Higher order parallel splitting methods for parabolic partial differential equations
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
core
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
An oscillation theorem for a second order nonlinear differential equations with variable potential
Electronic Journal of Differential Equations, 2009 We obtain a new oscillation theorem for the nonlinear second-order differential equation $$ (a(t)x'(t))' + p(t)f(t, x(t), x'(t))+ q(t)g(x(t))=0,quad tin [0,infty), $$ via the generalization of Leighton's variational theorem.
Jagmohan Tyagi
doaj
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Facioscapulohumeral muscular dystrophy (FSHD) is one of the most debilitating and common muscular dystrophies. Despite its severity, no approved therapy exists for FSHD patients. However, several therapeutic candidates are currently under development, and some have recently entered clinical trials, marking the need for reliable ...
Mustafa Bilal Bayazit +11 more
wiley +1 more source
Forecasting virus outbreaks with social media data via neural ordinary differential equations. [PDF]
Sci Rep, 2023 Núñez M +3 more
europepmc +1 more source
Spectral theory for systems of ordinary differential equations with distributional coefficients [PDF]
, 2019 Ahmed Ghatasheh, Rudi Weikard
openalex +1 more source
Uncovering G Protein‐Coupled Receptors: Novel Targets and Biomarkers for Predicting Glioma Prognosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Low‐grade gliomas (LGG) exhibit significant heterogeneity and recurrence risk. G protein‐coupled receptors (GPCR) contribute to glioma malignant progression, but their prognostic value remains unclear. This work attempts to formulate a GPCR‐based outcome‐predicting model for LGG. Methods Based on TCGA LGG data, the enrichment scores
Jun Yang +4 more
wiley +1 more source
Hazard-based distributional regression via ordinary differential equations. [PDF]
Stat Methods Med ResA Christen J, J Rubio F.
europepmc +1 more source
Time-aware neural ordinary differential equations for incomplete time series modeling. [PDF]
J Supercomput, 2023 Chang Z +5 more
europepmc +1 more source
Oscillation criteria for second order linear systems of ordinary differential equations [PDF]
, 2019 G. A. Grigorian
openalex