Abstract
In this paper, work on a new model,an augmented ribbon model, for describing a number of features of primary, secondary, and super-secondary protein structure in a qualitative but mathematically rigorous way is discussed. The structural features that can be treated by the model include connectivity, directionality, chirality, orientation, and proximity which, in many cases, are difficult to deal with using more traditional structural representations (e.g. “wireframe”, “ball-and-stick”, or “space-filling CPK”). In practice, the information encoded in the augmented ribbon model is represented by a labelled, directed graph (digraph) which provides an efficient means for storing and analyzing the information on computers. This opens the way to computer-based analyses of proteins and for the application of similarity methods that have been shown to be quite useful in treating small molecules.
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References
G.E. Schulz and R.H. Schirmer,Principles of Protein Structure (Springer, New York, 1979).
B. Robson and J. Garnier,Introduction to Proteins and Protein Engineering (Elsevier, Amsterdam, 1986).
G.M. Maggiora, B. Mao, K.C. Chou and S.L. Narasimhan, in:Methods of Biochemical Analysis, Vol. 35, ed. C.H. Suelter (Wiley, New York, 1990), p. 1.
J.S. Richardson, Adv. Protein Chem. 34 (1981)167.
B. Mao, J. Amer. Chem. Soc. 111 (1989)6132.
B. Mao, K.C. Chou and G.M. Maggiora, Eur. J. Biochem. 188 (1990)361.
G.M. Maggiora and M.A. Johnson, in:Concepts and Applications of Molecular Similarity, ed. G.M. Maggiora and M.A. Johnson (Wiley, New York, 1990), p. 1.
G.M. Maggiora, S.L. Narasimhan, C.A. Granatir and J.B. Moon, in:NATO Advanced Research Workshop on Computational Models of Organic Chemistry, ed. Formishino and Arnaut (Kluwer, Dordrecht, 1991), p. 137.
M.L. Connolly, I.D. Kuntz and G.M. Crippen, Biopolymers 19 (1980)1167.
G.M. Maggiora, B. Mao and K.C. Chou, in:New Directions in Molecular Chirality, ed. P.G. Mezey (Kluwer, Dordrecht, 1990), p. 93.
J. Stillwell,Classical Topology and Combinatorial Group Theory (Springer, New York, 1980).
R.J. Almassy, J.C. Fontecilla-Camps, F.L. Suddath and C.E. Bugg, J. Mol. Biol. 170 (1983)497.
W.A. Hendrickson and M.M. Teeter, Nature 290 (1981)107.
F. Kaden, I. Koch and J. Selbig, J. Theor. Biol. 147 (1990)85.
V. Nicholson, C.-C. Tsai, M. Johnson and M. Naim, in:Graph Theory and Topology in Chemistry, ed. R.B. King and D.H. Rouvray (Elsevier, Amsterdam, 1987), p. 226.
R. Bernstein, T.F. Koetzle, G.J.B. Williams, E.F. Meyer, Jr., M.D. Brice, J.R. Rodgers, O. Kennard, T. Shimanouchi and M. Tasumi, J. Mol. Biol. 112 (1977)535.
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Nicholson, V.A., Maggiora, G.M. An augmented ribbon model of protein structure. J Math Chem 11, 47–63 (1992). https://doi.org/10.1007/BF01164194
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DOI: https://doi.org/10.1007/BF01164194