Results 81 to 90 of about 1,362,923 (320)
Molecular Oncology, EarlyView.We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić +31 more
wiley +1 more source
Ulam-Hyers stability of a parabolic partial differential equation
Demonstratio Mathematica, 2019 The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela +2 more
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Studying a Tumor Growth Partial Differential Equation via the Black–Scholes Equation
Computation, 2020 Two equations are considered in this paper—the Black–Scholes equation and an equation that models the spatial dynamics of a brain tumor under some treatment regime. We shall call the latter equation the tumor equation.
Winter Sinkala, Tembinkosi F. Nkalashe
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Geraghty-type theorems in modular metric spaces with an application to partial differential equation
, 2012 In this article, we prove some fixed point theorems of Geraghty-type concerning the existence and uniqueness of fixed points under the setting of modular metric spaces.
P. Chaipunya, Y. Je Cho, Poom Kumam
semanticscholar +1 more source
On stochastic differential equations and a generalised Burgers equation [PDF]
, 2012 In this paper, we discuss a link of Itˆo’s stochastic differential equa- tions to nonlinear partial differential equations of Burgers type. Un- der certain conditions, we derive a generalised Burgers equation from a stochastic differential equation.
Wu, JiangLun, Yang, Wei
core
Molecular Oncology, EarlyView.The authors applied joint/mixed models that predict mortality of trifluridine/tipiracil‐treated metastatic colorectal cancer patients based on circulating tumor DNA (ctDNA) trajectories. Patients at high risk of death could be spared aggressive therapy with the prospect of a higher quality of life in their remaining lifetime, whereas patients with a ...
Matthias Unseld +7 more
wiley +1 more source
Q-measure-valued solution of a hyperbolic partial differential equation
Partial Differential Equations in Applied Mathematics, 2022 In this article, we introduced a new measure termed as Q-measure to represent a weak* limit of the barycenter of a sequence of Borel measurable function. The Q-measure is defined by replacing the sequence of measurable functions via the barycenter of the
Jisha C.R.
doaj
Hyperdeterminant and an integrable partial differential equation [PDF]
, 2011 We discuss an integrable partial differential equation arising from the ...
Steeb, Willi-Hans
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Molecular Oncology, EarlyView.This study simultaneously investigated circulating tumor cells (CTCs) and exosomes from small‐cell lung cancer (SCLC) patients. The elevated expression of JUNB and CXCR4 in CTCs was a poor prognostic factor for SCLC patients, whereas exosomal overexpression of these biomarkers revealed a high discrimination ability of patients from healthy individuals,
Dimitrios Papakonstantinou +13 more
wiley +1 more source
Exact solutions of some nonlinear evolution equations via the first integral method
Ain Shams Engineering Journal, 2013 The first integral method can be used to construct exact traveling wave solutions of nonlinear partial differential equations. In this work, we explore new application of this method to some special nonlinear partial differential equations.
N. Taghizadeh +2 more
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