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1

Maxwell, Ian A., and Gregory T. Russell. "Diffusion controlled copolymerization kinetics." Die Makromolekulare Chemie, Theory and Simulations 2, no. 1 (1993): 95–128. http://dx.doi.org/10.1002/mats.1993.040020108.

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2

Berezhkovskii, A. M., Yu A. Makhnovskii, and R. A. Suris. "Kinetics of diffusion-controlled reactions." Chemical Physics 137, no. 1-3 (1989): 41–49. http://dx.doi.org/10.1016/0301-0104(89)87091-0.

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3

Dušek, Karel, and Ivan Havlíček. "Diffusion controlled kinetics of crosslinking." Progress in Organic Coatings 22, no. 1-4 (1993): 145–59. http://dx.doi.org/10.1016/0033-0655(93)80020-b.

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4

Keddam, Mourad, Polat Topuz, and Özlem Aydin. "Simulation of boronizing kinetics of AISI 316 steel with an integral diffusion model." Materials Testing 63, no. 10 (2021): 906–12. http://dx.doi.org/10.1515/mt-2021-0023.

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Abstract Boriding or boronizing is a type of surface property improvement process applied to metal or some non-metal materials by diffusion. The calculation of diffusion kinetics is also very important as it is a diffusion controlled process. Today, many researchers perform kinetic calculations by applying the Second Fick’s law to the Arrhenius equation. In this study, as an alternative to conventional kinetic calculations, the mathematical modeling of diffusion kinetics has been performed using the integral diffusion model. For the boronizing experiments, the pack-boronizing method was chosen
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5

Sharma, D. K., and D. S. Soane. "High-conversion diffusion-controlled copolymerization kinetics." Macromolecules 21, no. 3 (1988): 700–710. http://dx.doi.org/10.1021/ma00181a027.

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6

Wang, Jun, Chen Wei, Haoxue Yang, Tong Guo, Tingting Xu, and Jinshan Li. "Phase Transformation Kinetics of a FCC Al0.25CoCrFeNi High-Entropy Alloy during Isochronal Heating." Metals 8, no. 12 (2018): 1015. http://dx.doi.org/10.3390/met8121015.

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The phase transformation kinetics of a face-centered-cubic (FCC) Al0.25CoCrFeNi high-entropy alloy during isochronal heating is investigated by thermal dilation experiment. The phase transformed volume fraction is determined from the thermal expansion curve, and results show that the phase transition is controlled by diffusion controlled nucleation-growth mechanism. The kinetic parameters, activation energy and kinetic exponent are determined based on Kissinger–Akahira–Sunose (KAS) and Johnson–Mehl–Avrami (JMA) method, respectively. The activation energy and kinetic exponent determined are alm
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7

Deng, Yong, and George C. Martin. "Diffusion and Diffusion-Controlled Kinetics during Epoxy-Amine Cure." Macromolecules 27, no. 18 (1994): 5147–53. http://dx.doi.org/10.1021/ma00096a043.

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8

Filippova, Nadezhda L. "Kinetic-Diffusion-Controlled Adsorption and Desorption Kinetics on Planar Surfaces." Journal of Colloid and Interface Science 206, no. 2 (1998): 592–602. http://dx.doi.org/10.1006/jcis.1998.5771.

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9

Kozubski, Rafal, Graeme E. Murch, and Irina V. Belova. "Vacancy-Mediated Diffusion and Diffusion-Controlled Processes in Ordered Binary Intermetallics by Kinetic Monte Carlo Simulations." Diffusion Foundations 29 (April 2021): 95–115. http://dx.doi.org/10.4028/www.scientific.net/df.29.95.

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We review the results of our Monte Carlo simulation studies carried out within the past two decades in the area of atomic-migration-controlled phenomena in intermetallic compounds. The review aims at showing the high potential of Monte Carlo methods in modelling both the equilibrium states of the systems and the kinetics of the running processes. We focus on three particular problems: (i) the atomistic origin of the complexity of the ‘order-order’ relaxations in γ’-Ni3Al; (ii) surface-induced ordering phenomena in γ-FePt and (iii) ‘order—order’ kinetics and self-diffusion in the ‘triple-defect
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10

Sequeira, César A. C. "Wagnerian Scaling Diffusion Kinetics." Defect and Diffusion Forum 273-276 (February 2008): 594–601. http://dx.doi.org/10.4028/www.scientific.net/ddf.273-276.594.

