Optimal shapes of compact strings

Nature

Volumn 406, Issue 6793, 2000, Pages 287-290

  Maritan, Amos ^a,b   Micheletti, Cristian ^a,b   Trovato, Antonio ^a,b   Banavar, Jayanth R ^c  

^a SISSA   (Italy)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^c PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOLOGY; CHEMISTRY; CRYSTALLIZATION; GEOMETRY; MOLECULAR DYNAMICS; PHASE TRANSITION; PHYSICS; PRIORITY JOURNAL;

COLLAGEN; MODELS, CHEMICAL; PROTEIN CONFORMATION;

EID: 0034691565     PISSN: 00280836     EISSN: None     Source Type: Journal    
DOI: 10.1038/35018538     Document Type: Article

References (20)

1. Sloane, N. J. A. Kepler's conjecture confirmed. Nature 395, 435-436 (1998).
2. Mackenzie, D. Mathematics - proving the perfection of the honeycomb. Science 285, 1339-1340 (1999).
3. Woodcock, L. V. Entropy difference between the face-centred cubic and the hexagonal close-packed crystal structures. Nature 385, 141-143 (1997).
4. Car, R. Crystal structure - how hard spheres stack up. Nature 385, 13-116 (1997).
5. Cipra, B. Mathematics - packing challenge mastered at last. Science 281, 1267 (1998).
6. Stewart, I. Tight tins for round sardines. Sci. Am. Feb. 80-82 (1998).
7. Buck, G. & Orloff, J. A simple energy function for knots. Topol. Appl. 61, 205-214 (1995).
8. Katritch, V. et al. Geometry and physics of knots. Nature 384, 142-145 (1996).
9. Katritch, V., Olson, W. K., Pieranski, P., Dubochet, I. & Stasiak, A. Properties of ideal composite knots. Nature 388, 148-151 (1997).
10. Gonzalez, O. & Maddocks, J. H. Global curvature, thickness and the ideal shapes of knots. Proc. Natl Acad. Sci. USA 96, 4769-4773 (1999).
11. Buck, G. Four thirds power law for knots and links. Nature 392, 238-239 (1998).
12. Cantarella, J., Kusner, R. B. & Sullivan, J. M. Tight knot values deviate from linear relations. Nature 392, 237-238 (1998)
13. Rose, G. D. & Seltzer, J. P. A new algorithm for finding the peptide chain turns in a globular protein. J. Mol, Biol. 113, 153-164 (1977).
14. Micheletti, C., Maritan, A. & Banavar, J. R. Protein structures and optimal folding from a geometrical variational principle. Phys. Rev. Lett. B2, 3372-3375 (1999).
15. Maritan, A., Michelelti, C. & Banavar, J. R. Role of secondary motifs in fast folding polymers: a dynamical variational principle. Phys. Rev. Lett. 84, 3009-3012 (2000).
16. Sali, A., Shakhnovich, E. & Karplus, M. How does a protein fold? Nature 369, 248-251 (1994).
17. Creighton, P. E. Protens - Structures and Molecular Properties 182-188 (Freeman, New York, 1993).
18. Yee, D. P., Chan, H. S., Havel, T. K & Dill, K. A. Does compactness induce secondary structure in proteins? Study of poly-alanine chains computed by distance geometry. J. Mol. Biol. 241, 557-573 (1994).
19. Socci, N. D., Bialek, W. S. & Onuchic, J. N. Properties and origins of protein secondary structure. Phys. Rev. 49, 3440-3443 (1994).
20. Sokal, A. D. Monte Carlo methods for the self-avoiding walk. Nucl. Phys. B47, 172-179 (1996).