form is then proposed that is in compliance with these conditions. It admits two independent relaxation times, one for viscosity and another for thermal conductivity. But more importantly, the resulting thermohydrodynamic equations based on such a collision operator form is theoretically shown to remove the well-known non-Galilean invariant artifact at nonunity Prandtl numbers in previous thermal

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24

Malý, Pavel, J. Michael Gruber, Richard J. Cogdell, Tomáš Mančal, and Rienk van Grondelle. "Ultrafast energy relaxation in single light-harvesting complexes." Proceedings of the National Academy of Sciences 113, no. 11 (2016): 2934–39. http://dx.doi.org/10.1073/pnas.1522265113.

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Energy relaxation in light-harvesting complexes has been extensively studied by various ultrafast spectroscopic techniques, the fastest processes being in the sub–100-fs range. At the same time, much slower dynamics have been observed in individual complexes by single-molecule fluorescence spectroscopy (SMS). In this work, we use a pump–probe-type SMS technique to observe the ultrafast energy relaxation in single light-harvesting complexes LH2 of purple bacteria. After excitation at 800 nm, the measured relaxation time distribution of multiple complexes has a peak at 95 fs and is asymmetric, w

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Helton Rios, Edmilson, Rodrigo Bagueira de Vasconcellos Azeredo, Adam Keith Moss, Timothy Neil Pritchard, and Ana Beatriz Guedes Domingues. "Estimating the Permeability of Rocks by Principal Component Regressions of NMR and MICP Data." Petrophysics – The SPWLA Journal of Formation Evaluation and Reservoir Description 63, no. 3 (2022): 442–53. http://dx.doi.org/10.30632/pjv63n3-2022a10.

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The estimation of continuous downhole permeability is widely performed by nuclear magnetic resonance (NMR) using the classical Seevers-Kenyon and Timur-Coates models. The first approach uses an average of the relaxation times, whereas the latter approach is based on the fractional fluid content computed from a relaxation time distribution cutoff. However, several case studies in the literature reported that these models might fail, especially when applied to complex carbonate rocks in which permeability is often less correlated to porosity, irreducible water saturation, and relaxation times. T

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Amano, Keiko, Alan K. Li, Valentina Pedoia, et al. "Effects of Surgical Factors on Cartilage Can Be Detected Using Quantitative Magnetic Resonance Imaging After Anterior Cruciate Ligament Reconstruction." American Journal of Sports Medicine 45, no. 5 (2017): 1075–84. http://dx.doi.org/10.1177/0363546516677794.

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Background: Quantitative magnetic resonance (qMR) can be used to measure macromolecules in tissues and is a potential method of observing early cartilage changes in the development of posttraumatic osteoarthritis. Hypothesis/Purpose: We hypothesized that specific patient and surgical factors affecting cartilage matrix composition after anterior cruciate ligament (ACL) reconstruction (ACLR) can be detected using T1ρ and T2 relaxation times. Our purpose was to demonstrate this ability in a multicenter feasibility study. Study Design: Case series; Level of evidence, 4. Methods: A total of 54 pati

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Pan, Yiyong. "Lagrangian Relaxation for the Multiple Constrained Robust Shortest Path Problem." Mathematical Problems in Engineering 2019 (June 27, 2019): 1–13. http://dx.doi.org/10.1155/2019/3987278.

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The study focuses on a multiple constrained reliable path problem in which travel time reliability and resource constraints are collectively considered. Nonlinear optimization model is developed to model constrained robust shortest path problem. The dual nature of the proposed problem is deduced based on the Lagrangian duality theory. An efficient algorithm based on Lagrangian dual relaxation is designed to solve constrained robust shortest path problem. An extension problem that considers multiple constraints is discussed. Numerical studies indicate that the proposed algorithm is efficient in

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Hemmingsson, A., K. Bergström, A. Ericsson, B. Jung, G. Sperber, and K. Å. Thuomas. "Structure Enhancement by Subtraction in Magnetic Resonance Imaging." Acta Radiologica. Diagnosis 27, no. 4 (1986): 459–61. http://dx.doi.org/10.1177/028418518602700418.

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Two patients with tumours in the pituitary gland and the liver, respectively, were studied with MRI. Regions of different transverse relaxation times were found in the tumours. Subtraction of images recorded with different echo times demonstrated the tumour regions better than the original images although these were recorded with 2 repetition times and double and multiple echo sequences. Subtraction techniques may thus aid diagnosis in MRI.

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Huang, Ting, Cunxiao Miao, Shuangai Wan, Xiaoqian Tian, and Rui Li. "A Fast and Efficient Measurement System for Nuclear Spin Relaxation Times in Atomic Vapors." Sensors 19, no. 22 (2019): 4863. http://dx.doi.org/10.3390/s19224863.

