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The Gierer-Meinhardt system in the entire space with non-local proliferation rates

Journal of Differential Equations 2025年 444卷

作者： Marius Ghergu Nikos I. Kavallaris Yasuhito Miyamoto School of Mathematics and Statistics University College Dublin Belfield Campus Dublin 4 Ireland Institute of Mathematics Simion Stoilow of the Romanian Academy 21 Calea Grivitei St. 010702 Bucharest Romania Karlstad University Faculty of Health Science and Technology Department of Mathematics and Computer Science Sweden Graduate School of Mathematical Sciences The University of Tokyo 3-8-1 Komaba Meguro-ku Tokyo 153-8914 Japan

In this work, we present a novel stationary Gierer-Meinhardt system incorporating non-local proliferation rates, defined as follows: { − Δ u + λ u = J ⁎ u p v q + ρ ( x ) in R N , N ≥ 1 , − Δ v + μ v = J ⁎ u m v s in R N . This system emerges in various contexts, such as biological morphogenesis, where two interacting chemicals, identified as an activator and an inhibitor, are described, and in ecological systems modeling the interaction between two species, classified as specialists and generalists. The non-local interspecies interactions are represented by the terms J ⁎ u p , J ⁎ u m where the ⁎-symbol denotes the convolution operation in R N with a kernel J ∈ C 1 ( R N ∖ { 0 } ) . In the system, we assume that 0 < ρ ∈ C 0 , γ ( R N ) with γ ∈ ( 0 , 1 ) , while the parameters satisfy λ , μ , q , m , s > 0 and p > 1 . Under various integrability conditions on the kernel J , we establish the existence and non-existence of classical positive solutions in the function space C l o c 2 , δ ( R N ) . These results further highlight the influence of the non-local terms, particularly the proliferation rates, in the proposed model.

关键词： 35J47 35B53 35C15 35B45 Gierer-Meinhardt system Steady state solutions Non-local interactions Existence and non-existence of classical solutions

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Reply to “Comment on ‘Scattering Cancellation-Based Cloaking for the Maxwell-Cattaneo Heat Waves’”

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Physical Review Applied 2021年第5期15卷 058002-058002页

作者： M. Farhat S. Guenneau P.-Y. Chen A. Alù K.N. Salama Computer Electrical and Mathematical Science and Engineering (CEMSE) Division King Abdullah University of Science and Technology (KAUST) Thuwal 23955-6900 Saudi Arabia UMI 2004 Abraham de Moivre-CNRS Imperial College London London SW7 2AZ United Kingdom Department of Electrical and Computer Engineering University of Illinois at Chicago Chicago Illinois 60607 USA Photonics Initiative Advanced Science Research Center City University of New York New York New York 10031 USA Physics Program Graduate Center City University of New York New York New York 10016 USA

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MiR34 contributes to spinal muscular atrophy and AAV9-mediated delivery of MiR34a ameliorates the motor deficits in SMA mice

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Molecular therapy. Nucleic acids 2023年 32卷 144-160页

作者： Tai-Heng Chen Shih-Hsin Chang Yu-Fu Wu Ya-Ping Yen Fang-Yu Hsu Yen-Chung Chen Yang Ming Ho-Chiang Hsu Yi-Ching Su Sheng-Tang Wong Jui-Hung Hung Shih-Hwa Chiou Yuh-Jyh Jong Jun-An Chen PhD Program in Translational Medicine Kaohsiung Medical University Kaohsiung 80708 and Academia Sinica Taipei 11529 Taiwan. Institute of Molecular Biology Academia Sinica Taipei 11529 Taiwan. Department of Pediatrics Kaohsiung Medical University Kaohsiung 80708 Taiwan. School of Post-Baccalaureate Medicine Kaohsiung Medical University Kaohsiung 80708 Taiwan. Neuroscience Program of Academia Sinica Academia Sinica Taipei 11529 Taiwan. Department of Computer Science National Yang Ming Chiao Tung University Hsinchu 30093 Taiwan. Institute of Pharmacology School of Medicine National Yang Ming Chiao Tung University Taipei 11221 Taiwan. Innovative Cellular Therapy Center Department of Medical Research Taipei Veterans General Hospital Taipei 11217 Taiwan. Department of Laboratory Medicine Kaohsiung Medical University Kaohsiung 80708 Taiwan. Translational Research Center of Neuromuscular Diseases Kaohsiung Medical University Hospital Kaohsiung Medical University Kaohsiung 80708 Taiwan. Graduate Institute of Clinical Medicine College of Medicine Kaohsiung Medical University Kaohsiung 80708 Taiwan. Drug Development and Value Creation Research Center Kaohsiung Medical University Kaohsiung 80708 Taiwan. Department of Biological Science and Technology National Yang Ming Chiao Tung University Hsinchu 30093 Taiwan.

