Artificial molecular machines and motors—Design and control of nanoscale motion
Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley +1 more source
Generalized Trajectory Planning Using Polynomial Functions of Arbitrary Odd Degree
In this paper, we explore the synthesis of a trajectory with preassigned maximum velocity and acceleration for planning longitudinal horizontal motion.
Miroslava Ivanova, Hristo Genev
doaj +1 more source
Numerical Investigation of the Steady State of a Driven Thin Film Equation
A third-order ordinary differential equation with application in the flow of a thin liquid film is considered. The boundary conditions come from Tanner's problem for the surface tension driven flow of a thin film.
A. J. Hutchinson, C. Harley, E. Momoniat
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Leucine‐rich glioma inactivated 1 (LGI1) is a ganglioside‐binding protein
Neuronal hyperexcitability associated with a decrease/absence of the extracellular protein LGI1 has been suggested to be primarily due to the downregulation of Kv1 channel expression. The molecular mechanisms underlying this decrease have not yet been elucidated.
Kévin Debreux +7 more
wiley +1 more source
ON INITIAL BOUNDARY VALUE PROBLEMS FOR THE DEGENERATE 1D WAVE EQUATION
Initial boundary value problems in space-time rectangle for the following linear inhomogeneous degenerate wave equation of the second order smooth coefficient function a(x) vanishes in single points of segment.
Vladimir V. Borsch
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Computational Methods for Differential Equations
The CMDE journal (Computational Methods for Differential Equations) aims to publish original research articles related to the development and analysis of new methods for solving differential equations, and their numerical or computational ...
Ballestra Luca Vincenzo
core +1 more source
A context‐dependent modulatory role for eIF6 in acquired resistance to vemurafenib in melanoma
Acquired resistance to vemurafenib upregulates the translation factor eIF6 in melanoma cells. Silencing eIF6 in resistant cells reduces proliferation and partially restores drug sensitivity, whereas its overexpression increases sensitivity across melanoma lines regardless of BRAF status, via modulation of mTOR, S6K, and MAPK signaling.
George Kyriakopoulos +9 more
wiley +1 more source
Nonlocal Integro-Differential Equations of the Second Order with Degeneration
We study the solvability for boundary value problems to some nonlocal second-order integro–differential equations that degenerate by a selected variable. The possibility of degeneration in the equations under consideration means that the statements
Aleksandr I. Kozhanov
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Algebraic Properties of First Integrals for Scalar Linear Third-Order ODEs of Maximal Symmetry
By use of the Lie symmetry group methods we analyze the relationship between the first integrals of the simplest linear third-order ordinary differential equations (ODEs) and their point symmetries. It is well known that there are three classes of linear
K. S. Mahomed, E. Momoniat
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