We then use these values of (lbracealpha_{k,j}(t) rbrace) to formulate the time-dependent reduced master equation (Eq. (55)), and use an order-1.5 stochastic Runge-Kutta method [25] to integrate it.
By un-mixing the signals found in XDM by independent component analysis, we extract both the spatial distributions of BFO domains that respond synchronously to this waveform (a), but also find the onset of time-dependent reduced piezoelectric response due to polarization fatigue.
Similarly to the ATLAS trial, there was a time-dependent reduced risk of recurrence with 10 years of tamoxifen with RRs of 0.99 during years 5 to 6, 0.84 during years 7 to 9, and 0.75 subsequently.
However, after 90 min of exposure to CS, a time-dependent reduced survival of the SCC-25 cells (in PBS) and an increase in the protein oxidation level as measured by Western Blot for carbonyls were observed (survival loss of 61.6% (P<0.01)).
The transition probability for requiring a repeat procedure is time dependent and is reduced by a constant factor each month.
However, our multivariable analysis with exposure to warfarin, acetylsalicylic acid, and clopidogrel used as time dependent covariates only reduced the estimated hazard ratio by a small degree (from 1.18 to 1.14).
Cell cycle data showed that EAE primarily arrested cells in the G-1 phase in a dose and time dependent manner and reduced the percentage of cells in the S phase [ 28] and that cyclinD1 expression was markedly downregulated.
DR has been traditionally defined as a set of time dependent activities that reduce, shed or shift electricity use to improve electric grid reliability and manage costs, which mainly relies on customers' motivation for reducing electricity tariff [14].
Surprisingly, total protein synthesis decreased dramatically in a time dependent manner, and was reduced to less than 1% after 24 hours (Fig. 2A and 2B).
Treatment with the PI3K inhibitor restored anoikis sensitivity to the Tpr-Met-IEC-6 cells in a time-dependent manner, reducing their viability by close to 45% relative to DMSO-treated cells after 48 hours.
Then, employing Galerkin method, those equations have been reduced of time dependent differential equation with variable coefficients.
