Results 41 to 50 of about 169,628 (261)
Eigenwavelets of the Wave Equation [PDF]
, 2008 We study a class of localized solutions of the wave equation, called eigenwavelets, obtained by extending its fundamental solutions to complex spacetime in the sense of hyperfunctions. The imaginary spacetime variables y, which form a timelike vector, act as scale parameters generalizing the scale variable of wavelets in one dimension.
openaire +2 more sources
Bézier Solutions of the Wave Equation [PDF]
, 2004 We study polynomial solutions in the Bezier form of the wave equation in dimensions one and two. We explicitly determine which control points of the B´ezier solution at two different times fix the solution.
Beltrán Solsona, José Vicente +1 more
openaire +2 more sources
Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz +3 more
wiley +1 more source
Spiral Waves in Nonlocal Equations [PDF]
SIAM Journal on Applied Dynamical Systems, 2005 Summary: We present a numerical study of rotating spiral waves in a partial integro-differential equation defined on a circular domain. This type of equation has been previously studied as a model for large-scale pattern formation in the cortex and involves spatially nonlocal interactions through a convolution.
openaire +2 more sources
Elevated Connectivity During Language Processing Is Associated With Cognitive Performance in SeLECTS
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Self‐Limited Epilepsy with Centrotemporal Spikes (SeLECTS) is associated with language impairments despite seizures originating in the motor cortex, suggesting aberrant cross‐network interactions. Here we tested whether functional connectivity in SeLECTS during language tasks predicts language performance.
Wendy Qi +8 more
wiley +1 more source
The Fourier Transform and the Wave Equation [PDF]
The American Mathematical Monthly, 2011 We solve the Cauchy problem for the $n$-dimensional wave equation using elementary properties of the Fourier transform.
openaire +2 more sources
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Variants in SLC6A1, encoding the GABA transporter 1 (GAT‐1), cause epilepsy, autism spectrum disorder, and developmental delay via loss of GABA uptake, impaired trafficking, and ER retention. We previously found that 4‐Phenylbutyrate (PBA), an FDA‐approved drug, restores GABA uptake and reduces seizures in SLC6A1‐related disorders ...
Melissa B. DeLeeuw +5 more
wiley +1 more source
Further investigations to extract abundant new exact traveling wave solutions of some NLEEs
Journal of Ocean Engineering and Science, 2019 In this study, we implement the generalized (G′/G)-expansion method established by Wang et al. to examine wave solutions to some nonlinear evolution equations. The method, known as the double (G′/G, 1/G)-expansion method is used to establish abundant new
M. Mamun Miah +3 more
doaj +1 more source
AIMS Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William O. Bray, Ellen Hunter
openaire +2 more sources
Journal of Nonlinear Mathematical Physics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources