Velazco Sarai, Kambo Delina, Yu Kevin, Saha Anushka, Beckman Emily, Mysore Nishant, Cauwenberghs Gert
Annu Int Conf IEEE Eng Med Biol Soc. 2021 Nov;2021:1086-1091. doi: 10.1109/EMBC46164.2021.9630940.
Gene regulation is an essential process for cell development, having a profound effect in dictating cell functions. Bacterial genes are often regulated through inducible systems like the Lac operon which plays an important role in cell metabolism. An accurate model of its regulation can reveal the dynamics of gene expression. In this paper, a mathematical model of this system is constructed by focusing on regulation by the Lac repressor. The results show, as expected, that the concentration of lactose approaches zero while glucose concentration approaches the initial concentration of lactose by the action of β-galactosidase, expressed by the Lac operon. Addition of PD control improves stability of the system, with the phase margin increasing from 45° to 90°. Modeling the dynamics of gene expression in inducible operons like Lac operon can be essential for its applications in the production of recombinant proteins and its potential usage in gene therapy.
基因调控是细胞发育的一个重要过程，对决定细胞功能有着深远影响。细菌基因通常通过诸如乳糖操纵子等诱导系统进行调控，该操纵子在细胞代谢中发挥着重要作用。其调控的精确模型可以揭示基因表达的动态过程。在本文中，通过聚焦乳糖阻遏物的调控构建了该系统的数学模型。结果表明，正如预期的那样，在乳糖操纵子所表达的β-半乳糖苷酶的作用下，乳糖浓度趋近于零，而葡萄糖浓度趋近于乳糖的初始浓度。加入比例微分（PD）控制可提高系统的稳定性，相位裕度从45°增加到90°。对像乳糖操纵子这样的诱导型操纵子中的基因表达动态进行建模，对于其在重组蛋白生产中的应用以及在基因治疗中的潜在用途可能至关重要。
