Abstract:
:In this paper we use the Gray code representation of the genetic code C=00, U=10, G=11 and A=01 (C pairs with G, A pairs with U) to generate a sequence of genetic code-based matrices. In connection with these code-based matrices, we use the Hamming distance to generate a sequence of numerical matrices. We then further investigate the properties of the numerical matrices and show that they are doubly stochastic and symmetric. We determine the frequency distributions of the Hamming distances, building blocks of the matrices, decomposition and iterations of matrices. We present an explicit decomposition formula for the genetic code-based matrix in terms of permutation matrices, which provides a hypercube representation of the genetic code. It is also observed that there is a Hamiltonian cycle in a genetic code-based hypercube.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
He MX,Petoukhov SV,Ricci PEdoi
10.1016/j.bulm.2004.01.002subject
Has Abstractpub_date
2004-09-01 00:00:00pages
1405-21issue
5eissn
0092-8240issn
1522-9602pii
S0092824004000114journal_volume
66pub_type
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