Results 61 to 70 of about 384,616 (321)

Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations

open access: yesМоделирование и анализ информационных систем, 2015
The method of the logistic function is presented for finding exact solutions of nonlinear differential equations. The application of the method is illustrated by using the nonlinear ordinary differential equation of the fourth order. Analytical solutions
N. A. Kudryashov
doaj   +1 more source

Numerical Solution of Stieltjes Differential Equations

open access: yesMathematics, 2020
This work is devoted to the obtaining of a new numerical scheme based on quadrature formulae for the Lebesgue–Stieltjes integral for the approximation of Stieltjes ordinary differential equations.
Francisco J. Fernández   +1 more
doaj   +1 more source

Motion Planning of Uncertain Ordinary Differential Equation Systems [PDF]

open access: yes, 2011
This work presents a novel motion planning framework, rooted in nonlinear programming theory, that treats uncertain fully and under-actuated dynamical systems described by ordinary differential equations.
Hays, Joe   +3 more
core   +1 more source

Pontryagin principle for a Mayer problem governed by a delay functional differential equation

open access: yes, 2016
We establish Pontryagin principles for a Mayer's optimal control problem governed by a functional differential equation. The control functions are piecewise continuous and the state functions are piecewise continuously differentiable.
Blot, Joël, Kon\', Mamadou Ibrahima
core   +3 more sources

A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer

open access: yesMolecular 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 Nonlinear Dynamics of the STAT5a Signaling Protein

open access: yesBiomath, 2014
In this paper we model the dynamics of the cross talk between MEK/ERK and JAK/STAT signaling pathways by means of nonlinear ordinary differential equations.
Elena Nikolova   +2 more
doaj   +1 more source

Similarity solutions of Fokker-Planck equation with time-dependent coefficients

open access: yes, 2011
In this work, we consider the solvability of the Fokker-Planck equation with both time-dependent drift and diffusion coefficients by means of the similarity method.
Bluman   +21 more
core   +1 more source

KRAS and GNAS mutations in cell‐free DNA and in circulating epithelial cells in patients with intraductal papillary mucinous neoplasms—an observational pilot study

open access: yesMolecular 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

Cellular liquid biopsy provides unique chances for disease monitoring, preclinical model generation and therapy adjustment in rare salivary gland cancer patients

open access: yesMolecular 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

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