Results 111 to 120 of about 815,798 (337)
Matrix generalizations of integrable systems with Lax integro-differential representations
Karpatsʹkì Matematičnì Publìkacìï, 2012 We found matrix integro-differential Lax representations forDavey-Stewartson systems (DS-I, DS-II, DS-III), (2+1)-dimensionalgeneralizations of Chen-Lee-Liu equation and its higher symmetries.In particular, we obtain (2+1)-dimensional generalizations ...
Sydorenko Yu.M., Chvartatskyi O.I.
doaj
On $\Psi$-stability of nonlinear Lyapunov matrix differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2009 We prove necessary and sufficient conditions for $\Psi -$ (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation.
Aurel Diamandescu
doaj +1 more source
Explicit formulas for determinantal representations of the Drazin\n inverse solutions of some matrix and differential matrix equations [PDF]
, 2013 Ivan Kyrchei
openalex +1 more source
Transformation matrices between non-linear and linear differential equations [PDF]
In the linearization of systems of non-linear differential equations, those systems which can be exactly transformed into the second order linear differential equation Y"-AY'-BY=0 where Y, Y', and Y" are n x 1 vectors and A and B are constant n x n ...
Sartain, R. L.
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives To evaluate the utility of cerebrospinal fluid (CSF) biomarkers—matrix metalloproteinase‐9 (MMP‐9), tissue inhibitor of metalloproteinases‐1 (TIMP‐1), the MMP‐9/TIMP‐1 ratio, and osteopontin (OPN)—as indicators of blood–brain barrier (BBB) integrity and disease activity in people with relapsing–remitting multiple sclerosis (pwMS ...
Ivan Pavlovic +6 more
wiley +1 more source
Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron +5 more
wiley +1 more source
Maximum likelihood inference for multivariate delay differential equation models
Scientific ReportsThe maximum likelihood inference framework for delay differential equation models in the multivariate settings is developed. The number of delay parameters is assumed to be one or more.
Ahmed Adly Mahmoud +6 more
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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
Peer Methods for the Solution of Large-Scale Differential Matrix Equations
, 2018 We consider the application of implicit and linearly implicit (Rosenbrock-type) peer methods to matrix-valued ordinary differential equations. In particular the differential Riccati equation (DRE) is investigated.
Benner, Peter, Lang, Norman
core
Whole‐Body Pattern of Muscle Degeneration and Progression in Sarcoglycanopathies
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To characterize whole‐body intramuscular fat distribution pattern in patients with sarcoglycanopathies and explore correlations with disease severity, duration and age at onset. Methods Retrospective, cross‐sectional, multicentric study enrolling patients with variants in one of the four sarcoglycan genes who underwent whole‐body ...
Laura Costa‐Comellas +39 more
wiley +1 more source