Since the DNA Molecule Returns from the Transcriptional Process Exactly as it was before the Process, the DNA→Protein Production Can Be Seen as a Series of Eigenvalue Problems

Abstract

Sequence of operators acts on the linear DNA-eigenfunction and gradually transforms it into the 3D protein-eigenvalue. The eigenvalue equation for the DNA→Protein production is Protein (DNA) = RxMxSxTxUtw (DNA).The operation of splicing of an exon (S) is studied in the presented work:mRNA = S (preRNA). Here preRNA = TxUtw (DNA).For illustration, the human beta globin gene cluster located on chromosome 11 is applied. The β- and δ-globin genes are expressed during adult life. The e- and γ-globins are expressed in early embryonic and fetal erythroid tissues. The relative positions of the nucleic acid content centers for each globin gene before and after the splicing determine the initial and final 4x4 matrices. The eigenvalue equation of the preRNA → mRNA transformation is:| g u a c|⋯⋯⋯|g c a u|| c g a u| = S x |g c u a|| c a g u|⋯⋯⋯|c g a u|| g a c u|⋯⋯⋯|c g u a|By solving this equation one finds the matrix operator of exon splicing, S =| u g c a|| a a u u|| g u a c|| c c g g|Is the process of exon splicing a simple removal of the mass? Is it rather a selective removal of specific nucleic acids? The latter changes the flexibility and the strength of the polypeptide chain, and is driven by electrostatic interactions. The former is an important component in defining the final structures and the spatial stability of the protein.