Method and Mathematical Modeling of Formation of Gradually and Homogeneously Oriented Linear Polymers by Levan Nadareishvili, Roland Bakuradze, Jimsher Aneli, Manana Areshidze, Ineza Pavlenishvili, Liana Sharashidze, Giorgi Basilaia

“…The issues of creating functionally graded materials with a gradient of microstructure (gradient of degree of orientation/relative elongation) or chemical composition (volume fraction of functional fillers), respectively, based on thermoplastic polymer/copolymer or polymer composite (containing functional fillers) by method of uniaxial, zonal graded stretching are discussed.…”
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Minimax Results with Respect to Different Altitudes in the Situation of Linking by V. V. Motreanu

“…Consider a continuous function on a metric space. In the presence of linking between a compact pair and a closed set, depending on the different behaviors of the function on the linking sets, we establish minimax results guaranteeing existence of Palais-Smale sequences or providing gradient estimates. …”
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Influence of the purification of human adult pancreatic islets on insulin secretion by Nikolić Dragan M., Đorđević Predrag B., Dimitrijević-Srećković Vesna, Džingalašević Marina, Belij Sandra, Kalezić Nevena

“…The most effective method for human adult pancreatic islets purification is density-gradient centrifugation. The aim of this study was to analyze the effects of non-automated purification on preservation of functional capacity of human adult pancreatic islet cells. …”
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Quasi-Analytical Least-Squares Generative Adversarial Networks: Further 1-D Results and Extension to Two Data Dimensions by Graham W. Pulford

“…Visualisation strategies are given for the cost function and parameter trajectories during training. …”
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Viral surface geometry shapes influenza and coronavirus spike evolution through antibody pressure. by Assaf Amitai

“…In particular, we identified an antibody-targeting gradient, which matches a mutability gradient along the main axis of the spike. …”
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A robust multimodal brain MRI-based diagnostic model for migraine: validation across different migraine phases and longitudinal follow-up data by Jong Young Namgung, Eunchan Noh, Yurim Jang, Mi Ji Lee, Bo-yong Park

“…Morphological features, including cortical thickness, curvature, and sulcal depth, and functional connectivity features, such as low-dimensional representation of functional connectivity (gradient), degree centrality, and betweenness centrality, were utilized. …”
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What Is the Optimal Mitral Valve Repair for Isolated Posterior Leaflet Prolapse to Achieve Long‐Term Durability? by Takashi Kakuta, Satsuki Fukushima, Kimito Minami, Satoshi Kainuma, Naonori Kawamoto, Naoki Tadokoro, Ayumi Ikuta, Kohei Tonai, Yoshikatsu Saiki, Tomoyuki Fujita

“…Risk factors were analyzed for MR recurrence ≥grade 2 or functional mitral stenosis with mean transmitral pressure gradient ≥5 mm Hg using a multivariable Fine–Gray regression model. …”
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Bottle Beams in Nonlocally Defocusing Nonlinear Media by Yuanqiang Peng, Yunqi Li, Xiaolin Wu, Weiyi Hong

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Numerical Analysis of the Mud Inflow Model of Fractured Rock Mass Based on Particle Flow by Yongjian Pan, Huajun Wang, Yanlin Zhao, Qiang Liu, Shilin Luo

“…After the percolation velocity of particles reaches stability, the slope of the curve remains constant, and the primary function is used for fitting; the particle flow rate and pressure gradient are influenced by a variety of factors, and they approximately satisfy the exponential function of an “S” curve.…”
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Analysis the Spatial Dynamics of Aloe Vera Medicinal Plants in Climate Change condition. Case: Hormozgan Province by Shahrbanoo Ghanbari Adivi, Morteza Khodagholi, Amir Gandomkar

“…The multidimensional decision-making technique in the GIS environment was used using fuzzy gamma function for interruption and eventually identifying appropriate arenas for aloe vera plant. …”
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Influence of Road Pavement Macrotexture on Tyre/Road Noise of Vehicles by Wladyslaw Gardziejczyk

