Results 61 to 70 of about 384,616 (321)
Method of the Logistic Function for Finding Analytical Solutions of Nonlinear Differential Equations
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
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Numerical Solution of Stieltjes Differential Equations
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
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Motion Planning of Uncertain Ordinary Differential Equation Systems [PDF]
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
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Pontryagin principle for a Mayer problem governed by a delay functional differential equation
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
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A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer
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
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
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Similarity solutions of Fokker-Planck equation with time-dependent coefficients
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
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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
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
Boundary value and expansion problems of ordinary linear differential equations [PDF]
George D. Birkhoff
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