Bulletin of Mathematical Biology

, Volume 67, Issue 1, pp 1–14 | Cite as

A genetic code Boolean structure. I. The meaning of Boolean deductions

  • Robersy SánchezEmail author
  • Eberto Morgado
  • Ricardo Grau


This paper proposes a genetic code Boolean structure derived from hydrogen bond numbers and chemical types of bases, purines and pyrimidines. It shows that in such Boolean structure, deductions comprise physico-chemical meaning. In particular, codons with adenine as a second base coding to hydrophilic amino acids are not deductible from codons with uracil in the same position, which code to hydrophobic amino acids. Boolean deductions could help us describe the gene evolution process. For instance, most of the reported mutations that confer drug resistance to the HIV protease gene correspond to deductions. What is more, in the human beta-globin gene a similar situation appears where most of the single codon mutations correspond to Boolean deductions from the respective wild-type codon.


Codon Boolean Algebra Genetic Code Indinavir Solvent Accessible Surface Area 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Society for Mathematical Biology 2005

Authors and Affiliations

  • Robersy Sánchez
    • 1
    Email author
  • Eberto Morgado
    • 2
  • Ricardo Grau
    • 3
  1. 1.Biotechnology GroupResearch Institute of Tropical Roots, Tuber Crops and Banana (INIVIT)Santo Domingo, Villa ClaraCuba
  2. 2.Faculty of Mathematics, Physics and ComputationCentral University of Las VillasVilla ClaraCuba
  3. 3.Center of Studies on InformaticsCentral University of Las VillasVilla ClaraCuba

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