Theoretical analysis of gel electrophoretic data for interaction of lysine rich histone with supercoiled DNA

We demonstrate the possibility of using gel electrophoresis as a technique for the quantitative analysis of interaction of lysine rich histone with DNA. On the basis of theoretical framework for extended ligand binding to one-dimensional lattices such as DNA we have set up systems of equations which relate the ligand-to-DNA ratio to the observed gel migration distance of the complex. From the analysis of experimental data for gel electrophoresis of supercoiled DNA in the presence of lysine rich histones we have found that the observed variation of electrophoretic mobilities of the histone-DNA complexes at low histone-to-DNA ratios can be described by a non-cooperative binding behaviour. At this limit we have estimated the intrinsic binding constant to be of the order of 10(3) M-1.