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1

Bhayo, B. A., L. Xie, and S. Yildiz Yar. "ON FUNCTIONAL INEQUALITIES FORTHE PSI FUNCTION." Issues of Analysis 32, no. 2 (2025): 53–65. https://doi.org/10.15393/j3.art.2025.17250.

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Rathod, Ashok. "Characteristic function and deficiency of algebroid functions on annuli." Ufimskii Matematicheskii Zhurnal 11, no. 1 (2019): 121–32. http://dx.doi.org/10.13108/2019-11-1-121.

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FERNANDES, CLAUDIO, OLEKSIY KARLOVYCH, and M. ARCIO VALENTE. "ON THE DENSITY OF LAGUERRE FUNCTIONS IN SOME BANACH FUNCTION SPACES." Journal of Inequalities and Special Functions 13, no. 2 (2022): 37–45. http://dx.doi.org/10.54379/jiasf-2022-2-4.

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Let λ > 0 and Φλ := {ϕ1,λ, ϕ2,λ, . . . } be the system of dilated Laguerre functions. We show that if L1 (R+) ∩ L∞(R+) is embedded into a separable Banach function space X(R+), then the linear span of Φλ is dense in X(R+). This implies that the linear span of Φλ is dense in every separable rearrangement-invariant space X(R+) and in every separable variable Lebesgue space Lp(·) (R+)
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4

Smer Eker, S., B. �eker, and S. Ece. "On Normalized Rabotnov Function Associated with Certain Subclasses of Analytic Functions." Issues of Analysis 30, no. 2 (2023): 97–106. http://dx.doi.org/10.15393/j3.art.2023.12490.

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5

Carpintero, C., E. Rosas, M. Sallas-Brown, and L. Vasquez. "A unified theory of weakly g-closed sets and weakly g-continuous functions." Sarajevo Journal of Mathematics 9, no. 2 (2013): 303–15. http://dx.doi.org/10.5644/sjm.09.2.14.

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Olatunji, S.O. "Sigmoid Function in the Space of Univalent lambda -Pseudo Starlike Function with Sakaguchi Type Functions." Journal of Progressive Research in Mathematics 7, no. 4 (2016): 1164–72. https://doi.org/10.5281/zenodo.3977286.

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In this work, the sigmoid function in the space of univalent lambda - peseudo starlike function with Sakaguchi type functions are investigated. The first few coefficient bounds for the class  (s,t,) / were obtained. Also, the relevant connections to Fekete-Szego theorem for this class were briefly discussed. Our results serves as a new generalization in this direction and it gives birth some existing subclasses of functions.
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Zhunussova, B. A., Zh M. Baimurynov та L. M. Kuleimenova. "Бірлән шылауының қазіргі сипаты мен қызметі". Bulletin of the L.N. Gumilyov Eurasian National University. Philology series 151, № 2 (2025): 62–77. https://doi.org/10.32523/2616-678x-2025-151-2-62-77.

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It is known that the functional word “and” is formed from the ancient Turkic particle “birlan” and is differentiated by grammatical function and meaning as a conjunction and ending. However, it is known that modern variants of the particle “birlan”, common to the Turkic peoples, have not received unambiguous recognition in the grammar of the Turkic languages. There are specific reasons for this. The article attempts to compile a systematic description of the functional words that arose from the particle “birlan”. For this purpose, the etymological works of domestic and Soviet Turkologists and
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8

Daujanov, Ainazar Shinnazarovich, Aysanem Kuanishbaevna Turganbaeva, Muxtorbek Raximboyev, and Aynura Xiyasova. "LINEAR CHANGE OF VARIABLES AND ON SIMPLIFICATION OF EXPRESSIONS IN THE SPACE OF GENERALIZED FUNCTIONS." EURASIAN JOURNAL OF ACADEMIC RESEARCH 1, no. 1 (2021): 971–76. https://doi.org/10.5281/zenodo.4742240.

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<em>The rigorous mathematical theory of generalized functions contains the definition of a set of basic functions, the definition of a continuous functional, rules for performing limit transitions, delta-like sequences, etc. Special literature is devoted to these questions, in which one can find formulations and proofs of the corresponding theorems (see, for example, the book by V.S. Vladimirov &quot;Generalized functions in mathematical physics&quot;, I.M. Gelfand and G.E.Shilov &quot;Generalized functions and actions on them &quot;, MS Agranovich&quot; Generalized functions and Sobolev space
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9

Sharma, Manju. "Evaluation of General Class of Beta Integrals Involving Certain Particular Functions." Innovation The Research Concept 9, no. 1 (2024): E1—E7. https://doi.org/10.5281/zenodo.10673412.

