Healing length and bubble formation in DNA

It has been suggested that thermally induced separations ('bubbles') of the DNA double-strand may play a role in the initiation of gene transcription, and an accurate understanding of the sequence dependence of thermal strand separation is therefore desirable. Based on the Peyrard-Bishop-Dauxois model, we show here that the bubble forming ability of DNA can be quantified in terms of a healing length L(n), defined as the length (number of base-pairs) over which a base-pair defect affects bubbles involving n consecutive base-pairs. The probability for a bubble of size n is demonstrated to be proportional to the number of adenine-thymine base-pairs found within this length. The method for calculating bubble probabilities in a given sequence derived from this notion requires several order of magnitude less numerical effort than direct evaluation.