“…On this base the values of differences in the levels of emitted noise from passing heavy vehicle and passenger car in function of speed and surface macrotexture were computed. …”
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Bubbles clustered inside for almost-critical problems by Ayed Mohamed Ben, El Mehdi Khalil

“…Our results are proven through delicate asymptotic estimates of the gradient of the associated Euler-Lagrange functional.…”
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Low dose ribosomal DNA P-loop mutation affects development and enforces autophagy in Arabidopsis by Thiruvenkadam Shanmugam, Palak Chaturvedi, Deniz Streit, Arindam Ghatak, Thorsten Bergelt, Stefan Simm, Wolfram Weckwerth, Enrico Schleiff

“…The mutation led to allelic, dosage-dependent defects marked by lateral root inhibition, reduced size, and pointy leaves, all previously observed for defective ribosomal function. The mutation in NOR4 led to dosage compensation from the NOR2 copies by elevated expression of VAR1 in mutants and further associated single-nucleotide variants, thus, resulting in altered rRNA sub-population. …”
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Spin Seebeck in the weakly exchange-coupled Van der Waals antiferromagnet across the spin-flip transition by Xue He, Shilei Ding, Hans Gløckner Giil, Jicheng Wang, Mona Bhukta, Mingxing Wu, Wen Shi, Zhongchong Lin, Zhongyu Liang, Jinbo Yang, Mathias Kläui, Arne Brataas, Yanglong Hou, Rui Wu

“…Abstract Spin Seebeck effect refers to the creation of spin currents due to a temperature gradient in the magnetic materials or across magnet-normal metal interfaces, which can be electrically detected through the inverse spin Hall effect when in contact with heavy metals. …”
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Learning Multi-Attribute Differential Graphs With Non-Convex Penalties by Jitendra K. Tugnait

“…Two proximal gradient descent methods are presented to optimize the objective function. …”
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Analysis of Finite Elastoplastic Deformations. Kinematics and Constitutive Equations by L.U. Sultanov

“…As a result, a dependence of the stress tensor rate on the free energy function and the yield function is obtained.…”
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When surgery is not an option: case report of transcatheter valve-in-valve replacement for mitral valve dysfunction by Yakup Alsancak, Hasan Kan, Ahmet Seyfettin Gürbüz, Nergiz Aydın, Muhammed Fatih Kaleli

“…A 29 mm MyVal valve was successfully implanted via a transseptal approach, resulting in complete resolution of mitral regurgitation and a mean gradient of 3 mmHg post-procedure. The patient was discharged without complications and reported improved functional capacity (NYHA class 1) at follow-up. …”
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Exploring Factors Related to Social Isolation Among Older Adults in the Predementia Stage Using Ecological Momentary Assessments and Actigraphy: Machine Learning Approach by Bada Kang, Min Kyung Park, Jennifer Ivy Kim, Seolah Yoon, Seok-Jae Heo, Chaeeun Kang, SungHee Lee, Yeonkyu Choi, Dahye Hong

“…Social isolation—which includes limited social interaction and feelings of loneliness—negatively affects cognitive function and is a significant risk factor for dementia. …”
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Pattern formation of a predator-prey model with the cost of anti-predator behaviors by Xiaoying Wang, Xingfu Zou

“…Sufficient and necessary conditions of spatial pattern formation are obtained for various functional responses between prey and predators. By mathematical and numerical analyses, we find that small prey sensitivity to predation risk may lead to pattern formation if the Holling type Ⅱ functional response or the Beddington-DeAngelis functional response is adopted while large cost of anti-predator behaviors homogenises the system by excluding pattern formation. …”
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Chromosome segregation by the Escherichia coli Min system by Barbara Di Ventura, Benoît Knecht, Helena Andreas, William J Godinez, Miriam Fritsche, Karl Rohr, Walter Nickel, Dieter W Heermann, Victor Sourjik

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