Results 1 to 10 of about 475,912 (124)
Operator methods applied to special functions [PDF]
Applied Mathematics and Information Sciences 9, No. 3, 1283-1289
(2015), 2014 Based on operator algebras commonly used in quantum mechanics some properties of special functions such as Hermite and Laguerre polynomials and Bessel functions are derived.
arxiv +1 more source
Finding meaningful and workable applied mathematics problems in science [PDF]
arXiv, 2023 In this short review, I will summarize my research experience in three fields in applied mathematics: mathematical biology, applied probability, and applied discrete mathematics. Specifically, I will show how each project was initiated, and what wrong approaches were applied. Such details are important in learning how to do research, but they cannot be
arxiv
Calculus of variations with fractional derivatives and fractional integrals [PDF]
Applied Mathematics Letters 22 (2009) 1816--1820, 2009 We prove Euler-Lagrange fractional equations and sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann-Liouville.
arxiv +1 more source
Mathematical modeling for sustainability: How can it promote sustainable learning in mathematics education? [PDF]
arXiv, 2023 This article reviews the current state of teaching and learning mathematical modeling in the context of sustainable development goals for education at the tertiary level. While ample research on mathematical modeling education and published textbooks on the topic are available, there is a lack of focus on mathematical modeling for sustainability.
arxiv
The power of microRNA regulation—insights into immunity and metabolism
FEBS Letters, EarlyView.MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto +2 more
wiley +1 more source
Applied Philosophy in Mathematics [PDF]
arXiv, 2020 We show a possibility to apply certain philosophical concepts to the analysis of concrete mathematical structures. Such application gives a clear justification of topological and geometric properties of considered mathematical objects.
arxiv
Molecular Oncology, EarlyView.This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu +12 more
wiley +1 more source
Understanding and measuring mechanical signals in the tumor stroma
FEBS Open Bio, EarlyView.This review discusses cancer‐associated fibroblast subtypes and their functions, particularly in relation to extracellular matrix production, as well as the development of 3D models to study tumor stroma mechanics in vitro. Several quantitative techniques to measure tissue mechanical properties are also described, to emphasize the diagnostic and ...
Fàtima de la Jara Ortiz +3 more
wiley +1 more source
Experimental Mathematics and Mathematical Physics [PDF]
Contemp. Math. 517 (Amer. Math. Soc., 2010), 41--58, 2010 One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the
arxiv +1 more source
FEBS Open Bio, EarlyView.This review highlights how foundation models enhance predictive healthcare by integrating advanced digital twin modeling with multiomics and biomedical data. This approach supports disease management, risk assessment, and personalized medicine, with the goal of optimizing health outcomes through adaptive, interpretable digital simulations, accessible ...
Sakhaa Alsaedi +2 more
wiley +1 more source