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Abstract  

For the assessment of the analytical error of concentration dependent distribution (CDD), complex-forming separation reaction was proposed in a generalized form of equilibrium
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$ML_{< n > } + + nL \rightleftarrows \overline {ML} _{< \bar n > }$$ \end{document}
, where n is the effective stoichiometric coefficient, i.e. the difference of mean ligand numbers
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$< \bar n >$$ \end{document}
and <n> of a mixture of complexes of analyte M with reagent L in the respective groups (distinguished by bars above the symbols) of the separation system. Calibration curve
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$I = A/\bar A$$ \end{document}
is derived from measurement of gross activity of complexes, A=A(ML<n>) and
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\bar A = A(\overline {ML} _{< \bar n > } )$$ \end{document}
. Theoretical relative error is expressed as a product of three terms,
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\bar R$$ \end{document}
) vs. the analyte; reagent ratio, n(Z+1)/T. The form of slope is analyzed on the basis of the generalized separation reaction. Optimal conditions were discussed from this point of view and the ideal case is at f2=1. The third term f3 depends on the activities A and
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\bar R$$ \end{document}
(0.2;0.8) is suggested
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The sub- and super-equivalence method of isotope dilution

XI. Theoretical curve and theoretical error of the VVC variant

Journal of Radioanalytical and Nuclear Chemistry
Authors: J. Klas, Z. Koreňová, and J. Tölgyessy

Abstract  

The theoretical curve and the theoretical error of the VVC variant of analysis with a simple complex-forming reaction have been studied and outlined. The existence conditions of the isoconcentration point, the interval of parameters in which the relative error of the analysis result is comparable with that of the analytical curve, have been determined. Possibilities of analysis in the quantitative and non-quantitative course of separation reaction are shown.

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Abstract  

The theoretical errors of VCV, CVV variants and its subvariants are outlined and compared to previous study of other variants. Simple complex forming separation reaction is used and optimal conditions for the analysis are discussed.

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Abstract  

Theoretical errors of the VVV variant and its subvariants are outlined and confronted with the earlier study of other variants. Simple complex forming separation reaction is assumed. Optimal conditions of the analysis are discussed.

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The sub-and super-equivalent method of isotope dilution

XII. The theoretical error of the CCV variant

Journal of Radioanalytical and Nuclear Chemistry
Authors: J. Klas, Z. Koreňová, and J. Tölgyessy

Abstract  

The theoretical error of the CCV variant with a simple non-quantitative separation reaction M+LML has been studied. Equations of the relative error are derived and graphs at two regimes of radioactivity measurement of the reaction products are given: (1) for the registration of constant number of disintegrations and (2) for constant registration time of radioactivity measurement. Optimal conditions of analysis are discussed.

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Abstract  

The theoretical error of both the CVC and VCC variants at non-quantitative complex forming reaction M+LML has been studied. The erros of analysis for the following analytical curve determinations are considered: (1) measurement with constant error of the analytical function, (2) measurement with registration of a constant number of disintegrations, (3) measurement at constant time of radioactivity measurement of isolated products. Conditions of isoconcentration point existence are determined. Intervals of parameters at which the relative error of the analysis result is comparable with that of the analytical curve are found out. The optimal conditions of analysis are discussed. Errors of both the CVC and VCC variants are compared with that of the CCV variant. Graphs of the theoretical error of analysis are given. The sub-super equivalent isotope dilution method (SSE IDA) has seven basic variants which can be classified by the CCV, CVC, VCC, VVC, VCV, CVV and VVV codes. The theroretical error of the CCV variant was studied earlier. In the present work, a study of errors of both the CVC and VCC variants is performed and extended to radioactivity measurement regimes that can be easily automated. The radioactive background of measurements is taken into account. Previous results and conclusions are corrected. Erros of both the CVC and VCC variants are compared with that of the CCV variant.

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Abstract  

Cyclic 3, 5-adenosine monophosphate labeled with a radioactive isotope was determined in the 0.05–4.1 pmol.ml–1 concentration range.

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Abstract  

Trace amounts of thyroxine in model samples (160.0 ng.ml–1 and 20.0 ng.ml–1), and thyroxine and 3,5,3-triiodothyronine in blood plasma were determined by sub- superequivalence isotope dilution analysis and radio-immunoassay technique. Hormones were labelled by125I. The separation of antibody-bound hormone from free hormone was performed by ultracentrifugation. The results show higher accuracy of the sub- super-equivalence isotope dilution method over that of radioimunoassay.

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Journal of Radioanalytical and Nuclear Chemistry
Authors: J. Lesný, Z. Korenová, S. Behavá, J. Jagnešáková, O. Rohon, J. Klas, and J. Tölgyessy

Abstract  

Cesium content of radioactive solutions was determined by sub- and super equivalence isotope dilution analysis /SSE IDA/.

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Abstract  

Trace amounts of progesterone were determined by sub- and super-equivalence isotope dilution analysis in model solutions and cow's milk. The samples were labelled with 11--hemi-succinate-/125I/-iodotyrosine methylesther progesterone and the separation of antibody-bound from free hormone was performed by adsorption on carbosorb. RIA-test-PROG M kit /SSR/ was used for reference analysis. The method is suitable for pregnancy testing.

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