Algorithms for evaluation of minimal cut sets

IF 4 2区 医学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Journal of Biomedical Informatics Pub Date : 2024-11-01 DOI:10.1016/j.jbi.2024.104740
Marcin Radom , Agnieszka Rybarczyk , Igor Piekarz , Piotr Formanowicz
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Abstract

Objective:

We propose a way to enhance the evaluation of minimal cut sets (MCSs) in biological systems modeled by Petri nets, by providing criteria and methodology for determining their optimality in disabling specific processes without affecting critical system components.

Methods:

This study concerns Petri nets to model biological systems and utilizes two primary approaches for MCS evaluation. First is the analyzing impact on t-invariants to identify structural dependencies. Second is assessing the impact on potentially starved transitions caused by the inactivity of specific MCSs. This approach deal with net dynamics. These methodologies aim to offer practical tools for assessing the quality and effectiveness of MCSs.

Results:

The proposed methodologies were applied to two case studies. In the first case, a cholesterol metabolism network was analyzed to investigate how local inflammation and oxidative stress, in conjunction with cholesterol imbalances, influence the progression of atherosclerosis. The MCSs were ranked, with the top sets presented, focusing on those that disabled the fewest number of t-invariants. In the second case, a carbohydrate metabolism disorder model was examined to understand its impact on atherosclerosis progression. The analysis aimed to identify MCSs that could inhibit the atherosclerosis process by targeting specific transitions. Both studies utilized the Holmes software for calculations, demonstrating the effectiveness of the proposed evaluation methodologies in ranking MCSs for practical biological applications.

Conclusion:

The algorithms proposed in this paper offer an analytical approach for evaluating the quality of MCSs in biological systems. By providing criteria for MCS optimality, these approaches have potential to enhance the utility of MCS analysis in systems biology, aiding in the understanding and manipulation of complex biological networks.
Algorithm are implemented within Holmes software, an open-source project available at https://github.com/bszawulak/HolmesPN.

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最小切割集评估算法。
目标:我们提出了一种在 Petri 网建模的生物系统中加强最小割集(MCS)评估的方法,提供了确定最小割集在不影响关键系统组件的情况下禁用特定过程的最优性的标准和方法:本研究采用 Petri 网为生物系统建模,并利用两种主要方法对 MCS 进行评估。首先是分析对 t 变量的影响,以确定结构依赖性。其次是评估特定多重监控系统不活动对潜在饥饿转换的影响。这种方法处理的是净动态。这些方法旨在为评估监控监的质量和有效性提供实用工具:结果:所提出的方法适用于两个案例研究。第一个案例分析了胆固醇代谢网络,以研究局部炎症和氧化应激与胆固醇失衡如何影响动脉粥样硬化的进展。对多态性变异体进行了排序,并展示了最优秀的变异体,重点是那些禁用 t 变异体数量最少的变异体。第二种情况是研究碳水化合物代谢紊乱模型,以了解其对动脉粥样硬化进展的影响。分析的目的是找出可以通过靶向特定转变来抑制动脉粥样硬化过程的 MCS。这两项研究都使用了 Holmes 软件进行计算,证明了所提出的评估方法在实际生物应用中对 MCS 进行排序的有效性:本文提出的算法提供了一种评估生物系统中多重控制信号质量的分析方法。通过提供 MCS 最佳性标准,这些方法有望提高系统生物学中 MCS 分析的实用性,帮助理解和操纵复杂的生物网络。算法在 Holmes 软件中实现,该软件是一个开源项目,可在 https://github.com/bszawulak/HolmesPN 上获取。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Biomedical Informatics
Journal of Biomedical Informatics 医学-计算机:跨学科应用
CiteScore
8.90
自引率
6.70%
发文量
243
审稿时长
32 days
期刊介绍: The Journal of Biomedical Informatics reflects a commitment to high-quality original research papers, reviews, and commentaries in the area of biomedical informatics methodology. Although we publish articles motivated by applications in the biomedical sciences (for example, clinical medicine, health care, population health, and translational bioinformatics), the journal emphasizes reports of new methodologies and techniques that have general applicability and that form the basis for the evolving science of biomedical informatics. Articles on medical devices; evaluations of implemented systems (including clinical trials of information technologies); or papers that provide insight into a biological process, a specific disease, or treatment options would generally be more suitable for publication in other venues. Papers on applications of signal processing and image analysis are often more suitable for biomedical engineering journals or other informatics journals, although we do publish papers that emphasize the information management and knowledge representation/modeling issues that arise in the storage and use of biological signals and images. System descriptions are welcome if they illustrate and substantiate the underlying methodology that is the principal focus of the report and an effort is made to address the generalizability and/or range of application of that methodology. Note also that, given the international nature of JBI, papers that deal with specific languages other than English, or with country-specific health systems or approaches, are acceptable for JBI only if they offer generalizable lessons that are relevant to the broad JBI readership, regardless of their country, language, culture, or health system.
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