Kinetic simulation of uranium migration in granite fissure media of beishan, gansu, China: A case study based on the Laplace transform and inverse transform methods by Xianzhe Duan, Cong Du, Nan Li, Jiaxin Duan, Zhenping Tang

“…In this study, the granite rock masses in Beishan, Gansu were selected to construct a physical and mathematical model of U-238 migration using the Laplace transform and inverse transform methods. …”
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Ultrasonic and Microwave-assisted Solid-Liquid Extraction of Ginkgo biloba Phenolics: Study about Mass Transfer and PID Control by Chi XU, Hebin XU, Rui ZHU, Jing LI, Dandan LI, Yongbin HAN, Yi ZHENG, Yang TAO

“…A diffusion-based mathematical model was developed to explore the mass transfer mechanism about the studied extraction processes, and PID control algorithms were implemented to accurately control the extraction process. …”
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Investigation of vibration protection system of a seat with quasi-zero stiffness under stochastic effects on the elements of running equipment of a motor grader by M. S. Korytov, V. S. Shcherbakov, I. E. Kashapova

“…With the help of a complex simulation mathematical model of a motor grader developed in the Matlab environment, including subsystems of vibration-protective cab supports, a vibration-protective mechanism of the operator's seat, setting stochastic effects on the elements of running equipment when moving along a microrelief, a computational experiment is carried out, when processing the results of which, the influence of a number of system parameters on the root-mean-square seat acceleration deviation in the vertical direction. …”
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The analysis of energy efficiency of LNG filling pipeline from choice of thermal insulation structure by A. M. Andreev, A. Yu. Baranov, E. V. Sokolova, T. A. Malysheva, L. V. Ivanov

“…The article presents the numerical analysis of the energy efficiency for one of the stages of large-scale LNG production, namely, the LNG delivery from a storage tank to a LNG carrier vessel via a cryogenic pipeline. The mathematical model of the thermal enclosure of the pipeline has been considered, and the production cryoproduct losses due to thermal inertia of pipeline materials have been estimated. …”
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Cyclic surfaces accompanying non-ruled quadrics of rotation by K. L. Panchuk, T. M. Myasoedova, E. V. Lyubchinov

“…The geometric scheme of surface shaping is based on a construction that includes: a curvilinear axis of rotation and a one-parameter set of its normal planes; a generatrix whose points describe in normal planes circular trajectories centered on a curvilinear axis. A mathematical model of shaping the surface of non-linear rotation for the general case of specifying the axis of rotation and the generatrix is given. …”
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Assessment of changes in soil contact stress depending on tractor tire parameters by Savelii Kukharets, Andrii Zabrodskyi, Bohdan Sheludchenko, Algirdas Jasinskas, Rolandas Domeika, Egidijus Šarauskis

“…In fact, from a depth of 40 cm, the normal stresses reach equilibration according to the developed mathematical model. From a depth of 20 cm, the soil compaction pattern is similar for all tire widths tested. …”
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Biopsy location and tumor-associated macrophages in predicting malignant glioma recurrence using an in-silico model by Pejman Shojaee, Edwin Weinholtz, Nadine S. Schaadt, Friedrich Feuerhake, Haralampos Hatzikirou

“…We generated a cohort of virtual patients based on our mathematical model. Each patient’s dataset includes simulated T1Gd and Fluid-attenuated inversion recovery (FLAIR) MRI volumes. …”
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Dynamical Hybrid System for Optimizing and Controlling Efficacy of Plant-Based Protein in Aquafeeds by Serge Dossou, Mahmoud A. O. Dawood, Amr I. Zaineldin, Ibrahim A. Abouelsaad, Kumbukani Mzengereza, Ronick S. Shadrack, Yukun Zhang, Mohamed El-Sharnouby, Hamada A. Ahmed, Mohammed F. El Basuini

“…In this paper, a mathematical model was used to evaluate a dynamical hybrid system for optimizing and controlling the efficacy of plant-based protein in aquafeeds. …”
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Feedback mechanism between gully landforms and sediment trapping efficiency in a check dam by Jiangang Chen, Xi'an Wang, Huayong Chen, Wanyu Zhao, Chenyuan Wang, Xiaoqing Chen

“…The sediment trapping ratio of the check dam gradually decreased as the deposit volume increased and was linearly negatively correlated with the sediment deposition rate. Moreover, a mathematical model describing the negative feedback between deposit volume and sediment trapping ratio was established, and the physical meanings of the coefficients in the model and their empirical values were clarified. …”
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Assessment of the sedimentation and trapping efficiency in dam reservoirs by applying the settling basin framework by Bérenger Koffi, Koffi Eugène Kouakou, Alexis Loukou Brou, Martin Sanchez, Ouédé Gla Blaise, Brice Wawogninlin Coulibaly, Franck Hervé Akaffou, Michal Habel, Amani Michel Kouassi, Dibi Brou, Kouakou Lazare Kouassi

