Computer simulation of DNA double-helix dynamics.

The static structure of DNA has been known for 30 years (Watson and Crick 1953). During the past 5 years, DNA has been shown to have a surprising degree of conformational flexibility in that the number of base pairs per turn is not the same in solution and in fibers (Amott and Hukins 1972; Wang 1979; Rhodes and Klug 1980), that the base and backbone atoms undergo angular motions of large amplitude ( > 25”) on a time scale of nanoseconds (Early and Kearns 1979; Bolton and James 1980; Hogan and Jardetsky 1980), and that there are cooperative conformational transitions mediated by changing environment or binding of drug molecules (Sobell et al. 1977; Hogan et al. 1979; Dattagupta and Crothers 198 1). Model building and computer calculations have considered the static deformation of the DNA double helix by kinking (Crick and I$lug 1975; Sobell et al. 1977) or by smooth bending (Levitt 1978; Sussman and Trifonov 1978). Elegant mathematics has been used to analyze the dynamic behavior of DNA by assuming that the molecule behaves l ike an isotropic elast ic rod (Barkley and Zimm 1979). In the study described in this paper, the nature of the dynamics of the DNA double hel ix was invest igated using the technique of molecular dynamics simulation, which proved so illuminating when used on globular proteins (McCammon et al. 1977; Levitt 198lb). This technique s imulates the movement of a toms in the s ta t ic X-ray structure and thus provides information about the amplitudes and frequencies of vibrations and the type, rate, and pathway of conformational changes. Results are presented for simulations of room-temperature atomic motion of 12-bp and 24-bp DNA double helices for periods of more than 90 psec. The hydrogen bonds between base pairs are all found to be stable on this t ime scale, and the motions of the torsion angles are found to be of small ampli tude ( c loo). The length fluctuat ions of adjacent hydrogen bonds in the same base pair are weakly correlated, whereas the torsion angles of each nucleotide show stronger correlations that agree with those seen in the stat ic X-ray structures. Both DNA fragments show cooperat ive overal l bending and twisting motions of large ampli tude that do not involve any major perturbation of the DNA torsion angles. This smooth bending differs from that expected of an isotropic elast ic rod in that (1) i t is asymmetric, always act ing to close the major groove of DNA, and (2) it consists predominantly of a normal mode that has a wavelength close to the helical repeat length. The stack of base pairs is also seen to kink into the minor groove. The extent of this global motion is consistent with nuclear magnetic resonance measurements and explains the observed sensi t ivi ty of DNA conformation to local environment . These calculat ions have implications for the way the DNA double helix may interact with repressors, polymerases, and other cellular proteins (Anderson et al. 198 1; McKay and Steitz 198 1). The marked contrast between the bending flexibility and the stability of the hydrogen-bonded base pairs suggests that DNA may protect the integri ty of the genetic message by absorbing thermal perturbat ions in bending motions, rather than in base-pair-opening motions.

[1]  G. S. Manning The molecular theory of polyelectrolyte solutions with applications to the electrostatic properties of polynucleotides , 1978, Quarterly Reviews of Biophysics.

[2]  M Levitt,et al.  How many base-pairs per turn does DNA have in solution and in chromatin? Some theoretical calculations. , 1978, Proceedings of the National Academy of Sciences of the United States of America.

[3]  T. Steitz,et al.  Structure of catabolite gene activator protein at 2.9 Ã resolution suggests binding to left handed B-DNA , 1981 .

[4]  J. Schellman,et al.  Flexibility of DNA , 1974, Biopolymers.

[5]  D. Crothers,et al.  Conversion of B DNA between solution and fiber conformations. , 1981, Proceedings of the National Academy of Sciences of the United States of America.

[6]  B. Matthews,et al.  Structure of the cro repressor from bacteriophage λ and its interaction with DNA , 1981, Nature.

[7]  H R Drew,et al.  Structure of a B-DNA dodecamer. III. Geometry of hydration. , 1981, Journal of molecular biology.

[8]  M. Karplus,et al.  Dynamics of folded proteins , 1977, Nature.

[9]  H. R. Wilson,et al.  The molecular configuration of deoxyribonucleic acid , 1960 .

[10]  A. Klug,et al.  Helical periodicity of DNA determined by enzyme digestion , 1980, Nature.

