Franco E, Velázquez J J L
University of Bonn: Rheinische Friedrich-Wilhelms-Universitat Bonn, Bonn, Germany.
Bull Math Biol. 2025 Jul 1;87(8):108. doi: 10.1007/s11538-025-01487-1.
The detailed balance property is a fundamental property that must be satisfied in all the macroscopic systems with a well defined temperature at each point. On the other hand, many biochemical networks work in non-equilibrium conditions and they can be effectively modelled using sets of equations in which the detailed balance condition fails. In this paper we study a class of "out of equilibrium" chemical networks that can be obtained freezing the concentration of some substances in chemical networks for which the detailed balance property holds. In particular, we prove that any chemical system with bidirectional chemical reactions can be extended to a system having additional substances and for which the detailed balance property holds.
细致平衡性质是所有在每一点都具有明确温度的宏观系统中必须满足的基本性质。另一方面，许多生化网络在非平衡条件下运行，并且可以使用一组方程有效地进行建模，在这些方程中细致平衡条件不成立。在本文中，我们研究一类“非平衡”化学网络，这类网络可以通过冻结某些物质在具有细致平衡性质的化学网络中的浓度而得到。特别地，我们证明任何具有双向化学反应的化学系统都可以扩展为一个具有额外物质且具有细致平衡性质的系统。