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The reaction of a metal or alloy with an oxidising environment to form a scale often involves a diffusion process as the rate limiting step. The most protective oxide scales are slow growing, adherent to the substrate, and free of cracks or pores. The growth of these scales is typically by solid state diffusion of metal or oxygen ions that move via point defects in the oxide lattice. In 1933, C. Wagner established a scientific basis for oxidation processes controlled by solid state diffusion, with his celebrated derivation of the parabolic rate constant, which connects scaling rates, diffusion
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11

Beke, Dezső L., and Z. Erdélyi. "Growth Kinetics on Nanoscale: Finite Diffusion Permeability of Interfaces." Defect and Diffusion Forum 266 (September 2007): 1–12. http://dx.doi.org/10.4028/www.scientific.net/ddf.266.1.

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Growth kinetic is either diffusion or interface reaction controlled process, characterized by parabolic or linear relationships, respectively. The well known diffusion paradox, predicting infinitely fast diffusion kinetics at short times (distances) for diffusion control will be discussed and resolved, by showing that the diffusion permeability across the interface should be finite at the very beginning of the process. Thus one can arrive at an atomistic interpretation of the interface transfer coefficient, K, and at linear growth kinetics even if there is no extra potential barrier present at
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12

Kang, K., and S. Redner. "Fluctuation-dominated kinetics in diffusion-controlled reactions." Physical Review A 32, no. 1 (1985): 435–47. http://dx.doi.org/10.1103/physreva.32.435.

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13

Ho, Chien-Cheng, Dong-Syau Jan, and Fuan-Nan Tsai. "Membrane diffusion-controlled kinetics of ionic transport." Journal of Membrane Science 81, no. 3 (1993): 287–94. http://dx.doi.org/10.1016/0376-7388(93)85180-5.

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14

Fisler, D. K., and S. J. Mackwell. "Kinetics of diffusion-controlled growth of fayalite." Physics and Chemistry of Minerals 21, no. 3 (1994): 156–65. http://dx.doi.org/10.1007/bf00203146.

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15

Xu, Jingyuan, Shuchen Qin, Chaozhen Zheng, et al. "Study on Column Leaching Behavior of Low-Grade High Calcium and Magnesium Copper Ore." Minerals 14, no. 8 (2024): 822. http://dx.doi.org/10.3390/min14080822.

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This paper studies the process mineralogy, mechanism, and kinetics of column leaching behavior of low-grade high-calcium–magnesium copper ore. The effect of sulfuric acid concentration, leach solution spraying intensity, and material particle size on column leaching kinetics is discussed. The kinetic analysis of column leaching of copper indicates that sulfuric acid concentration has a significant impact. As sulfuric acid concentration increases, the limiting step of reaction shifts from chemical reaction control to a combination of chemical reaction and diffusion mixing control. Spraying inte
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16

Lee, Jai-Sung, and Ji-Hun Yu. "Diffusion-Controlled Grain Growth in Liquid-Phase Sintering of W–Cu Nanocomposites." International Journal of Materials Research 92, no. 7 (2001): 663–68. http://dx.doi.org/10.1515/ijmr-2001-0127.

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Abstract The kinetics of W grain growth during liquid-phase sintering (LPS) of W-15 – 25 wt.% Cu nanocomposite powder compacts was investigated in terms of microstructural development as well as theWatom diffusion process in liquid Cu. It was found that W grains grew rapidly while maintaining a round shape during LPS at 1623 K, being inversely proportional to the Cu matrix contents. This indicates that the diffusion-controlled Ostwald ripening (DOR) mechanism dominates the growth process in W–Cu nanocomposites. The result of this investigation on the kinetics of W grain growth definitely ident
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17

d'Heurle, F. M., and P. Gas. "Kinetics of formation of silicides: A review." Journal of Materials Research 1, no. 1 (1986): 205–21. http://dx.doi.org/10.1557/jmr.1986.0205.

