Cranioplasty infection in porous hydroxyapatite: Potential antibacterial properties by Ismail Zaed, Corrado Iaccarino, Francesca Faedo, Laura Grillini, Elisabetta Galassi, Alessandro Dotti, Angelo Nataloni, Francesca Carolina Mannella, Andrea Cardia

“…Conclusion: Analyzing the growth trend of viable microorganisms under Dynamic Contact Conditions it can be seen that PHA cranioplasty appears to inhibit exponential growth by inducing bacterial stasis in the early hours of contact, reaching a maximum reduction within 4 h, in this adopted experimental condition.…”
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Deformations and seepage-induced erosion of fractured rocks in fault under confined settings by Wenbin SUN, Dianjin TIAN, Cheng MA, Yanchao XUE, Can YANG, Kaipeng ZHU

“…The fitted curves of the lost mass of particles exhibited an exponential growth function with time, with the lost mass being inversely proportional to the confining axial stress. …”
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Discrete Element Modeling on Mechanical Behavior of Heterogeneous Rock Containing X-Shaped Fissure under Uniaxial Compression by Ming Chen, Jian Liu, Zhengyong Xie, Jianjun Liu, Xunjian Hu, Bingyang Li, Yue Cen

“…The failure mode was mainly split along the axial direction, and the failure surface started from the tips of the fissure and extended to both ends of models. (5) The uniaxial compressive strength and elastic modulus increased exponentially with the increase of the homogeneity factor. …”
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Chest wall injury fracture patterns are associated with different mechanisms of injury: a retrospective review study in the United States by Jennifer M. Brewer, Owen P. Karsmarski, Jeremy Fridling, T. Russell Hill, Chasen J. Greig, Sarah E. Posillico, Carol McGuiness, Erin McLaughlin, Stephanie C. Montgomery, Manuel Moutinho, Ronald Gross, Evert A. Eriksson, Andrew R. Doben

“…Purpose Research on rib fracture management has exponentially increased. Predicting fracture patterns based on the mechanism of injury (MOI) and other possible correlations may improve resource allocation and injury prevention strategies. …”
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Comparative efficacy and safety of GLP-1 receptor agonists for weight reduction: A model-based meta-analysis of placebo-controlled trials by Haoyang Guo, Juan Yang, Jihan Huang, Ling Xu, Yinghua Lv, Yexuan Wang, Jiyuan Ren, Yulin Feng, Qingshan Zheng, Lujin Li

“…There was a significant negative correlation in the exponential pattern between age and weight reduction effect, whereas baseline weight and BMI had no significant impact. …”
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Fractional-order PID feedback synthesis controller including some external influences on insulin and glucose monitoring by Kottakkaran Sooppy Nisar, Muhammad Farman, Khadija Jamil, Saba Jamil, Evren Hincal

“…At the end comparison of numerical simulations is constructed to show the efficiency, convergence, and accuracy of proposed techniques at different fractional values with power law and exponential kernels. Numerical simulations, mathematical modeling, and analysis work together to shed light on the dynamics of diabetes mellitus and make important advances in the knowledge and treatment of this common disease.…”
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Reflections on the Yoruba Past: Toyin Falola on Isaac Delano by Wale Oyedeji

“…Leaning on the works of Isaac Delano, this work will look into the Yoruba past to reflect on the culture, philosophy, ideology, epistemology and ontology of the people, with a view to educating the general public on the inexhaustible items of their knowledge economy and productions. Falola has done exponentially well to relate to us the seemingly beautiful body of works produced by Isaac Delano in journals, newspapers, periodicals, personal records among many other things. …”
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Impact of functional re-education and environmental adaptation in cancer patients with respiratory pathology: Study protocol. by Eduardo Jose Fernandez-Rodriguez, Maria Isabel Rihuete-Galve, Alberto Garcia-Martin, Celia Sanchez-Gomez, Fausto Jose Barbero-Iglesias, Roberto Mendez-Sanchez, Ana Silvia Puente-Gonzalez, Susana Saez-Gutierrez, Emilio Fonseca-Sanchez, Juan Jesus Cruz-Hernandez

“…<h4>Background</h4>In recent years, cancer survival rates have increased exponentially. However, this rise in survival comes with a significant drawback. …”
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Experimental study on strength degradation and meso-structural characteristics of saturated sandstone under freeze-thaw cycles by Haotian XIE, Ying XU, Qiangqiang ZHENG, Meilu YU, Shoudong XIE, Chengjie LI

“…The predictive model for the strength degradation of saturated sandstone under freeze-thaw conditions follows an exponential equation. This model provides meaningful decay constants and half-life parameters for the mechanical performance and durability of rock under freeze-thaw action. …”
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Using Sequence Mining to Predict Complex Systems: A Case Study in Influenza Epidemics by Theyazn H. H. Aldhyani, Manish R. Joshi, Shahab A. AlMaaytah, Ahmed Abdullah Alqarni, Nizar Alsharif

“…The innovation of our proposed model integrates the results obtained from the existing weighted exponential smoothing model with centroids obtained from clustering. …”
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Optimal Inflow Performance Relationship Equation for Horizontal and Deviated Wells in Low-Permeability Reservoirs by Liqiang Wang, Zhengke Li, Mingji Shao, Yinghuai Cui, Wenbo Jing, Wei Zhang, Maoxian Wang