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This paper has been published in Peer-reviewed International Journal "Innovation The Research Concept"&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; URL : https://www.socialresearchfoundation.com/new/publish-journal.php?editID=8200 Publisher : Social Research Foundation, Kanpur (SRF International)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Abstract : In this paper general class of Beta integrals is considered for particular function&nbsp;. This class is further used to evaluate certain integrals for some special functio
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10

Ng, Ka-Lok, Jin-Shuei Ciou, and Chien-Hung Huang. "Prediction of protein functions based on function–function correlation relations." Computers in Biology and Medicine 40, no. 3 (2010): 300–305. http://dx.doi.org/10.1016/j.compbiomed.2010.01.001.

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11

Johansson, Ingvar. "Functions, Function Concepts, and Scales." Monist 87, no. 1 (2004): 96–114. http://dx.doi.org/10.5840/monist20048718.

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12

Rhodes, Sam, and Jessica Duggan. "Cryptic Functions: Understanding Function Identification." Mathematics Teacher 112, no. 2 (2018): 108–13. http://dx.doi.org/10.5951/mathteacher.112.2.0108.

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13

Abi-Khuzam, Faruk F. "Meromorphic functions with harmonic ∗-function." Complex Variables, Theory and Application: An International Journal 12, no. 1-4 (1989): 261–65. http://dx.doi.org/10.1080/17476938908814370.

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14

Balasubramanian, R., S. Kanemitsu, and K. Ramachandra. "On ideal-function-like functions." Journal of Computational and Applied Mathematics 160, no. 1-2 (2003): 27–36. http://dx.doi.org/10.1016/s0377-0427(03)00611-3.

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15

Thakur, D. S. "Hypergeometric Functions for Function Fields." Finite Fields and Their Applications 1, no. 2 (1995): 219–31. http://dx.doi.org/10.1006/ffta.1995.1017.

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16

Bllaca, Kajtaz H., Jawher Khmiri, Kamel Mazhouda, and Bouchaïb Sodaïgui. "Superzeta functions on function fields." Finite Fields and Their Applications 95 (March 2024): 102367. http://dx.doi.org/10.1016/j.ffa.2024.102367.

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17

Chii-Huei, Yu. "Study of a Fractional Function Equation." International Journal of Novel Research in Physics Chemistry & Mathematics 10, no. 1 (2023): 6–9. https://doi.org/10.5281/zenodo.7579058.

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<strong>Abstract:</strong> In this paper, based on a new multiplication of fractional analytic functions, we study a fractional function equation. Using some methods, we can obtain the solution of this fractional function equation. In fact, the solution is a generalization of the result in traditional function equation.&nbsp;&nbsp;&nbsp;&nbsp; <strong>Keywords:</strong> New multiplication, Fractional analytic functions, Fractional function equation. <strong>Title:</strong> Study of a Fractional Function Equation <strong>Author:</strong> Chii-Huei Yu <strong>International Journal of Novel Resea
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18

Mario, Baldi, and Sapio Amedeo. "Network Function Modeling and Performance Estimation." International Journal of Electrical and Computer Engineering (IJECE) 8, no. 5 (2018): 3021–37. https://doi.org/10.11591/ijece.v8i5.pp3021-3037.

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This work introduces a methodology for the modelization of network functions focused on the identification of recurring execution patterns as basic building blocks and aimed at providing a platform independent representation. By mapping each modeling building block on specific hardware, the performance of the network function can be estimated in terms of maximum throughput that the network function can achieve on the specific execution platform. The approach is such that once the basic modeling building blocks have been mapped, the estimate can be computed automatically for any modeled network
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19

Kroes, Peter. "Theories of Technical Functions: Function Ascriptions Versus Function Assignments, Part 1." Design Issues 26, no. 3 (2010): 62–69. http://dx.doi.org/10.1162/desi_a_00030.

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20

Kroes, Peter. "Theories of Technical Functions: Function Ascriptions vs. Function Assignments, Part 2." Design Issues 26, no. 4 (2010): 85–93. http://dx.doi.org/10.1162/desi_a_00046.

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21

Rubinstein, Michael O. "Identities for the Hurwitz zeta function, Gamma function, and L-functions." Ramanujan Journal 32, no. 3 (2013): 421–64. http://dx.doi.org/10.1007/s11139-013-9468-0.

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22

RC, Dorca. "Density Function Thermal Scaling and Physical Significance of Shape Functions." Physical Science & Biophysics Journal 1, no. 1 (2017). http://dx.doi.org/10.23880/psbj-16000102.

