Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle by Dennis Horstmann, Kirill Melnikov, Ming-Ming Long, Andrey Pikelner

“…To calculate it, we use the standard methodology involving reverse unitarity and its extension to cases with Heaviside functions, integration-by-parts technology and reduction to master integrals, and differential equations. …”
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Symbolic Computation and the Extended Hyperbolic Function Method for Constructing Exact Traveling Solutions of Nonlinear PDEs by Huang Yong, Shang Yadong, Yuan Wenjun

“…On the basis of the computer symbolic system Maple and the extended hyperbolic function method, we develop a more mathematically rigorous and systematic procedure for constructing exact solitary wave solutions and exact periodic traveling wave solutions in triangle form of various nonlinear partial differential equations that are with physical backgrounds. …”
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The Exact Inequalities of Jackson–Stechkin Type and the Width Values for Some Classes of Functions in L₂ Space by M. R. Langarshoev

“…In this paper, some exact inequalities between the best approximations of periodic differentiable functions with trigonometric polynomials and generalized moduli of the continuity Ωm of m-th order in L₂[0, 2π] space are found. …”
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The functions of DNA methyltransferases during the feeding and development of Haemaphysalis longicornis are potentially associated with lysosome pathways by Zhijun Yu, Tingwei Pei, Xinyue Shi, Chuks F. Nwanade, Ziyan Bing, Ziwen Gao, Jianglei Meng, Lu Li, Jingze Liu

“…Molecular functions were mainly concentrated on oxidoreductase activity, ribosome structure composition, serine-type endopeptidase activity, molecular function regulators, and endopeptidase inhibitor activity. …”
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Exploring the Functional Disorder and Corresponding Key Transcription Factors in Intraductal Papillary Mucinous Neoplasms Progression by Guiying Bai, Chenxuan Wu, Yingtang Gao, Guiming Shu

“…Then a survey map of functional disorder in IPMN progression was established by functional enrichment analysis of these clusters. …”
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Advancing microfluidic point-of-care platelet function tests: opportunities and challenges from bench to market by Minki Kang, Christopher A. Bresette, David N. Ku

“…Platelets are critical for blood clotting, with shear-induced platelet aggregation (SIPA) playing a key role in hemostasis and the prevention of excessive bleeding. SIPA function potentially leads to life-threatening diseases such as hemorrhage and myocardial infarction, which are leading causes of death globally. …”
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Neuronal oscillations and functional connectivity of paced nostril breathing: A high-density EEG study. by Anita B Frohlich, Flavio Frohlich, Miriam Sklerov

“…Controlling nostril airflow through hand manipulations is an ancient yoga technique that has been suggested to provide targeted modulation of neuronal excitability and regulation of autonomic function, which is known to be lateralized in the brain. …”
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Polyunsaturated fatty acids in lipid membranes regulate human neuronal function and amyloid-β production by Satoshi Morita, Takayuki Kondo, Hisanori Tokuda, Yoshihisa Kaneda, Takayuki Izumo, Yoshihiro Nakao, Haruhisa Inoue

“…These findings demonstrate that the overall PUFA composition in the lipid membrane as well as the specific ratios of DHA and ARA within the total PUFAs regulate neuronal function and pathophysiology.…”
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The Neural Markers of Perceptual Uncertainty/Curiosity—A Functional Near-Infrared Spectroscopy Pilot Study by Adrian Korniluk, Barbara Gawda, Małgorzata Chojak, Anna Gawron

“…A total of 15 participants were tested with fNIRS (functional near-infrared spectroscopy) while viewing pairs of images designed to induce perceptual uncertainty. …”
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Modification to an Auxiliary Function Method for Solving Space-Fractional Stochastic Regularized Long-Wave Equation by Muneerah Al Nuwairan, Adel Elmandouh

“…We introduce a new systematic method that combines the auxiliary function method with the complete discriminant polynomial system. …”
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Azithromycin mitigates human rhinovirus impact on barrier integrity and function in non-diseased airway epithelium by Kevin Looi, Kevin Looi, Kevin Looi, Erika N. Sutanto, Erika N. Sutanto, Erika N. Sutanto, Thomas Iosifidis, Thomas Iosifidis, Thomas Iosifidis, Thomas Iosifidis, Luke J. Berry, Anthony Kicic, Anthony Kicic, Anthony Kicic, Anthony Kicic, Stephen M. Stick

