调控机制依赖的能量消耗  

The Regulation-Mechanism-Dependent Energy Consumption

作　　者：杨喜艳[1] 吴亚豪[1] 

机构地区：[1]广东金融学院应用数学系,广东广州510521

出　　处：《江西师范大学学报（自然科学版）》2016年第4期338-345,共8页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11526058);广东省教育厅青年创新人才类(2015KQNCX103);2015年广东金融学院"创新强校工程"(高校重大科研成果培育计划类);2016年广东金融学院创新强校规划资助项目

摘　　要：基因表达是一个动态非平衡过程,必然要消耗能量.故从能量消耗的观点研究了转录水平上的一个代表性的基因表达模型,此模型不仅考虑了复杂的启动子结构(有2个调控位点),还考虑了相互作用转录因子的功能(区分为招募、稳定和混合3种机制).通过数学建模、理论分析和数值模拟,研究发现:招募机制最大化能量消耗(定义为熵的产生率),稳定机制最小化能量消耗,混合机制的作用介于2者之间.此外显示出:当启动子活性态的转录率变化时,启动子活性与能量消耗之间呈现出反比关系,即启动子活性越高(低),能量消耗越少(多);而当非活性态的转录率(或泄露率)变化时,启动子活性与能量消耗之间呈现出正比关系,即启动子活性越高(低),能量消耗越多(少).这些结果表明基因表达过程中的能量消耗是调控机制依赖的.Gene expression is a dynamic non-equilibrium process,inevitably consuming energy. Here,a gene expression model at the transcription level is analyzed from the viewpoint of energy consumption. This model considers not only complexity of promoter structure（ two regulatory sites）,but also regulatory functions of interacting transcription factors（ distinguished as three mechanisms： recruitment,stabilization and mixture）. By mathematical modeling,theoretical analysis and numerical simulation,it is found that the recruitment mechanism maximizes energy consumption,the stabilization mechanism minimizes energy consumption,and the role of the mixture is between that of these mechanisms. In addition,it is found that if the transcription rates at active states change,then the relationship between promoter activity and energy consumption is inverse（ i. e.,the higher（ lower） the promoter activity is,the less（ greater） is energy is consumed）,but if the transcription rate（ also called leakage rate） at the inactive state changes,then this relationship is direct（ i. e.,the higher（ lower） the promoter activity is,the greater（ less） is energy is consumed）. Altogether,these results indicate that energy consumption in gene expression is regulation mechanism-dependent.

关 键 词：基因表达 能量消耗 调控机制 启动子活性 

分 类 号：O242[理学—计算数学] Q141[理学—数学]