The equilibrium input-output relation is A ∗ = N S 2 m 2 + S 2, which is a Hill equation with k=2.
In other words, for each reaction, the output follows the equilibrium input-output relation with probability 1- p, and with probability p, the output is zero.
I assume that, in a reaction cascade with deterministic dynamics, each reaction leads to the Michaelis-Menten type of equilibrium input-output given in Eq. (7).
If we let x= S/ m and y= A∗/ N, then we see that the reaction scheme here leads to an equilibrium input-output relation as in Eq. (4) that follows the Hill equation y = x k 1 + x k, with k=1.
The PTP values represent pseudo-equilibrium inputs in physiologically-based pharmacokinetics (PBPK) models of quickly transported chemicals.
During this period, the estimated drug CL is the main determinant of dosing, with the objective of maintaining the equilibrium between input and output as the tissues should already hold therapeutic antibiotic concentrations.
The uncertainty finally reached an equilibrium state, where input errors in original species age cohorts had little effect on the simulation outcomes.
We assume that the motif is initially at equilibrium with zero input so that in the absence of basal transcription none of the proteins in the motif are initially expressed.
A new noninvasive efficient graphical approach, called the relative equilibrium-based (RE) graphical plot, has been developed for tracer kinetics analysis, with equilibrium relative to input function; this method has been recently used to improve and simplify two of the most common approaches for C-PiB PET quantification [ 65].
$$\end{document} Now suppose that once the network has reached equilibrium, a new input pattern is presented to the network from a different point s′, and that this process is iterated multiple times so that the network samples over the space of inputs.
Plain stimuli may drive networks to the nearest equilibrium that accommodates this input, whereas adaptive stimulation may direct the space for exploration and force networks to a new balance, at a larger distance from the initial state.