Spinal muscular atrophy (SMA) is a neurodegenerative disease characterized by the selective loss of spinal motor neurons (MNs) and concomitant muscle weakness. Mutation of is known to cause SMA, and restoring SMN protein levels via antisense oligonucleotide treatment is effective for ameliorating symptoms. However, this approach is hindered by exorbitant costs, invasive procedures, and poor treatment responses of some patients. Here, we seek to circumvent these hurdles by identifying reliable biomarkers that could predict treatment efficacy. We uncovered that MiR34 exhibits consistent downregulation during SMA progression in both human and rodent contexts. Importantly, family-knockout mice display axon swelling and reduced neuromuscular junction (NMJ) endplates, recapitulating SMA pathology. Introducing MiR34a via scAAV9 improved the motor ability of SMNΔ7 mice, possibly by restoring NMJ endplate size. Finally, we observed a consistent decreasing trend in MiR34 family expression in the cerebrospinal fluid (CSF) of type I SMA patients during the loading phase of nusinersen treatment. Baseline CSF MiR34 levels before nusinersen injection proved predictive of patient motor skills 1 year later. Thus, we propose that MiR34 may serve as a biomarker of SMA since it is associated with the pathology and can help evaluate the therapeutic effects of nusinersen.

关键词： ASO MT: Non-coding RNAs MiR34 SMA biomarker microRNA nusinersen spinal muscular atrophy

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Development of Artificial Intelligence-Based Model for Prediction of the Compressive Strength of Self-Compacting Concrete

SSRN

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SSRN 2021年

作者： Ly, Hai-Bang Pham, Binh Thai Nguyen, Thuy-Anh Nguyen, May Huu Civil Engineering Department University of Transport Technology 54 Trieu Khuc Thanh Xuan Hanoi100000 Viet Nam Civil and Environmental Engineering Program Graduate School of Advanced Science and Engineering Hiroshima University 1-4-1 Kagamiyama Higashi-Hiroshima Hiroshima739-8527 Japan

This study investigated the usability of an artificial neural network model (ANN) and the Grey Wolf Optimizer (GWO) method for predicting the compressive strength of self-compacting concrete (SCC). The ANN-GWO model was developed using an experimental database of 115 samples obtained from various sources considering nine key factors of SCC. The validation of the proposed model was evaluated via six indices including correlation coefficient, mean squared error, mean absolute error, IA, Slope, and mean absolute percentage error. In addition, the importance of each parameter affecting the compressive strength of SCC was investigated utilizing partial dependence plots. The findings demonstrated that the proposed ANN-GWO model is a reliable predictor of SCC compressive strength. Following that, an examination of the parameters impacting the compressive strength of SCC was provided. © 2021, The Authors. All rights reserved.

关键词： Compressive strength

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Mobile application to track people in covid19 monitoring and patients under covid19 supervision

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IOP Conference Series: Earth and Environmental science 2021年第1期729卷

作者： A Chrysler H L H S Warnars W H Utomo Computer Science Department School of Computer Science Bina Nusantara University Jakarta Indonesia 11480 Computer Science Department BINUS Graduate Program – Doctor of Computer Science Bina Nusantara University Jakarta Indonesia 11480 Department of Magister Science of Information Technology Faculty of Computing President University Bekasi Indonesia 17550

It is crucial for the community including the government and health workers to collaborate to halt the spread of Covid-19. The idea of developing the mobile application surfaced from the previous findings. Previous researches have implemented and developed different features to better the application. The development of a mobile application to provide a platform that will assist people with information regarding patients that are around the perimeter of users to help notify them. With the help of the notification, users will be able to avoid the chances of them being in contact with the people (ODP), patients that are under surveillance (PDP) confirmed patients. All patients including ODP and PDP are required to have the application therefore, the Minister of Health will be able to track the geolocation of patients. Moreover, people will be able to be aware of patients that are around their perimeter. Therefore, with the help of the application, it will be able to help assist the community for them to be aware of and to be able to avoid being in contact with the infected patients.

