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
Predicting Loss of Ambulation in Limb Girdle Muscular Dystrophy R9
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Limb girdle muscular dystrophy type R9 (LGMDR9) results from biallelic variants in FKRP. There is limited data to predict loss of ambulation (LOA) among those with LGMDR9. Methods Participants in an ongoing dystroglycanopathy natural history study (NCT00313677) with FKRP variants who had achieved ambulation and were more than 3 ...
Chandra L. Miller +6 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
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu +14 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
Fides: Reliable trust-region optimization for parameter estimation of ordinary differential equation models. [PDF]
PLoS Comput Biol, 2022 Fröhlich F, Sorger PK.
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Effects of Biological Sex and Age on Cerebrospinal Fluid Markers—A Retrospective Observational Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cerebrospinal fluid (CSF) analysis is a key diagnostic tool for neurological diseases. To date, only a few studies have investigated in larger cohorts the effect of age and biological sex on diagnostic markers extracted from CSF. Methods For this retrospective observational study, 4163 CSF findings (2012–2020) were evaluated.
Isabel‐Sophie Hafer +3 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
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
Clustering Algorithm Reveals Dopamine‐Motor Mismatch in Cognitively Preserved Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore the relationship between dopaminergic denervation and motor impairment in two de novo Parkinson's disease (PD) cohorts. Methods n = 249 PD patients from Parkinson's Progression Markers Initiative (PPMI) and n = 84 from an external clinical cohort.
Rachele Malito +14 more
wiley +1 more source