Fioranelli Massimo, Roccia Maria Grazia
Department of Nuclear, Sub-nuclear and Radiation Physics, Guglielmo Marconi University, Via Plinio, 44-00193, Rome, Italy.
Biochem Biophys Rep. 2020 Mar 5;22:100749. doi: 10.1016/j.bbrep.2020.100749. eCollection 2020 Jul.
The present question is the possibility of information loss in gene expression? Information loss in the gene expression disrupts the cellular dynamics and can lead to serious defects, including cancer. Using Gottesman and Preskill method for calculating information loss in black holes,a mechanism for calculating the amount of information transformation in gene expression is proposed. In this proposal, there are three different Hilbert spaces that belong to degrees of freedom of DNA, RNA, and protein. The genetic sequence of the DNA is transcribed into protein at two stages. At first stage it is shown that the internal stationary state of the cell can be represented by a maximally entangled two-mode squeezed state of DNA and mRNA.At second stage, the state of the cell is described by a maximally entangled two-mode squeezed state of mRNA and protein. The amount of information transformation can be obtain by projecting the state at first stage on the state at second stage. Evidently for all finite values of the transcription factor concentration y, binding energy E and free energy F of the transcription factor, the information isn't lost in gene expression.
当前的问题是基因表达中信息丢失的可能性？基因表达中的信息丢失会扰乱细胞动力学，并可能导致严重缺陷，包括癌症。利用戈特斯曼和普雷斯基尔计算黑洞中信息丢失的方法，提出了一种计算基因表达中信息转化量的机制。在这个提议中，有三个不同的希尔伯特空间，分别属于DNA、RNA和蛋白质的自由度。DNA的遗传序列分两个阶段转录为蛋白质。在第一阶段，表明细胞的内部稳态可以由DNA和mRNA的最大纠缠双模压缩态表示。在第二阶段，细胞状态由mRNA和蛋白质的最大纠缠双模压缩态描述。信息转化量可以通过将第一阶段的状态投影到第二阶段的状态来获得。显然，对于转录因子浓度y、转录因子的结合能E和自由能F的所有有限值，基因表达中信息不会丢失。