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With the rapid progress of cutting-edge research such as quantum measurement technology, nuclear magnetic resonance (NMR) gyroscopes represent a major development direction of high-precision micro-miniature gyroscopes, which have significant advantages such as high precision, small size, and low power consumption. It is meaningful to measure the relaxation times of noble-gas atoms which are crucial indicators to accurately and quickly characterize the vapor cell performance as a core component of gyroscopes. In this paper, a test platform for relaxation time is built and an automatic relaxatio

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Fox, Esther E., Alan D. Hough, Siobhan Creanor, Margaret Gear, and Jennifer A. Freeman. "Effects of Pilates-Based Core Stability Training in Ambulant People With Multiple Sclerosis: Multicenter, Assessor-Blinded, Randomized Controlled Trial." Physical Therapy 96, no. 8 (2016): 1170–78. http://dx.doi.org/10.2522/ptj.20150166.

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Abstract Background Pilates exercise is often undertaken by people with multiple sclerosis (MS) who have balance and mobility difficulties. Objectives The primary aim of the study was to compare the effects of 12 weeks of Pilates exercises with relaxation on balance and mobility. Secondary aims were: (1) to compare standardized exercises with relaxation and (2) to compare Pilates exercises with standardized exercises. Methods A multicenter, assessor-blinded, randomized controlled trial was conducted. Participants with Expanded Disability Status Scale scores of 4.0 to 6.5 were randomly allocate

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Viciosa, M. Teresa, Joaquim J. Moura Ramos, Ana Rosa Garcia, and Hermínio P. Diogo. "Dynamic Behavior of the Glassy and Supercooled Liquid States of Aceclofenac Assessed by Dielectric and Calorimetric Techniques." Molecules 30, no. 3 (2025): 681. https://doi.org/10.3390/molecules30030681.

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Aceclofenac (ACF), a non-steroidal anti-inflammatory drug, was obtained in its amorphous state by cooling from melt. The glass transition was investigated using dielectric and calorimetric techniques, namely, dielectric relaxation spectroscopy (DRS), thermally stimulated depolarization currents (TSDC), and conventional and temperature-modulated differential scanning calorimetry (DSC and TM-DSC). The dynamic behavior in both the glassy and supercooled liquid states revealed multiple relaxation processes. Well below the glass transition, DRS was able to resolve two secondary relaxations, γ and β

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LeBlanc, Adrian, Chen Lin, Linda Shackelford, et al. "Muscle volume, MRI relaxation times (T2), and body composition after spaceflight." Journal of Applied Physiology 89, no. 6 (2000): 2158–64. http://dx.doi.org/10.1152/jappl.2000.89.6.2158.

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Postflight changes in muscle volume, calf muscle transverse relaxation time, and total body composition were measured in 4 crewmembers after a 17-day mission and in 14–16 crewmembers in multiple shuttle/Mir missions of 16- to 28-wk duration. During the 17-day mission, all muscle regions except the hamstrings significantly decreased 3–10% compared with baseline. During the shuttle/Mir missions, there were significant decreases in muscle volume (5–17%) in all muscle groups except the neck. These changes, which reached a new steady state by 4 mo of flight or less, were reversed within 30–60 days

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Natori, Satoshi, and Hiroshi Takano. "Two-Step Relaxation Mode Analysis with Multiple Evolution Times: Application to a Single [n]Polycatenane." Journal of the Physical Society of Japan 86, no. 4 (2017): 043003. http://dx.doi.org/10.7566/jpsj.86.043003.

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Shinar, Hadassah, Uzi Eliav, and Gil Navon. "Single and Multiple Quantum NMR Relaxation Times of Sodium and Potassium in Red Blood Cells." Israel Journal of Chemistry 32, no. 2-3 (1992): 299–304. http://dx.doi.org/10.1002/ijch.199200037.

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Javdan, Tayebeh, Elham Imani, and Ahmad Agha Negahi. "Evaluation the effect of progressive muscle relaxation technique on fatigue and daily living activities in patients with Multiple Sclerosis." Pakistan Journal of Medical and Health Sciences 15, no. 6 (2021): 1773–77. http://dx.doi.org/10.53350/pjmhs211561773.

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Aim: This is a Quasi-experimental study wich was carried out in order to determine the effects of applying progressive muscle relaxation on fatigue and daily living activity of MS patients. Background: Fatigue is one of the most common symptoms in people with multiple sclerosis (MS) and adversely affects their daily living activities. Methods: 80 MS Patients were selected then conducted in two group (40 experiments and 40 contorol). Data collector tools included: demographic questionnaire, fatigue severity scale and activity of daily living questionnaire which completed four times by two group

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Boutis, Gregory S., and Ravinath Kausik. "Static Solid Relaxation Ordered Spectroscopy: SS-ROSY." International Journal of Molecular Sciences 20, no. 23 (2019): 5888. http://dx.doi.org/10.3390/ijms20235888.

