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Liquid biopsy‐based diagnostic evaluation of hypermethylated CpG sites for ovarian cancer diagnosis
Molecular Oncology, EarlyView.This schematic outlines the workflow from biomarker identification to duplex MethyLight assay validation for epithelial ovarian cancer diagnosis using cfDNA‐based liquid biopsy. Initial screening of hypermethylated CpG candidates (cg02957270, cg10061138 cg00480298, COL2A1) was performed in tissue using ARMS‐PCR, COBRA, qPCR and image analysis. Selected
Deepa Bisht +3 more
wiley +1 more source
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Numerical Solution of Asymmetric Auctions
Decision Analysis, 2021We propose the backward indifference derivation (BID) algorithm, a new method to numerically approximate the pure strategy Nash equilibrium (PSNE) bidding functions in asymmetric first-price auctions. The BID algorithm constructs a sequence of finite-action PSNE that converges to the continuum-action PSNE by finding where bidders are indifferent ...
Timothy C. Au, David Banks, Yi Guo
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Numerical Solution of Nonlinear Equations
ACM Transactions on Mathematical Software, 1979The numermal solutmn of n nonhnear equatmns in n varmbles using the methods of Newton, Brown, and Brent is drscussed. The algorithms are described in detail and their lmplementatmns are compared on a set of test problems.
Jorge J. Moré, Michel Cosnard
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Numerical solutions to noisy systems
49th IEEE Conference on Decision and Control (CDC), 2010A numerical method for rigorous over-approximation of a solution set of an input-affine system whose inputs represent some bounded noise is presented. The method gives high order error for a single time step and a uniform bound on the error over the finite time interval.
S. Živanovic (Sanja) +1 more
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2013
We look at the method of lines using standard initial-value problem (IVP) software for stiff problems. Both spectral methods and compact finite differences are used for the spatial derivatives. We look briefly at the transverse method of lines, which instead uses standard boundary value problem (BVP) software that has automatic mesh selection.
Robert M. Corless, Nicolas Fillion
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We look at the method of lines using standard initial-value problem (IVP) software for stiff problems. Both spectral methods and compact finite differences are used for the spatial derivatives. We look briefly at the transverse method of lines, which instead uses standard boundary value problem (BVP) software that has automatic mesh selection.
Robert M. Corless, Nicolas Fillion
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Numerical Solution of Equations
2020Solving equations, and systems of equations, of all kinds, both algebraic and transcendental, is a very frequent task in a physicist’s life. Very often equations, particularly algebraic nonlinear equations and transcendental equations, have no analytical solutions. In this case we look for approximate numerical solutions.
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Numerical solutions of the Laplace’s equation
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2009
Abstract This chapter describes the method for numerical integration of the equations that underlie NeuroDynamix II models.
W. Otto Friesen, Jonathon A. Friesen
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Abstract This chapter describes the method for numerical integration of the equations that underlie NeuroDynamix II models.
W. Otto Friesen, Jonathon A. Friesen
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Numerical Solution of an Interdiffusion Problem
SIAM Journal on Numerical Analysis, 1992The interdiffusion problem of two alloys is studied. It is assumed that the alloys are brought into contact and then heated to a fixed temperature. The problem is considered to be one-dimensional, the time dependent change of concentration being caused by convective and diffusive fluxes, with the diffusion coefficient depending on the local ...
Fresnel, Christophe +1 more
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