Nevertheless, at high densities and pronounced habitat heterogeneity, FAR became more efficient than FSC, do not requiring the decay rates, allowing accurate estimates in a few months when applied with the proper effort and environmental conditions.
Such a characteristic length requires a high decay rate of around d≃0.06 s −1(corresponding to a half-life of 12 sec), to compensate for the fast diffusion, or alternatively, a reduced diffusion coefficient of 0.01 μm/s, to compensate for the slow decay.
Further analyses using a larger sample size or high coverage data of mRNA decay rate are required to reach a definite conclusion.
To my knowledge at least, this idea has not previously been explored and it is clear that the tension between the various ways that decay rate enters the problem requires the sort of quantitative analysis presented here.
As mentioned previously, the realization of the strong coupling interaction requires that the coupling coefficient g exceeds the intrinsic decay rate of the nanocavity mode κ.
The background decay rate reflects the decrease in infective viruses due to the exhaust airflow required to maintain negative pressure within the chamber, as well as any physical and non-UVC-related biological decay of the virus aerosol.
Measurements required to parameterize such models are reduced to mutational rates and effects in one baseline environment and the decay rate of the wild type in each environment.
Here, the decay rate can be a finite positive constant in a range and the derivative of time-varying delays is only required to have an upper bound which is not required to be less than 1.
For exponential stability, it is required that all solutions starting near an equilibrium point not only stay nearby, but tend to the equilibrium point very fast with exponential decay rate.
In the case of exponential stability, it is required that all solutions starting near an equilibrium point not only stay nearby, but tend to the equilibrium point very fast with exponential decay rate; see [2 4, 6, 12, 14, 15, 23].
