I would like to known why in fibre models the values of tilt and shift has to be close to zero
The fiber models from 3DNA are based on
experimental data, collected from various sources (for details, type "
fiber -m"). You observed that in those structures, the values of tilt and shift are close to zero. Note that the fiber models are simplified, averaged, and regular structures. Compared to roll and slide, tilt and shift are normally not as significant in defining DNA or RNA duplex structures. For example, to a first approximation, A- and B-DNA are distinguished by slide and roll, as shown in Figure 4 of
the 3DNA NAR03 paper.
To get a better understanding of DNA structures, see Calladine's book titled "
Understanding DNA: The Molecule and How it Works".
HTH,
Xiang-Jun