A procedure for analysis of densitometric spectra

Quantitative analysis of electrophoresis data: novel curve fitting methodology and its application to the determination of a protein-DNA binding constant

A computer program, GelExplorer, which uses a new methodology for obtaining quantitative information about electrophoresis has been developed. It provides a straightforward, easy-to-use graphical interface, and includes a number of features which offer significant advantages over existing methods for quantitative gel analysis. The method uses curve fitting with a nonlinear least-squares optimization to deconvolute overlapping bands. Unlike most curve fitting approaches, the data is treated in two dimensions, fitting all the data across the entire width of the lane. This allows for accurate determination of the intensities of individual, overlapping bands, and in particular allows imperfectly shaped bands to be accurately modeled. Experiments described in this paper demonstrate empirically that the Lorentzian lineshape reproduces the contours of an individual gel band and provides a better model than the Gaussian function for curve fitting of electrophoresis bands. Results from several fitting applications are presented and a discussion of the sources and magnitudes of uncertainties in the results is included. Finally, the method is applied to the quantitative analysis of a hydroxyl radical footprint titration experiment to obtain the free energy of binding of the lambda repressor protein to the OR1 operator DNA sequence.

A large-scale processing of kinetic data files with derivation of the inhibitory constant Ki: an application to proline isomerases

An integral system of algorithms (file preprocessor + the adapted KORE program + the Powell non-linear least-squares minimizer) named KINMIN is described. This system was applied to simultaneously process a large number of kinetic data files for cis/trans isomerization of Xaa-Pro bonds in synthetic peptides catalysed by peptidylproline cis/trans isomerases which can be inhibited by nanomolar concentrations of the immunosuppressive compounds cyclosplorin-A, FK506 or rapamycin. The system allows preprocessing of kinetics data files and derives from them the first-order rate constants which are used to optimize the inhibitory constant Ki of each inhibitor. The KINMIN program may be also applied to derive Ki for other sets of enzymes and their inhibitors.

Quantitative analysis of gel electrophoretograms by image analysis and least squares modeling

A computer-aided quantitative method for a complex analysis of gel electrophoretograms is presented. The analysis consists of several steps: (i) determination of the background image by methods of mathematical morphology and its subtraction from the gel image, (ii) selection of an appropriate part of the gel lane including curved lanes and lanes with a nonuniform width, (iii) computation of the lane densitogram by averaging several lane-parallel scans, (iv) decomposition of the lane densitogram into component bands using a data selecting algorithm and Marquardt's minimizer. Several different functions for component bands are utilized. It is shown that the densitogram can be decomposed into component bands with reasonable accuracy only if an appropriate model function is chosen. The algorithms are tested on several different gel electrophoretograms which show typical features as a nonuniform background, curved lanes, an asymmetrical band shape and a superposition of small bands on the shoulders of big ones. It is shown that overlapped bands are best approximated by an asymmetrical Gausian curve and an asymmetrical Gauss-Cauchy function. Linear response to the serial dilution of the protein sample is tested.

A note on graphing helical parameters of dynamics structure of DNA

A graphical procedure for analysis of helical parameters in dynamic structure of DNA is described. The performance of the procedure is illustrated by analysis of a 20 ps dynamics simulation of the non-self-complementary ninemer, 5'CAAACAGGA:5'TCCTGTTTG, which is a part of DNA from lacI gene. The dynamics trajectory of the duplex shows sequence-dependent fluctuations of helical parameters.