Multi-Step-Ahead Prediction of Chaotic Time Series: Self-Healing Algorithm for Restoring Values at Non-Predictable Points by Vasilii A. Gromov, Korney K. Tomashchuk, Alexey Rukavishnikov A.

“…The introduction of the concept of non-predictable points enabled to avoid the exponential growth of the prediction error as a function of the number of steps ahead, which made it possible to develop algorithms that predict many Lyapunov times (and many steps) ahead – the price for this turned out to be that some points remained non-predictable. …”
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Feasibility of NaF PET/CT and MRI for Noninvasive In Vivo Quantification of Knee Pathophysiological Bone Metabolism in a Canine Model of Post-traumatic Osteoarthritis by Maria I. Menendez DVM, PhD, Bianca Hettlich DrMedVet, Lai Wei PhD, Michael V. Knopp MD, PhD

“…The uptake of Na 18 F in the bone of the ACLT knees increased exponentially, presenting significantly higher uptake at 12 weeks in every region compared to the ACLT knees at baseline. …”
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Characteristics of Water Pollution and Evaluation of Water Quality in Subsidence Water Bodies in Huainan Coal Mining Areas, China by Xinyue Deng, Guangzhou Chen

“…Single-factor evaluation, comprehensive pollution index, the universal exponential formula of logarithmic power function, and membership degree method were used to evaluate the five important water quality indicators, namely total nitrogen, ammonia nitrogen, total phosphorus, dissolved oxygen, and chemical oxygen demand. …”
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Signatures of Transient Overvoltages in Low Voltage Power Systems in Tea Factories and Their Implications on Insulation Deterioration and Allied Power Quality Issues by Earl A. R. L. Pannila, Mahesh Edirisinghe

“…Most of the transients observed are in the form of a damped oscillatory waveform tailed by fast exponential collapse. That correlates to insulation degradation having a very steep rise as 30.04 V/ns, the highest at the withering section. …”
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On the reduction of imaging time-points for dosimetry in radionuclide therapy by Johan Gustafsson, Jan Taprogge

“…The formulae were derived under the assumptions of fixed coefficients of variation for estimated activities, and underlying mono-exponential curves. Analytical predictions were compared with results from numerical simulations and data for kidneys, liver, and spleen from a data-set of 18 patients treated with 177Lu-DOTA-TATE. …”
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A New Double Truncated Generalized Gamma Model with Some Applications by Awad A. Bakery, Wael Zakaria, OM Kalthum S. K. Mohamed

“…A new five-parameter bounded generalized Gamma model, the bounded Weibull model with four parameters, the bounded Gamma model with four parameters, the bounded generalized Gaussian model with three parameters, the bounded exponential model with three parameters, and the bounded Rayleigh model with two parameters, is presented in this paper as a special case. …”
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A Pilot Study on Impact of Mood State on Emergency Response Capacity for Young Novice Drivers by Ping Wan, Xiaowei Jing, Youcai Ma, Shan Lu, Xiaofeng Ma, Liqun Peng

“…Additionally, the young novice drivers’ CRT was significantly positively correlated with score of nervousness (0.222∗∗), vigorousness (0.227∗), and fluster (0.273∗), and a quadratic or exponential regression model was suitable to describe the correlations. …”
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Risk Balancing of Cold Ischemic Time against Night Shift Surgery Possibly Reduces Rates of Reoperation and Perioperative Graft Loss by Nikos Emmanouilidis, Julius Boeckler, Bastian P. Ringe, Alexander Kaltenborn, Frank Lehner, Hans Friedrich Koch, Jürgen Klempnauer, Harald Schrem

“…CIT-mediated risk for DGF follows an exponential pattern fx=A·(1+k·eI·x) with a cut-off for the highest risk increment at 23.5 hours. …”
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Fast Skyline Community Search in Multi-Valued Networks by Dongxiao Yu, Lifang Zhang, Qi Luo, Xiuzhen Cheng, Jiguo Yu, Zhipeng Cai

“…However, the algorithms proposed on skyline community search can only work in the special case that the nodes have different values on each attribute, and the computation complexity degrades exponentially as the number of attributes increases. …”
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Urinary Proteomic Shifts over Time and Their Associations with eGFR Decline in Chronic Kidney Disease by Zhalaliddin Makhammajanov, Kamila Nurlybayeva, Zikrillo Artikov, Pavel Tarlykov, Mohamad Aljofan, Rostislav Bukasov, Duman Turebekov, Syed Hani Abidi, Mehmet Kanbay, Abduzhappar Gaipov

