The clinical spectrum of SMA‐PME and in vitro normalization of its cellular ceramide profile
Abstract Objective The objectives of this study were to define the clinical and biochemical spectrum of spinal muscular atrophy with progressive myoclonic epilepsy (SMA‐PME) and to determine if aberrant cellular ceramide accumulation could be normalized by enzyme replacement.
Michelle M. Lee+16 more
wiley +1 more source
Fully nonlocal stochastic control problems with fractional Brownian motions and Poisson jumps
In this paper, we establish a representation of mild solutions to fully nonlocal stochastic evolution problems. Through the iterative technique and energy estimates, we obtain the existence and uniqueness of mild solution.
Yongqiang Fu, Lixu Yan
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Abstract Objectives Early‐ and late‐onset Alzheimer's disease (EOAD and LOAD) share the same neuropathological traits but show distinct cognitive features. We aimed to explore baseline and longitudinal outcomes of global and domain‐specific cognitive function in a well characterized cohort of patients with a biomarker‐based diagnosis.
Adrià Tort‐Merino+16 more
wiley +1 more source
Heat equation with general stochastic measure colored in time
A stochastic heat equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure $d\mu (t)$ is investigated in this paper. For the integrator μ, we assume the σ-additivity in probability only. The existence, uniqueness, and Hölder regularity
Vadym Radchenko
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Averaging principle for the one-dimensional parabolic equation driven by stochastic measure
A stochastic parabolic equation on $[0,T]\times \mathbb{R}$ driven by a general stochastic measure is considered. The averaging principle for the equation is established. The convergence rate is compared with other results on related topics.
Boris Manikin
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Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations [PDF]
We study the existence and uniqueness of mild solution of a class of nonlinear fractional integrodifferential equations dqu(t)/dtq+Au(t)=f(t,u(t))+∫0ta(t−s)g(s,u(s))ds, t∈[0,T], u(0)=u0, in a Banach space X, where 0<q<1. New results are obtained by fixed point theorem.
Fang Li, Gaston M. N’Guérékata
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A transient inflammatory response contributes to oxaliplatin neurotoxicity in mice
Abstract Objectives Peripheral neuropathy is a relevant dose‐limiting adverse event that can affect up to 90% of oncologic patients with colorectal cancer receiving oxaliplatin treatment. The severity of neurotoxicity often leads to dose reduction or even premature cessation of chemotherapy.
Aina Calls+9 more
wiley +1 more source
Mild solutions of semilinear elliptic equations in Hilbert spaces
This paper extends the theory of regular solutions ($C^1$ in a suitable sense) for a class of semilinear elliptic equations in Hilbert spaces. The notion of regularity is based on the concept of $G$-derivative, which is introduced and discussed. A result of existence and uniqueness of solutions is stated and proved under the assumption that the ...
Federico, Salvatore, Gozzi, Fausto
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Recognizing early MRI signs (or their absence) is crucial in diagnosing metachromatic leukodystrophy
Abstract Objectives Metachromatic leukodystrophy (MLD) has characteristic white matter (WM) changes on brain MRI, which often trigger biochemical and genetic confirmation of the diagnosis. In early or pre‐symptomatic disease stages, these typical MRI changes might be absent, hampering early diagnosis.
Daphne H. Schoenmakers+7 more
wiley +1 more source
Second order evolutionary partial differential variational-like inequalities
This work is dedicated to the study of a second order evolutionary partial differential variational-like inequality in Banach space. We obtain the mild solution of our problem by applying the concept of strongly continuous cosine family of bounded linear
Imran Ali+4 more
doaj +1 more source