Sentence examples for exponential transition from inspiring English sources

When plotting the ICP time-pressure burden plot after 2007, the approximately exponential transition curve remained, albeit with shifts in the thresholds.

Note that the key differences with the general LDP (29) for the first-exit problem are that (32) yields a precise prefactor for the exponential transition time and uses the explicit form of the good rate function for gradient systems.

Culture samples for microarray experiments were collected at exponential, transition, and stationary phases.

An important characteristic of evolution in repetitive batch culture is cells go through distinct phases of lag, exponential, transition and stationary growth under a given selection pressure.

Thus, the blocking effectiveness starts at ε1 (for t ≤ t1), and changes with an exponential transition to ε2 (after (t-t1) >>1/k).

Specifically for the mixed sugar fermentation with multiple sampling time points, the exponential, transition, and stationary time points without acetate supplementation are 7, 12, and 36.5 h post inoculation, whereas the exponential, transition, and stationary time points with acetate supplementation are 11.5, 21, and 59 h post inoculation.

Given the discrete nature of our system, we cannot expect a smooth Gaussian-to-exponential transition in the population profile.

Accordingly, the population of the first excited state of a given resonator was analyzed, however, due to the discrete nature of our system, one could not expect a smooth Gaussian-to-exponential transition in the population profile.

The time points of sampling were corresponded to middle-exponential, exponential-stationary transition and stationary phases of the cell growth, respectively [ 9].

As described previously, Synechocystis was grown in BG11 supplemented with 0.20% (v/ v) butanol and cell samples of both control and butanol treatment were collected by centrifugation (8,000 × g for 10 min at 4°C) at 24 h, 48 h and 72 h, corresponded to middle-exponential, exponential-stationary transition and stationary phases of the cell growth, respectively.

Growth parameters and gene expression were measured at three time points, early-exponential (Q1), transition from exponential to stationary-phase (Q2), and stationary-phase (Q3).