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Mass flow and liquid area are calculated with a semi-implicit pressure based method and the transient terms are treated with the explicit first stage singly implicit Runge-Kutta (ESDIRK) method.
Linear system responses to stimulus have two components: steady-state terms that are directly related to the input and transient terms that are either exponential or oscillatory with an envelope of exponential form.
The method involves three design variables, the number of estimated transient terms, a number of auxiliary impulse response coefficients (that also are estimated), and the size of a frequency window.
An unsteady state hydrodynamic model is developed to study the transient behaviour of particles and liquid in a continuous liquid solid classifier by adding transient terms to the steady state hydrodynamic model proposed by Chen et al. (in: M. Kwauk, J. Li, W.-C. Yang (Eds)., Fluidization X.
The effect of the transient terms instantaneous local curvature, crack-tip speed, time derivatives of crack-tip speed, and time derivative of mode-I and mode-II stress intensity factors on the contours of constant out of plane displacement are also discussed.
A set of global shape functions is considered to approximate the pore pressure loading term in the poroelastic equation, the transient terms of pore pressure and displacements in the pore fluid flow equation to obtain the particular integrals for displacement, traction, pore pressure and flux.
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The pressure transient term, ∂p/∂t, is assumed to be negligible.
This pressure transient term is neglected in deriving the analytical solution presented below.
In order to fit the Glucose to Galactose time-series, we further included a transient term in the degradations of GAL4 and GAL80 that describes the starvation effect due to the washing of the cells before the medium shift [2].
Since the p i values for the EGFR and GPCR transfer functions are real and negative, the transient term- like the name suggests- exponentially reaches a value of zero.
Consistently, prolonged Ca2 + transient in terms of rise and duration are also observed in Δ160E trabeculae and isolated cardiomyocytes.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com