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基因表达的数学建模:困惑生物学家的指南。

Mathematical modeling of gene expression: a guide for the perplexed biologist.

机构信息

Department of Biology, Colgate University, Hamilton, NY, USA.

出版信息

Crit Rev Biochem Mol Biol. 2011 Apr;46(2):137-51. doi: 10.3109/10409238.2011.556597.

DOI:10.3109/10409238.2011.556597
PMID:21417596
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3086598/
Abstract

The detailed analysis of transcriptional networks holds a key for understanding central biological processes, and interest in this field has exploded due to new large-scale data acquisition techniques. Mathematical modeling can provide essential insights, but the diversity of modeling approaches can be a daunting prospect to investigators new to this area. For those interested in beginning a transcriptional mathematical modeling project, we provide here an overview of major types of models and their applications to transcriptional networks. In this discussion of recent literature on thermodynamic, Boolean, and differential equation models, we focus on considerations critical for choosing and validating a modeling approach that will be useful for quantitative understanding of biological systems.

摘要

转录网络的详细分析是理解核心生物过程的关键,由于新的大规模数据采集技术的出现,人们对这一领域的兴趣大增。数学建模可以提供重要的见解,但对于刚涉足该领域的研究人员来说,建模方法的多样性可能令人生畏。对于那些有兴趣开始转录数学建模项目的人,我们在此提供主要类型的模型及其在转录网络中的应用的概述。在讨论热力学、布尔和微分方程模型的最新文献时,我们重点讨论了对选择和验证建模方法至关重要的考虑因素,这些方法对于定量理解生物系统将是有用的。

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2
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本文引用的文献

1
Thermodynamic modeling of transcription: sensitivity analysis differentiates biological mechanism from mathematical model-induced effects.转录的热力学建模:敏感性分析区分生物学机制与数学模型诱导效应。
BMC Syst Biol. 2010 Oct 24;4:142. doi: 10.1186/1752-0509-4-142.
2
Thermodynamics-based models of transcriptional regulation by enhancers: the roles of synergistic activation, cooperative binding and short-range repression.基于热力学的增强子转录调控模型:协同激活、合作结合和短程抑制的作用。
PLoS Comput Biol. 2010 Sep 16;6(9):e1000935. doi: 10.1371/journal.pcbi.1000935.
3
Reverse engineering a gene network using an asynchronous parallel evolution strategy.
使用部分最宽松方案优化布尔模型。
Bioinformatics. 2025 Mar 29;41(4). doi: 10.1093/bioinformatics/btaf123.
4
A Kinetic Finite Volume Discretization of the Multidimensional PIDE Model for Gene Regulatory Networks.基因调控网络多维 PIDE 模型的动力学有限体积离散化。
Bull Math Biol. 2024 Jan 22;86(2):22. doi: 10.1007/s11538-023-01251-3.
5
Investigating the dependency of in vitro benchmark concentrations on exposure time in transcriptomics experiments.研究转录组学实验中体外基准浓度与暴露时间的依赖性。
Toxicol In Vitro. 2024 Mar;95:105761. doi: 10.1016/j.tiv.2023.105761. Epub 2023 Dec 9.
6
Differential sensitivity to longitudinal and transverse stretch mediates transcriptional responses in mouse neonatal ventricular myocytes.纵向和横向拉伸的差异敏感性介导了小鼠乳鼠心室肌细胞的转录反应。
Am J Physiol Heart Circ Physiol. 2024 Feb 1;326(2):H370-H384. doi: 10.1152/ajpheart.00562.2023. Epub 2023 Dec 8.
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A bistable autoregulatory module in the developing embryo commits cells to binary expression fates.发育胚胎中的双稳态自调节模块使细胞向二态表达命运转变。
Curr Biol. 2023 Jul 24;33(14):2851-2864.e11. doi: 10.1016/j.cub.2023.06.060. Epub 2023 Jul 14.
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What Is a Digital Twin? Experimental Design for a Data-Centric Machine Learning Perspective in Health.什么是数字孪生?面向健康的以数据为中心的机器学习视角的实验设计。
Int J Mol Sci. 2022 Oct 29;23(21):13149. doi: 10.3390/ijms232113149.
9
Predictive Modelling in Clinical Bioinformatics: Key Concepts for Startups.临床生物信息学中的预测建模:初创企业的关键概念。
BioTech (Basel). 2022 Aug 17;11(3):35. doi: 10.3390/biotech11030035.
10
Stability selection enables robust learning of differential equations from limited noisy data.稳定性选择能够从有限的噪声数据中稳健地学习微分方程。
Proc Math Phys Eng Sci. 2022 Jun;478(2262):20210916. doi: 10.1098/rspa.2021.0916. Epub 2022 Jun 15.
使用异步并行进化策略逆向工程基因网络。
BMC Syst Biol. 2010 Mar 2;4:17. doi: 10.1186/1752-0509-4-17.
4
Deciphering a transcriptional regulatory code: modeling short-range repression in the Drosophila embryo.解析转录调控代码:在果蝇胚胎中模拟短距离抑制。
Mol Syst Biol. 2010;6:341. doi: 10.1038/msb.2009.97. Epub 2010 Jan 19.
5
Conservation and regulatory associations of a wide affinity range of mouse transcription factor binding sites.广泛亲和力范围的小鼠转录因子结合位点的保守和调控关联。
Genomics. 2010 Apr;95(4):185-95. doi: 10.1016/j.ygeno.2010.01.002. Epub 2010 Jan 15.
6
Developmental roles of 21 Drosophila transcription factors are determined by quantitative differences in binding to an overlapping set of thousands of genomic regions.21 种果蝇转录因子的发育作用是由其与数千个重叠基因组区域的结合的定量差异决定的。
Genome Biol. 2009;10(7):R80. doi: 10.1186/gb-2009-10-7-r80. Epub 2009 Jul 23.
7
Environment-specific combinatorial cis-regulation in synthetic promoters.合成启动子中特定环境的组合顺式调控。
Mol Syst Biol. 2009;5:244. doi: 10.1038/msb.2009.1. Epub 2009 Feb 17.
8
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Gene regulatory network inference: data integration in dynamic models-a review.基因调控网络推断:动态模型中的数据整合——综述
Biosystems. 2009 Apr;96(1):86-103. doi: 10.1016/j.biosystems.2008.12.004. Epub 2008 Dec 27.