Upper limit for the variances of some helical parameters in DNA double helix

Assuming that the realistic DNA chains are random sequences of purines and pyrimidines and, by using the Dickerson sum functions, it is shown that there exists an upper limit for the variance of helical twist angles, the base-plane roll angles and the other helical parameters respectively in the DNA sequences. The estimates of the variances of all the above helical parameters for the DNA sequences in the Los Alamos data base have been performed and found to be in good agreement with the theoretical results obtained in this paper.