Results 91 to 100 of about 1,283,580 (337)

An Algorithm for the Solution of Integro-Fractional Differential Equations with a Generalized Symmetric Singular Kernel

Fractal and Fractional
This work studies an integro-fractional differential equation (I-FrDE) with a generalized symmetric singular kernel. The scientific approach in this study was to transform the integro-differential equation (I-DE) into a mixed integral equation (MIE) with
Sameeha A. Raad, Mohammed A. Abdou
doaj   +1 more source

Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation

International Journal of Mathematics and Mathematical Sciences, 1999
The generalized forced Boussinesq equation, utt−uxx+[f(u)]xx+uxxxx=h0, and its periodic traveling wave solutions are considered. Using the transform z=x−ωt, the equation is converted to a nonlinear ordinary differential equation with periodic boundary ...
Kenneth L. Jones, Yunkai Chen
doaj   +1 more source

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

The Solution of Integral Equations [PDF]

Proceedings of the London Mathematical Society, 1909
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openaire   +3 more sources

The solution of an integral equation [PDF]

Proceedings of the American Mathematical Society, 1973
Various methods are developed to solve the integral equation f ( x ) = ∫ 0 ∞ g ( t ) k ( x t ) d t f(x) = \int _0^\infty {g(t)} k(xt)dt , when the Mellin transform
openaire   +2 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

Inverse problem for a Fredholm third order partial integro-differential equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj   +1 more source

On a special integral equation [PDF]

Proceedings of the American Mathematical Society, 1959
2. J. Myhill, Creative sets, Z. Math. Logik Grundlagen Math. vol. 1 (1955) pp. 97-108. 3. S. Kleene, On notation for ordinal numbers, J. Symb. Logic vol. 3 (1938) pp. 150-155. 4. , Arithmetical predicates and function quantifiers, Trans. Amer. Math. Soc. vol. 79 (1955) pp. 312-340. 5. C. Spector, Recursive well orderings, J. Symb. Logic, vol. 20 (1955)
openaire   +2 more sources

Multidimensional OMICs reveal ARID1A orchestrated control of DNA damage, splicing, and cell cycle in normal‐like and malignant urothelial cells

Molecular Oncology, EarlyView.
Loss of the frequently mutated chromatin remodeler ARID1A, a subunit of the SWI/SNF cBAF complex, results in less open chromatin, alternative splicing, and the failure to stop cells from progressing through the cell cycle after DNA damage in bladder (cancer) cells. Created in BioRender. Epigenetic regulators, such as the SWI/SNF complex, with important
Rebecca M. Schlösser, Florian Krumbach, Eyleen Corrales, Geoffroy Andrieux, Christian Preisinger, Franziska Liss, Alexandra Golzmann, Melanie Boerries, Kerstin Becker, Ruth Knüchel, Stefan Garczyk, Bernhard Lüscher   +11 more
wiley   +1 more source

Angle-dependent integral equation theory improves results of thermodynamics and structure of rose water model. [PDF]

J Chem Phys, 2023
Ogrin P, Urbic T.
europepmc   +1 more source