Melting of cross-linked DNA: I. Model and theoretical methods.

Covalent and strong coordination binding to DNA of a large number of antitumour drugs and other compounds leads to interstrand cross-link formation. To investigate cross-link influence on double helix stability, two methods are developed for the calculation of melting curves. The first method is based on Poland's approach. It requires computer time proportional to u.N, where u is the average distance (in base pairs) between neighboring cross-links and N is the number of base pairs in the DNA chain. The method is more suitable when u is not large, and small loops formed by interstrand cross-links in melted regions strongly affect DNA melting. The computer time for the second method, based on the Fixman-Freire approach, does not depend on the number of cross-links and is proportional to I.N (I is the number of exponential functions used for a decomposition of the loop entropy factor). It is more appropriate when N and u are large, and therefore particular values of the entropy factors of small loops do not influence DNA melting behavior.