[11]  Zvi Kam,et al.  Dependence of DNA conformation on the concentration of salt. , 1981, Biopolymers.

[12]  E. Trifonov,et al.  Possibility of nonkinked packing of DNA in chromatin. , 1978, Proceedings of the National Academy of Sciences of the United States of America.

[13]  J. Michael Schurr,et al.  Polyelectrolyte contribution to the persistence length of DNA , 1981, Biopolymers.

[14]  E. Clementi,et al.  Analytical potentials from "ab initio" computations for the interaction between biomolecules. 1. Water with amino acids. , 1977, Journal of the American Chemical Society.

[15]  E. Clementi,et al.  Analytical potentials from "ab initio" computations for the interaction between biomolecules. 2. Water with the bases of DNA. , 1977, Journal of the American Chemical Society.

[16]  R. Ornstein,et al.  An optimized potential function for the calculation of nucleic acid interaction energies I. Base stacking , 1978, Biopolymers.

[17]  D. Kearns,et al.  1H nuclear magnetic resonance investigation of flexibility in DNA. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[18]  C. H. Lee,et al.  Solution conformation of DNA. , 1982, Journal of molecular biology.

[19]  O. Jardetzky,et al.  Internal motions in deoxyribonucleic acid II. , 1980, Biochemistry.

[20]  F. Crick,et al.  Kinky helix , 1975, Nature.

[21]  S. Diekmann,et al.  Orientation relaxation of DNA restriction fragments and the internal mobility of the double helix. , 1982, Biophysical chemistry.

[22]  F. Crick,et al.  Molecular Structure of Nucleic Acids: A Structure for Deoxyribose Nucleic Acid , 1953, Nature.

[23]  S. Lifson,et al.  Energy functions for peptides and proteins. I. Derivation of a consistent force field including the hydrogen bond from amide crystals. , 1974, Journal of the American Chemical Society.

[24]  D. Crothers,et al.  Solution structural studies of the Ag(I)-DNA complex. , 1981, Nucleic acids research.

[25]  O. Matsuoka,et al.  Conformational studies on polynucleotide chains. I. Hartree‐fock energies and description of nonbonded interactions with Lennard‐Jones potentials , 1978, Biopolymers.

[26]  W. Kabsch A solution for the best rotation to relate two sets of vectors , 1976 .

[27]  D M Crothers,et al.  Transient electric dichroism of rod-like DNA molecules. , 1978, Proceedings of the National Academy of Sciences of the United States of America.

[28]  Shri Jain,et al.  Visualization of drug-nucleic acid interactions at atomic resolution. III. Unifying structural concepts in understanding drug-DNA interactions and their broader implications in understanding protein-DNA interactions. , 1977, Journal of molecular biology.

[29]  W. H. Reid,et al.  The Theory of Elasticity , 1960 .

[30]  E. Clementi,et al.  Simulations of the solvent structure for macromolecules. I. Solvation of B‐DNA double helix at T = 300 K , 1981 .

[31]  R. Harrington Opticohydrodynamic properties of high‐molecular‐weight DNA. III. The effects of NaCl concentration , 1978 .

[32]  Richard E. Dickerson,et al.  Crystal structure analysis of a complete turn of B-DNA , 1980, Nature.

[33]  H R Drew,et al.  Reversible bending and helix geometry in a B-DNA dodecamer: CGCGAATTBrCGCG. , 1982, The Journal of biological chemistry.

[34]  D W Hukins,et al.  Optimised parameters for A-DNA and B-DNA. , 1972, Biochemical and biophysical research communications.

[35]  B. Zimm,et al.  Electrostatic and Topological Interactions in DNA , 1981 .

[36]  T. James,et al.  Conformational mobility of deoxyribonucleic acid, transfer ribonucleic acid, and poly(adenylic acid) as monitored by carbon-13 nuclear magnetic resonance relaxation. , 1980, Biochemistry.

[37]  Norman L. Allinger,et al.  Conformational analysis—CI , 1974 .

[38]  Bruno H. Zimm,et al.  Theory of twisting and bending of chain macromolecules; analysis of the fluorescence depolarization of DNA , 1979 .

[39]  H R Drew,et al.  Structure of a B-DNA dodecamer: conformation and dynamics. , 1981, Proceedings of the National Academy of Sciences of the United States of America.