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The kinetics of silicide growth are classified into three different categories: (a) diffusion controlled, (b) nucleation controlled, (c) others (reaction rate controlled). These are analyzed with the aim of understanding both the phenomenology of growth and the specific atomic mechanisms of phase formation. Diffusion-controlled growth is discussed with respect to the Nernst-Einstein equation. Stress relaxation is considered as a possible cause of reaction-rate control. The relative merits of two different types of marker experiments are compared. A few silicides are discussed in terms of what
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18

Rehan, Mohammad, Girish M. Kale, and Xiaojun Lai. "An in situ EDXRD kinetic and mechanistic study of the hydrothermal crystallization of TiO2 nanoparticles from nitric acid peptized sol–gel." CrystEngComm 17, no. 9 (2015): 2013–20. http://dx.doi.org/10.1039/c4ce02270j.

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In situ EDXRD has been used to probe the reaction kinetics and mechanism of the hydrothermal crystallization of TiO<sub>2</sub> nanoparticles. The process was found to involve a diffusion-controlled mechanism based on the Avrami–Erofe'ev kinetic model.
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19

Kublanovskii, Valeriy, and Vasyl Nikitenko. "DEPENDENCE ACTIVATION ENERGY OF THE ELECTROREDUCTION OF PALLADIUM(II) BIS-HYDROXYETHYLIMINODIACETATE COMPLEXES ON THE OVERPOTENTIAL." Ukrainian Chemistry Journal 85, no. 1 (2019): 32–37. http://dx.doi.org/10.33609/0041-6045.85.1.2019.32-37.

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The kinetic (exchange currents, apparent elect-ron transfer coefficients) and energetic (activation energies of diffusion and electron-transfer reaction) parameters of electroreduction of palladium (II) bis-hydroxyethyliminodiacetate complexes from an ele-ctrolyte containing an excess of free ligand have been determined. A method is proposed for calculating the actual activation energy of the electrode process that is controlled by mixed kinetics, based on the dif-fusion activation energy, transition reaction and the ratio of surface and volume concentrations of potenti-al-determining ions in
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20

Grebenkov, Denis S. "Diffusion-Controlled Reactions: An Overview." Molecules 28, no. 22 (2023): 7570. http://dx.doi.org/10.3390/molecules28227570.

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We review the milestones in the century-long development of the theory of diffusion-controlled reactions. Starting from the seminal work by von Smoluchowski, who recognized the importance of diffusion in chemical reactions, we discuss perfect and imperfect surface reactions, their microscopic origins, and the underlying mathematical framework. Single-molecule reaction schemes, anomalous bulk diffusions, reversible binding/unbinding kinetics, and many other extensions are presented. An alternative encounter-based approach to diffusion-controlled reactions is introduced, with emphasis on its adv
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21

Bystřický, Zdeněk, and Josef Jancar. "Morphogenesis of Photo-Polymerized Dimethacrylate Networks, Kinetics of Curing and Viscoelastic Parameters." Materials Science Forum 851 (April 2016): 207–14. http://dx.doi.org/10.4028/www.scientific.net/msf.851.207.

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The paper refers to the process of dimethacrylate networks morphogenesis. These stiff and highly cross-linked networks have been extensively used as a polymeric matrix of dental composites for decades. In the study, common co-monomer mixtures used in dental resin formulations were employed. This includes rigid aromatic base monomers, bisphenol A glycerolate dimethacrylate (Bis-GMA) and its ethoxylated alternative (Bis-EMA). Flexible aliphatic monomer, triethylene glycol dimethacrylate (TEGDMA), was used as the viscosity reducer. Kinetics of the polymerization process was studied regarding the
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22

Andre, J. C., F. Baros, and M. A. Winnik. "Kinetics of partly diffusion controlled reactions. 22. Diffusion effects on the kinetics of excimer formation." Journal of Physical Chemistry 94, no. 7 (1990): 2942–48. http://dx.doi.org/10.1021/j100370a038.

