Homeostasis occurs in a biological or chemical system when some output variable remains approximately constant as one or several input parameters change over some intervals. We propose in this paper a new computational method based on interval techniques to find species in biochemical systems that verify homeostasis. A somehow dual and equally important property is multistationarity, which means that the system has multiple steady states and possible outputs, at constant parameters. We also propose an interval method for testing multistationarity. We have tested homeostasis, absolute concentration robustness and multistationarity on a large collection of biochemical models from the Biomodels and DOCSS databases. The codes used in this paper are publicly available at: https://github.com/Glawal/IbexHomeo.

中文翻译：

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生物稳态与多平稳性的区间约束满足与优化

当一个或几个输入参数在某些时间间隔内变化时，某些输出变量保持近似恒定，则在生物或化学系统中会发生稳态。我们在本文中提出了一种新的基于区间技术的计算方法，以在生化系统中找到可证实稳态的物种。多平稳性在某种程度上具有双重且同等重要的特性，这意味着系统在恒定参数下具有多个稳态和可能的输出。我们还提出了一种用于测试多平稳性的间隔方法。我们在来自Biomodels和DOCSS数据库的大量生化模型上测试了稳态，绝对浓度的稳健性和多平稳性。本文中使用的代码可在以下位置公开获得：https：//github.com/Glawal/IbexHomeo。