Results 91 to 100 of about 2,558,527 (394)
Mathematics, 2020 In this paper, we consider a nonlinear fractional differential equation. This equation takes the form of the Bernoulli differential equation, where we use the Caputo fractional derivative of non-integer order instead of the first-order derivative.
Vasily E. Tarasov
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General Matrix-Valued Inhomogeneous Linear Stochastic Differential Equations and Applications [PDF]
arXiv, 2008 The expressions of solutions for general $n\times m$ matrix-valued inhomogeneous linear stochastic differential equations are derived. This generalizes a result of Jaschke (2003) for scalar inhomogeneous linear stochastic differential equations. As an application, some $\R^n$ vector-valued inhomogeneous nonlinear stochastic differential equations are ...
arxiv
A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer
Molecular Oncology, EarlyView.Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMag™, EasySep™, RosetteSep™, Parsortix® PR1, and Parsortix® Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini +11 more
wiley +1 more source
On linear matrix differential equations
Advances in Applied Mathematics, 2007 AbstractWe use elementary methods and operator identities to solve linear matrix differential equations and we obtain explicit formulas for the exponential of a matrix. We also give explicit constructions of solutions of scalar homogeneous equations with certain initial values, called dynamic solutions, that play an important role in the solution of ...
openaire +1 more source
Unraveling the metastasis‐preventing effect of miR‐200c in vitro and in vivo
Molecular Oncology, EarlyView.Advanced tumors and ineffective cancer treatments can lead to metastases in distant organs. The sole expression of microRNA 200c (miR‐200c) in breast cancer cells is shown to significantly reduce metastasis formation in xenograft mouse models. Various in vitro analyses revealed impeded migratory behavior, upon miR‐200c expression, as one prerequisite ...
Bianca Köhler +12 more
wiley +1 more source
Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations [PDF]
, 1953 Felix E. Browder
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A kind of non-zero sum mixed differential game of backward stochastic differential equation
Advances in Difference Equations, 2020 This paper is concerned with a non-zero sum mixed differential game problem described by a backward stochastic differential equation. Here the term “mixed” means that this game problem contains a deterministic control v1 $v_{1}$ of Player 1 and a random ...
Huanjun Zhang
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AIMS Mathematics, 2020 In present paper, we introduced generalized iterative method to solve linear and nonlinear fractional differential equations with composite fractional derivative operator.
Krunal B. Kachhia +1 more
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A bound for a typical differential dimension of system of linear differential equations [PDF]
arXiv, 2018 We prove upper and lower bounds for leading coefficient of Kolchin dimension polynomial of systems of partial linear differential equations in codimension two.
arxiv
Molecular Oncology, EarlyView.This study demonstrates that KRAS and GNAS mutations are more prevalent in patients with resected intraductal papillary mucinous neoplasms (IPMN) compared to those under clinical surveillance. GNAS mutations significantly differ between the two patient cohorts, indicating that their absence may serve as a potential biomarker to support conservative ...
Christine Nitschke +12 more
wiley +1 more source