Journal ArticleDOI
An eigenfunction expansion method for the analysis of exponential decay curves
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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
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Myosin Motor Domain Lever Arm Rotation Is Coupled to ATP Hydrolysis
TL;DR: The results indicate that for the substrates investigated, rotation does not occur upon substrate binding, but is coupled to the NTP hydrolysis step, which is consistent with a model in which only substrates that produce a motor domain-NDP-P(i) complex as the steady-state intermediate make the motor domain more compact, and only those substrates support force production.
Journal ArticleDOI
Kinetics of quinine-deuterohemin binding
TL;DR: Investigation of the kinetics of the complex formation of quinine with deuterohemin using the temperature jump relaxation method finds evidence from the fast relaxation process that monomeric and dimeric hemin exhibit different reactivity.
Journal ArticleDOI
An exact procedure for the analysis of heterogeneous kinetics in polyclonal antibody populations
James N. Herron,Edward W. Voss +1 more
TL;DR: An analytical method has been developed to determine the average dissociation rate constant and the heterogeneity index of a specific antibody population based on Laplace transformation of the gamma distribution function, which yielded an exact, macroscopic rate law for the entire antibody population.
Journal ArticleDOI
Temperature and orientation dependence of electron spin relaxation in molybdenum(V) porphyrins
TL;DR: In this paper, saturation recovery for three oxo(5,10,15,20-tetratolylporphyrinato)molybdenum(V) complexes, OMo(TTP)X, X=Cl−, OH−, OEt−, were measured by saturation recovery.
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Transition of haemoglobin between two tertiary conformations: Inositol hexakisphosphate increases the transition constant and the affinity of sheep haemoglobin for 5,5'-dithiobis(2-nitrobenzoate).
TL;DR: Results indicate that inositol-P(6) increases the affinity of the sulphydryl for DTNB by increasing the population of the t isomer, suggesting that a minimum four-state model that includes the r-t transition is required for a full understanding of haemoglobin function.
References
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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.