Results 51 to 60 of about 2,566,738 (350)
ABSTRACT Background Bladder dysfunction affects over 85% of people with multiple sclerosis (PwMS), yet current assessment methods are limited to periodic in‐clinic evaluations or subjective patient reports, failing to capture real‐world symptom fluctuations.
Valerie J. Block+8 more
wiley +1 more source
Using Semi-Analytic Method to Decreasing Dangers of Lead
The aim of this paper is to present a method for solving of system of first order initial value problems of ordinary differential equation by a semi-analytic technique with constructing polynomial solutions for decreasing dangers of lead.
L. N. M. Tawfiq, M. N. M. Tawfiq
doaj
In this paper, we extend a reliable modification of the Adomian decomposition method presented in [34] for solving initial value problem for fractional differential equations.In order to confirm the applicability and the advantages of our approach, we ...
Neda Khodabakhshi+3 more
semanticscholar +1 more source
Time‐Frequency Fingerprint Analysis in SEEG Source‐Space to Identify the Epileptogenic Zone
ABSTRACT This case study highlights the application of seizure fingerprint analysis in the source‐space of stereo‐EEG (SEEG) data to accurately localize the epileptogenic zone (EZ) in patients with complex cortical malformations. A 25‐year‐old female with extensive bilateral perisylvian polymicrogyria (PMG) presented with intractable focal seizures ...
Yash Shashank Vakilna+10 more
wiley +1 more source
Initial Value Problem and Global Homeomorphisms [PDF]
This article is devoted to analysis in details of relations between solutions to the operator equation (1) \(f(x) = y\) with a smooth \(f\) and invertible \(f'(x)\) and integral curves to Waẑewski's differential equation \(x' = f'(x)^{-1} V\) \((v = y - f(x_0))\) with the initial value \(x(0) = x_0\).
openaire +2 more sources
The initial value problem for ordinary differential equations with infinitely many derivatives [PDF]
We study existence, uniqueness and regularity of solutions for ordinary differential equations with infinitely many derivatives such as (linearized versions of) nonlocal field equations of motion appearing in particle physics, nonlocal cosmology and ...
P. Górka, H. Prado, E. Reyes
semanticscholar +1 more source
Timing and Predictive Value of Clinical Conditions Preceding Multiple Sclerosis in the UK Biobank
ABSTRACT Objectives Multiple sclerosis (MS) patients often experience a higher incidence of clinical conditions before diagnosis, suggesting a prodromal phase. However, their predictive value and temporal trajectories remain underexplored. We investigated these aspects using the large UK Biobank's population‐based cohort, which provided clinical ...
Andrea Nova+5 more
wiley +1 more source
Note on a discrete initial value problem from a competition
The following discrete initial value problem x n + 1 = x n ( x n − 1 2 − 2 ) − x 1 , n ∈ N , $$ x_{n+1}=x_{n}\bigl(x_{n-1}^{2}-2 \bigr)-x_{1},\quad n\in {\mathbb{N}}, $$ x 0 = 2 $x_{0}=2$ and x 1 = 5 / 2 $x_{1}=5/2$ , appeared at an international ...
Stevo Stević
doaj +1 more source
Functional characteristic initial value problems
The authors study the hyperbolic equations with delays \(\sigma\) and \(\tau\) of the form \[ u_{xy}\pm f(x,y,u(x-\sigma,y-\tau))=0, \] with characteristic initial data \(u(x,y)=\phi (x,y)\) if \(-\sigma \leq ...
D. A. Georgiou, Kurt Kreith
openaire +2 more sources
ABSTRACT Objective Spinal muscular atrophy (SMA) significantly impacts motor function. This study aimed to assess the persistent burden and unmet needs among currently treated patients with SMA and their caregivers. Methods Two complementary web‐based surveys were distributed in August 2024 among patients with SMA and their caregivers.
Julie A. Parsons+8 more
wiley +1 more source