{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,27]],"date-time":"2026-01-27T23:27:46Z","timestamp":1769556466382,"version":"3.49.0"},"reference-count":24,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2023,8,7]],"date-time":"2023-08-07T00:00:00Z","timestamp":1691366400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>In this work, we present a new way of studying the mathematical structure of the genetic code. This study relies on the use of mathematical computations involving five Fibonacci-like sequences; a few of their \u201cseeds\u201d or \u201cinitial conditions\u201d are chosen according to the chemical and physical data of the three amino acids serine, arginine and leucine, playing a prominent role in a recent symmetry classification scheme of the genetic code. It appears that these mathematical sequences, of the same kind as the famous Fibonacci series, apart from their usual recurrence relations, are highly intertwined by many useful linear relationships. Using these sequences and also various sums or linear combinations of them, we derive several physical and chemical quantities of interest, such as the number of total coding codons, 61, obeying various degeneracy patterns, the detailed number of H\/CNOS atoms and the integer molecular mass (or nucleon number), in the side chains of the coded amino acids and also in various degeneracy patterns, in agreement with those described in the literature. We also discover, as a by-product, an accurate description of the very chemical structure of the four ribonucleotides uridine monophosphate (UMP), cytidine monophosphate (CMP), adenosine monophosphate (AMP) and guanosine monophosphate (GMP), the building blocks of RNA whose groupings, in three units, constitute the triplet codons. In summary, we find a full mathematical and chemical connection with the \u201cideal sextet\u2019s classification scheme\u201d, which we alluded to above, as well as with others\u2014notably, the Findley\u2013Findley\u2013McGlynn and Rumer\u2019s symmetrical classifications.<\/jats:p>","DOI":"10.3390\/computation11080154","type":"journal-article","created":{"date-parts":[[2023,8,8]],"date-time":"2023-08-08T12:26:39Z","timestamp":1691497599000},"page":"154","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Revealing the Genetic Code Symmetries through Computations Involving Fibonacci-like Sequences and Their Properties"],"prefix":"10.3390","volume":"11","author":[{"given":"Tidjani","family":"N\u00e9gadi","sequence":"first","affiliation":[{"name":"Physics Department, Faculty of Exact and Applied Science, University Oran1 Ahmed Ben Bella, Oran 31100, Algeria"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1161","DOI":"10.1073\/pnas.53.5.1161","article-title":"Codewords and Protein Synthesis, VII. 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