High tolerance of the superconducting current to large grain boundary angles in potassium-doped BaFe2As2 by Takafumi Hatano, Dongyi Qin, Kazumasa Iida, Hongye Gao, Zimeng Guo, Hikaru Saito, Satoshi Hata, Yusuke Shimada, Michio Naito, Akiyasu Yamamoto

“…Thus, two adjacent grains should be crystallographically aligned within the critical angle (θ c), for which the intergrain critical current density (J c) starts to decrease exponentially. The θ c of several iron-based superconductors (IBSs) is larger than that of cuprates. …”
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Evaluation of windproof and sand fixation effect of protective system in the Desert oasis ecotone of Mingsha Mountain Dunhuang by Kecun Zhang, Hongxue Zhang, Zhishan An, Chengjie Xue

“…The volume of sand accumulation shows an exponential increase with wind speed, while the erosion volume decreases linearly in the desert and sand barrier fence zones. …”
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Sealing Form and Failure Mechanism of Deep In Situ Rock Core Pressure-Maintaining Controller by Nianhan Wu, Heping Xie, Ling Chen, Mingzhong Gao, Cong Li

“…Through theoretical analysis and experiments, (1) a seal-form discrimination method based on the chimeric curve is proposed to obtain the pressure seal conversion trend; (2) the leakage rate is exponentially related to the initial pressure, which confirms the pressure leakage principle of the pressure-maintaining controller; and (3) based on deformation failure theory for pressure-maintaining controllers, the failure mode and deformation trend are obtained through a destructive limit pressure experiment. …”
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In vivo MRI visualization of growth and morphology in the orthotopic xenotrasplantation U87 glioblastoma mouse SCID model by E. L. Zavjalov, I. A. Razumov, L. A. Gerlinskaya, A. V. Romashchenko

“…The study of glioblastoma growth with T2-weighed images showed that a significant tumor development began not earlier than 3 weeks after cell culture intracranial injection and then the tumor grew exponentially. Thus, we developed a protocol of the characterization of glioblastoma U87 growth and morphology by T1- and T2-weighed and MnO-enhanced MRI in the orthopic xenotransplantation mouse model. …”
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Non-Destructive Estimation of Paper Fiber Using Macro Images: A Comparative Evaluation of Network Architectures and Patch Sizes for Patch-Based Classification by Naoki Kamiya, Kosuke Ashino, Yasuhiro Sakai, Yexin Zhou, Yoichi Ohyanagi, Koji Shibazaki

“…Over the years, research in the field of cultural heritage preservation and document analysis has exponentially grown. In this study, we propose an advanced approach for non-destructive estimation of paper fibers using macro images. …”
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The Counteracting Effect of Chrysin on Dietary Fructose-Induced Metabolic-Associated Fatty Liver Disease (MAFLD) in Rats with a Focus on Glucose and Lipid Metabolism by Gabriela Campanher, Nelson Andrade, Joanne Lopes, Cláudia Silva, Maria João Pena, Ilda Rodrigues, Fátima Martel

“…The prevalence of metabolic syndrome has been exponentially increasing in recent decades. Thus, there is an increasing need for affordable and natural interventions for this disorder. …”
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Investigation on the Time Factor of CO-Based Emission Factors for Sustainable Development of Urban Tunnels in China by Weiwei Liu, Jianxun Chen, Yanbin Luo, Zhou Shi, Yunfei Wu, Zilong Xu, Fangfang Dong

“…The CO emission factor series of passenger cars conforms to exponential function distribution. The time factors of CO-based emission backcalculated from the measured data range from 4.9% to 12.6%, which are 2.4–6.3 times the specified value in the Chinese ventilation specification but slightly smaller than predicted ones. …”
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Factors Affecting Temporal and Spatial Variations of Microcystins in Gonghu Bay of Lake Taihu, with Potential Risk of Microcystin Contamination to Human Health by Qing Wang, Yuan Niu, Ping Xie, Jun Chen, Zhimei Ma, Min Tao, Min Qi, Laiyan Wu, Longgen Guo

“…Intra-/extracellular MCs and Microcystis biomass had negative exponential relationships with TN:TP, and the maximum values all occurred when TN:TP was <25. …”
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Aging damage characteristics of acid‐etched sandstone samples by Aohan Zhao, Yankun Ma, Tong Zhang, Xi Zhang

“…The etched surface appears “flocculent” and yellow sediment is produced. (2) The pores in sandstone samples are mainly micro‐ and mesopores, and the total porosity increases exponentially with the duration of acid etching. The volume fraction of micropores can reach up to 81.5%. (3) The acid etching process of sandstone samples includes physical diffusion and chemical dissolution, which can be divided into four stages and three regions from the outside to the inside. …”
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Exploring conversation laws and nonlinear dynamics of the unstable nonlinear Schrödinger equation: Stability and applications by Muhammad Arshad, Muhammad Attar Umer, Changjin Xu, Abdulrahman A. Almehizia, Faisal Yasin

