Modified wavelets–based algorithm for nonlinear delay differential equations of fractional order
Advances in Mechanical Engineering, 2017 Most of the physical phenomena located around us are nonlinear in nature and their solutions are of great significance for scientists and engineers. In order to have a better representation of these physical phenomena, fractional calculus is developed ...
Muhammad Asad Iqbal +3 more
doaj +1 more source
Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID-19. [PDF]
Math Methods Appl Sci, 2022 Guglielmi N, Iacomini E, Viguerie A.
europepmc +1 more source
Noncontinuable Solutions of Differential-Delay Equations [PDF]
Proceedings of the American Mathematical Society, 1969 (4) F I is bounded on [to, T] X C" for each to, T and each A > 0. Condition (4) usually holds for equations that appear in the literature. It is stated here to emphasize that the theory of continuability of solutions can be fairly natural when (4) is assumed: Let x be a noncontinuable solution on [to, T) of (1), where to-q Rd is continuous.
openaire +1 more source
Association Between Motor Pathway Damage and Motor Deficit in Upper and Lower Limb in People With MS
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Corticospinal tract damage is common in people with MS, but the degree of clinical symptoms varies. We hypothesize that corticospinal tract lesions are more extensive and severe in people with MS with motor impairments in both upper and lower limbs.
Mathilde Liffran +13 more
wiley +1 more source
Modelling inflammatory biomarker dynamics in a human lipopolysaccharide (LPS) challenge study using delay differential equations. [PDF]
Br J Clin Pharmacol, 2022 Liu F +6 more
europepmc +1 more source
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
Nonlinear delay differential equations and their application to modeling biological network motifs. [PDF]
Nat Commun, 2021 Glass DS, Jin X, Riedel-Kruse IH.
europepmc +1 more source
Generic Oscillations for Delay Differential Equations
Journal of Mathematical Analysis and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cahlon, Baruch, Schmidt, Darrell
openaire +1 more source
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
Stability implications of delay distribution for first-order and second-order systems [PDF]
, 2009 In application areas, such as biology, physics and engineering, delays arise naturally because of the time it takes for the system to react to internal or external events.
Gabor Kiss +4 more
core +1 more source