Results 71 to 80 of about 5,238,146 (379)

Modified Block-Pulse Functions Scheme for Solve of Two-Dimensional Stochastic Integral Equations

Journal of Mathematical Sciences and Modelling, 2020
In this paper, two-dimensional modified block-pulse functions (2D-MBPFs) method is introduced for approximate solution of 2D-linear stochastic Volterra-Fredholm integral equations so the ordinary and stochastic operrational matrices of integration are ...
Mohsen Fallahpour, Morteza Khodabin
doaj   +1 more source

Bernstein polynomials for solving Abel's integral equation

, 2011
This paper presents a numerical method for solving Abel’s integral equation as singular Volterra integral equations. In the proposed method, the functions in Abel’s integral equation are approximated based on Bernstein polynomials (BPs) and therefore ...
M. Alipour, D. Rostamy
semanticscholar   +1 more source

Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells

FEBS Letters, EarlyView.
Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan, Victoria Scarpelli, Marten Exterkate   +2 more
wiley   +1 more source

Integral transformation of Heun's equation and some applications

, 2014
It is known that the Fuchsian differential equation which produces the sixth Painlev\'e equation corresponds to the Fuchsian differential equation with different parameters via Euler's integral transformation, and Heun's equation also corresponds to Heun'
Takemura, Kouichi
core   +1 more source

Microbial exopolysaccharide production by polyextremophiles in the adaptation to multiple extremes

FEBS Letters, EarlyView.
Polyextremophiles are microorganisms that endure multiple extreme conditions by various adaptation strategies that also include the production of exopolysaccharides (EPSs). This review provides an integrated perspective on EPS biosynthesis, function, and regulation in these organisms, emphasizing their critical role in survival and highlighting their ...
Tracey M Gloster, Ebru Toksoy Öner
wiley   +1 more source

The skew derivative problem for the Helmholtz equation outside cuts in a plane [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1999
The skew derivative problem for the propagative Helmholtz equation outside cuts in a plane is studied by potential theory and the boundary integral equation method.
P.A. Krutitskii
doaj  

Comparing self‐reported race and genetic ancestry for identifying potential differentially methylated sites in endometrial cancer: insights from African ancestry proportions using machine learning models

Molecular Oncology, EarlyView.
Integrating ancestry, differential methylation analysis, and machine learning, we identified robust epigenetic signature genes (ESGs) and Core‐ESGs in Black and White women with endometrial cancer. Core‐ESGs (namely APOBEC1 and PLEKHG5) methylation levels were significantly associated with survival, with tumors from high African ancestry (THA) showing ...
Huma Asif, J. Julie Kim
wiley   +1 more source

Adsorption Integral Equation [PDF]

Journal of Integral Equations and Applications, 2004
The author discusses the adsorption integral equation which describes the relationship between the measured adsorption isotherm and the unknown energy distribution function. Firstly he reduces the equation to the Langmuir integral equation, then shows that under rather general assumption the equation can be solved in an analytical form.
openaire   +3 more sources

Master equation for spin-spin correlation functions of the XXZ chain

, 2004
We derive a new representation for spin-spin correlation functions of the finite XXZ spin-1/2 Heisenberg chain in terms of a single multiple integral, that we call the master equation.
Babelon, Babudjan, Babudjan, Baxter, Belavin, Belavin, Bethe, Boos, Boos, Colomo, Faddeev, Faddeev, Gaudin, Gaudin, Göhmann, Heisenberg, Izergin, Izergin, J.M. Maillet, Jimbo, Jimbo, Jimbo, Jimbo, Karowski, Kitanine, Kitanine, Kitanine, Kitanine, Kitanine, Kojima, Korepin, Korepin, Lieb, Maillet, McCoy, McCoy, Miki, N. Kitanine, N.A. Slavnov, Onsager, Orbach, Quano, Sato, Sato, Sato, Sato, Sato, Slavnov, Smirnov, Takhtajan, Tarasov, V. Terras, Walker, Wu, Yang, Yang, Zamolodchikov, Zamolodchikov   +57 more
core   +3 more sources

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source