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Temporal coherence of mechanical stimulation modulates tactile form perception

Research Square

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Research Square 2020年

作者： Nakatani, Masashi Kobayashi, Yasuaki Ohno, Kota Uesaka, Masaaki Mogami, Sayako Zhao, Zixia Sushida, Takamichi Kitahata, Hiroyuki Nagayama, Masaharu Faculty of Environment and Information Studies Keio University Japan Research Institute for Electronic Science Hokkaido University Japan Graduate School of Mathematical Sciences The University of Tokyo Japan Faculty of Policy and Management Keio University Japan Department of Computer Science and Technology Salesian Polytechnic Japan Graduate School of Science Chiba University Japan

The human hand can detect both form and texture information of a contact surface. The detection of skin displacement (sustained stimulus) and changes in skin displacement (transient stimulus) are thought to be mediated in different tactile channels;however, tactile form perception may use both types of information. Here, we studied whether both the temporal frequency and the temporal coherency information of tactile stimuli encoded in sensory neurons could be used to recognize the form of contact surfaces. We used the fishbone tactile illusion (FTI), a known tactile phenomenon, as a probe for tactile form perception in humans. This illusion typically occurs with a surface geometry that has a smooth bar and coarse textures in its adjacent areas. When stroking the central bar back and forth with a fingertip, a human observer perceives a hollow surface geometry even though the bar is physically flat. We used a passive high-density pin matrix to extract only the vertical information of the contact surface, suppressing tangential displacement from surface rubbing. Participants in the psychological experiment reported indented surface geometry by tracing over the FTI textures with pin matrices of the different spatial densities (1.0 and 2.0 mm pin intervals). Human participants reported that the relative magnitude of perceived surface indentation steeply decreased when pins in the adjacent areas vibrated in synchrony. To address possible mechanisms for tactile form perception in the FTI, we developed a computational model of sensory neurons to estimate temporal patterns of action potentials from tactile receptive fields. Our computational data suggest that i) the temporal asynchrony of sensory neuron responses is correlated with the relative magnitude of perceived surface indentation and ii) the spatiotemporal change of displacements in tactile stimuli are correlated with the asynchrony of simulated sensory neuron responses for the fishbone surface patterns. Based on thes

关键词： Textures

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Simulation of space charge transport in solid dielectric materials using transmission lines modeling method

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Journal of Advanced Dielectrics 2019年第6期9卷 63-80页

作者： Amin Shamsi Alireza Ganjovi Amirabbas Shayegani Akmal School of Electrical and Computer Engineering University of Tehran TehranIran Laser Research Department Photonics Research Institute Institute of Science and High Technology and Environmental Sciences Graduate University of Advanced TechnologyKermanIran

In this paper,a lumped RC circuit model,which is based on the Transmission Line Modeling(TLM)method,is used to describe the space charge production and displacement mechanisms in three different solid dielectric materials(LDPE,PTFE and FR4).Each dielectric material is considered as a transmission line with the capacitive and resistance *** obtained circuit equations are solved along with the continuity equations for the various charged species in the bulk of solid dielectric *** electric potential and field,density of different charged species and their recombination rates,resistive and capacitive properties of the solid dielectric material are *** addition,the effects of the variations in the applied voltage,dielectric permittivity and temperature on these physical parameters are ***,compared with LDPE and PTFE,the net charge density increment rate in FR4 is much ***,the influences of temperature on the net charge density in LDPE are not ***,at the higher applied voltages,the current density is ***,the effects of temperature variations on the recombination rates,net charge and current density in LDPE are much ***,the suitability of LDPE as solid dielectric material is proved.

关键词： Solid dielectric materials high voltage devices space charges TLM method

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Self-supervised approach for facial movement based optical flow

arXiv

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arXiv 2021年

作者： Alkaddour, Muhannad Tariq, Usman Dhall, Abhinav Graduate Program in Mechatronics Engineering American University of Sharjah Sharjah United Arab Emirates Department of Electrical Engineering American University of Sharjah Sharjah United Arab Emirates Department of Human Centred Computing Monash University Melbourne Australia Department of Computer Science and Engineering Indian Institute of Technology Ropar Rupnagar India

Computing optical flow is a fundamental problem in computer vision. However, deep learning-based optical flow techniques do not perform well for non-rigid movements such as those found in faces, primarily due to lack of the training data representing the fine facial motion. We hypothesize that learning optical flow on face motion data will improve the quality of predicted flow on faces. The aim of this work is threefold: (1) exploring self-supervised techniques to generate optical flow ground truth for face images;(2) computing baseline results on the effects of using face data to train Convolutional Neural Networks (CNN) for predicting optical flow;and (3) using the learned optical flow in micro-expression recognition to demonstrate its effectiveness. We generate optical flow ground truth using facial key-points in the BP4D-Spontaneous dataset. The generated optical flow is used to train the FlowNetS architecture to test its performance on the generated dataset. The performance of FlowNetS trained on face images surpassed that of other optical flow CNN architectures, demonstrating its usefulness. Our optical flow features are further compared with other methods using the STSTNet micro-expression classifier, and the results indicate that the optical flow obtained using this work has promising applications in facial expression analysis. © 2021, CC BY.

