The Kirchhoff elastic theory of thin filaments with spontaneous curvature is employed in the understanding of the onset of the kink transitions observed in short DNA rings. Dynamical analysis shows that when its actual curvature is less than some threshold value determined by the spontaneous curvature, a circular DNA will begin to buckle to other shapes. The observable and the dominant deformation modes are also determined by dynamical instability analysis, and the different effects of and ions on DNA configurational properties are qualitatively discussed.
REFERENCES
1.
W.
Han
, S. M.
Lindsay
, M.
Dlakic
, and R. E.
Harrington
, Nature (London)
386
, 563
(1997
).2.
W.
Han
, M.
Dlakic
, Y.-J.
Zhu
, S. M.
Lindsay
, and R. E.
Harrington
, Proc. Natl. Acad. Sci. USA
94
, 10565
(1997
).3.
M.
Dlakic
, K.
Park
, J. D.
Griffith
, S. C.
Harvey
, and R. E.
Harrington
, J. Biol. Chem.
271
, 17911
(1996
).4.
5.
6.
H. M.
Sobell
, C.
Tsai
, S. G.
Gilbert
, S. C.
Jain
, and T. D.
Sahore
, Proc. Natl. Acad. Sci. USA
73
, 3068
(1976
).7.
K.
Luger
, A. W.
Mäder
, R. K.
Richmond
, D. F.
Sargent
, and T. J.
Richmond
, Nature (London)
389
, 251
(1997
).8.
A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, 4th ed. (Dover, New York, 1927).
9.
B. D.
Coleman
, E. D.
Dill
, M.
Lembo
, Z.
Lu
, and I.
Tobias
, Arch. Ration. Mech. Anal.
121
, 339
(1993
).10.
11.
L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 3rd ed. (Pergamon, Oxford, 1986).
12.
13.
14.
15.
16.
17.
M. V. Volkenstein, Physics and Biology (Academic, New York, 1982).
18.
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