General derivation of the equation for time to reach a certain fraction of steady state. J Pharm Sci 1982;71:474-475.Perrier D and Gibaldi M (1982) General derivation of the equation for time to reach a certain fraction of steady state. J Pharm Sci 71:474-475....
A new analytical solution of the flow equation has been developed to estimate the time to reach a near-equilibrium state in mixed aquifers, i.e., having unconfined and confined portions, following a large hydraulic perturbation. Near-equilibrium is defined as the time for an initial aquifer pert...
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Active systems comprise entities that dissipate energy to exert forces on their environment. This energy flux drives them far from thermal equilibrium. As such, their steady state escapes Boltzmann statistics and their dynamics breaks time-reversal symmetry. The entropy production rate is a versatile ...
This paper studies the numerical simulations for the Cahn-Hilliard equation which describes a phase separation phenomenon. The numerical simulation of the Cahn-Hilliard model needs very long time to reach the steady state, and therefore large time-stepping methods become useful. The main objective of...
They can instead involve a smooth transition to an intersecting steady state (transcritical) or to oscillations with gradually increasing amplitude (supercritical Neimark–Sacker). Predicting the type of bifurcation provides information on the nature of the dynamics following the bifurcation, something ...
(\eta \)and\(\omega \)are periodic. We then show that such oscillation of the body induces time-periodic motion of the fluid with the same period as we would expect. One can also put a periodic external force in the equation of motion, however, it is assumed to be absent for ...
When we are writing models that use delta delays, we can use postponed processes to describe “steady state” behavior at each simulation time. The normal processes are executed over a series of delta delays, during which signal values are determined incrementally. Then, when all of the signals...
Temporal variation is especially informative when the birth rate is much larger than the death rate; temporal variation is less meaningful when populations fluctuate about a steady-state abundance or go extinct26. Traditionally it has been difficult to measure the growth rate of bacteria at small ...
Following the Prigogine's procedures concerning the Brusselator model, the phenomenological model of the ozone layer leads to a system of non-linear differential equations. The steady-state solution of the system outlines the fact that the ozone layer can reach a steady state in the far ...