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
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
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Oscillation of Fourth-Order Functional Differential Equations with Distributed Delay
Axioms, 2019 In this paper, the authors obtain some new sufficient conditions for the oscillation of all solutions of the fourth order delay differential equations.
Clemente Cesarano, Omar Bazighifan
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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
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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.
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Geometry of Stochastic Delay Differential Equations
Electronic Communications in Probability, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Catuogno, Pedro, Ruffino, Paulo
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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
Peculiar spline collocation method for solving rough and stiff delay differential problems
Journal of Numerical Analysis and Approximation Theory, 2004 As well known, solutions of delay differential equations (DDEs) are characterized by low regularity. In particular solutions of neutral delay differential equations (NDDEs) frequently exhibit discontinuities in the first derivative so that the ...
F. Calio, E. Marchetti, R. Pavani
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Nonlinear delay differential equations and their application to modeling biological network motifs. [PDF]
Nat Commun, 2021 Glass DS, Jin X, Riedel-Kruse IH.
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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
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