8. Matrix Genetics, Hadamard Matrices, and Algebraic Biology

  1. Matthew He1 and
  2. Sergey Petoukhov2

Published Online: 12 OCT 2010

DOI: 10.1002/9780470904640.ch8

Mathematics of Bioinformatics: Theory, Practice, and Applications

Mathematics of Bioinformatics: Theory, Practice, and Applications

How to Cite

He, M. and Petoukhov, S. (2010) Matrix Genetics, Hadamard Matrices, and Algebraic Biology, in Mathematics of Bioinformatics: Theory, Practice, and Applications, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470904640.ch8

Author Information

  1. 1

    Nova Southeastern University, Fort Lauderdale, Florida, USA

  2. 2

    Russian Academy of Sciences, Moscow, Russia

Publication History

  1. Published Online: 12 OCT 2010
  2. Published Print: 17 DEC 2010

Book Series:

  1. Bioinformatics: Computational Techniques and Engineering

Book Series Editors:

  1. Yi Pan and
  2. Albert Y. Zomaya

ISBN Information

Print ISBN: 9780470404430

Online ISBN: 9780470904640

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Keywords:

  • matrix genetics, Hadamard matrices and algebraic biology - matrix algebra, instrument for investigation;
  • genetic code and Hadamard matrices - and Walsh–Hadamard transforms;
  • alphabetic algorithm - of bipolar digitization of 64 triplets

Summary

This chapter contains sections titled:

  • Introduction

  • Genetic Matrices and the Degeneracy of the Genetic Code

  • The Genetic Code and Hadamard Matrices

  • Genetic Matrices and Matrix Algebras of Hypercomplex Numbers

  • Some Rules of Evolution of Variants of the Genetic Code

  • Challenges and Perspectives

  • References