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REVIEWS
LOCAL BENDING OF DNA can con-
tribute extensively to the specificity of
biological events such as gene regu-
lation and packaging
1
. In contrast to tra-
ditional structural polymorphism (e.g.
the B-, A- and Z-DNA structures), bend-
ing is a localized micropolymorphism in
which the original B-DNA structure is
distorted but is not modified extensively.
Broadly speaking, the DNA segments
that are involved in the protein-induced
and/or inherent DNA bending that occurs
in many promoters, enhancers and si-
lencers are about 10–50 bp in length.
DNA molecules in this size range are dif-
ficult to model because they are longer
than those that can be described easily
by atomic-resolution molecular model-
ling or quantum-mechanical approaches.
Equally, they are shorter than those that
can be meaningfully handled by tradi-
tional elastic models, which successfully
describe macroscopic behaviour (such
as supercoiling) in longer DNA seg-
ments
2,3
. Also, local DNA conformations
and recognition by DNA-binding pro-
teins are clearly sequence dependent,
so conventional elastic-rod models of
DNA, which do not explicitly represent
the dependence of the elasticity on the
base sequence, cannot tell us much about
these conformations. Here, we review
briefly the advantages and limitations of
rod models of DNA, particularly with
regard to elastic modelling of local
bending phenomena.
Static-geometry models
Rod models are the simplest form of
DNA models and represent DNA as a
cylindrical rod of constant diameter. The
shape, in this case, is the path or trajec-
tory of the longitudinal z-axis, which can
be either straight or curved (Fig. 1a).
The common philosophy of rod models
is to divide the rod into short cylindrical
segments (e.g. the size of a base pair)
and then to compute a given rod param-
eter on the basis of segment parameters
that have to be known a priori. Dinu-
cleotide models define the base-pair-size
unit as two adjacent base pairs. There
are therefore 16 possible units, or 10 if we
allow strand symmetry (e.g. AA = TT).
Trinucleotide models define the unit
around the central base pair of a given
trinucleotide. This yields 64 or 32 differ-
ent units, again depending on whether
or not strand symmetry is allowed.
Static models are rigid rod models
that only consider the static geometry
of a segment. Curvature in B-DNA was
originally believed to be a consequence
of A
n
(n = 4–6) tracts that were repeated
in phase with the helical repeat in DNA.
Two static models were proposed ini-
tially, to explain the phenomenon. In the
nearest-neighbour model, the axial de-
flections of successive AA/TT dinu-
cleotides sum to produce a curve
4
(Fig.
1b). In the so-called junction model, cur-
vature is produced at the junction be-
tween the modified B-DNA structure
(consisting of A
n
tracts) and adjacent
unmodified B-DNA structure
5
. More re-
cently, it became clear that DNA curva-
ture also involves other sequence el-
ements
6
, and more sophisticated models,
which included different geometries for
all 16 dinucleotides, were proposed
7,8
.
Current static models consider dinu-
cleotide geometries that are derived
from direct measurements such as X-ray
crystallography
9–12
or NMR
13,14
, from
Rod models of DNA:
sequence-dependent anisotropic
elastic modelling of local
bending phenomena
Mircea G. Munteanu, Kristian Vlahovicek,
Subbiah Parthasarathy, István Simon and
Sándor Pongor
Local bending phenomena can be predicted by elastic models that incor-
porate sequence-dependent anisotropic-bendability (SDAB). SDAB models
consider DNA to be an initially straight, segmented, elastic rod, in which
the flexibility of each segment is greater towards the major groove than
it is in other directions. While local bending can be predicted by static-
geometry models as well, SDAB models, in addition, qualitatively explain
such phenomena as the affinity of protein binding and kinking. A set of
prediction tools is available at http://www.icgeb.trieste.it/dna
M. G. Munteanu, K. Vlahovicek,
S. Parthasarathy and S. Pongor are at the
International Centre for Genetic Engineering
and Biotechnology, Padriciano 99, 34012
Trieste, Italy; and I. Simon is at the Institute
of Enzymology, BRC, Hungarian Academy of
Sciences, H-1518 Budapest, PO Box 7,
Hungary.
Email: pongor@icgeb.trieste.it
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