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23

"A Study of Function Spaces through a Functor." International Journal of Science and Research (IJSR) 5, no. 6 (2016): 574–77. http://dx.doi.org/10.21275/v5i6.nov164078.

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24

"Fixed Coefficients for Certain Subclass of Univalent Functions using Hypergeometric Function." International Journal of Science and Research (IJSR) 5, no. 5 (2015): 1072–78. http://dx.doi.org/10.21275/v5i5.11051602.

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25

Hu, Nengfa. "A Genetic Algorithm for Solving Multimodal Functions Based on Neighborhood Penalty Function." Scholars Journal of Engineering and Technology 4, no. 6 (2016). http://dx.doi.org/10.21276/sjet.2016.4.6.4.

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26

Koch, Lauren Gerard, and Steven L. Britton. "Biology: Motion is Function." Function, June 14, 2022. http://dx.doi.org/10.1093/function/zqac030.

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Abstract 1. In 1966 Francis Crick declared that: “The ultimate aim of the modern movement in biology is to explain all biology in terms of physics and chemistry.” This motivated us to contemplate approaches that unify biology at a fundamental level. Exploration led us to consider the features of energy, entropy, and motion. Overall, it can be considered that motion of matter is the feature of life function. No motion. No function. 2. In initial work we evaluated the hypothesis that the scope for biologic function is mediated mechanistically by a differential for energy transfer. Maximal treadm
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27

Petersen, Ole H. "FUNCTION is now functional." Function 1, no. 1 (2020). http://dx.doi.org/10.1093/function/zqaa001.

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28

Daujanov, Aynazar, and Mukhtorbek Rakhimboev. "ON LINEAR SUBSTITUTION OF VARIABLES AND ON SIMPLIFICATION OF EXPRESSIONS IN THE SPACE OF GENERALIZED FUNCTIONS." April 11, 2023. https://doi.org/10.5281/zenodo.7818429.

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The rigorous mathematical theory of generalized functions contains the definition of a set of basic functions, the definition of continuous functional, rules for performing limit transitions, delta-like sequences, etc. Special literature is devoted to these questions, in which one can find formulations and proofs of the corresponding theorems (see, for example, the book by V.S.Vladimirov &ldquo;Generalized functions in mathematical physics&rdquo;, I.M.Gelfand and G.E.Shilov &ldquo;Generalized functions and actions on them&rdquo;, M.S.Agranovich &ldquo;Generalized functions and Sobolev spaces&r
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29

Molina, Patricia E. "Thinking through FUNCTION during COVID-19." Function 1, no. 2 (2020). http://dx.doi.org/10.1093/function/zqaa019.

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30

V., D. Pavlović, and Lutovac Maja. "New Class Of Camshaft Transfer Functions With Improved Characteristics." September 22, 2011. https://doi.org/10.5281/zenodo.8362161.

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Abstract. The design of camshaft transfer functions is straightforward and explained in many scientific papers. Modern systems require a new design procedure in order to minimize unwanted movements and to reduce the power consumption. This paper presents a new class of transfer functions that reduces maximal deviations and increases number of cycles. The results are based on combined symbolic-numeric optimization.&nbsp;
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31

Brown, Dennis. "Aquaporin Function: Seek and You Shall Find!" Function 2, no. 1 (2020). http://dx.doi.org/10.1093/function/zqaa041.

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32

Shyng, Show-Ling. "KATP Channel Function: More than Meets the Eye." Function 3, no. 1 (2022). http://dx.doi.org/10.1093/function/zqab070.

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Kroemer, Guido, and Alexei Verkhratsky. "Mitochondrial Localization and Function of the Purinergic Receptor P2X7." Function 2, no. 2 (2021). http://dx.doi.org/10.1093/function/zqab006.

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Petersen, Ole H. "FUNCTION Is One Year Old: How Did We Do?" Function 2, no. 3 (2021). http://dx.doi.org/10.1093/function/zqab023.

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35

Noble, Denis. "Function Forms from the Symmetry Between Order and Disorder." Function 2, no. 1 (2020). http://dx.doi.org/10.1093/function/zqaa037.

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36

Harraz, Osama F. "Endothelial cell metabolism and vascular function: A paradigm shift?" Function, January 6, 2023. http://dx.doi.org/10.1093/function/zqad002.

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37

"Bifurcation of a Prey-predator System with Holling Type-III Functional Response Function." International Journal of Science and Research (IJSR) 5, no. 3 (2016): 1181–83. http://dx.doi.org/10.21275/v5i3.nov162131.

