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We have identified two metrics for quantifying deviations from homeostasis: a global metric, denoted by Δ, and a time dependent, termed the Transcription State denoted by Δ t).
New correlations, incorporating a time-dependent term, have been developed to compensate for the time required for the bed to achieve equilibrium sorption capacity.
Equation (15) does not have a time-dependent term, and it is a CW diffusion equation.
Adding a time-dependent term also did not model the data adequately, since this non-proportionality was caused by a short early drop in the Kaplan-Meier curve for TTDP in the low RTDI group.
The time dependent term in the governing equation is integrated with the WBZ-α method.
We assessed the proportional hazard assumption by including time dependent terms in the unadjusted model and measuring the global effect.
Substituting equations (28) and (29) into equations (22) and (23) and matching time dependent terms results in the explicit formulae (6)–(11), which generalise those in [ 10].
The method is based on an analytical solution to the Boussinesq equation linearized in terms of h2, where h is the water table elevation, with a time-dependent source term.
Note also that for heat conduction in nanofluids, there is a time-dependent source term in the dual-phase-lagging heat conduction (Eqs. 14 and 15).
Note also that, for heat conduction in nanofluids, there is a time-dependent source term F r, t) in the DPL heat conduction (Equations (12) and (13)).
The models include a time-dependent forcing term which arises from the eccentric mounting of the gears acting at the gross rotation rate.
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