Results 11 to 20 of about 14,895 (148)
Comments on whether nonlinear fractional partial differential equations have soliton solutions
Partial Differential Equations in Applied Mathematics, 2022 It is well known that many nonlinear integer-order partial differential equations (PDEs) have soliton solutions, this is an indisputable fact in the field of soliton theory.
Weiguo Rui
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Quantitative Predictive Modelling Approaches to Understanding Rheumatoid Arthritis: A Brief Review
Cells, 2019 Rheumatoid arthritis is a chronic autoimmune disease that is a major public health challenge. The disease is characterised by inflammation of synovial joints and cartilage erosion, which lead to chronic pain, poor life quality and, in some cases ...
Fiona R. Macfarlane +2 more
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Fast and Slow Decaying Solutions of Lane–Emden Equations Involving Nonhomogeneous Potential
Advanced Nonlinear Studies, 2020 Our purpose in this paper is to study positive solutions of the Lane–Emden ...
Chen Huyuan, Huang Xia, Zhou Feng
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A Rosetta Stone for information theory and differential equations
Communications in Advanced Mathematical Sciences, 2018 In this paper, we propose a dictionary between Partial Differential Equations and Information Theory. As a model case, we will discuss in detail the example of the Schrödinger Equation and Shannon Information Theory.
Alessandro Selvitella
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Unsupervised Legendre–Galerkin Neural Network for Solving Partial Differential Equations
IEEE Access, 2023 In recent years, machine learning methods have been used to solve partial differential equations (PDEs) and dynamical systems, leading to the development of a new research field called scientific machine learning, which combines techniques such as deep ...
Junho Choi, Namjung Kim, Youngjoon Hong
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Dynamic differences between DNA damage repair responses in primary tumors and cell lines
Translational Oncology, 2021 The study of DNA damage repair response (DDR) in prostate cancer is restricted by the limited number of prostate cancer cell lines and lack of surrogates for heterogeneity in clinical samples.
Collin Gilbreath +11 more
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Plasma desmosine for prediction of outcomes after acute myocardial infarction
Frontiers in Cardiovascular Medicine, 2022 BackgroundElastin degradation is implicated in the pathology of vulnerable plaque. Recent studies show promising results for plasma desmosine (pDES), an elastin-specific degradation product, as a marker of cardiovascular disease (CVD) outcomes.
Kashan Ali +9 more
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پژوهشهای ریاضی, 2021 In this paper, we consider a generalized form of nonlinear Radhakrishnan-Kundu-Lakshmanan equation. The generalized exponential rational function method has been used to obtain some novel exact optical solutions.
Behzad Ghanbari
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KoopmanLab: Machine learning for solving complex physics equations
APL Machine Learning, 2023 Numerous physics theories are rooted in partial differential equations (PDEs). However, the increasingly intricate physics equations, especially those that lack analytic solutions or closed forms, have impeded the further development of physics ...
Wei Xiong +5 more
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