We use a first order model obtained after a suitable change of variables.
The results of the exploratory analysis suggested to use a first order autocorrelation structure both for mortality and hospital admissions.
The simplest way to describe this assumption is to use a second order equation, (7) with T opt = 11.8°C [ 12].
For each gene, we use a second order ODE with location-dependent coefficient to model that gene's transcription process.
Mechanical properties of the electrospun fibers were correlated with these variables using a third order polynomial function.
Sampling rate was 256 samples per second using a third order filter and a 60 HZ notch filter.
Amplified electrode voltages were digitally filtered using a third order Butterworth filter with a passband of 300 5000 Hz.
When not otherwise specified, we use a third-order Birch-Murnagan relation with V 0 = 22.468 Å3/unit cell (Dewaele et al. 2006), K 0 = 155 GPa and K' = 5.37 (Sakai et al., 2014) as the reference hcp-Fe EOS.
For the high-order solution we use a fourth-order time- and space-centred scheme.
In a nonsmooth setting, it is natural to use a second-order subdifferential construction.
We use a second-order projection method which implements a second-order upwinded procedure for differencing the convection terms.