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38

Fitzgerald, Liam S., Shannon N. Bremner, Samuel R. Ward, Yoshitake Cho, and Simon Schenk. "Intrinsic Skeletal Muscle Function and Contraction-stimulated Glucose Uptake Do Not Vary by Time-of-day in Mice." Function, August 12, 2024. http://dx.doi.org/10.1093/function/zqae035.

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Abstract A growing body of data suggests that skeletal muscle contractile function and glucose metabolism vary by time-of-day, with chronobiological effects on intrinsic skeletal muscle properties being proposed as the underlying mediator. However, no studies have directly investigated intrinsic contractile function or glucose metabolism in skeletal muscle over a 24 h circadian cycle. To address this, we assessed intrinsic contractile function and endurance, as well as contraction-stimulated glucose uptake, in isolated extensor digitorum longus and soleus from mice at four times-of-day (zeitge
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39

Pollock, David M. "Physiology Brings Relevance to Biological Research: A Vision for Function." Function, May 6, 2024. http://dx.doi.org/10.1093/function/zqae023.

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40

Colinas, Olalla, Peter Mombaerts, José López-Barneo, and Patricia Ortega-Sáenz. "Carotid Body Function in Tyrosine Hydroxylase Conditional Olfr78 Knockout Mice." Function, February 22, 2024. http://dx.doi.org/10.1093/function/zqae010.

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Abstract The Olfr78 gene encodes a G-protein coupled receptor that is expressed in olfactory sensory neurons, where it functions as a conventional odorant receptor, and also in several ectopic sites, where its function is not well understood. Olfr78 is one of the most highly expressed mRNA species in glomus cells of the carotid body (CB). These cells are the prototypical oxygen (O2) sensitive arterial chemoreceptors, which, in response to lowered O2 tension (hypoxia), activate the respiratory centers to induce hyperventilation. It has been proposed that Olfr78 is a lactate receptor and that gl
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41

Irgasheva, Sh. "PRAGMATIC FUNCTIONS OF NEOLOGISMS IN INTERNET DISCOURSE." International independent scientific journal 73 (May 6, 2025). https://doi.org/10.5281/zenodo.15375469.

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<strong><em>Abstract</em></strong> <em>This article studies the pragmatic functions of neologisms in Internet discourse and classifies them according to their communicative roles. Through a qualitative analysis of digital linguistics, their context-dependence and linguistic flexibility are emphasized. We have examined how Internet neologisms fulfill nominative, expressive, referential, social, economic, and technical functions in modern communication. It is concluded that neologisms reflect the linguistic trends and cultural changes of digital communication and will remain an important topic f
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42

Assmus, Adrienne, Linda Mullins, Mairi Ward, et al. "Loss of Adam10 Disrupts Ion Transport in Immortalized Kidney Collecting Duct Cells." Function 2, no. 4 (2021). http://dx.doi.org/10.1093/function/zqab024.

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Abstract The kidney cortical collecting duct (CCD) comprises principal cells (PCs), intercalated cells (IC), and the recently discovered intermediate cell type. Kidney pathology in a mouse model of the syndrome of apparent aldosterone excess revealed plasticity of the CCD, with altered PC:intermediate cell:IC ratio. The self-immortalized mouse CCD cell line, mCCDcl1, shows functional characteristics of PCs, but displays a range of cell types, including intermediate cells, making it ideal to study plasticity. We knocked out Adam10, a key component of the Notch pathway, in mCCDcl1 cells, using C
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43

Abbott, Claire B., Marcus M. Lawrence, Kamil A. Kobak, et al. "A Novel Stable Isotope Approach Demonstrates Surprising Degree of Age-Related Decline in Skeletal Muscle Collagen Proteostasis." Function 2, no. 4 (2021). http://dx.doi.org/10.1093/function/zqab028.

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Abstract Age-related deterioration in turnover of collagen proteins accelerates extracellular matrix fibrosis and hinders adaptation to external stimuli. This project sought to understand factors that increase skeletal muscle fibrosis with age by studying what we term the dynamic protein pool. We hypothesized that the dynamic protein pool size of muscle collagen decreases with age, thus indicating a decrease in proteostatic maintenance (ie, ability to maintain proteostasis), and that failure to account for these changes impacts the interpretation of tracer-measured synthesis rates. We used deu
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44

Rizki-Safitri, Astia, Tamara Traitteur, and Ryuji Morizane. "Bioengineered Kidney Models: Methods and Functional Assessments." Function 2, no. 4 (2021). http://dx.doi.org/10.1093/function/zqab026.

