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This study proposes that the genetic code uses cyclic codes, similar to Boolean algebra, to manage biological cyclic processes. This connection to cyclic Gray codes offers new modeling approaches for inherited biological structures.

Keywords:
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Area of Science:

  • Genetics
  • Bioinformatics
  • Systems Biology

Background:

  • Biological life relies on complex, coordinated cyclic processes.
  • Understanding the genetic basis of these cyclic processes is crucial for deciphering life's mechanisms.

Purpose of the Study:

  • To propose and argue that the genetic coding system encodes inherited cyclic processes.
  • To explore the connection between genetic coding and cyclic codes, specifically cyclic Gray codes.

Main Methods:

  • Theoretical analysis of genetic coding as a cyclic code system.
  • Connecting genetic coding principles with Boolean algebra and logic.
  • Reviewing existing mathematical and engineering tools associated with Gray codes.

Main Results:

  • The genetic coding system is proposed to be a system of cyclic codes linked to Boolean algebra.
  • A strong connection is established between the genetic coding system and cyclic Gray codes.
  • This linkage suggests applicability of Gray code-related theories (Karnaugh maps, Hilbert curves, etc.) to biological modeling.

Conclusions:

  • Inherited physiological processes are cyclical due to genetic encoding by cyclic codes.
  • The genetic system's ability to encode cyclic processes must be considered in studies of the genetic code's origin, evolution, and function.
  • This research opens avenues for novel modeling of inherited cyclic biostructures using established engineering theories.