“…This follow-up study investigated urinary proteomics and clinical outcomes in 18 CKD patients (stages 1–3) and 15 healthy controls using liquid chromatography–mass spectrometry and Mascot-SwissProt for protein identification. The exponentially modified protein abundance index (emPAI) was used for peptide quantification. …”
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Unraveling the response of the apparent temperature sensitivity of ecosystem respiration to rising temperature by Zhentao Liu, Junguo Liu, Deliang Chen

“…Global warming is expected to intensify carbon loss, as ecosystem respiration (RECO) rates increase exponentially with rising temperatures. However, a comprehensive analysis of the response of the apparent temperature sensitivity of RECO ( ${Q_{10}}$ ) to rising temperature is lacking. …”
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Experimental Study on Damage and Failure of Coal-Pillar Dams in Coal Mine Underground Reservoir under Dynamic Load by Qiangling Yao, Liqiang Yu, Ning Chen, Weinan Wang, Qiang Xu

“…The dynamic compressive strength and elastic modulus follow exponential and logarithmic functions of strain rate, respectively, exhibiting a significant positive correlation. …”
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Economic Evaluations of Health Service Interventions Targeting Patients with Multimorbidities: A Scoping Literature Review by Lucia Ferrara, Vittoria Ardito, Valeria D. Tozzi, Rosanna Tarricone

“…Introduction: Multimorbid patients have been growing, leading to an exponential increase in healthcare costs and patterns of resource utilization. …”
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Global research landscape and hotspots for ferroptosis in glioma: A comprehensive bibliometric and visual analysis by Xinyue Zheng, Mengyao Diao, Shan Tong, Shuo Yang, Jing Lin, Shenghua Zhuo, Ting Wang, Jian Dai, Shenbo Chen, Kai Wang

“…Our findings revealed a significant exponential growth in the number of studies during the last decade. …”
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Study on Single Event Transients in Amplifier for Switched-Capacitor Circuits in CMOS Technology by Ming Yan, Jaime Cardenas Chavez, Adriana Noguera Cundar, Kamal El-Sankary, Li Chen

“…By employing a TCAD-calibrated double exponential transient current pulse model, we simulate the SET responses resulting from heavy ion strike experiments on sensitive nodes of each MDAC type. …”
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The Evolving Roles of Macrophages in Organ Transplantation by Junhui Li, Cai Li, Quan Zhuang, Bo Peng, Yi Zhu, Qifa Ye, Yingzi Ming

“…Although our knowledge of the detrimental or beneficial effects of macrophages on transplants has exponentially increased, the exact mechanisms controlling macrophage functions are not yet completely understood. …”
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Precision livestock farming applied to the dairy sector: 50 years of history with a text mining and topic analysis approach by Lucia Trapanese, Giovanna Bifulco, Alfio Calanni Macchio, Francesca Aragona, Sissy Purrone, Giuseppe Campanile, Angela Salzano

“…Descriptive statistics revealed a significant exponential increase in studies on PLF in dairy since 2000, particularly in developed countries with a long story of dairy breeding. …”
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The global research of magnetic resonance imaging in Alzheimer’s disease: a bibliometric analysis from 2004 to 2023 by Xiaoyu Sun, Xiaoyu Sun, Jianghua Zhu, Jianghua Zhu, Ruowei Li, Ruowei Li, Yun Peng, Yun Peng, Lianggeng Gong, Lianggeng Gong

“…The number of published articles showed overall exponential growth from 2004 to 2023. The top country and institution were the United States and the University of California System, accounting for 40.30% and 9.88% of the total studies, respectively. …”
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Improved prediction model for ceiling maximum smoke temperature in the uphill tunnel fires using water spray system by Jie Wang, Dan Huang, Yanlong Song, Kaihua Lu

“…The dimensionless maximum temperature rise adheres to an exponential decay function relative to the distance from the fire source, the index is −0.37, indicating a direct proportionality. …”
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Unveiling Differentiation Characteristics of Vegetation Restoration Potential for Browning Areas in China’s Hilly and Gully Region by Juan He, Wei Zhou, Mingjie Qian, Enmao Zha, An Cao, Xueyi Shi

“…This study fills that gap by identifying the spatial heterogeneity in ecological resilience using statistical analyses and an exponential decay approach. It then evaluates the potential for ecological restoration by optimizing ecosystem structures in browning areas based on resilience and reference state. …”
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