最小多平稳质量保持化学反应网络
The smallest multistationary mass-preserving chemical reaction network
摘要：
表现出双稳性的生物化学模型引起了生物学家和数学家的兴趣。化学反应网络理论一方面可以为双稳态的存在提供充分条件，另一方面可以排除多稳态的可能性。理解小网络是很重要的，因为在生化模型的子网络中存在多个稳态有时可以被提升以在更大的网络中建立多稳态。本文建立了允许双稳态的最小可逆质量保持网络，并确定了存在多个稳态的参数半代数集。
英文摘要：
Biochemical models that exhibit bistability are of interest to biologists and mathematicians alike. Chemical reaction network theory can provide sufficient conditions for the existence of bistability, and on the other hand can rule out the possibility of multiple steady states. Understanding small networks is important because the existence of multiple steady states in a subnetwork of a biochemical model can sometimes be lifted to establish multistationarity in the larger network. This paper establishes the smallest reversible, mass-preserving network that admits bistability and determines the semi-algebraic set of parameters for which more than one steady state exists.
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。
