Differential Transform Algorithm for Functional Differential Equations with Time-Dependent Delays by Josef Rebenda, Zuzana Pátíková

“…We focus on retarded equations with delays which in general are functions of the independent variable. The delayed differential equation is turned into an ordinary differential equation using the method of steps. …”
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Bayesian Adaptive Lasso for the Partial Functional Linear Spatial Autoregressive Model by Dengke Xu, Ruiqin Tian, Ying Lu

“…This study introduces a partial functional linear spatial autoregressive model which can explore the relationship between a scalar spatially dependent response variable and predictive variables containing both multiple scalar covariates and a functional covariate. …”
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Assessing spatial variability of soil macro fauna and tree canopy using fractal theory (Case study: Riparian Forest of Maroon River) by Shaieste Gholami, ehsan sayad, Hamid Taleshi

“…However, taking lessons from spatial ecology, it is likely that spatial variability is the key, rather than the obstacle, to understanding the structure and function of soil biodiversity. …”
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Association between long-term visit-to-visit resting heart rate variability and cognitive decline: evidence from two national cohorts by Guangjun Zheng, Biying Zhou, Zhenger Fang, Xia Chen, Mingliang Liu, Fudong He, Haofeng Zhang, Guang Hao, Haidong Zhu, Yanbin Dong

“…Similar results were observed from several sensitivity analyses, including using average real variability and coefficient of variation for RHRV, additionally adjusted for physical activity, excluding participants who had heart problems at baseline, and further adjusting for the C-reactive protein in the CHARLS. …”
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Error-Function-Based Penalized Quantile Regression in the Linear Mixed Model by Zelin Hang, Xiuli He

“…This is a method of variable selection by ERror Function (ERF) regularization in the linear effects model. …”
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A Versatile Distribution Based on the Incomplete Gamma Function: Characterization and Applications by Jimmy Reyes, Carolina Marchant, Karol I. Santoro, Yuri A. Iriarte

“…We analyze the probability density function and explore fundamental properties, including moments, skewness, and kurtosis coefficients. …”
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HVAC/DC system reliability evaluation based on improvement point estimation method by Jiaqi ZHAO, Ning FENG, Yue WANG

“…The proposed method analyzes the structure of various components of a typical HVAC/DC system and leverages the Dirac function to smooth the involved discrete random variables, so that the discrete component status can be generally tackled in common with the load, wind power and other continuous random variables using the point estimation method. …”
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Can Emotional and Behavioral Dysregulation in Youth Be Decoded from Functional Neuroimaging? by Liana C L Portugal, Maria João Rosa, Anil Rao, Genna Bebko, Michele A Bertocci, Amanda K Hinze, Lisa Bonar, Jorge R C Almeida, Susan B Perlman, Amelia Versace, Claudiu Schirda, Michael Travis, Mary Kay Gill, Christine Demeter, Vaibhav A Diwadkar, Gary Ciuffetelli, Eric Rodriguez, Erika E Forbes, Jeffrey L Sunshine, Scott K Holland, Robert A Kowatch, Boris Birmaher, David Axelson, Sarah M Horwitz, Eugene L Arnold, Mary A Fristad, Eric A Youngstrom, Robert L Findling, Mirtes Pereira, Leticia Oliveira, Mary L Phillips, Janaina Mourao-Miranda

“…Medication was treated as a binary confounding variable. Decoded and actual clinical scores were compared using Pearson's correlation coefficient (r) and mean squared error (MSE) to evaluate the models. …”
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IgG1 versus IgG3: influence of antibody-specificity and allotypic variance on virus neutralization efficacy by Somanath Kallolimath, Lin Sun, Roman Palt, Esther Föderl-Höbenreich, Antonia Hermle, Leonie Voss, Marina Kleim, Falk Nimmerjahn, Falk Nimmerjahn, Johannes S. Gach, Lauren Hitchcock, Qiang Chen, Stanislav Melnik, Florian Eminger, Anja Lux, Anja Lux, Herta Steinkellner

“…Despite the unique advantages of IgG3 over other IgG subclasses, such as mediating enhanced effector functions and increased flexibility in antigen binding due to a long hinge region, the therapeutic potential of IgG3 remains largely unexplored. …”
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Numerical approximation of time-fractional nonlinear partial integro-differential equation using fractional Euler and cubic trigonometric B-Spline methods by Mehwish Saleem, Arshed Ali, Fazal-i-Haq, Hassan Khan