关键词： Optical flows

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Enhancing wound healing and adhesion through dopamine-assisted gelatin-silica hybrid dressings

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International Journal of Biological Macromolecules 2024年第PT 2期258卷 128845页

作者： Lin, Yu-Chien Wang, Huey-Yuan Tang, Yao-Chun Lin, Wan-Rong Tseng, Ching-Li Hu, Chih-Chien Chung, Ren-Jei Department of Chemical Engineering and Biotechnology National Taipei University of Technology Taipei10608 Taiwan School of Materials Science and Engineering Nanyang Technological University 50 Nanyang Avenue Singapore639798 Singapore Department of Stomatology MacKay Memorial Hospital Taipei104217 Taiwan Graduate Institute of Biomedical Materials and Tissue Engineering College of Biomedical Engineering Taipei Medical University Taipei11031 Taiwan International Ph. D. Program in Biomedical Engineering College of Biomedical Engineering Taipei Medical University Taipei11031 Taiwan Research Center of Biomedical Device College of Biomedical Engineering Taipei Medical University Taipei11031 Taiwan International Ph. D. Program in Cell Therapy and Regenerative Medicine College of Medicine Taipei Medical University Taipei11031 Taiwan Bone and Joint Research Center Chang Gung Memorial Hospital Linkou33305 Taiwan Taipei10608 Taiwan

Gelatin, widely employed in hydrogel dressings, faces limitations when used in high fluid environments, hindering effective material adhesion to wound sites and subsequently reducing treatment efficacy. The rapid degradation of conventional hydrogels often results in breakdown before complete wound healing. Thus, there is a pressing need for the development of durable adhesive wound dressings. In this study, 3-glycidoxypropyltrimethoxysilane (GPTMS) was utilized as a coupling agent to create gelatin-silica hybrid (G-H) dressings through the sol-gel method. The coupling reaction established covalent bonds between gelatin and silica networks, enhancing structural stability. Dopamine (DP) was introduced to this hybrid (G-H-D) dressing to further boost adhesiveness. The efficacy of the dressings for wound management was assessed through in-vitro and in-vivo tests, along with ex-vivo bioadhesion testing on pig skin. Tensile bioadhesion tests demonstrated that the G-H-D material exhibited approximately 2.5 times greater adhesion to soft tissue in wet conditions compared to pure gelatin. Moreover, in-vitro and in-vivo wound healing experiments revealed a significant increase in wound healing rates. Consequently, this material shows promise as a viable option for use as a moist wound dressing. © 2023

关键词： Adhesion

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Variational tensor network operator

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Physical Review Research 2022年第4期4卷 043153-043153页

作者： Yu-Hsueh Chen Ke Hsu Wei-Lin Tu Hyun-Yong Lee Ying-Jer Kao Center for Theoretical Physics and Department of Physics National Taiwan University Taipei 10607 Taiwan Division of Display and Semiconductor Physics Korea University Sejong 30019 Korea Department of Applied Physics Graduate School Korea University Sejong 30019 Korea Interdisciplinary Program in E·ICT-Culture-Sports Convergence Korea University Sejong 30019 Korea Center for Quantum Science and Technology National Taiwan University Taipei 10607 Taiwan National Center for High-Performance Computing Hsinchu City 30076 Taiwan

We propose a simple and generic construction of the variational tensor network operators to study the quantum spin systems by the synergy of ideas from the imaginary-time evolution and the variational optimization of trial wave functions. By applying these operators to simple initial states, accurate variational ground-state wave functions with extremely few parameters can be obtained. Furthermore, the framework can be applied to spontaneously study symmetry-breaking, symmetry-protected topological, and intrinsic topologically ordered phases, and we show that symmetries of the local tensors associated with these phases can emerge directly after the optimization without any gauge fixing. This provides a universal way to identify quantum phase transitions without prior knowledge of the system.

关键词： Magnetism Topological order Quantum many-body systems Tensor network methods

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