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Boundary conditions for compressible flow that preserve stability of the reduced order model are constructed.
Analytical expressions for the resulting amplitude dependent quality factor and the nonlinear damping parameter in a reduced order model are derived considering supports modeled as semi-spaces and as semi-infinite thin plates.
The results obtained by fitting the depolarization currents to the general kinetic order model are consistent with the existence of a space charge polarization mechanism with a distribution of trapping depths, which can be qualitatively described.
The β coefficients, which should be determined in the second order model, are obtained by the least square method.
However, correlation coefficients values for the pseudo-second-order kinetic and pseudo-first order model are close to 1.0.
The full equations for the reduced order model are given in the Additional file 1. Next, we conducted two parametric studies to verify that the system dynamics are monostable for a broad range of biologically realistic parameter values.
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A reduced order model is obtained using modal truncation.
A reduced order model is developed based on the mechanistic model of the process.
The Schott's pseudo second order model was effective in evaluating the swelling kinetics of hydrogel.
A second order model is proposed to determine the impact of these parameters.
The results showed that second order model was the most suitable one on the overall.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com