Journal ArticleDOI
An eigenfunction expansion method for the analysis of exponential decay curves
Reads0
Chats0
TLDR
In this article, a method is developed for the analysis of data composed of random noise, plus an unknown constant "baseline", plus a sum (or an integral over a continuous distribution) of exponential decay functions.Abstract:
A method is developed for the analysis of data composed of random noise, plus an unknown constant ’’baseline,’’ plus a sum (or an integral over a continuous distribution) of exponential decay functions. It is based on the expansion of the solution of a Fredholm integral equation of the first kind in the eigenfunctions of the kernel. In contrast to the Fourier transform solution [Gardner et al., J. Chem. Phys. 31, 978 (1959)], the finite time range of the data is exactly accounted for, and no extrapolation or iteration is necessary. A computer program is available for the analysis of sums of exponentials. It is completely automatic in that the only input are the data (not necessarily in equal intervals of time); no potentially biased initial estimates of either the number or values of the amplitudes and decay constants are needed. These parameters and their standard deviations are decided with a linear hypothesis test corrected approximately for nonlinearity. Tests with simulated two‐, three‐, and four‐com...read more
Citations
More filters
Journal ArticleDOI
The composition dependence of activation energy in the Asx-Te100-x and As2Te3 + Tlx glassy systems
V. Cháb,L. Štourač,B. Velický +2 more
TL;DR: In this article, the authors investigated the dependence of carrier activation energies calculated from the temperature characteristics of the thermoelectric power and the dc conductivity on the changing composition in the binary and ternary glassy systems based on As-Te.
Journal ArticleDOI
Determination of "active" cytochrome P-450 from relaxation kinetics of product formation.
U Schröder,H Diehl +1 more
TL;DR: An application of the model to the O-deethylation of 7-ethoxycoumarin reveals that — in a time average — 10%–15% of the spectroscopically detectable cytochrome P-450 is involved in that transformation.
Book ChapterDOI
A New Hybrid Method for Analysis of Multiexponential T2 Relaxation Processes in NMR Images
Journal ArticleDOI
Beam-Foil Study of the 2s02p4 3P Level of N+
TL;DR: In this article, three lines classified by Dumont et al. as originating from the common upper level 1s22s02p4 3P in N+ have been remeasured with greater accuracy.
Journal Article
Investigation of Ethanol–Peptide and Water–Peptide Interactions through Intermolecular Nuclear Overhauser Effects and Molecular Dynamics Simulations B
TL;DR: Simulation of solvent-solute intermolecular nuclear Overhauser effects on NMR (nuclear magnetic resonance) signals of [val5]angiotensin dissolved in 35% ethanol-water suggests that conformations of the peptide are adequately sampled by simulations of up to 0.6 μs duration.
References
More filters
Journal ArticleDOI
Handbook of Mathematical Functions
Journal ArticleDOI
A Fourier method for the analysis of exponential decay curves
TL;DR: A method based on the Fourier convolution theorem is developed for the analysis of data composed of random noise, plus an unknown constant "base line," plus a sum of (or an integral over a continuous spectrum of) exponential decay functions.
Journal ArticleDOI
Method for the Analysis of Multicomponent Exponential Decay Curves
TL;DR: In this article, a mathematical approach based on the inversion of the Laplace integral equation by a method of Fourier transforms was proposed to estimate the physically significant parameters Ni and λi. The results of the analysis appeared in the form of a frequency spectrum.