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A two-dimensional pulse sequence is introduced for correlating nuclear magnetic resonance anisotropic chemical shifts to a relaxation time (e.g., T1) in solids under static conditions. The sequence begins with a preparatory stage for measuring relaxation times, and is followed by a multiple pulse sequence for homonuclear dipolar decoupling. Data analysis involves the use of Fourier transform, followed by a one-dimensional inverse Laplace transform for each frequency index. Experimental results acquired on solid samples demonstrate the general approach, and additional variations involving heter

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Grombacher, Denys, Emily Fay, Matias Nordin, and Rosemary Knight. "The impact of pore-scale magnetic field inhomogeneity on the shape of the nuclear magnetic resonance relaxation time distribution." GEOPHYSICS 81, no. 5 (2016): EN43—EN55. http://dx.doi.org/10.1190/geo2015-0466.1.

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Measurements of the nuclear magnetic resonance (NMR) signal’s behavior with time provide powerful noninvasive insight into the pore-scale environment. The time dependence of the NMR signal, which is a function of parameters called relaxation times, is intimately linked to the geometry of the pore space and has been used successfully to estimate pore size and permeability. The basis for the pore size and permeability estimates is that interactions occurring at the grain surface often function as the primary mechanism controlling the time dependence of the NMR signal. In this limit, called the f

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Grombacher, Denys, Ahmad A. Behroozmand, and Esben Auken. "Accounting for relaxation during pulse effects for long pulses and fast relaxation times in surface nuclear magnetic resonance." GEOPHYSICS 82, no. 6 (2017): JM23—JM36. http://dx.doi.org/10.1190/geo2016-0567.1.

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Surface nuclear magnetic resonance (NMR) is a geophysical technique providing noninvasive insight into aquifer properties. To ensure that reliable water content estimates are produced, accurate modeling of the excitation process is necessary. This requires that relaxation during pulse (RDP) effects be accounted for because they may lead to biased water content estimates if neglected. In surface NMR, RDP is not directly included into the excitation modeling, rather it is accounted for by adjusting the time at which the initial amplitude of the signal is calculated. Previous work has demonstrate

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Globus, Tatiana, Igor Sizov, and Boris Gelmont. "Sub-THz specific relaxation times of hydrogen bond oscillations in E.coli thioredoxin. Molecular dynamics and statistical analysis." Faraday Discuss. 171 (2014): 179–93. http://dx.doi.org/10.1039/c4fd00029c.

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Hydrogen bonds (H-bonds) in biological macromolecules are important for the molecular structure and functions. Since interactions via hydrogen bonds are weaker than covalent bonds, it can be expected that atomic movements involving H-bonds have low frequency vibrational modes. Sub-Terahertz (sub-THz) vibrational spectroscopy that combines measurements with molecular dynamics (MD) computational prediction has been demonstrated as a promising approach for biological molecule characterization. Multiple resonance absorption lines have been reported. The knowledge of relaxation times of atomic osci

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Kjær, L., C. Thomsen, F. Gjerris, B. Mosdal, and O. Henriksen. "Tissue Characterization of Intracranial Tumors by MR Imaging." Acta Radiologica 32, no. 6 (1991): 498–504. http://dx.doi.org/10.1177/028418519103200612.

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The main purpose of this in vivo study was to provide a detailed description of the T1- and T2-relaxation processes in intracranial tumors at 1.5 T. A total of 100 patients were investigated. Optimal experimental conditions were carefully observed, including the use of long TR values. T1 determination was based on a partial saturation inversion recovery sequence covering 12 or 6 data points. T2 determination involved a multiple spin echo sequence with 32 echoes. Calculations included biexponential analysis of the 12-point T1 data and all T2 data obtained. The results were evaluated in accordan

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Henrichsen, L. K., and A. J. McHugh. "Analysis of Film Blowing with Flow-enhanced Crystallization." International Polymer Processing 22, no. 2 (2007): 179–89. http://dx.doi.org/10.1515/ipp-2007-0009.

