A COMPUTATIONAL MODEL FOR A DIFFERENTIAL EQUATION WITH EMPIRICAL FUNCTIONS BASED ON THE INTEGRAL EQUATIONS FREDHOLM OF THE FIRST KIND by Igor Eduardovich Naats, Victoria Igorevna Naats, Roman Andreevich Ryskalenko

“…This uses a machine approximation of functions and their derivatives corresponding singular integrals and regularization method convergence of the sequence of approximate solutions, which implemented the so-called generalized inverse operators. …”
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Understanding the role of electrostatic force, van der Waals force, and osmotic pressure in retinal function and barrier integrity by Khayry Al-Shami, Jafar Shatnawi, Khaled Qasagsah, Salman Almurabi, Ghayda’ Shatnawi, Tasnim Darawsheh, Shahed Karaja

“…Abstract The retina’s intricate interplay of forces and structures, with a focus on the retinal pigment epithelium (RPE) and photoreceptors, is essential for retinal health and function. Among these forces, electrostatic forces play a crucial role, working alongside van der Waals forces and oncotic pressure to maintain the retina’s attachment to the RPE and ensure the integrity of the blood-retina barrier (BRB). …”
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The Role of Milk Oligosaccharides in Enhancing Intestinal Microbiota, Intestinal Integrity, and Immune Function in Pigs: A Comparative Review by Alexa Gormley, Yesid Garavito-Duarte, Sung Woo Kim

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Some Inequalities of Hermite–Hadamard Type for MT-h-Convex Functions via Classical and Generalized Fractional Integrals by Hengxiao Qi, Waqas Nazeer, Fatima Abbas, Wenbo Liao

“…The aim of this paper is to study MT-h-convex functions via fractional integral operators. We establish several Hermite–Hadamard-type inequalities for MT-h-convex function via classical and generalized fractional integrals. …”
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Beyond ovarian Morphology: Integrative stress profiling for distinguishing polycystic ovary syndrome from functional hypothalamic amenorrhea by Ana Vanessa Costa Rodrigues da Silva, Sérgio Reis Soares, Rui Filipe Oliveira Miguelote

“…Introduction: Polycystic Ovary Syndrome (PCOS) and Functional Hypothalamic Amenorrhea (FHA) are two prevalent causes of secondary oligo/amenorrhea (OA) in women. …”
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(p,h)-Convex Functions Associated with Hadamard and Fejér-Hadamard Inequalities via k-Fractional Integral Operators by Xiujun Zhang, Ghulam Farid, Ayşe Kübra Demirel, Chahn Yong Jung

“…To obtain the generalized versions of these inequalities, k-fractional integral operators including the well-known Mittag-Leffler function are utilized. …”
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Functional genomics of chitin degradation by Vibrio parahaemolyticus reveals finely integrated metabolic contributions to support environmental fitness. by Landon J Getz, Oriana S Robinson, Nikhil A Thomas

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An Effective Local Radial Basis Function Method for Solving the Delay Volterra Integral Equation of Nonvanishing and Vanishing Types by Neda Khaksari, Mahmoud Paripour, Nasrin Karamikabir

“…This paper presents a numerical method for solving a class of the delay Volterra integral equation of nonvanishing and vanishing types by applying the local radial basis function method. …”
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Ag@polydopamine-functionalized borate ester-linked chitosan hydrogel integrates monitoring with wound healing for epidermal sensor by Wei Shi, Hui Li, Chengsheng Xu, Gaoyi Wu, Jing Chen, Jinyong Zhang, Lixin Liang, Qingyang Wu, Yongsheng Liang, Guanglin Li, Wei Tang

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Restoring anatomical and functional integrity of human corneal endothelium after large Descemet’s membrane tear (clinical case) by S. V. Trufanov, S. A. Malozhen, E. A. Pivin