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23

Gschwend, Grégoire C., Morgan Kazmierczak, Astrid J. Olaya, Pierre-François Brevet, and Hubert H. Girault. "Two dimensional diffusion-controlled triplet–triplet annihilation kinetics." Chemical Science 10, no. 32 (2019): 7633–40. http://dx.doi.org/10.1039/c9sc00957d.

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We show with time-resolved second harmonic generation and molecular mechanics simulations that the kinetics of a two-dimensional triplet–triplet annihilation reaction at the liquid–liquid interface is affected by molecular crowding.
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24

Rips, Ilya. "Cage Effect on the Diffusion-Controlled Recombination Kinetics." Journal of Physical Chemistry 98, no. 13 (1994): 3412–16. http://dx.doi.org/10.1021/j100064a023.

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25

Green, Nicholas J. B., Rowland D. Spencer-Smith, and Alix G. Rickerby. "Recovering boundaries for partly diffusion-controlled reaction kinetics." Chemical Physics 212, no. 1 (1996): 99–114. http://dx.doi.org/10.1016/s0301-0104(96)00202-9.

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26

Lee, Sangyun, Ji-Hyun Kim, and Sangyoub Lee. "Internal Diffusion-Controlled Enzyme Reaction: The Acetylcholinesterase Kinetics." Journal of Chemical Theory and Computation 8, no. 2 (2012): 715–23. http://dx.doi.org/10.1021/ct2006727.

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27

Weiss, George H. "Book review: Kinetics of diffusion controlled chemical processes." Journal of Statistical Physics 65, no. 3-4 (1991): 823–24. http://dx.doi.org/10.1007/bf01053758.

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28

Mankevich, V. N., and V. G. Markov. "Heterogeneous mass-transfer kinetics under diffusion-controlled conditions." Journal of Engineering Physics 56, no. 1 (1989): 50–55. http://dx.doi.org/10.1007/bf00870459.

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29

Molski, A. "Fluctuation in the Kinetics of Diffusion Controlled Aggregation." Materials Science Forum 25-26 (January 1988): 397–400. http://dx.doi.org/10.4028/www.scientific.net/msf.25-26.397.

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30

Borisenko, V. E., L. I. Ivanenko, and E. A. Krushevski. "Combined reaction and diffusion controlled kinetics of silicidation." Thin Solid Films 250, no. 1-2 (1994): 53–55. http://dx.doi.org/10.1016/0040-6090(94)90164-3.

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31

Galukhin, Andrey, Roman Nosov, Ilya Nikolaev, Elena Melnikova, Daut Islamov, and Sergey Vyazovkin. "Synthesis and Polymerization Kinetics of Rigid Tricyanate Ester." Polymers 13, no. 11 (2021): 1686. http://dx.doi.org/10.3390/polym13111686.

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A new rigid tricyanate ester consisting of seven conjugated aromatic units is synthesized, and its structure is confirmed by X-ray analysis. This ester undergoes thermally stimulated polymerization in a liquid state. Conventional and temperature-modulated differential scanning calorimetry techniques are employed to study the polymerization kinetics. A transition of polymerization from a kinetic- to a diffusion-controlled regime is detected. Kinetic analysis is performed by combining isoconversional and model-based computations. It demonstrates that polymerization in the kinetically controlled
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32

A. Nebiyal. "Theoretical Analysis through Non-Linear Mathematical Modelling of the Immobilised Enzyme Kinetics and Mass Transfer Limitations under Non-Steady State Condition: HPM and DAGM." Panamerican Mathematical Journal 35, no. 3s (2025): 493–506. https://doi.org/10.52783/pmj.v35.i3s.4202.

