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Because of bed entrainment, the elevation of ground surface (z) diminishes, and its time derivative can be computed based on different so-called "erosion" models, providing empirical or physically based equations for the entrainment rate (e r).
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Necessary corrections are introduced using matrix based equations allowing for proper evaluation of the measured GRB spectra.
This paper presents new and improved explicit regression-based equations for the critical and normal depths of open channels with different shapes.
The excellent agreement found for all properties represents a step forward to the extension and implementation of molecular-based equations for the accurate design of processes involving these complex mixtures with very modest computational effort.
The validity of these creatinine-based equations for the follow-up of renal function in patients with known renal disease is uncertain, notably during therapeutic interventions and data on this topic are scarce [ 7].
The development of mechanistic tissue composition-based equations for the prediction of Kp values and hence distribution in rat, dog, and human have revolutionized and more fully enabled the routine application of PBPK methods in early drug discovery.
In our base equation for the full sample, the estimated γ is −0.207 and highly significant, indicating that each 1 percentage point increase in local area unemployment (an increase in U of 0.01) is associated with a 0.002 lower MJH rate (i.e., a fifth of 1 %).
Physically based evolution equations for the local density of the statistically stored dislocations are formulated to describe the formation and dissolution of a dislocation structure under deformation.
It is based on equations for the turbulent kinetic energy and a length scale, both of which are time stepped through the simulation (Mellor and Yamada 1982).
The circuit model is simulated based on equations for the state variables θ(t), V LV t), V Ao(t), V A t), V V t), V sA t), and V sV t).
This disparity in stability at low pulse density was therefore attributed to the higher precision of the base equations for Hm (R2 = 0.85) and V (R2 = 0.83) that were more sensitive to increasing error in the underlying height metric than the less precise equation developed for D (R2 = 0.73).
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