Last edited by Shaktilar
Tuesday, May 12, 2020 | History

3 edition of method for the analysis of exponential decay curves. found in the catalog.

method for the analysis of exponential decay curves.

Pentti Paatero

# method for the analysis of exponential decay curves.

## by Pentti Paatero

• 176 Want to read
• 30 Currently reading

Published by Suomalainen tiedeakatemia in Helsinki .
Written in English

Subjects:
• Barium -- Isotopes -- Decay.,
• Numerical calculations.

• Edition Notes

Bibliography: p. [59]-60.

Classifications The Physical Object Series Annales Academiae Scientiarum Fennicae., 319 LC Classifications Q60 .H529 no. 319 Pagination 60 p. Number of Pages 60 Open Library OL4366504M LC Control Number 78458386

The second part of the review article gives an overview and comparison of major numerical techniques of exponential analysis, such as the nonlinear least squares fit, the Prony method, the method. IV. THE EXPONENTIAL FUNCTION. We will consider the exponential function without offset: i.e., f(x)= aebx (4) (See Appendix II for the method of Guggenheim to reduce evenly spaced points of an exponential with offset to an exponential without offset.) Applying (I) to (4) we get the two equations: ∂ Χ2 / ∂a = 0: ∂ Χ2 / ∂b = 0.

Home › Forums › Coking › Decay Curve Analysis This topic contains 4 replies, has 3 voices, and was last updated by calvin gao 10 months ago. Author Posts Octo at pm # Tushar Participant Any one has idea how to find Decay Curve for the Delayed Coker if one not available from design books? It is utilize to calculate what % of the normal flow from the Coke Drums. Recently, multi-exponential curve fitting analysis of oxygen-quenched phosphorescence decay traces, in combination with the Stern–Volmer equation, has been applied in several studies investigating microvascular and interstitial pO 2 distributions in healthy and diseased by:

CGN - Computer Methods Gurley Numerical Methods Lecture 5 - Curve Fitting Techniques page 91 of 99 We started the linear curve fit by choosing a generic form of the straight line f(x) = ax + b This is just one kind of function. There are an infinite number of generic forms we could choose from for almost any shape we want. In all other analysis procedures set this parameter equal to the absolute magnitude of the allowable elastic slip to be used in the stiffness method for sticking friction. If this parameter is omitted, the elastic slip (or elastic slip velocity) is defined by the SLIP TOLERANCE value.

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### Method for the analysis of exponential decay curves by Pentti Paatero Download PDF EPUB FB2

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.

The Fourier method's usual serious practical limitation of needing high accuracy data over a very wide range is eliminated by the introduction of convergence Cited by: analysis of multicomponent radioactive decay curves, and in the study of the dielectric properties of certain compounds.

This paper is concerned with the numerical evaluation of a mathematical approach to the problem. The approach is based on the inversion of the Laplace integral equation by a method of Fourier Size: KB.

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

A FOURIER METHOD FOR THE ANALYSIS OF EXPONENTIAL DECAY CURVES S. CHER FromtheMax-Planck-Institutfjrbiophysikalische Chemie, D Gottingen-Nikolaus-berg, FederalRepublicofGermany ABSTRACT Amethod based on the Fourier convolution theorem is developed for the analysis of data composed of random noise, plus an unknown constant "base.

MATHEMATICAL BIOSCIEN () A New Method for the Analysis of Sums of Exponential Decay Curves T. LIN AND J. DUTT G. Searle & Co., P.O.

BoxChicago, Illinois Communicated by R. Vasudevan ABSTRACT A method based on Fourier Transform is presented for the representation of data by an arbitrary sum of exponentials or Gaussian by: 5. in order to estimate the physically significant parameters N i and λ problems arise, for example, in the analysis of multicomponent radioactive decay curves, and in the study of the dielectric properties of certain compounds.

This paper is concerned with the numerical evaluation of a Cited by: A Fourier method for the analysis of exponential decay curves.

| Semantic Scholar 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.

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. ANALYSIS OF EXPONENTIAL DECAY CURVES ITERATIVE METHODS The nonlinear least-squares methods are general iterative error minimization methods that are commonly implemented by computer.

The particular form used in this study is based on the Marquardt or Levenberg [I1] schemes which are quite by: The contributions of cascades to multi-exponential decay curves are analysed. We define the quantitative cascade contribution to an exponential decay as the replenishment ratio, which is the ratio of the cascade repopulation rate to the decay depopulation recommend that this ratio be quoted in future papers on beam-foil or other cascade-affected decay measurements.

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 Cited by: Title: A Fourier method for the analysis of exponential decay curves: Authors: Provencher, S.

Publication: Biophysical Journal, vol. 16, issue 1, pp. The analysis of decay curves by the fitting of sums of positive exponentials by the S-exponential sum method of Cantor and Evans is considered.

The method has significant advantages over previous methods in guaranteeing the uniqueness of the derived set of positive amplitude exponentials, which provide the best weighted least-squares fit to the data, and in not requiring prior estimates of the number or the values of the decay.

For fitting multi-exponential decay curves to experimental data, many methods of data analysis have been proposed and used in practice, a good overview of which can be found in Ref.

[4].Cited by: A computational procedure is described for the analysis of fluorescence decay data convolved with a lamp flash of finite width. The computer program calculates the ratio of the Laplace transforms of the decay and the lamp flash for different values of s to give the transforms of Cited by: Abstract.

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.

Maximum likelihood method for the analysis of time-resolved fluorescence decay curves. European Biophysics Journal20 (5), DOI: /BFCited by: A Fourier method for the analysis of exponential decay curves. Provencher SW. 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 by: Here we explored the use of exponential decay nonlinear regression analysis (EDNRA) in assessing patient overall survival (OS), progression-free survival (PFS) or relapse-free survival (RFS) curves, and examined the impact of treatment methods and stage on curve characteristics and inflection by: 7.

Various mathematical methods (MM) have been proposed for analysis of platelet survival curves (SC) and the estimation of mean platelet survival time (PT).

The authors compared 8 different MM for estimation PT, and a variance shape factor (S) for assessment of the shape of the survival curve, in various clinical situations. CHARGE AND DISCHARGE OF A CAPACITOR Capacitor Discharging Figure 3.

Capacitor Charging Figure 4. THE EXPONENTIAL The exponential voltage function, which is derived from equation (1), V(t) V (2) o e t-is shown in Figure 3.

It has a slope (rate of change) which is proportional to the value of the function (V) no matter where you are on the Size: KB.Single exponential ﬁt Since the image sequences are necessarily acquired with a ﬁnite integration time (= camera exposure time), the ﬁtted intensity data for each pixel i(yc;i) represent an integration over time (t) of a single exponential decay curve with decay time constant ˝, pre-exponential factor and aCited by: 7.The second part of the review article gives an overview and comparison of major numerical techniques of exponential analysis, such as the nonlinear least squares fit, the Prony method, the method Author: Csaba Huszty.