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In this article, kinetically controlled immobilized enzymes are used to investigate a mathematical model of reaction-diffusion in a chemical process with total product inhibition kinetics. The kinetic model consists of non-linear terms associated with Fick's law in a time-dependent reaction-diffusion equation. The homotopy perturbation method (HPM) is applied to obtain an approximate analytical solution for the non-linear, time-dependent reaction-diffusion problem. Direct Akbari-Ganji's method (DAGM) is used for the steady-state condition. The following technique's approximate analytical solut
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33

Dillon, Shen J., and Martin P. Harmer. "Diffusion Controlled Abnormal Grain Growth in Ceramics." Materials Science Forum 558-559 (October 2007): 1227–36. http://dx.doi.org/10.4028/www.scientific.net/msf.558-559.1227.

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The grain growth kinetics of silica and calcia doped alumina at 1400oC and their grain boundary complexion is characterized. These data are compared to predictions of both diffusion controlled and nucleation limited interface controlled grain growth theory. It is deduced from the indicators that the mechanism for normal and abnormal grain growth in these aluminas is diffusion controlled.
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34

Ma, Xiaodong, Yaru Zhou, Liangshun Zhang, Jiaping Lin, and Xiaohui Tian. "Polymerization-like kinetics of the self-assembly of colloidal nanoparticles into supracolloidal polymers." Nanoscale 10, no. 35 (2018): 16873–80. http://dx.doi.org/10.1039/c8nr05310c.

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35

Dobner, Christoph, Gang Li, Mamun Sarker, Alexander Sinitskii, and Axel Enders. "Diffusion-controlled on-surface synthesis of graphene nanoribbon heterojunctions." RSC Advances 12, no. 11 (2022): 6615–18. http://dx.doi.org/10.1039/d2ra01008a.

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We report a diffusion-controlled process for the on-surface synthesis of graphene nanoribbon heterojunctions. Differences in the diffusion kinetics of the precursor molecules were exploited to control the GNR architecture.
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36

Kuzovkov, V. N., E. A. Kotomin, and A. I. Popov. "Anomalous kinetics of diffusion-controlled defect recombination in irradiated oxide crystals." BULLETIN OF THE L.N. GUMILYOV EURASIAN NATIONAL UNIVERSITY PHYSICS. ASTRONOMY SERIES 140, no. 3 (2022): 14–22. http://dx.doi.org/10.32523/2616-6836-2022-140-3-14-22.

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37

Biswajit, Das Gangopadhyay. "Diffusion Influenced Non-equilibrium Gating Processes of a Voltage-gated Potassium Ion Channel." Pharmaceutical and Chemical Journal 5, no. 2 (2018): 144–66. https://doi.org/10.5281/zenodo.13904176.

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Here we have studied the kinetics as well as the energetics of a diffusion influenced nonequilibrium gating&nbsp;process of a voltage-gated K-channel for a oscillatory voltage through the master equation description. A diffusioninfluenced five-state Hodgkin-Huxley type voltage-gated scheme is proposed on the basis of the established findings&nbsp;that the K-ions can diffuse through a mutated voltage sensing domain even if the channel protein remains in the&nbsp;closed conformation. At moderate frequencies of the oscillatory voltage, the dynamic hysteresis behaviour shown by&nbsp;the kinetic an
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38

Yue, Fang, Peifang Fu, Yang Liu, and Bin Zhang. "Study on mass transfer property of oxygen molecules and kinetic regimes of pressured pulverized coal combustion." Thermal Science 20, no. 3 (2016): 973–78. http://dx.doi.org/10.2298/tsci1603973y.

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The effects of pressure on diffusion of oxygen molecules during the coal combustion could not be ignored. The compressibility factor of real oxygen is investigated to evaluate the deviation between real and ideal oxygen, and obtain the mean free path of real oxygen. Comparing the Knudsen pore diameter with the minimum pore diameter, it is found that with the increase of pressure, Knudsen diffusion cannot exist at low pressure and may delay to occur at higher temperature. When pressure exceeds 3.5 MPa, no Knudsen diffusion occurs within the whole temperature range of our research. Comparing the
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39

Reddy S, Giridhar. "Kinetic Studies for the Release of Hydroxychloroquine Sulphate Drug (HCQ) In-vitro in Simulated Gastric and Intestinal Medium from Sodium Alginate and Lignosulphonic Acid Blends." Trends in Sciences 20, no. 5 (2023): 5318. http://dx.doi.org/10.48048/tis.2023.5318.

