Weak reversibility is a crucial structural property of chemical reaction networks (CRNs) with mass action kinetics, because it has major implications related to the existence, uniqueness and stability of equilibrium points and to the boundedness of solutions. In this paper, we present two new ...
Can the network support tristability? The natural candidates for three fixed points are (001), (100), (010). This adds additional conditions (third column below) to the conditions above fa(01)=0,fa(00)=1fa(10)=0fb(01)=0,fb(10)=0fb(00)=1fc(00)=1,fc(10)=0.fc(01)=0 Direct...
1\}wheref = g ∘ B. Left column: input valuesuare all possible values of pair of boolean variablesXandY. Second column; values of functionB(u). Columns 3–8: Collection of all possible monotone boolean functionsg:{{\mathbb{B}}}^{2}\to \{0,1\}: function...
Find all equilibria, then characterize the stability of each equilibrium. 1. Given dy = (y+2)(y-3), answer the following questions. (a) Identify the equilibrium values. Which are stable and unstable. (Equilibria are y = -2, 3, where -2 is...
Deubiquitinase USP39 and E3 ligase TRIM26 function in an antagonistic pattern, but not a competitive pattern, and play key roles in controlling ZEB1 stability to determine the HCC progression. In summary, our data reveal a previously unknown mechanism that USP39 and TRIM26 balance the level of ...
The reactions at the supporting points of the beam are calculated using the equilibrium equations after drawing the free body diagram for the beam. The equilibrium equations are the balance of forces in the x and y directions and the balance...
Any effect that changes spicule shape significantly may also be expected to modify quantitatively the regions of stability of different shape classes. Previous variational work on echinocyte shapes by Iglič and coworkers (Iglič, 1997; Iglič et al., 1998a, Iglič et al., 1998b) has...
a站在我后面的那个男生是我的同学 正在翻译,请等待...[translate] aHence, the study of unstable manifold of the controlling unstable equilibrium points is important to determine the nature of instability. 因此,控制不稳定的平衡点的不稳定的多头管的研究是重要确定不稳定的本质。[translate]...
aThe stability boundary of stable equilibrium point is given by the union of unstable manifold of the controlling equilibrium points on its stability boundary. 稳定的平衡点稳定界限由控制平衡点的不稳定的多头管联合在它的稳定界限给。 [translate] aComply with your own heart What do you want to just...
water content information, we choose apatite, an accessory mineral with wide stability and capable of recording the volatile contents in magma (Piccoli and Candela, 2002, Webster and Piccoli, 2015), as the tracer of the evolution of magmatic water (Li and Costa, 2020, Humphreys et al., 2021...