転写方程式の分子論的解釈

Abstract

Considering the molecular mechanism, the equation for transcription, which describes the ratio of anygene-transcripts, is derived. RNA polymerase II moves from transcriptional starting point along a gene underaccelerative force F and resistant forces, both a frictional -rx˙ and -sx proportional to traveling distance x. Thenthe equation of motion of RNA polymerase II may be represented by the following, mx¨ = F - rx˙ - sx. In thisequation x, which means traveling distance of polymerase, may be considered as quantity of transcript, and that of inner standard gene is taken to be equal to unit, so that x can be regarded as the ratio of two gene-transcripts.Arranging the coefficients, the equation for transcription x¨ + 2ax˙ + bx = bD is obtained, where a = r/2m isexpected to be constant for any cases and D = F/bm to be almost same value for similar genes of same kinds ofcell. These predictions are examined for 9 kinds of interleukin.