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Analytical and numerical studies for integrable and non-integrable fractional discrete modified Korteweg-de Vries hierarchies.
Chaos
January 2025
College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
Under investigation in this paper is the integrable and non-integrable fractional discrete modified Korteweg-de Vries hierarchies. The linear dispersion relations, completeness relations, inverse scattering transform, and fractional soliton solutions of the integrable fractional discrete modified Korteweg-de Vries hierarchy will be explored. The inverse scattering problem will be solved accurately by constructing Gel'fand-Levitan-Marchenko equations and Riemann-Hilbert problem.
View Article and Find Full Text PDFCompetencies of nurses to participate in safe medication management practices for biologics: A scoping review.
PLoS One
January 2025
Nursing Department, Shanxi Mental Health Centre, Taiyuan, China.
Aim: To review the existing literature relating to nurse competence in safe medication management practices for biologics, identify evidence, and develop a competency framework to clarify the role of nurses in these practices.
Background: With the widespread use of biological agents in disease treatment, ensuring the safe and economical use of high-cost medicines is particularly important. Even though nurses are essential in patient care, detailed knowledge regarding their competence and role in the safe administration of biologics is lacking.
Estimation of stationary and non-stationary moving average processes in the correlation domain.
PLoS One
January 2025
Institute of Robotics and Cybernetics, Faculty of Electrical Engineering and Information Technology Slovak University of Technology in Bratislava, Bratislava, Slovakia.
This paper introduces a novel approach for the offline estimation of stationary moving average processes, further extending it to efficient online estimation of non-stationary processes. The novelty lies in a unique technique to solve the autocorrelation function matching problem leveraging that the autocorrelation function of a colored noise is equal to the autocorrelation function of the coefficients of the moving average process. This enables the derivation of a system of nonlinear equations to be solved for estimating the model parameters.
View Article and Find Full Text PDFHybrid molecular-scale and continuum modeling of two-dimensional flow between inhomogeneous solid surfaces and its application to the thrust bearing.
J Mol Model
January 2025
College of Mechanical Engineering, Changzhou University, Changzhou, Jiangsu Province, China.
Context: The flow equations are derived for describing the two-dimensional hybrid molecular-scale and continuum flows in the very small surface separation with inhomogeneous solid surfaces and they can be applied for designing the specific bearings. The aim of the present study is to solve this specific flow problem in engineering with normal computational cost. The flow factor approach model describes the flow of the molecule layer adjacent to the solid surface and the Newtonian fluid model describes the flow of the intermediate continuum fluid.
View Article and Find Full Text PDFNursing as a Functional System of Society. A Systems Theoretical Perspective on Nursing and the Research Object of Nursing Science.
Nurs Philos
January 2025
State Examination in Vocational Education, Vocational Specialization: Nursing and Health Science; Second Subject: Social Studies. (Germany, Bavaria; comp. Master Degree); Scientific Assistant at Medical School Berlin, Berlin, Germany.
The transformation of societies' age structures has intensified the need for nursing care, especially in economically developed regions of the world. This will necessitate societal decisions that determine how care needs are met in the long term. This article offers a sociological perspective on nursing care using Luhmann's systems theory.
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