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
Specification testing for ordinary differential equation models with fixed design and applications to COVID-19 epidemic models. [PDF]
Comput Stat Data Anal, 2023 Liu R, Zhu L.
europepmc +1 more source
CSF Monoamine Metabolites and Cognitive Trajectory in Early Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Imaging and postmortem studies indicate that abnormalities in monoaminergic neurotransmission contribute to cognitive impairment in Parkinson's disease (PD). However, it remains uncertain if cerebrospinal fluid (CSF) monoamine metabolites can serve as biomarkers of cognitive decline in early PD.
Jing‐Yu Shao +7 more
wiley +1 more source
Step-by-step comparison of ordinary differential equation and agent-based approaches to pharmacokinetic-pharmacodynamic models. [PDF]
CPT Pharmacometrics Syst Pharmacol, 2022 Truong VT +5 more
europepmc +1 more source
Elevated Connectivity During Language Processing Is Associated With Cognitive Performance in SeLECTS
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Self‐Limited Epilepsy with Centrotemporal Spikes (SeLECTS) is associated with language impairments despite seizures originating in the motor cortex, suggesting aberrant cross‐network interactions. Here we tested whether functional connectivity in SeLECTS during language tasks predicts language performance.
Wendy Qi +8 more
wiley +1 more source
Fides: Reliable trust-region optimization for parameter estimation of ordinary differential equation models. [PDF]
PLoS Comput Biol, 2022 Fröhlich F, Sorger PK.
europepmc +1 more source
ALDOA Promotes Glycolysis and NLRP3/GSDMD Pyroptosis to Accelerate ALS Progression
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Amyotrophic lateral sclerosis (ALS) is characterized by progressive motor neuron degeneration. Glycolytic dysregulation is implicated in disease progression, yet the underlying mechanisms remain unclear. This study investigates how Aldolase A (ALDOA) drives ALS progression through glycolysis‐mediated motor neuron pyroptosis.
Kaixin Yan +9 more
wiley +1 more source
A nonlinear sparse neural ordinary differential equation model for multiple functional processes. [PDF]
Can J Stat, 2022 Liu Y, Li L, Wang X.
europepmc +1 more source
RNA Sequencing Resolves Cryptic Pathogenic Variants in Mitochondrial Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Mitochondrial diseases are the most common inherited metabolic disorders, characterized by pronounced clinical and genetic heterogeneity that complicates molecular diagnosis. Although DNA‐based sequencing approaches have become standard in genetic testing, up to half of patients remain without a definitive diagnosis.
Zhimei Liu +21 more
wiley +1 more source
AMICI: high-performance sensitivity analysis for large ordinary differential equation models. [PDF]
Bioinformatics, 2021 Fröhlich F +7 more
europepmc +1 more source