Version 1
: Received: 29 June 2023 / Approved: 30 June 2023 / Online: 3 July 2023 (14:06:15 CEST)
Version 2
: Received: 19 October 2023 / Approved: 23 October 2023 / Online: 23 October 2023 (11:16:53 CEST)
Planat M, Amaral M, Chester D, Fang F, Aschheim R, Irwin K. Group Theory of Messenger RNA Metabolism and Disease. Gene Expr. Published online: Jan 31, 2024. doi: 10.14218/GE.2023.00079.
Planat M, Amaral M, Chester D, Fang F, Aschheim R, Irwin K. Group Theory of Messenger RNA Metabolism and Disease. Gene Expr. Published online: Jan 31, 2024. doi: 10.14218/GE.2023.00079.
Planat M, Amaral M, Chester D, Fang F, Aschheim R, Irwin K. Group Theory of Messenger RNA Metabolism and Disease. Gene Expr. Published online: Jan 31, 2024. doi: 10.14218/GE.2023.00079.
Planat M, Amaral M, Chester D, Fang F, Aschheim R, Irwin K. Group Theory of Messenger RNA Metabolism and Disease. Gene Expr. Published online: Jan 31, 2024. doi: 10.14218/GE.2023.00079.
Abstract
Our recent work has focused on the application of infinite group theory and related algebraic geometric tools in the context of transcription factors and microRNAs. We were able to differentiate between “healthy" nucleotide sequences and disrupted sequences that may be associated with various diseases. In this paper, we extend our efforts to the study of messenger RNA metabolism, showcasing the power of our approach. We investigate (i) mRNA translation in prokaryotes and eukaryotes, (ii) polyadenylation in eukaryotes, which is crucial for nuclear export, translation, stability, and splicing of mRNA, (iii) miRNAs involved in RNA silencing and post-transcriptional regulation of gene expression, and (iv) the identification of disrupted sequences that could lead to potential illnesses. To achieve this, we employ (a) infinite (finitely generated) groups fp, with generators representing the r+1 distinct nucleotides and a relation between them [e.g., the consensus sequence in the mRNA translation (i), the poly(A) tail in item (ii), and the miRNA seed in item (iii)], (b) aperiodicity theory, which connects “healthy groups" fp to free groups Fr of rank r and their profinite completion F^r, and (c) the representation theory of groups fp over the space-time-spin group SL2(C), highlighting the role of surfaces with isolated singularities in the character variety. Our approach could potentially contribute to the understanding of the molecular mechanisms underlying various diseases and help develop new diagnostic or therapeutic strategies.
Biology and Life Sciences, Biochemistry and Molecular Biology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
