Results 131 to 140 of about 1,429,804 (373)
State-delayed matrix differential-difference equations
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openaire +3 more sources
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
Objective Cognitive impairment (CI) is common in patients with systemic lupus erythematosus (SLE). Despite its prevalence, the immune mechanisms are not well understood. We previously reported elevated serum levels of S100A8/A9 and matrix metalloproteinase 9 (MMP‐9) in patients with SLE and CI.
Carolina Muñoz‐Grajales +18 more
wiley +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.
core +1 more source
Systems of Partial Differential Equations for Hypergeometric Functions of Matrix Argument [PDF]
Robb J. Muirhead
openalex +1 more source
Objective Administrative claims are used to evaluate oral glucocorticoid use in rheumatoid arthritis (RA), despite limited evidence to support accuracy. We aimed to evaluate the performance of claims‐based algorithms for glucocorticoid use compared to self‐report in an RA population.
Beth I. Wallace +16 more
wiley +1 more source
Problem for differential-algebraic equations with a significant loads
In this article, the problem for a differential-algebraic equation with a significant loads is studied. Unlike previously studied problems for differential equations with a significant loads, in the considered equation, there is a matrix in the left ...
A.T. Assanova +3 more
doaj +1 more source
Improving the Efficiency of Matrix Operations in the Numerical Solution of Stiff Ordinary Differential Equations [PDF]
W. H. Enright
openalex +1 more source
Objective Foot orthoses are thought to improve pain by potentially modifying internal mechanical forces. To test this, we explored whether foot orthoses can modify patterns of bone marrow lesions (BMLs) in people with midfoot pain. Methods Forty‐two people were recruited with midfoot pain and MRI‐confirmed midfoot BMLs.
Jill Halstead +4 more
wiley +1 more source
Peer Methods for the Solution of Large-Scale Differential Matrix Equations
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