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Abstract An analysis of the steady-state film blowing process based on a two-phase constitutive model that accounts for flow-enhanced crystallization is presented. The amorphous melt phase is represented by a multi-mode Giesekus constitutive equation with a transformation-dependent relaxation time and the semi-crystalline phase is represented by a rigid rod model. The relaxation times in the two constitutive equations are linked by an Avrami, temperature-dependent rate expression which contains a term in the Helmholtz free energy to account for flow-enhancement. Comparisons are made to experim

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Baldo, Marcello, Antonio Grassi, and Bruno Perly. "Angular correlation function for N.M.R. relaxation times A general description for molecules with multiple internal rotations." Molecular Physics 64, no. 1 (1988): 51–63. http://dx.doi.org/10.1080/00268978800100053.

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Liu, Xu, and Stewart Greenhalgh. "Fitting viscoelastic mechanical models to seismic attenuation and velocity dispersion observations and applications to full waveform modelling." Geophysical Journal International 219, no. 3 (2019): 1741–56. http://dx.doi.org/10.1093/gji/ggz395.

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SUMMARY The Cole–Cole mechanical model can match a simple seismic attenuation curve over a broad frequency range, but it is not a suitable model for replicating complicated seismic attenuation dispersion curves which exhibit multiple peaks or display pronounced asymmetry. In this case, we use the General Fractional Zener (GFZ) Model, which comprises multiple Cole–Cole elements, to approximate the attenuation observations. The observations here represent the arbitrary (frequency-dependent) dispersion behaviour from actual measurements (phase velocities and/or dissipation factors) or from some p

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Zhang, Yangyi, Lixiang Wang, Jiaming Chen, et al. "Multiple channels to enhance near-infrared emission from SiO₂–SnO₂:Er³⁺ films by Ba²⁺ ion doping." Physical Chemistry Chemical Physics 23, no. 41 (2021): 23711–17. http://dx.doi.org/10.1039/d1cp03059k.

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By doping Ba2+ ions into a SiO2–SnO2:Er3+ thin film, the NIR light emission of Er3+ ions can be enhanced by about 12 times due to the increase of oxygen vacancies, the improved crystallinity and the strong cross-relaxation processes.

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Zhang, Yangyi, Lixiang Wang, Jiaming Chen, et al. "Multiple channels to enhance near-infrared emission from SiO₂–SnO₂:Er³⁺ films by Ba²⁺ ion doping." Physical Chemistry Chemical Physics 23, no. 41 (2021): 23711–17. http://dx.doi.org/10.1039/d1cp03059k.

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By doping Ba2+ ions into a SiO2–SnO2:Er3+ thin film, the NIR light emission of Er3+ ions can be enhanced by about 12 times due to the increase of oxygen vacancies, the improved crystallinity and the strong cross-relaxation processes.

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Zahedi, Zahedi. "Integer Relaxation on Binary Quadratic Programming for Batching and Sequencing in Single Formulation to Minimize Total Actual Flow Times Criteria." ComTech: Computer, Mathematics and Engineering Applications 2, no. 2 (2011): 1083. http://dx.doi.org/10.21512/comtech.v2i2.2857.

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This paper examines batch scheduling problem that has batching and sequencing in single formulation for multiple-item case. The first step is to develop a model for single item single resource discussed in Zahedi (2008). The model determined batch sizes and their schedule simultaneously in single item case. This paper develops the model and algorithm for multiple-item case. The model functions to minimize total actual flow times. An algorithm for the model is developed using a relaxation of the binary constraints. The binary values for the decision variables are obtained from steps provided in

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Hui, Da, Zekun Wang, Yunan Cai, Wenbin Wu, Guiyong Zhang, and Moubin Liu. "An immersed boundary-lattice Boltzmann method with hybrid multiple relaxation times for viscoplastic fluid-structure interaction problems." Applied Ocean Research 119 (February 2022): 103023. http://dx.doi.org/10.1016/j.apor.2021.103023.

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Stevenson, V. L., G. J. M. Parker, G. J. Barker, et al. "Variations in T1 and T2 relaxation times of normal appearing white matter and lesions in multiple sclerosis." Journal of the Neurological Sciences 178, no. 2 (2000): 81–87. http://dx.doi.org/10.1016/s0022-510x(00)00339-7.

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Parry, A., S. Clare, M. Jenkinson, S. Smith, J. Palace, and P. M. Matthews. "White matter and lesion T1 relaxation times increase in parallel and correlate with disability in multiple sclerosis." Journal of Neurology 249, no. 9 (2002): 1279–86. http://dx.doi.org/10.1007/s00415-002-0837-7.

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Young, Jeff F., S. Charbonneau, and P. T. Coleridge. "Determination ofXz-Xx,yenergy separation and intervalley relaxation times in type-IIAlxGa1−xAs/AlAs multiple quantum wells." Physical Review B 42, no. 17 (1990): 11434–37. http://dx.doi.org/10.1103/physrevb.42.11434.

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