“…Based on the experimental pressure-volume-temperature results, a power exponential flow function model was established according to different intervals greater or less than the bubble point pressure, which was introduced into the subsequent derivation of the inflow performance equation. …”
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Valuation method for sub-indicators of rock burst risk based on mining depth and tectonic stress by Zhen LI, Guanyang WU, Shangjin SI, Xin GAO, Xun LIU, Dongdong ZHANG, Chengxiang ZHANG, Jiachen LIU

“…Thirdly, the critical crustal stress ratio, which corresponds to the limit of high geostress, decreases exponentially with the increase of buried depth. When the buried depth tends to the infinity, the critical geostress ratio tends to 0.6. …”
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"Preparation and curing kinetics of “bottlebrush-like structure” green bio-based ultra-low-temperature polyfarnesene nanocomposites" by WU Ming-li, LI Yong-xu, CAO Lan?鄢

“…Based on the Sestak-Berggren model of thermal analysis kinetics, the curing kinetic parameters were solved, including the reaction orders, pre-exponential factor and activation energy, and the curing kinetic equation of the composite, dα/dt=3.667×107exp(-7.514×104/RT)α1.211(1－α)1.164, where α was curing degree, t was curing time, R was molar gas constant and T was curing temperature, was established." …”
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Patient-sharing networks among Finnish primary healthcare professionals taking care of patients with mental health or substance use problems: a register study by Christian Hakulinen, Marko Elovainio, Jaana Suvisaari, Timo Sinervo, Laura Hietapakka, Visa Väisänen, Ripsa Niemi, Mai Gutvilig, Outi Linnaranta

“…A patient-sharing relationship was defined between two professionals if a same patient had visited both of them at least once.Primary outcome measures We analysed the potential associations of the network structure and the nodal attributes (municipality, belonging to a certain occupational group and the service type) with nodal formation using Exponential Random Graph Models.Results The main findings showed that two professionals were more likely to share patient(s) when they belonged to the same occupational group, provided similar types of services or worked in the same municipality. …”
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Advanced microgrid optimization using price-elastic demand response and greedy rat swarm optimization for economic and environmental efficiency by Arvind R. Singh, Bishwajit Dey, Mohit Bajaj, Sahil Kadiwala, Rangu Seshu Kumar, Soham Dutta, Ievgen Zaitsev

“…Four distinct demand response models—exponential, hyperbolic, logarithmic, and critical peak pricing (CPP)—are developed, each reflecting a different price elasticity of demand. …”
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Research on the Seismic Response Law of Complete Morphology of Butted Well Salt Cavern for Large-Scale Underground Energy Storage by Haitao Li, Dewen Zheng, Kang Li, Qiqi Wanyan, Lina Ran, Yanxia Kou, Song Bai, Jianan Wu, Jianchao Jia, Yunfei Wen, Yuanqing Wang, Hongyan Xing, Kuoyuan Zhu, Jingen Deng

“…The width of the roof waveform exhibits an exponential amplification effect relative to the cavern width. …”
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Increased serum soluble PD-l1 levels in patients with advanced stages of chronic kidney disease by Ayaka Hayashi, Ayaka Hayashi, Hiroto Ishihara, Mayuko Kawabe, Kazuhiko Kato, Kazuhiko Kato, Akio Nakashima, Akio Nakashima, Izumi Yamamoto, Teppei Sakano, Teppei Sakano, Hiroe Kobashi, Makoto Morita, Makoto Morita, Takashi Yokoo, Mitsuyoshi Urashima

“…In the Vaccine Cohort, elevated median sPD-L1 levels (pg/mL) were significantly associated with CKD stage progression (P &lt; 0.001), showing exponentially higher levels with CKD progression. A similar association was observed and validated in the Cancer Cohort (P &lt; 0.001). …”
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Estimation Model for Cotton Canopy Structure Parameters Based on Spectral Vegetation Index by Yaqin Qi, Xi Chen, Zhengchao Chen, Xin Zhang, Congju Shen, Yan Chen, Yuanying Peng, Bing Chen, Qiong Wang, Taijie Liu, Hao Zhang

“…For dry biomass, the exponential function model (<i>y = 9.1565 × 10⁻⁵∙exp(1.1146x)</i>) was the most precise, achieving an <i>R</i>² value of 0.8456 and the lowest <i>RMSE</i> value of 0.0076. …”
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Quantification of Volatile Acetone Oligomers Using Ion-Mobility Spectrometry by Tobias Hüppe, Dominik Lorenz, Felix Maurer, Tobias Fink, Ramona Klumpp, Sascha Kreuer

“…The calibration curve for acetone concentration (ppbv) and total acetone (monomers added to twice the dimers; mV) was described by the exponential growth 3-parameter model, with an R2 = 0.98. …”
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Study on the Effect of Isotropic Initial Stress on the Anchoring Performance of Self-Expanding Bolts by Jie Liu, Hongya Li, Yunzhou Li, Yunan Yang, Tao Sun, Rui Song, Rongqi Sun

“…It is pointed out that the initial confining stress value has an exponential effect on the ultimate pull-out force. It shows that the surrounding rock with strong confinement constraints can greatly increase the ultimate pull-out resistance of the bolt. …”
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