Results 91 to 100 of about 5,238,146 (379)
On the Theory of an Integral Equation
Advances in Applied Mathematics, 1994 The main object of the study in the paper is the following integral equation (1) \(x(t) = f(t) - \mu \int^ \infty_ 0 K(\tau) \text{sign} [x(t - \tau)] d \tau\). Here it is assumed that \(\mu \geq 0\), \(f\) is a continuous function having only isolated zeros \(t_ k\) such that \(f'(t_ k) \neq 0\) for \(k=1,2, \dots\). Moreover, the kernel function \(K\)
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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
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Integral equation theory for nematic fluids
Condensed Matter Physics, 2010 The traditional formalism in liquid state theory based on the calculation of the pair distribution function is generalized and reviewed for nematic fluids. The considered approach is based on the solution of orientationally inhomogeneous Ornstein-Zernike
M.F. Holovko
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The purpose of this work is to study the 3-D scalar problem of scattering a plane wave from an inhomogeneous solid covered with an infinitely thin layer of graphene. Material and methods.
Aleksey A. Tsupak
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TRPM8 levels determine tumor vulnerability to channel agonists
Molecular Oncology, EarlyView.TRPM8 is a Ca2+ permissive channel. Regardless of the amount of its transcript, high levels of TRPM8 protein mark different tumors, including prostate, breast, colorectal, and lung carcinomas. Targeting TRPM8 with channel agonists stimulates inward calcium currents followed by emptying of cytosolic Ca2+ stores in cancer cells.
Alessandro Alaimo +18 more
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Some properties of the functional equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy
International Journal of Mathematics and Mathematical Sciences, 1991 A discussion is given of some of the properties of the functional Volterra Integral equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy. and of the corresponding multidimensional equation.
Li. G. Chambers
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Constructive method for solvability of Fredholm equation of the first kind
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The solvability and construction of the general solution of the first kind Fredholm integral equation are among the insufficiently explored problems in mathematics. There are various approaches to solve this problem.
Serikbai Aisagaliev, Zhanat Zhunussova
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Molecular Oncology, EarlyView.In patients treated with atezolizumab as a part of the MyPathway (NCT02091141) trial, pre‐treatment ctDNA tumor fraction at high levels was associated with poor outcomes (radiographic response, progression‐free survival, and overall survival) but better sensitivity for blood tumor mutational burden (bTMB).
Charles Swanton +17 more
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Archives of Acoustics, 2014 In this paper, the authors propose an algorithm for numerical solution of the 3D Helmholtz equation using the Parametric Integral Equation System (PIES). The PIES, unlike the traditional Boundary Integral Equation (BIE), is characterized by the fact that
E. ZIENIUK, K. SZERSZEŃ
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