Skip to main content
Log in

A vector representation for amino acid sequences

  • Published:
Bulletin of Mathematical Biology Aims and scope Submit manuscript

Abstract

A scheme for representing amino acids as vectors in the plane is presented and justified. The two dimensions of the plane are size and hydrophobicity. The vector representation is then applied to generate a consensus sequence for some sets of homologous proteins. A figure of merit for the degree of homology of a set of sequences results from the analysis. Some other applications of the scheme are considered also. This work grew from ideaseeds planted by Margaret Dayhoff's work in theAtlas of Protein Structure and Sequence. It is with gratitude that I dedicate this paper to her memory.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature

  • Dayhoff, M. O. 1972, 1978.Atlas of Protein Sequence and Structure, Vol. 5 and Supplement 3. Washington, D.C.: National Biomedical Research Foundation.

    Google Scholar 

  • Dickerson, R. E. 1980. “The Cytochromes c: An Exercise in Scientific Serendipity”. In:Evolution of Protein Structure and Function, Eds. D. S. Sigman and M. A. B. Brazier UCLA Forum in Medical Science, Vol. 21, New York: Academic Press.

    Google Scholar 

  • French, S. and B. Robson. 1983. “What is a Conservative Substitution”?J. molec. Evol. 19, 171–175.

    Article  Google Scholar 

  • Kruskal, J. B. and M. Wish. 1978.Multidimensional Scaling. Beverly Hills, CA: Sage Publications.

    Google Scholar 

  • Shepard, R. N. 1962a. “The Analysis of Proximities: Multi-dimensional Scaling with an Unknown Function. I”.Psychometrika 27, 125–140.

    Article  MATH  MathSciNet  Google Scholar 

  • — 1962b. “The Analysis of Proximities: Multi-dimensional Scaling with an Unknown Function. II”.Psychometrika 27, 219–246.

    Article  MATH  MathSciNet  Google Scholar 

  • Swanson, R. 1984. “A Unifying Concept for the Amino Acid Code”.Bull. Math. Biol. 46, 187–204.

    Article  MATH  MathSciNet  Google Scholar 

  • Terwilliger, T. C., R. M. Weiss and D. Eisenberg 1982. “The Helical Hydrophobic Moment –A Measure of the Amphilicity of a Helix”.Nature 299, 371–374.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Swanson, R. A vector representation for amino acid sequences. Bltn Mathcal Biology 46, 623–639 (1984). https://doi.org/10.1007/BF02459507

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02459507

Keywords

Navigation