论文标题
小型反应网络的混合体积
Mixed volume of small reaction networks
论文作者
论文摘要
化学反应网络的重要不变是其最大阳性稳态数量。但是，这个数字通常很难计算。但是，这个数字上有一个上限 - 即网络的混合体积 - 易于计算。此外，最近的工作表明，对于某些生物信号网络，混合体积并不超过最大阳性稳态数量。继续进行这一研究，我们进一步研究了这一量，并计算了只有少量物种或反应的小型网络的混合体积。
An important invariant of a chemical reaction network is its maximum number of positive steady states. This number, however, is in general difficult to compute. Nonetheless, there is an upper bound on this number -- namely, a network's mixed volume -- that is easy to compute. Moreover, recent work has shown that, for certain biological signaling networks, the mixed volume does not greatly exceed the maximum number of positive steady states. Continuing this line of research, we further investigate this overcount and also compute the mixed volumes of small networks, those with only a few species or reactions.
