A Petrov-Galerkin method for a singularly perturbed ordinary differential equation with non-smooth data [PDF]
, 2006 In this paper, a singularly perturbed ordinary differential equation\ud with non-smooth data is considered. The numerical method is\ud generated by means of a Petrov-Galerkin finite element method with\ud the piecewise-exponential test function and the ...
Liu, Fawang, Zheng, Tingting
core
Validity of a Wearable Digital Insole for Assessing Gait ON and OFF in Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Gait impairment is a distinctive symptom of Parkinson's disease that negatively impact mobility. We assessed the validity of wearable digital insoles against a validated reference gait analysis system for measuring select gait characteristics in patients with Parkinson's disease. Methods A comparative analysis between digital insoles
Deborah A. Hall +16 more
wiley +1 more source
Likelihood-ratio test statistic for the finite-sample case in nonlinear ordinary differential equation models. [PDF]
PLoS Comput Biol, 2023 Tönsing C +3 more
europepmc +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown +6 more
wiley +1 more source
Comparison of rule- and ordinary differential equation-based dynamic model of DARPP-32 signalling network. [PDF]
PeerJ, 2022 Wysocka EM +3 more
europepmc +1 more source
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
Existence and uniqueness of a local solution for x' = f(t,x) using inverse functions
Electronic Journal of Differential Equations, 2013 A condition on the function $f$ is given such that the scalar ordinary differential equation $x' = f(t,x)$ with initial condition $x(t_0) = x_0$ has a unique solution in a neighborhood of $t_0$. An example illustrates that this result can be used when
Jeffrey T. Hoag
doaj
A neural ordinary differential equation model for visualizing deep neural network behaviors in multi-parametric MRI-based glioma segmentation. [PDF]
Med Phys, 2023 Yang Z +7 more
europepmc +1 more source
Nonzero Lie Brackets of Third Order Nonlinear Ordinary Differential Equation [PDF]
, 2018 Lie symmetry analysis of Ordinary Differential Equation can be used to obtain exact solution of the equation of the form F (x, y, y’ y’’ y’’’) = 0. In this paper we use Lie Symmetry analysis approach to obtain the nonzero Lie brackets of a nonlinear ...
Ongati, Omolo +2 more
core
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective This analysis evaluates the effect of successful reperfusion on functional outcomes after MT, stratified by admission National Institutes of Health Stroke Scale (NIHSS) and Alberta Stroke Program Early CT Score (ASPECTS) as surrogates for clinical‐core mismatch, using multicenter registry data.
Felix Schlicht +53 more
wiley +1 more source