DNA linking potential generated by gyrase

Whether or not DNA gyrase can supercoil DNA so that alternative structures will arise in it is the major question of this work. We have shown gyrase to produce in pAO3 DNA a superhelix density sufficient for cruciform formation. However, the transition does not take place because of too slow kinetics. A change of ionic conditions in favour of more intense DNA supercoiling by gyrase shifts the midpoint of the equilibrium transition to the cruciform structure toward more supercoiled topoisomers. The width of the equilibrium transition to the cruciform as a function of linking number has been revealed to be an order of magnitude larger in buffers containing magnesium and spermidine than in buffers with monovalent cations only. We ascribe this effect to the influence that the counter ions surrounding the DNA molecule have on its elasticity, the coefficient of elasticity being dependent on superhelix density sigma. Thus, the free energy of supercoiling (a) depends on the ionic conditions and (b) is not a quadratic function of sigma in the physiological range of parameters. We propose a description of DNA as a system of links that can be either closed or open; we also introduce a new concept of the DNA linking potential akin to the chemical and electric potentials. The linking potential is a suitable parameter for describing the equilibrium distribution of links in heterogeneous DNA, the coexistence of various DNA structures, the equilibrium input and output of DNA links by enzymes, and the nonequilibrium movement of links along DNA chains. Within the framework of this approach DNA gyrase is considered as the source of the DNA linking potential.