Application of Differential Equations in Enzyme Kinetics
This paper discusses the application of simplified differential transformation method in the solution of nonlinear differential equations and the application of characteristic set method in the analysis of enzyme dynamic system.
Caihong Fan, Ping Li, Yingzhen Xue
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Nerve Excitability in Asymptomatic Carriers and Amyotrophic Lateral Sclerosis Patients With C9orf72
ABSTRACT Objective We investigated the effects of C9orf72 mutation carriership on peripheral nerve excitability in asymptomatic individuals from families with a history of C9orf72 amyotrophic lateral sclerosis (ALS) and patients. Methods We included 47 asymptomatic individuals from families with a history of C9orf72 ALS, of whom 23 were carriers (C9 ...
Diederik J. L. Stikvoort García +3 more
wiley +1 more source
Matrix generalizations of integrable systems with Lax integro-differential representations
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
We prove necessary and sufficient conditions for $\Psi -$ (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation.
Aurel Diamandescu
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On matrix majorants and minorants, with applications to differential equations
AbstractSome tools of linear algebra are collected and developed for potential use in the analysis of stiff differential equations. Bounds for the triangular factors of a large matrix are given in terms of the triangular factors of an associated “minorant” matrix of lower order.
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ABSTRACT Objective Epilepsy is increasingly associated with immune dysregulation and inflammation. The T cell receptor (TCR), a key mediator of adaptive immunity, shows repertoire alterations in various immune‐mediated diseases. The unique TCR sequence serves as a molecular barcode for T cells, and clonal expansion accompanied by reduced overall TCR ...
Yong‐Won Shin +12 more
wiley +1 more source
Puzzles in pipes with negative curvature: from the Webster PDE to stable numerical simulation in real time [PDF]
Minimal realizations of a class of delay-differential systems are derived for the digital simulation of waveguides, modelled by the Webster horn equation. Studying their stability is an interesting issue, since negative curvatures could lead to unstable
Hélie, Thomas +2 more
core +1 more source
Differential equations and matrix inequalities on isospectral families
The author develops a set of inequalities that bounds the size of \(\langle[X, N],[X,M]\rangle\) in terms of eigenvalues of skew-Hermitian matrices \(X\), \(M\) and \(N\). These results apply to elements of matrix Lie algebras.
openaire +2 more sources
Exosome Proteomics of SOD1D90A Mutation Suggest Early Disease Mechanisms, and FN1 as a Biomarker
ABSTRACT Amyotrophic lateral sclerosis (ALS) is a neuromuscular disease. Super oxide dismutase 1 (SOD1) gene mutations cause ALS, and the D90A mutation is associated with primarily upper motor neuron (UMN) loss. Objective Our goal is to reveal the early cellular events in ALS pathology and identify potential pharmacokinetic biomarkers, using well ...
Mukesh Gautam +6 more
wiley +1 more source
Extrapolation methods for first order ordinary differential equations [PDF]
Given a system of fist order differential equations, whose coefficient matrix has constant elements, with initial conditions specified, a family of extrapolating algorithms based on Pade approximants to the exponential function is developped.
Twizell, E H
core

