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A mathematical analysis of SELEX [PDF]
Computational Biology and Chemistry, 2007 Systematic evolution of ligands by exponential enrichment (SELEX) is a procedure by which a mixture of nucleic acids that vary in sequence can be separated into pure components with the goal of isolating those with specific biochemical activities. The basic idea is to combine the mixture with a specific target molecule and then separate the target-NA ...
Howard A. Levine, Marit Nilsen-Hamilton
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Extreme problems in the space of meromorphic functions of finite order in the half plane. II
Математичні Студії, 2020 The extremal problems in the space of meromorphic functions of order $\rho>0$ in upper half-plane are studed. The method for studying is based on the theory of Fourier coefficients of meromorphic functions.
K.G. Malyutin, A.A. Revenko
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Mathematical Analysis of Novel Coronavirus (2019-nCov) Delay Pandemic Model
Computers Materials & Continua, 2020 In this manuscript, the mathematical analysis of corona virus model with time delay effect is studied Mathematical modelling of infectious diseases has substantial role in the different disciplines such as biological, engineering, physical, social ...
Muhammad Naveed +6 more
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Modelling line edge roughness in periodic line-space structures by Fourier optics to improve scatterometry [PDF]
Journal of the European Optical Society-Rapid Publications, 2014 In the present paper, we propose a 2D-Fourier transform method as a simple and efficient algorithm for stochastical and numerical studies to investigate the systematic impacts of line edge roughness on light diffraction pattern of periodic line-space ...
Gross H. +5 more
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Disentangling the Information in Species Interaction Networks
Entropy, 2021 Shannon’s entropy measure is a popular means for quantifying ecological diversity. We explore how one can use information-theoretic measures (that are often called indices in ecology) on joint ensembles to study the diversity of species interaction ...
Michiel Stock +2 more
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Analytic Resolving Families for Equations with the Dzhrbashyan–Nersesyan Fractional Derivative
Fractal and Fractional, 2022 In this paper, a criterion for generating an analytic family of operators, which resolves a linear equation solved with respect to the Dzhrbashyan–Nersesyan fractional derivative, via a linear closed operator is obtained.
Vladimir E. Fedorov +2 more
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Mathematics, 2020 The aim of this study is to evaluate students’ achievements in mathematics using three machine learning regression methods: classification and regression trees (CART), CART ensembles and bagging (CART-EB) and multivariate adaptive regression splines ...
Snezhana Gocheva-Ilieva +2 more
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Topics in Mathematical Analysis [PDF]
, 2008 Complex Variables and Potential Theory: Integral Representations in Complex, Hypercomplex and Clifford Analysis (H Begehr) Nonlinear Potential Theory in Metric Spaces (O Martio) Differential Equations and Nonlinear Analysis: Geometric Evolution Problems (G Bellettini) Introduction to Bifurcation Theory (P Drabek) Nonlinear Eigenvalue Problems (P ...
CIATTI, PAOLO +3 more
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Mathematical Analysis of Chemical Reaction Systems [PDF]
, 2018 The use of mathematical methods for the analysis of chemical reaction systems has a very long history, and involves many types of models: deterministic versus stochastic, continuous versus discrete, and homogeneous versus spatially distributed.
Polly Y. Yu, G. Craciun
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Mathematical Analysis of Ultrafast Ultrasound Imaging [PDF]
SIAM Journal on Applied Mathematics, 2016 This paper provides a mathematical analysis of ultrafast ultrasound imaging. This newly emerging modality for biomedical imaging uses plane waves instead of focused waves in order to achieve very high frame rates.
G. Alberti +3 more
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