“…This method has the ability to handle any kind of nonlinearity without using iterative processes. Efficiency and reliability of the current method is analyzed for the fractional-order via three highly nonlinear test problems with variable coefficients. …”
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Increased variability in response to transcranial direct current stimulation in healthy older compared to young adults: A systematic review and meta-analysis by Anna Elisabeth Fromm, Catalina Trujillo-Llano, Ulrike Grittner, Marcus Meinzer, Agnes Flöel, Daria Antonenko

“…Across 19 studies comprising 390 older adults (mean ± SD age: 67 ± 5 years) and 384 young adults (mean ± SD age: 24 ± 3 years) receiving transcranial direct current (tDCS), we quantified behavioral variability using the log-transformed coefficient of variation ratio (lnCVR). …”
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Long-term mean climate and seasonal variability drive spatial patterns of forage production fluctuation trends across California annual grasslands by Zheng Li, Leslie M Roche, Steven Ostoja, Yufang Jin

“…Forage production is integral to the ecological and economic functions of rangeland ecosystems worldwide and is characteristically highly variable. …”
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Production components of corn as function of seed distribution along the planting row by Flavio H. da Silva, Paulo C. R. da Cunha, André C. de S. Almeida, Lucas da S. Araújo, Adriano Jakelaitis, Pedro M. da Silveira

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On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices by M. Abul-Ez, H. Abd-Elmageed, M. Hidan, M. Abdalla

“…In this paper, we establish an explicit relation between the growth of the maximum modulus and the Taylor coefficients of entire functions in several complex matrix variables (FSCMVs) in hyperspherical regions. …”
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Functional capacity: association with risk for falls, fear of falling and pain in the elderly by Alexandre de Andrade Nadu, Danila Cristina Paquier Sala, Carla de Lima Silva, Odete de Oliveira Monteiro, Paula Cristina Pereira da Costa, Meiry Fernanda Pinto Okuno

“…Spearman’s Correlation Coefficient was used to associate the continuous variables with the Fear of Falling Scale. …”
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Relationship between muscle strength and motor function in Duchenne muscular dystrophy by Milene F. Nunes, Michele E. Hukuda, Francis M. Favero, Acary B. Oliveira, Mariana C. Voos, Fátima A. Caromano

“…However, the relationship between these variables is controversial. Objective To investigate the relationship between muscle strength and motor function and between these variables and age. …”
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Radiographic and Functional Results following Subtalar Arthroereisis in Pediatric Flexible Flatfoot by David Ruiz-Picazo, Plácido Jiménez-Ortega, Francisco Doñate-Pérez, Natalia Gaspar-Aparicio, Victor García-Martín, José Ramírez-Villaescusa, Sergio Losa-Palacios

“…Two expert surgeons from the Pediatric Orthopedics Unit took separate measurements of these angles for subsequent analysis purposes and to obtain the interobserver correlation coefficient for quantitative variables. Pre- and postoperative differences in the measurement of angles were ascertained using Student’s t-test for paired samples; and a functional evaluation of the patients intervened was carried out pre- and postoperatively by administering the parent version of the Oxford Ankle Foot Questionnaire for Children (OxAFQ-C) during a clinical interview. …”
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Modeling Porosity Distribution Strategies in PEM Water Electrolyzers: A Comparative Analytical and Numerical Study by Ali Bayat, Prodip K. Das, Suvash C. Saha

“…This simplification can significantly impact the accuracy of performance predictions and the overall efficiency of electrolyzers. This study develops a mathematical framework for modeling variable porosity distributions—including constant, linearly graded, and stepwise profiles—and derives analytical expressions for permeability, effective diffusivity, and electrical conductivity. …”
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Correlation between neutrophil to lymphocyte ratio and early renal function level in elderly diabetic patients by SUN Ming-yu, GAO Po, ZHANG Shi-yang, HAN Yong-sheng

“…Logistic regression analysis was used to evaluate the effect of each confounding factor on eGFR using eGFR as an objective variable. Pearson’s correlation coefficients were used to test the associations between various variables and eGFR. …”
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MScope: A Reliable Battery for Functional Status Assessment in Multiple Sclerosis by Daniel Lisardo, Susana López-Ortiz, Irati Jauregui-Fajardo, José Pinto-Fraga, Celia García-Chico, Alba Chavarría-Miranda, Nieves Téllez, Sergio Maroto-Izquierdo

“…Neuromuscular assessments showed strong reliability with minor day-to-day variability (ICC = 0.75–0.95, CV < 8%). The battery’s overall consistency supports its use as a reliable tool for assessing functional status in MS patients.…”
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