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Journal ArticleDOI

The Modified Gauss-Newton Method for the Fitting of Non-Linear Regression Functions by Least Squares

H. O. Hartley
- 01 May 1961 - 
- Vol. 3, Iss: 2, pp 269-280
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TLDR
The experimental scientist is frequently faced with the task of determining the functional relation between a response, y and a number of inputs, x, x2,. * *, x, with the help of empirical data.
Abstract
The experimental scientist is frequently faced with the task of determining the functional relation between a 'response', y and a number of 'inputs', x , x2, . * * , x, with the help of empirical data. Often the mathematical form of the functional relation is assumed to be known and is written in the form of a 'regression function',

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Citations
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Journal ArticleDOI

Calculation of half-lives of proteins in vivo. Heterogeneity in the rate of degradation of yeast proteins.

TL;DR: It is proposed that protein degradation is regulated by a coarse control at the level of protease activity and a fine control on the susceptibility of individual proteins to proteases.
Journal ArticleDOI

Inotropic action, myocardial uptake and subcellular distribution of ouabain, digoxin and digitoxin in isolated rat hearts

TL;DR: The site of action of cardiac glycosides in the rat heart is supposed to be located at the surface membrane of the heart muscle cells.
Journal ArticleDOI

Comparing Growth Patterns of Jack Pine and Black Spruce in Mixed Natural Stands and Plantations

TL;DR: It is suggested that establishing and maintaining desired species at moderate and relatively uniform densities on productive boreal sites can significantly increase yields and shorten the age to operability by nearly 15 y.

LABORATORY INVESTIGATION Interstitial muscle concentrations of rocuronium under steady-state conditions in anaesthetized dogs: actual versus predicted values

TL;DR: In this paper, eight adult male dogs with a body weight ranging from 7 to 18 kg were anaesthetized with pentobarbital and their arterial gradient across the hindlimb was measured at 40, 60, 100 and 120 min.
Journal ArticleDOI

A new algorithm for computing the parameters of linear compartment models in pharmacokinetics

TL;DR: A new algorithm (FADHA) for computing pharmacokinetic parameter estimates has been developped based on the simplex method, which takes into account all the possible observation errors and uses the concept of a weighting function rather than weights as such.
References
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Journal ArticleDOI

A method for the solution of certain non – linear problems in least squares

TL;DR: In this article, the problem of least square problems with non-linear normal equations is solved by an extension of the standard method which insures improvement of the initial solution, which can also be considered an extension to Newton's method.
Book ChapterDOI

On the Experimental Attainment of Optimum Conditions

TL;DR: The work described in this article is the result of a study extending over the past few years by a chemist and a statistician, which has come about mainly in answer to problems of determining optimum conditions in chemical investigations, but they believe that the methods will be of value in other fields where experimentation is sequential and the error fairly small.