质量作用系统中的无穷小稳态
Infinitesimal Homeostasis in Mass-Action Systems
AI总结：
本文针对化学反应网络，研究无穷小稳态的存在性，提出无穷小浓度鲁棒性概念，并给出在有无守恒定律下验证稳态点的方法，附有确定性和随机示例。
摘要：
当生物系统中的选定输出变量尽管输入变量发生变化仍保持近似恒定时，即发生稳态。在本工作中，我们特别关注可表示为化学反应网络的生物系统，并考虑其无穷小稳态，即输入-输出函数的导数为零。化学反应网络的具体挑战在于它们通常遵循各种守恒定律，这使标准的输入-输出分析复杂化。我们推导出若干结果，这些结果允许在无守恒情形下以及在有守恒定律且守恒量作为输入参数的情形下验证无穷小稳态点的存在性。特别地，我们引入了无穷小浓度鲁棒性的概念，其中输出变量在守恒量波动时仍保持近似恒定。我们提供了几个化学网络的例子，这些例子在确定性和随机环境中均说明了我们的结果。
英文摘要：
Homeostasis occurs in a biological system when a chosen output variable remains approximately constant despite changes in an input variable. In this work we specifically focus on biological systems which may be represented as chemical reaction networks and consider their infinitesimal homeostasis, where the derivative of the input-output function is zero. The specific challenge of chemical reaction networks is that they often obey various conservation laws complicating the standard input-output analysis. We derive several results that allow to verify the existence of infinitesimal homeostasis points both in the absence of conservation and under conservation laws where conserved quantities serve as input parameters. In particular, we introduce the notion of infinitesimal concentration robustness, where the output variable remains nearly constant despite fluctuations in the conserved quantities. We provide several examples of chemical networks which illustrate our results both in deterministic and stochastic settings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
