Kinetics of bundle growth in DNA condensation

Europhysics Letters

Volumn 46, Issue 5, 1999, Pages 624-630

  Ha, B Y ^a   Liu, A J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033137413     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1999-00311-6     Document Type: Article

References (30)

1. BLOOMFIELD V. A., Biopolymers, 31 (1991) 1471, and references therein.
2. BLOOMFIELD V. A., Biopolymers, 44 (1997) 269, and references therein.
3. KLIMENKO S. M., TIKCHONENKO T. I. and ANDREEV V. M., J. Mol. Biol., 23 (1967) 523.
4. ARSCOTT P. G., LI A.-Z. and BLOOMFIELD V. A., Biopolymers, 30 (1990) 619.
5. TANG J. X., WONG S., TRAN P. and JANMEY P., Ber. Bunsenges. Phys. Chem., 100 (1996) 796.
6. TANG J. X., ITO T., TAO T., TRAUB P. and JANMEY P. A., Biochemistry, 36 (1997) 12600.
7. GRØNBEOH-JENSEN N., MASHL R. J., BRUINSMA R. F. and GELBART W. M., Phys. Rev. Lett., 78 (1997) 2477.
8. LYUBARTSEV A. P. and NORDENSKIOLD L., J. Phys. Chem. B, 101 (1997) 4335.
9. BARRAT J. L. and JOANNY J. F., Adv. Chem. Phys., 94 (1996) 1.
10. HA B.-Y. and LIU A. J., Phys. Rev. Lett., 79 (1997) 1289.
11. HA B.-Y. and LIU A. J., Phys. Rev. Lett., 81 (1998) 1011.
12. An alternate picture has also been proposed, based on a zero-temperature description where the system forms an ionic crystal [13, 7, 14, 15]. This picture is in fact completely consistent with and complementary to the charge fluctuation picture that we have described. We have recently shown that the charge fluctuation picture leads to oscillatory decay of charge correlations that grow in range with decreasing temperature and eventually become unstable to the ionic crystal [17]. Thus, the charge fluctuation picture is a high-temperature description appropriate when the charge correlations are liquidlike, and the ionic crystal is a low-temperature description appropriate when the charge correlations are solidlike. No one theory currently spans both regimes, but both approaches describe the basically the same phenomenon, in which nonuniform charge distributions on the rods become correlated to lead to an attraction. Finally, it has been proposed [16] that specific interactions between counterions and chains could lead to an ionic crystal at low temperatures whose structure is determined by the properties of the chains (i.e. the helical structure of DNA) rather than merely the density of condensed counterions, but again, the underlying mechanism of attraction is very similar.
13. ROUZINA I. and BLOOMFIELD V. A., J. Phys. Chem., 100 (1996) 9977.
14. SHKLOVSKII B., preprint.
15. ARENZON J. J., STILCK J. F. and LEVIN Y., preprint.
16. KORYNSHEV A. A. and LEIKIN S., J. Chem. Phys., 107 (1997) 3656; Biophys. J., 75 (1998) 2513.
17. KORYNSHEV A. A. and LEIKIN S., J. Chem. Phys., 107 (1997) 3656; Biophys. J., 75 (1998) 2513.
18. HA B.-Y. and LIU A. J., Phys. Rev. E, 58 (1998) 6281.
19. OHNISHI T., IMAI N. and OOSAWA F., J. Phys. Soc. Jpn., 15 (1960) 896.
20. HUD N. V., DOWNING K. H. and BALHORN R., Proc. Natl. Acad. Sci., 92 (1995) 3581.
21. PARK S. Y., HARRIES D. and GELBART W. M., Biophys. J., 75 (1998) 714.
22. MANNING G. S., J. Chem. Phys., 51 (1969) 924.
23. OOSAWA F., Polyelectrolytes (Marcel Dekker, New York) 1971.
24. PODGORNIK R. and PARSEGIAN V. A., Phys. Rev. Lett., 80 (1998) 1560. This paper and ref. [10] also treat two tilted rods. However, their expressions are low-order expansions of our result in powers of the variance Δ, and the series is divergent in the regime where the interaction is attractive, so their results cannot shed light on this particular issue.
25. MANIATIS T., VENABLE J. J. H. and LERMAN L. S., J. Mol. Biol., 84 (1974) 37.
26. LIVOLANT F. and LEFORESTIER A., Prog. Polym. Sci., 21 (1996) 1115. This review and the preceding paper present evidence that the packing is hexagonal or hexatic; we have used a square lattice for simplicity, the results are qualitatively the same for the hexagonal lattice, which we find to be more stable than the square lattice.
27. HA B.-Y. and LIU A. J., Physica A, 259 (1998) 235.
28. -1/b) ∼ 8, so the two rods will be pushed away from each other.
29. HA B.-Y. and LIU A. J., preprint.
30. STREY H. H.. PARSEGIAN V. A. and PODGORNIK R., Phys. Rev. Lett., 80 (1997) 895.