Quantum simulation for time-dependent Hamiltonians -- with applications to non-autonomous ordinary and partial differential equations [PDF]
, 2023 Yu Cao, Shi Jin, Nana Liu
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Age‐Related Characteristics of SYT1‐Associated Neurodevelopmental Disorder
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives We describe the clinical manifestations and developmental abilities of individuals with SYT1‐associated neurodevelopmental disorder (Baker‐Gordon syndrome) from infancy to adulthood. We further describe the neuroradiological and electrophysiological characteristics of the condition at different ages, and explore the associations ...
Sam G. Norwitz +3 more
wiley +1 more source
Semiparametric Mixed-Effects Ordinary Differential Equation Models with Heavy-Tailed Distributions. [PDF]
J Agric Biol Environ Stat, 2021 Liu B, Wang L, Nie Y, Cao J.
europepmc +1 more source
Hospital Readmission After Traumatic Brain Injury Hospitalization in Community‐Dwelling Older Adults
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To examine the risk of hospital readmission after an index hospitalization for TBI in older adults. Methods Using data from the Atherosclerosis Risk in Communities (ARIC) study, we used propensity score matching of individuals with an index TBI‐related hospitalization to individuals with (1) non‐TBI hospitalizations (primary analysis)
Rachel Thomas +7 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
On the characteristic exponent function for a first order ordinary differential equation [PDF]
, 1995 Kurt Munk Andersen, Allan Sandqvist
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Lessons Learned From a Delayed‐Start Trial of Modafinil for Freezing of Gait in Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Freezing of gait (FOG) in people with Parkinson's disease (PwPD) is debilitating and has limited treatments. Modafinil modulates beta/gamma band activity in the pedunculopontine nucleus (PPN), like PPN deep brain stimulation. We therefore tested the hypothesis that Modafinil would improve FOG in PwPD.
Tuhin Virmani +8 more
wiley +1 more source
Existence of periodic solutions for a semilinear ordinary differential equation
Electronic Journal of Differential Equations, 1998 Dancer [3] found a necessary and sufficient condition for the existence of periodic solutions to the equation $$ ddot x +g_1(dot x) + g_0(x) = f(t),.$$ His condition is based on a functional that depends on the solution to the above equation with $g_0=0$.
Petr Girg
doaj
Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron +5 more
wiley +1 more source