“…Complete resolution of corneal edema due to Descemet’s membrane tear that persisted for 4 months after complicated cataract surgery demonstrates the possibility to recover structural integrity and functions of corneal endothelium even in large Descemet’s membrane tears. …”
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Forebrain neural progenitors effectively integrate into host brain circuits and improve neural function after ischemic stroke by Xiao He, Jiadong Chen, Yan Zhong, Peili Cen, Li Shen, Fei Huang, Jing Wang, Chentao Jin, Rui Zhou, Xiaohui Zhang, Anxin Wang, Jing Fan, Shuang Wu, Mengjiao Tu, Xiyi Qin, Xiaoyun Luo, Yu Zhou, Jieqiao Peng, Youyou Zhou, A. Cahid Civelek, Mei Tian, Hong Zhang

“…However, commonly utilized human cortical neural progenitors are limited in yield a substantial proportion of diverse cortical neurons and require an extended period to achieve functional maturation and synaptic integration, thereby potentially diminishing the optimal therapeutic benefits of cell transplantation for cortical stroke. …”
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Integrating fragment-based screening with targeted protein degradation and genetic rescue to explore eIF4E function by Swee Y. Sharp, Marianna Martella, Sabrina D’Agostino, Christopher I. Milton, George Ward, Andrew J. Woodhead, Caroline J. Richardson, Maria G. Carr, Elisabetta Chiarparin, Benjamin D. Cons, Joseph Coyle, Charlotte E. East, Steven D. Hiscock, Carlos Martinez-Fleites, Paul N. Mortenson, Nick Palmer, Puja Pathuri, Marissa V. Powers, Susanne M. Saalau, Jeffrey D. St. Denis, Kate Swabey, Mladen Vinković, Hugh Walton, Glyn Williams, Paul A. Clarke

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Integrative functional genomics of hepatitis C virus infection identifies host dependencies in complete viral replication cycle. by Qisheng Li, Yong-Yuan Zhang, Stephan Chiu, Zongyi Hu, Keng-Hsin Lan, Helen Cha, Catherine Sodroski, Fang Zhang, Ching-Sheng Hsu, Emmanuel Thomas, T Jake Liang

“…Recent functional genomics studies including genome-wide small interfering RNA (siRNA) screens demonstrated that hepatitis C virus (HCV) exploits an extensive network of host factors for productive infection and propagation. …”
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Numerical solution of fredholm fuzzy integral equations of the second kind via direct method using triangular functions by F. Mirzaee, M. Paripour, M. Komak Yari

Subjects: “…two m-sets of triangular functions…”
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Optimization of Lactic Fermented Beverages: Integrating Trametes Versicolor Mycelium and Pleurotus ostreatus Extract for Enhanced Functional Properties by Nguyen Thi-Bich Hang, Vo Van Minh, Tanaka Munehiro, Bui Duc Thang, Nguyen-Sy Toan, Dang Minh Nhat, Chi Cuong-Doan

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An integrative model of perseverative thinking by Lorenzo Mattioni, Ana V. Nikčević, Francesca Ferri, Marcantonio M. Spada, Carlo Sestieri

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Ameliorating Performance of UAE Projects by Technological Collaboration of Construction Entities by Wajeeha Hasnain, Urooj Pasha

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The content and internal control functions in order to create internal control systems of insurance companies by N. .. Zhuravleva, N. .. Kuzovleva

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An Algorithm for Restoring a Function from Different Functionals for Predicting Rare Events in the Economy by Yu. A. Korablev

“…The article considers the mathematical method for recovering an unknown function from many different functionals, such as the value of a function, the value of its first derivative, second derivative, as well as a definite integral over a certain interval. …”
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Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind by Mao, Zhong-Xuan, Tian, Jing-Feng

“…In this paper, we introduce some monotonicity rules for the ratio of integrals. Furthermore, we demonstrate that the function $-T_{\nu ,\alpha ,\beta }(s)$ is completely monotonic in $s$ and absolutely monotonic in $\nu $ if and only if $\beta \ge 1$, where $T_{\nu ,\alpha ,\beta }(s)=K_{\nu }^2(s)-\beta K_{\nu -\alpha }(s)K_{\nu +\alpha }(s)$ defined on $s>0$ and $K_{\nu }(s)$ is the modified Bessel function of the second kind of order $\nu $. …”
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