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Robust Persistence and Permanence in Biological Interaction Networks

生物相互作用网络中的鲁棒持久性和持久性

基本信息

批准号：
2051568
负责人：
Gheorghe Craciun
金额：
$ 25万
依托单位：
University of Wisconsin-Madison
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2021
资助国家：
美国
起止时间：
2021-08-01 至 2024-07-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2051568&HistoricalAwards=false
关键词：
Robust Persistence Permanence Biological Interaction

项目摘要

Persistence and permanence refer to the capacity of a system to maintain all its variables within fixed limits in a robust way. The phenomenon is the focus of much modern biological and biomedical research, and is found at all scales, from the molecular and cellular, to tissues, organisms, populations, and ecosystems. For example, at the cellular level, persistence in gene and protein networks plays a key role in the establishment of homeostasis, which is the ability of the cell to regulate key variables, so that internal conditions remain relatively constant. Persistence at the population-dynamics level plays a role, for example, in the spread of infectious disease. This project aims to develop new mathematical methods and computational algorithms for analyzing persistence. This will allow biologists and biomedical scientists to better investigate persistence properties of diverse biological networks of interest. A more complete characterization of persistent systems will improve our understanding of the conditions that allow an infectious disease to become endemic and of the changes that may drive it to extinction. The project involves training of undergraduate and graduate students through involvement in the research.Persistence is one of the most important features of biological interaction networks. Understanding the role played by specific biological interactions (for example the role of a signaling pathway in a cell, or the effect of introducing a foreign species in an ecosystem) can be challenging due to positive and negative feedbacks, nonlinear interactions, and other complex signaling between the nodes of the network. These challenges are due to the inherent complexity of the dynamics of nonlinear systems. This project will analyze persistence as a fundamental theoretical concept that traverses levels of biological complexity and will develop mathematical and computational tools to understand persistence in general biological interaction networks. The project will especially focus on population dynamics models, with the aim to provide mathematical and computational tools for drawing precise connections between the structure of the network of interactions between populations and the persistence properties of its associated dynamical system.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

持久性和持久性是指系统以稳健的方式将其所有变量保持在固定范围内的能力。这种现象是许多现代生物学和生物医学研究的焦点，并且在从分子和细胞到组织、生物体、种群和生态系统的所有尺度上都有发现。例如，在细胞水平上，基因和蛋白质网络的持久性在稳态的建立中起着关键作用，稳态是指细胞调节关键变量的能力，从而使内部条件保持相对恒定。例如，人口动态水平上的持续存在对传染病的传播起着作用。该项目旨在开发新的数学方法和计算算法来分析持久性。这将使生物学家和生物医学科学家能够更好地研究各种感兴趣的生物网络的持久性。对持久性系统的更完整的描述将提高我们对传染病成为地方病的条件和可能导致其灭绝的变化的理解。该项目包括通过参与研究对本科生和研究生进行培训。持久性是生物相互作用网络最重要的特征之一。由于网络节点之间的正反馈和负反馈、非线性相互作用和其他复杂信号，理解特定生物相互作用（例如细胞中信号通路的作用，或在生态系统中引入外来物种的影响）所起的作用可能具有挑战性。这些挑战是由于非线性系统动力学的固有复杂性。这个项目将把持久性作为一个基本的理论概念来分析，它贯穿了生物复杂性的各个层面，并将开发数学和计算工具来理解一般生物相互作用网络中的持久性。该项目将特别侧重于种群动态模型，目的是提供数学和计算工具，以便在种群之间相互作用网络的结构与其相关动力系统的持久性之间建立精确的联系。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。