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note
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In principle, strong electrostatic interaction at close separations may not only result in torsional deformation but also lead to changes in stacking distance and roll and tilt angles between base pairs. Intermolecular interaction may also cause more global conformational changes such as B-A transition, which occurs in dense DNA aggregates at low humidity. In the present study, however, we focus on recognition and formation of sufficiently well hydrated DNA aggregates where only the twist deformation appears to be important.
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2642578922
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note
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Upon averaging of functions or functionals of ø(z), it is important to distinguish an ensemble average over possible realizations of Ω(z), an average over the juxtaposition length, and a combined average over realizations of Ω(z) and over the juxtaposition length (for more details see section A3.2).
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85087222512
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note
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note
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c) ∼ 1.
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note
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Here we account for charge "smearing" caused by finite width and thermal motions of charged groups (in contrast to the approximation of infinitely thin charged lines for strands and grooves used in our previous studies). For simplicity, we assume that the smearing can be described by a Gaussian function with the width w independent of charge group identity and location. Such smearing suppresses the contribution of the interaction mode with n = 2, as compared to the case of w = 0.
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To the best of our knowledge, exact solutions of the time-independent sine-Gordon equation with an inhomogeneous righ-hand-side were obtained only for few pointlike defects in the context of soliton pinning (see, e.g.: Reisinger, H.; Schwalb, F. Z. Phys. B 1983, 52, 151). The derivative of δΩ in the right-hand-side further increases the complexity of the problem by making it nonlocal.
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Reisinger, H.1
Schwalb, F.2
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57
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In principle, an even more accurate approximation would be based on using an independent variational parameter as a factor in front of the second integral. However, the resulting expanded set of trial functions gives exactly the same result for infinitely long helices and only minor corrections for finite-length helical fragments.
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i(z)).
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0 (cf. Figure 3a,b and Figure 5b). This frustration of pairwise alignment is caused by multimolecular correlations. It leads to a rather shallow energy minimum at the optimal alignment, and therefore, it might result in substantial thermal torsional fluctuations. Such fluctuations reduce biaxial correlations and might cause complete loss of the long-range order in azimuthal orientations. Although this effect might be important for understanding the loss of cholesteric packing of molecules at small interaxial distances, its detailed analysis is beyond the scope of the present work.
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