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Biodegradable polymeric blends are used to study the controlled release of Hydroxychloroquine sulphate (HCQ) as the model drug used extensively in COVID-19 treatments. HCQ drug is loaded in sodium alginate (NaAlg) and lignosulphonic acid (NaLS) blends as matrix are crosslinked using calcium chloride solution. Its release is evaluated in different pH mediums of simulated gastric fluid (SGF) and simulated intestinal fluid (SIF). The HCQ release data obtained during experimentation is used to study kinetics using different models to investigate polymeric relaxation's drug diffusion and mechanism
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40

Apykhtina, I., Boris S. Bokstein, A. Khusnutdinova, A. Petelin, and S. Rakov. "Kinetics of Diffusion-Controlled Grooving in Solid-Liquid Systems." Defect and Diffusion Forum 194-199 (April 2001): 1331–36. http://dx.doi.org/10.4028/www.scientific.net/ddf.194-199.1331.

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41

Martin, G., Pascal Bellon, and Frédéric Soisson. "Modelling Diffusion Controlled Kinetics in Equilibrium and Driven Alloys." Solid State Phenomena 42-43 (April 1995): 97–116. http://dx.doi.org/10.4028/www.scientific.net/ssp.42-43.97.

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42

Liu, Jing, Yu Ma, Rongliang Wu, and Muhuo Yu. "Molecular simulation of diffusion-controlled kinetics in stepwise polymerization." Polymer 97 (August 2016): 335–45. http://dx.doi.org/10.1016/j.polymer.2016.05.050.

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43

Klinger, L., Y. Bréchet, and G. Purdy. "On the kinetics of interface-diffusion-controlled peritectoid reactions." Acta Materialia 46, no. 8 (1998): 2617–21. http://dx.doi.org/10.1016/s1359-6454(97)00471-0.

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44

Martin, G., P. Bellon, and R. Soisson. "Modelling diffusion-controlled kinetics in equilibrium and driven alloys." Journal of Computer-Aided Materials Design 3, no. 1-3 (1996): 187–209. http://dx.doi.org/10.1007/bf01185654.

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45

Anestiev, L., L. Froyen, and L. van Vugt. "On the kinetics of diffusion controlled precipitation under microgravity." Journal of Applied Physics 88, no. 4 (2000): 2130–37. http://dx.doi.org/10.1063/1.1303849.

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46

Ben-Naim, E., and P. L. Krapivsky. "Kinetics of diffusion-controlled annihilation with sparse initial conditions." Journal of Physics A: Mathematical and Theoretical 49, no. 50 (2016): 504005. http://dx.doi.org/10.1088/1751-8113/49/50/504005.

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47

Peak, David, David C. Greenlaw, and Louis A. Schick. "Pair-correlation kinetics and the reversible diffusion-controlled reaction." Physical Review A 41, no. 10 (1990): 5362–65. http://dx.doi.org/10.1103/physreva.41.5362.

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48

Kuzovkov, V. N. "Multiparticle effects in the kinetics of diffusion-controlled reactions." Theoretical and Experimental Chemistry 21, no. 1 (1985): 31–35. http://dx.doi.org/10.1007/bf00524307.

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49

Wang, Haifeng, Feng Liu, Tao Zhang, Gencang Yang, and Yaohe Zhou. "Kinetics of diffusion-controlled transformations: Application of probability calculation." Acta Materialia 57, no. 10 (2009): 3072–83. http://dx.doi.org/10.1016/j.actamat.2009.03.010.

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50

Scott Berryman, H., and Donald R. Franceschetti. "Simulation of diffusion controlled reaction kinetics using cellular automata." Physics Letters A 136, no. 7-8 (1989): 348–52. http://dx.doi.org/10.1016/0375-9601(89)90413-1.

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