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Electroencephalographic Normalization as a Biomarker of Clinical Recovery in Down Syndrome Regression Disorder

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Down syndrome regression disorder is a syndrome characterized by subacute loss of cognitive, behavioral, and functional abilities in individuals with Down syndrome. Electroencephalography abnormalities are frequently observed during evaluation, but it remains unclear whether these findings represent a dynamic marker of disease ...
Jonathan D. Santoro, Mackenzie Silverman, Maeve C. Lucas, Mariam M. Yousuf, Samuel T. Otey, Stella V. Gray, Brittany Jordan, Madeline D. Kahan, Latanya D. Agurs, Michelle Van Hirtum Das, Deborah Holder, Devin King, Eileen A. Quinn, Ryan Kammeyer, Michael S. Rafii   +14 more
wiley   +1 more source

Artifacts, Series, Solutions [PDF]

, 2016
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Series Solutions for Beams on Elastic Foundations

Journal of Applied Mechanics, 1971
In this paper series solutions are derived for beams on elastic foundation, subjected to a variety of end and loading conditions. These series solutions have the following advantages over the “formal” solutions of the differential equations of the corresponding problems: 1.
M. Hete´nyi
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Power series solutions for the KPP equation

Numerical Algorithms, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amin Boumenir, Boumenir Amin
exaly   +3 more sources

Series Solution of Epidemic Model

2022
The present paper is concerned with the approximate analytic series solution of the epidemic model. In place of the traditional numerical, perturbation or asymtotic methods, Laplace-Adomian decomposition method (LADM) is employed. To demonstrate the effort of the LADM an epidemic model, which has been worked on recently, has been solved.
Doğan, N., Akın, Ömer
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Series Solutions of Companding Problems

Bell System Technical Journal, 1983
A formal power series solution (i) x(t) = Σ 1 ∞ mk x k (t) is given for the companding problem (ii) Bf{x(t)} = my(t), B{x(t)} = x(t), where B is the bandlimiting operator defined by Bg = (Bg)(t) = ∫ g(s)[sin λ(t − s)]/[π(t − s)]ds and f(t) has a Taylor series with f(0) = 0, f′(0) ≠ 0. Expressions for the x k are given in terms of the coefficients of f,
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A series solution for the GVψ0 term of the Born series

Applied Mathematics and Computation, 1994
A series representation for the function \(B(k, r):= \frac{i} {2k} \int_{-\infty}^\infty e^{ik|r- r'|} V(r') e^{ik r'} d r'\) is presented, where \(V\) arises as a potential in the differential equation (1) \((\frac{\partial^2} {\partial r^2}+ k^2)\psi (k, r)= V(r)\psi(k, r)\). The function \(B\) represents the second term of the Born series giving the
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Series Solutions

2006
Abstract In this chapter, we investigate a special technique which provides solutions to a wide class of differential equations. Again, we concentrate on the homogeneous linear second-order equation where p  0, p  1, p  2 are continuous functions which we shall suppose throughout this chapter to have no common zeros.
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Solutions to a Problem in Power Series Reversion

SIAM Journal on Mathematical Analysis, 1975
This paper presents the general solution of the following problem in two forms.Let $f(x,y)$ be defined by the formal power series $f(x,y) = \sum _{m = 0}^\infty \sum _{n = 0}^\infty f_{mn} x^m y^n $ with $f_{00} \ne 0$. If v satisfies $v(x,y) = f(xv^a ,yv^b )$, where a and b are constants, then find the formal power series expansion of $v^c(x,y ...
Goldstein, A. J., Hall, A. D.
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A Method of Accelerating the Convergence of Series Solutions

Journal of the Franklin Institute, 1986
The series solutions obtained for transport problems may fail to converge at the boundary if the problem involves non-homogeneities due to the boundary conditions. The authors develop a general splitting-up procedure for obtaining alternative solutions which accelerate the convergence.
Mikhailov, M. D., Özişik, M. N.
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