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Abstract Investigations into bioengineering kidneys have been extensively conducted owing to their potential for preclinical assays and regenerative medicine. Various approaches and methods have been developed to improve the structure and function of bioengineered kidneys. Assessments of functional properties confirm the adequacy of bioengineered kidneys for multipurpose translational applications. This review is to summarize the studies performed in kidney bioengineering in the past decade. We identified 84 original articles from PubMed and Mendeley with keywords of kidney organoid or kidney
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45

Xia, Maosheng, Shanshan Liang, Shuai Li, et al. "Iatrogenic Iron Promotes Neurodegeneration and Activates Self-Protection of Neural Cells against Exogenous Iron Attacks." Function 2, no. 2 (2021). http://dx.doi.org/10.1093/function/zqab003.

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Abstract Metal implants are used worldwide, with millions of nails, plates, and fixtures grafted during orthopedic surgeries. Iron is the most common element of these metal implants. As time passes, implants can be corroded and iron can be released. Ionized iron permeates the surrounding tissues and enters circulation; importantly, iron ions pass through the blood–brain barrier. Can iron from implants represent a risk factor for neurological diseases? This remains an unanswered question. In this study, we discovered that patients with metal implants delivered through orthopedic surgeries have
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46

Von Schulze, Alex T., Fengyan Deng, Kelly N. Z. Fuller, et al. "Heat Treatment Improves Hepatic Mitochondrial Respiratory Efficiency via Mitochondrial Remodeling." Function 2, no. 2 (2021). http://dx.doi.org/10.1093/function/zqab001.

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Abstract Nonacholic fatty liver disease, or hepatic steatosis, is the most common liver disorder affecting the western world and currently has no pharmacologic cure. Thus, many investigations have focused on alternative strategies to treat or prevent hepatic steatosis. Our laboratory has shown that chronic heat treatment (HT) mitigates glucose intolerance, insulin resistance, and hepatic steatosis in rodent models of obesity. Here, we investigate the direct bioenergetic mechanism(s) surrounding the metabolic effects of HT on hepatic mitochondria. Utilizing mitochondrial proteomics and respirat
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47

Sarti, Alba Clara, Valentina Vultaggio-Poma, Simonetta Falzoni, et al. "Mitochondrial P2X7 Receptor Localization Modulates Energy Metabolism Enhancing Physical Performance." Function 2, no. 2 (2021). http://dx.doi.org/10.1093/function/zqab005.

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Abstract Basal expression of the P2X7 receptor (P2X7R) improves mitochondrial metabolism, Adenosine 5′-triphosphate (ATP) synthesis, and overall fitness of immune and non-immune cells. We investigated P2X7R contribution to energy metabolism and subcellular localization in fibroblasts (mouse embryo fibroblasts and HEK293 human fibroblasts), mouse microglia (primary brain microglia, and the N13 microglia cell line), and heart tissue. The P2X7R localizes to mitochondria, and its lack (1) decreases basal respiratory rate, ATP-coupled respiration, maximal uncoupled respiration, resting mitochondria
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48

Gaspers, Lawrence D., Andrew P. Thomas, Jan B. Hoek, and Paula J. Bartlett. "Ethanol Disrupts Hormone-Induced Calcium Signaling in Liver." Function 2, no. 2 (2021). http://dx.doi.org/10.1093/function/zqab002.

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Abstract Receptor-coupled phospholipase C (PLC) is an important target for the actions of ethanol. In the ex vivo perfused rat liver, concentrations of ethanol &amp;gt;100 mM were required to induce a rise in cytosolic calcium (Ca2+) suggesting that these responses may only occur after binge ethanol consumption. Conversely, pharmacologically achievable concentrations of ethanol (≤30 mM) decreased the frequency and magnitude of hormone-stimulated cytosolic and nuclear Ca2+ oscillations and the parallel translocation of protein kinase C-β to the membrane. Ethanol also inhibited gap junction comm
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49

Parekh, Anant B. "Opening New Terrain in Intracellular Ca2+ Signaling." Function 2, no. 3 (2021). http://dx.doi.org/10.1093/function/zqab016.

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50

Riedl, Ruth A., Colin M. L. Burnett, Nicole A. Pearson, et al. "Gut Microbiota Represent a Major Thermogenic Biomass." Function 2, no. 3 (2021). http://dx.doi.org/10.1093/function/zqab019.

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Abstract Evidence supports various roles for microbial metabolites in the control of multiple aspects of host energy flux including feeding behaviors, digestive efficiency, and energy expenditure, but few studies have quantified the energy utilization of the biomass of the gut microbiota itself. Because gut microbiota exist in an anoxic environment, energy flux is expected to be anaerobic; unfortunately, commonly utilized O2/CO2 respirometry-based approaches are unable to detect anaerobic energy flux. To quantify the contribution of the gut microbial biomass to whole-animal energy flux, we exa
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