Results 211 to 220 of about 274,225 (273)

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Analytical Solutions for the Cardiac Extracellular‐Membrane‐Intracellular Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The cardiac extracellular‐membrane‐intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The cardiac EMI model provides a more detailed description of the heart's electrical activity compared to traditional monodomain and bidomain models, potentially making it better‐suited for understanding the
Carlos Ballesteros, Alexei Cheviakov, Raymond J. Spiteri   +2 more
wiley   +1 more source

Double BFV Quantisation of 3D Gravity. [PDF]

Commun Math Phys
Canepa G, Schiavina M.
europepmc   +1 more source

Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley   +1 more source

Inference of weak-form partial differential equations describing migration and proliferation mechanisms in wound healing experiments on cancer cells. [PDF]

PLoS Comput Biol
Srivastava S, Kinnunen PC, Wang Z, Ho KKY, Humphries BA, Chen S, Linderman JJ, Luker GD, Luker KE, Garikipati K.   +9 more
europepmc   +1 more source

The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos, Antonios Charalambopoulos   +1 more
wiley   +1 more source

Enhancing image based classification for crop disease detection using a multiclass SVM approach with kernel comparison. [PDF]

Sci Rep
Sridhar P, Angamuthu P.
europepmc   +1 more source

Spatiotemporal Encoding With Nonlinear Gradient Hardware Using Pulseq: From Principles to Practical Demonstration

Magnetic Resonance in Medicine, EarlyView.
Purpose Provide the theoretical foundation and the first practical demonstration of spatiotemporal encoding (SPEN) using additional nonlinear gradient hardware. Methods The quadratic phase profile can be generated either by a chirped‐RF pulse combined with a constant gradient or, directly, by a quadratic gradient pulse.
Andreas Holl, Frank Zijlstra, Maxim Zaitsev, Jakob Hufschmidt, Shadi Tashakori, Nils Schallner, Thomas Stieglitz, Jens Gröbner, Sebastian Littin   +8 more
wiley   +1 more source

Rotatum of light. [PDF]

Sci Adv
Dorrah AH, Palmieri A, Li L, Capasso F.
europepmc   +1 more source