“…This study presents a hydrosedimentary mathematical model based on the theory of settling basins and Gamma Law approaches to describe the settling velocity of suspended solids. …”
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Nanoscale Titanium Oxide Memristive Structures for Neuromorphic Applications: Atomic Force Anodization Techniques, Modeling, Chemical Composition, and Resistive Switching Propertie... by Vadim I. Avilov, Roman V. Tominov, Zakhar E. Vakulov, Daniel J. Rodriguez, Nikita V. Polupanov, Vladimir A. Smirnov

“…Three anodization synthesis techniques were considered to allow the formation of structures with different sizes and productivity: nanodot, lateral, and imprint. The mathematical model allowed us to calculate the processes of oxygen ion transfer to the reaction zone; the growth of the nanostructure due to the oxidation of the titanium film; and the formation of TiO, Ti₂O₃, and TiO₂ oxides in the volume of the growing nanostructure and the redistribution of oxygen vacancies and conduction channel. …”
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A New Method for Research on Unsteady Pressure Dynamics and Productivity of Ultralow-Permeability Reservoirs by Kun Wang, Li Li, Xiao Chen, Wei Liang, Yong Yang, Zhenghe Yan, Jianwen Dai, Wei Li, Yahui Wang, Weifang Wang, Min Li, Danling Wang

“…On that basis, instead of a constant skin factor, a well-test interpretation mathematical model is established by defining and using a time-varying skin factor. …”
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Second order slip micropolar MHD hybrid nanofluid flow over a stretching surface with uniform heat source and activation energy: Numerical computational approach by Syed Arshad Abas, Hakeem Ullah, Mehreen Fiza, Ali Akgul, Aasim Ullah Jan, Magda Abd El-Rahman, Seham M. Al-Mekhlafi

“…Methodology: A mathematical model is formulated based on boundary-layer approximations, leading to a system of partial differential equations (PDEs) that describe the flow, thermal, and concentration fields. …”
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Membrane-targeted push-pull azobenzenes for the optical modulation of membrane potential by Valentina Sesti, Arianna Magni, Matteo Moschetta, Chiara Florindi, Marlene E. Pfeffer, Mattia Lorenzo DiFrancesco, Michele Guizzardi, Giulia Folpini, Luca Sala, Alessandra Gilda Ritacca, Beatrice Campanelli, Paola Moretti, Giuseppe Maria Paternò, Luca Maragliano, Matteo Tommasini, Francesco Lodola, Elisabetta Colombo, Fabio Benfenati, Chiara Bertarelli, Guglielmo Lanzani

“…Additionally, a developed mathematical model successfully captures the temporal evolution of the membrane potential upon photostimulation. …”
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Simulation and Test of Key Decorticating Components of Spiral Ramie Decorticator by Wenlong Zheng, Lan Ma, Jiajie Liu, Bo Yan, Yiping Duan, Sixun Chen, Jiangnan Lyu, Wei Xiang

“…The Box–Behnken experimental design method was used to construct a mathematical model describing the effects of the decorticating drum rotation speed and the decorticating gap on the fiber percentage of fresh stalk, and the optimal operating parameters were determined accordingly. …”
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Comprehensive two-phase flow calculation method with in-channel refrigerant boiling by A. V. Zaitsev, A. A. Malyshev, K. F. Kouadio, O. S. Malinina, A. O. Lisovtsov

“…The analytical dependencies presented form together a complete mathematical model, which is implemented in the form of a computer program…”
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Nonhomogeneous Markov chains for degeneration behaviour of RC members’ durability and its Bayesian updating by Ruiqi Guo, Dengguo Li, Guoxin Chen, Yu Jin, Hui Li, Yuanpeng Zhang

“…From the perspective of simplifying the mathematical model, the paper addresses the issue of information updating in the degradation process. …”
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Response surface methodology and adaptive neuro-fuzzy inference system for adsorption of reactive orange 16 by hydrochar by J. Oliver Paul Nayagam, K. Prasanna

“…Statistical and residual errors assessed experimental and mathematical model correctness. Experimental data matched the adaptive neuro-fuzzy inference system results. …”
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Optimization of industrial symbiosis in coffee-based eco-industrial park design by N. Laili, T. Djatna, N.S. Indrasti, M. Yani

“…Subsequently, the optimization of industrial symbiosis within eco-industrial parks was realized using a mixed-integer linear programming mathematical model.FINDINGS: The eco-industrial park design presents the actors, internal business processes, material and data exchanges, various actors’ interdependence and critical roles in material exchanges, and value creation processes using valorization within the eco-industrial park. …”
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Natural Polymer Derivative-based pH responsive Nanoformulations Entrapped Diketo-tautomers of 5-fluorouracil for Enhanced Cancer Therapy by Anbazhagan Thirumalai, Koyeli Girigoswami, Karthick Harini, Venkatakrishnan Kiran, Pazhani Durgadevi, Agnishwar Girigoswami

“…Conclusion: In acidic conditions, there is a greater release of 5-FU than neutral pH levels, indicating a pH-responsive release profile beneficial for cancer treatment, with the release mechanism of OSANPs following Fickian diffusion as identified by a Korsmeyer-Peppas mathematical model and the formu¬lation showing improved therapeutic efficacy. …”
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