“…Gene and protein expression of key epithelial junctions were significantly higher in treated, infected cells, which were concomitant with epithelial barrier function.DiscussionsThis study identified that AZM can protect against HRV-1b-induced epithelial damage. …”
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Monotonicity and limit results for certain symmetric matrix-valued functions with applications in singular Sturmian theory by Peter Šepitka, Roman Šimon Hilscher

“…In this paper we study the monotonicity and limit properties at infinity of certain symmetric matrix-valued functions arising in the singular Sturmian theory of canonical linear differential systems. …”
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Functional modularity of nuclear hormone receptors in a Caenorhabditis elegans metabolic gene regulatory network by H Efsun Arda, Stefan Taubert, Lesley T MacNeil, Colin C Conine, Ben Tsuda, Marc Van Gilst, Reynaldo Sequerra, Lynn Doucette‐Stamm, Keith R Yamamoto, Albertha J M Walhout

“…However, little is still known about the design principles, organization and functionality of GRNs that control physiological processes such as metabolism, homeostasis and responses to environmental cues. …”
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Genomic and functional co-diversification imprint African Hominidae microbiomes to signal dietary and lifestyle adaptations by Saria Otani, Marie Louise Jespersen, Christian Brinch, Frederik Duus Møller, Bo Pilgaard, Emilie Egholm Bruun Jensen, Pimlapas Leekitcharoenphon, Christina Aaby Svendsen, Amalie H. Aarestrup, Tolbert Sonda, Teresa J. Sylvina, Jeff Leach, Alexander Piel, Fiona Stewart, Panagiotis Sapountzis, Paul E. Kazyoba, Happiness Kumburu, Frank M. Aarestrup

“…Our findings indicate that microbiome-host co-adaptations have led to both taxonomic and within taxa functional displacements to meet host physiological demands. …”
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Forced vibration of an axially functionally graded energy pile embedded in temperature-sensitive Winkler soils by Zhuanzhuan Zhang, Zhao Lu, Zhao Lu

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Flexural-torsional stability of sandwich tapered I-beams with a functionally graded porous core by M. Soltani

“…All section walls are composed of two metal face layers and a functionally graded (FG) porous core. It is assumed that the material properties of the porous core vary gradually in the longitudinal direction according to the simple power-law function considering the even distribution of porosities. …”
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METHODS OF APPROXIMATION OF FUNCTIONS BY GENERALIZED POLYNOMIALS IN NUMERICAL ANALYSIS PROBLEMS RELATED TO CALCULATIONS ON APPROXIMATE DATA by Igor Eduardovich Naats, Victoria Igorevna Naats, Elena Pavlovna Yartseva

“…Introduction: the methods of representation of functions given approximately by their singular integrals in relation to approximation problems and numerical methods for solving boundary value problems for differential equations are Investigated. …”
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ELABORATION OF METHOD FOR GRADIENT AND ACTIVE CALCIUM RENAL REABSORBTION DEFINITION FOR FUNCTIONAL ESTIMATION OF TRANSPLANTED KIDNEY by I. P. Yermakova, V. P. Buzulina, I. E. Borodulin, I. A. Pronchenko, N. A. Tomilina

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Region Space Guided Transfer Function Design for Nonlinear Neural Network Augmented Image Visualization by Fei Yang, Xiangxu Meng, JiYing Lang, Weigang Lu, Lei Liu

“…The noise in the volume data is suppressed effectively and the boundary between materials can be differentiated clearly by the transfer function designed via the modified 2D histogram.…”
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Transcription Factor 4 loss-of-function is associated with deficits in progenitor proliferation and cortical neuron content by Fabio Papes, Antonio P. Camargo, Janaina S. de Souza, Vinicius M. A. Carvalho, Ryan A. Szeto, Erin LaMontagne, José R. Teixeira, Simoni H. Avansini, Sandra M. Sánchez-Sánchez, Thiago S. Nakahara, Carolina N. Santo, Wei Wu, Hang Yao, Barbara M. P. Araújo, Paulo E. N. F. Velho, Gabriel G. Haddad, Alysson R. Muotri

“…We show that neural progenitors bearing these mutations have reduced proliferation and impaired capacity to differentiate into neurons. We identify a mechanism through which TCF4 loss-of-function leads to decreased Wnt signaling and then to diminished expression of SOX genes, culminating in reduced progenitor proliferation in vitro. …”
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