Results 51 to 60 of about 888,164 (293)

Solutions for singular Volterra integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2009
We consider the system of Volterra integral equations $$ \begin{array}{l} u_i(t)=\int_{0}^{t}g_i(t,s)[P_i(s,u_1(s),u_2(s),\cdots, u_n(s)) + Q_i(s,u_1(s),u_2(s),\cdots, u_n(s))]ds, t\in [0,T],1\leq i\leq n \end{array} $$ where $T>0$ is fixed and the ...
Patricia J. Y. Wong
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The Carleman regularization technique in the modelling of the plane E‐polarized electromagnetic wave scattering by a flat system of impedance strips

IET Microwaves, Antennas & Propagation, 2021
The Carleman method of analytical regularization is used to model the plane E‐polarized electromagnetic wave scattering by flat grating of a finite number of impedance strips. It is based on a modification of the singular integral equation technique, the
George I. Koshovy, Andrew G. Koshovy
doaj   +1 more source

Integrative systems‐level analysis reveals a contextual crosstalk between hypoxia and global metabolism in human breast tumors

Molecular Oncology, EarlyView.
Breast tumor samples scored for metabolic deregulation (M1 to M3) were given a hypoxia score (HS). The highest HS occurred in patients with strongest metabolic deregulation (M3), supporting tumor aggressiveness. HS correlated with the highest number of metabolic pathways in M1. This suggests hypoxia to be an early event in metabolic deregulation.
Raefa Abou Khouzam, Salem Chouaib, Mohammad Askandar Iqbal   +2 more
wiley   +1 more source

Separation of soft and collinear singularities from one-loop N-point integrals [PDF]

Nucl.Phys. B675 (2003) 447-466, 2003
The soft and collinear singularities of general scalar and tensor one-loop N-point integrals are worked out explicitly. As a result a simple explicit formula is given that expresses the singular part in terms of 3-point integrals. Apart from predicting the singularities, this result can be used to transfer singular one-loop integrals from one ...
arxiv   +1 more source

NanoCMSer: a consensus molecular subtype stratification tool for fresh‐frozen and paraffin‐embedded colorectal cancer samples

Molecular Oncology, EarlyView.
Consensus molecular subtypes (CMS1‐4) have been identified to study colorectal cancer heterogeneity and serve as potential biomarkers. In this study, we developed and evaluated NanoCMSer, a NanoString‐based classifier using 55 genes, optimized for FF and FFPE to facilitate the clinical evaluation of CMS subtyping.
Arezo Torang, Simone van de Weerd, Veerle Lammers, Sander van Hooff, Inge van den Berg, Saskia van den Bergh, Miriam Koopman, Jan N. IJzermans, Jeanine M. L. Roodhart, Jan Koster, Jan Paul Medema   +10 more
wiley   +1 more source

Clinical significance of stratifying prostate cancer patients through specific circulating genes

Molecular Oncology, EarlyView.
We tested a specific panel of genes representative of luminal, neuroendocrine and stem‐like cells in the blood of prostate cancer patients, showing predictive value from diagnosis to late stages of disease. This approach allows monitoring of treatment responses and outcomes at specific time points in trajectories.
Seta Derderian, Edouard Jarry, Arynne Santos, Quentin Vesval, Lucie Hamel, Rafael Sanchez‐Salas, Alexis Rompré‐Brodeur, Wassim Kassouf, Raghu Rajan, Fadi Brimo, Marie Duclos, Armen Aprikian, Simone Chevalier   +12 more
wiley   +1 more source

Finite-part singular integral approximations in Hilbert spaces

International Journal of Mathematics and Mathematical Sciences, 2004
Some new approximation methods are proposed for the numerical evaluation of the finite-part singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on ...
E. G. Ladopoulos, G. Tsamasphyros, V. A. Zisis   +2 more
doaj   +1 more source

Note on the singular Hermitian metrics with analytic singularities [PDF]

arXiv, 2022
We study the sheaf of locally square integrable holomorphic section of vector bundle with semi-positive curved singular Hermitian metric. We confirm the coherence when its induced determinant metric has analytic singularities.
arxiv  

Stochastic variation in the FOXM1 transcription program mediates replication stress tolerance

Molecular Oncology, EarlyView.
Cellular heterogeneity is a major cause of drug resistance in cancer. Segeren et al. used single‐cell transcriptomics to investigate gene expression events that correlate with sensitivity to the DNA‐damaging drugs gemcitabine and prexasertib. They show that dampened expression of transcription factor FOXM1 and its target genes protected cells against ...
Hendrika A. Segeren, Kathryn A. Wierenga, Frank M. Riemers, Elsbeth A. van Liere, Bart Westendorp   +4 more
wiley   +1 more source

Numerical solution of singular integro-differential Prandtl equation by the method of orthogonal polynomials

Журнал Белорусского государственного университета: Математика, информатика, 2019
The paper is constructed and proved computational scheme for a solution of singular Prandtl of integro-differential  equations with singular integral over the interval of the real axis, understood in the sense of the Cauchy principal value.
Galina A. Rasolko
doaj