“…This article analytically explores the nonlinear dynamics of the uNLSE, employing three symbolic computation methods: the three-wave (TW) approach, the positive-quadratic function (PQF) approach, and the double exponential (DE) approach. Our analysis yields novel exact solutions and multi-wave solutions, including rational solitons, breathers, and various wave types associated with this model. …”
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Numerical Simulation of Fragment Separation during Rock Cutting Using a 3D Dynamic Finite Element Analysis Code by Zhenguo Lu, Lirong Wan, Qingliang Zeng, Xin Zhang, Kuidong Gao

“…The simulation results also showed an exponential relationship between the specific energy and cutting depth and a linear relationship between the specific energy and compressive strength. …”
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A two-scale computational homogenization approach for elastoplastic truss-based lattice structures by Hooman Danesh, Lisamarie Heußen, Francisco J. Montáns, Stefanie Reese, Tim Brepols

“…This study develops a two-scale homogenization framework to model such structures, focusing on post-yielding deformations, using a combined nonlinear exponential isotropic-kinematic hardening model for the lattice struts. …”
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Mechanical Properties and Failure Behavior of Composite Samples by Hongwei Zhang, Zhijun Wan, Yuan Zhang, Dong Wu

“…The results reveal the following. (1) The uniaxial compression strength (UCS) of the RCR sample decreases with increasing height ratio as an inverse proportional function. (2) With increasing height ratio, the elastic modulus of the RCR sample decreases exponentially, while the postpeak modulus is strengthened in an inverse proportional manner. (3) Microcracking activity of the RCR sample is different from that of the pure sample during loading. …”
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Robust Control Design for the Higher Harmonic Vibration Reduction of a Nonlinear Aeroservoelastic Rotor by Byeonguk Im, Kunhyuk Kong, Wonjong Eun, Sangjoon Shin

“…A linear time periodic representation of the rotor was identified from the exponentially modulated periodic response obtained using a recursive Fourier series filter. …”
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Research on the influence of curtain grouting parameters on the stability of tunnel surrounding rock and lining structure under the action of local high water pressure by Lianhui Li, Zonglong Zhang, Changyong Nie, Xuebing Hu, Zongzhi Li, Liang Cheng, Wenfeng Zhang

“…The results show that with the increase of grouting thickness and its ratio of permeability, the maximum flow velocity and flow rate per liner meter in surrounding rock, the bending moments and axial forces, and the horizontal and vertical displacements of the lining structure all exponentially decrease, but safety factors at different positions of the lining structure first rapidly and then slowly increase. …”
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Stress wave attenuation and damage patterns of shale under methane/oxygen explosion by LUO Ning, CHAI Yabo, LI Penglong, YANG Mengdi, YANG Zhongzhou, LIAO Yucheng, CAO Xiaolong, ZHANG Haohao

“…The rise time of peak pressure is 85 μs. 2) Peak stress of the stress wave and the specific distance in the shale reservoir under the explosion load are exponentially related. 3) The increase in loading rate could form multiple cracks around the explosion hole. 4) Compared with open hole completion, the presence of casing reduces the pressure near the wellbore wall, causing type Ⅰ cracks to extend along the initial fracture direction. …”
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An enhanced system resilience assessment method during seismic hazards: Incorporating the iteration algorithm and impact increment state enumeration by Changle Liu, Baohong Li, Qin Jiang, Yingmin Zhang, Tianqi Liu

“…It is unclear when seismic hazard will occur, and this complicates the quantification of transmission line failure probability, while the uncertainty inherent in the cascading failure process poses challenges for calculating resilience metrics. Meanwhile, the exponentially increasing number of enumerations associated with a rise in failure order introduces computational challenges when we seek to assess system resilience. …”
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A Novel Analytical Inverse Kinematics Method for SSRMS-Type Space Manipulators Based on the POE Formula and the Paden-Kahan Subproblem by Yecong Wang, Xilun Ding, Zixin Tang, Chengwei Hu, Qingqing Wei, Kun Xu

“…To avoid this problem, this paper proposes a novel analytical inverse kinematics method for SSRMS-type manipulators based on the product of exponentials (POE) formula and the Paden-Kahan subproblem. …”
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DeepAptamer: Advancing high-affinity aptamer discovery with a hybrid deep learning model by Xin Yang, Chi Ho Chan, Shanshan Yao, Hang Yin Chu, Minchuan Lyu, Ziqi Chen, Huan Xiao, Yuan Ma, Sifan Yu, Fangfei Li, Jin Liu, Luyao Wang, Zongkang Zhang, Bao-Ting Zhang, Lu Zhang, Aiping Lu, Yaofeng Wang, Ge Zhang, Yuanyuan Yu

“…Oligonucleotide aptamers are typically identified through a rigorous and time-consuming process known as systematic evolution of ligands by exponential enrichment (SELEX), which requires 20 to 30 iterative rounds to eliminate non/weak binding sequences and enrich tight binding sequences with high affinity. …”
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Time-dependent model for in-situ concrete carbonation depth under combined effects of temperature and relative humidity by Ting Du, Yongjia Cai, Yipu Guo, Jinghao Chen, Sen Chen, Mofang Yuan, Fulin Qu

“…The experimental results demonstrate an exponential relationship between carbonation depth and temperature at all ages of the concrete, showing a consistent increase, with rising temperature. …”
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