Results 71 to 80 of about 5,027,539 (269)

ON INTERPOLATING POWER SERIES

, 2014
We derive a simple error estimate for equally spaced, polynomial interpolation of power series that does not require the uniform bounds on derivatives of the Cauchy remainder. The key steps are expressing Newton coefficients in terms of Stirling numbers S(i, j) of the second kind and applying the concavity of ln S(i, j).
openaire   +2 more sources

The cooperative regulation of miR‐221 by APE1 and AUF1 impacts p27Kip1 defining a miR signature relevant for cervical cancer

FEBS Open Bio, EarlyView.
A regulatory axis involving APE1, AUF1, and miR‐221 is proposed. Pri‐miR‐221 is processed by DROSHA and DICER to generate mature miR‐221, which targets p27Kip1 mRNA. APE1 and AUF1 compete for pre‐miR‐221 binding. Reduced APE1/AUF1 levels impair miR‐221 biogenesis, decrease p27Kip1 mRNA degradation, and promote cell cycle progression, chemoresistance ...
Matilde Clarissa Malfatti, Nicolò Gualandi, Gianluca Tell, Giulia Antoniali   +3 more
wiley   +1 more source

Digital twins to accelerate target identification and drug development for immune‐mediated disorders

FEBS Open Bio, EarlyView.
Digital twins integrate patient‐derived molecular and clinical data into personalised computational models that simulate disease mechanisms. They enable rapid identification and validation of therapeutic targets, prediction of drug responses, and prioritisation of candidate interventions.
Anna Niarakis, Philippe Moingeon
wiley   +1 more source

Solution of a Two-Dimensionel Problem on the Motion of a Heat Wave Front with the use of Power Series and the Boundary Element Method

Известия Иркутского государственного университета: Серия "Математика", 2016
The paper discusses a nonlinear parabolic equation describing the process of heat conduction for the case of the power dependence of the heat conductivity factor on temperature.
A. Kazakov, L. F. Spevak, O. A. Nefedova
doaj  

Exact Parametric and Semi-Analytical Solutions for the Rucklidge-Type Dynamical System

Mathematics
The behavior of the Rucklidge-type dynamical system was investigated, providing some semi-analytical solutions, in this paper. This system was analytically investigated by means of the Optimal Auxiliary Functions Method (OAFM) for two cases.
Remus-Daniel Ene, Nicolina Pop, Rodica Badarau   +2 more
doaj   +1 more source

APPLICATIONS AND DEVELOPMENT OF A NEW VOLTERRA SCHEME FOR SOLVING NONLINEAR INTEGRAL EQUATIONS [PDF]

Matrix Science Mathematic
Volterra integral equations (VIEs) are extensively utilized across scientific, technological and engineeringdisciplines for modeling systems influenced by past behaviors or interactions.
Ishaq A.A., Ayinde A.M, Jimoh F.M, Bello A.K.   +3 more
doaj   +1 more source

Large‐scale bidirectional arrayed genetic screens identify OXR1 and EMC4 as modifiers of αSynuclein aggregation

FEBS Open Bio, EarlyView.
Activation of the mitochondrial protein OXR1 increases pSyn129 αSynuclein aggregation by lowering ATP levels and altering mitochondrial membrane potential, particularly in response to MSA‐derived fibrils. In contrast, ablation of the ER protein EMC4 enhances autophagic flux and lysosomal clearance, broadly reducing α‐synuclein aggregates.
Sandesh Neupane, Lea Nikolić, Lorenzo Maraio, Thomas Goiran, Nathan Karpilovsky, Stefano Sellitto, Vangelis Bouris, Jiang‐An Yin, Ronald Melki, Edward A Fon, Adriano Aguzzi, Elena De Cecco   +11 more
wiley   +1 more source

An Improved Analytical Approximation of the Bessel Function J₂(x)

Axioms
In this paper, we derive an analytical and explicit approximation for the Bessel function J2(x) for positive real x with a maximum absolute error of approximately 0.004, which refines some new published analytic approximation.
Mansour Mahmoud, Hanan Almuashi
doaj   +1 more source

THE MODEL OF THE RADIAL-THRUST BALL BEARING FOR ANALYSIS OF NONLINEAR VIBRATIONS OF THE ROTOR [PDF]

Avtomobilʹnyj Transport (Harʹkov), 2015
The non-linear model of resilient forces of pre-loaded ball bearing is developed. The contact forces are obtained and arranged in the Heyn’s row on the basis of Herts theory.
S. Filipkovskyi
doaj  

Power series expansions of arbitrary order functional difference equations [PDF]

Notes on Number Theory and Discrete Mathematics
This paper looks at some real and complex generalizations of power series associated with some arbitrary order functional difference equations considered as generalizations and extensions of Fibonacci and Lucas numbers.
Anthony G. Shannon, Omür Deveci, Özgür Erdağ   +2 more
doaj   +1 more source