Abstract
A quantitative means of describing molecular shape has been described and developed in the first paper of this series. In this second paper these techniques are further developed to enable the classification of protein “surface” shape. Essentially the molecular surface shape descriptors are considered as components of a vector in a multidimensional space. The closer two vectors are to each other, the more similar are the shapes from which the vectors were derived.
Similar content being viewed by others
References
S.E. Leicester, J.L. Finney and R.P. Bywater, J. Mol. Graph. 6 (1988) 104.
S.E. Leicester, J.L. Finney and R.P. Bywater, J. Math. Chem. 16 (1994) 315.
F.C. Bernstein, T.F. Koetzle, G.J.B. Williams, E.F. Meyer, M.D. Bryce, J.R. Rodgers, O. Kennard, T. Shikanouchi and M. Tasumi, J. Mol. Biol. 112 (1977) 535.
M.L. Connolly, Molecular Surface Program, QCPE Bull. 1 (1981) 74 (QCPE No. 429).
C. Chatfield and A.J. Collins,Introduction to Multivariate Analysis (Chapman & Hall, London, 1980).
L. Stryer,Biochemistry (Freeman, New York, 1988).
W.H. Press, B.P. Flannery, S.A. Teukolsky and W.T. Vetterling,Numerical Recipes — The Art of Scientific Programming (mCambridge University Press, 1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Leicester, S., Finney, J. & Bywater, R. A quantitative representation of molecular surface shape. II: Protein classification using Fourier shape descriptors and classical scaling. J Math Chem 16, 343–365 (1994). https://doi.org/10.1007/BF01169217
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01169217