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A quantitative representation of molecular surface shape. II: Protein classification using Fourier shape descriptors and classical scaling

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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.

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References

  1. S.E. Leicester, J.L. Finney and R.P. Bywater, J. Mol. Graph. 6 (1988) 104.

    Google Scholar 

  2. S.E. Leicester, J.L. Finney and R.P. Bywater, J. Math. Chem. 16 (1994) 315.

    Google Scholar 

  3. 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.

    PubMed  Google Scholar 

  4. M.L. Connolly, Molecular Surface Program, QCPE Bull. 1 (1981) 74 (QCPE No. 429).

    Google Scholar 

  5. C. Chatfield and A.J. Collins,Introduction to Multivariate Analysis (Chapman & Hall, London, 1980).

    Google Scholar 

  6. L. Stryer,Biochemistry (Freeman, New York, 1988).

    Google Scholar 

  7. W.H. Press, B.P. Flannery, S.A. Teukolsky and W.T. Vetterling,Numerical Recipes — The Art of Scientific Programming (mCambridge University Press, 1987).

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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

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  • DOI: https://doi.org/10.1007/BF01169217

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