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The structural identifiability analysis of the model using the macroscopic concentrations at the gas and liquid phase shows that the identifiable parameters of the model are the gas hold-up, ɛ, the Henry's constant, H, the reciprocal of the diffusion time, D/δ2, and the volumetric mass-transfer coefficient, kLa.
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The lungs were first imaged using the macroscopic imaging system.
By writing the macroscopic concentrations in Eqs.
The second term gives the magnitude of stochastic fluctuations about the macroscopic concentrations.
This approximation is in wide-spread use mainly because of the simplicity of the result: the LNA solution is given by a Gaussian distribution describing the fluctuations around the macroscopic concentrations predicted by the REs.
The effective REs have information about the macroscopic concentrations of the slow species only, while the effective CME has information about the fluctuations of the slow species only.
This new FPE is the legitimate mesoscopic description of intrinsic noise about the macroscopic concentrations of the coarse-grained network as obtained by the deterministic QSSA.
Note that the time-dependence of the matrices in the above equations comes from that of the macroscopic concentrations of fast and slow species.
A new general method, the ssLNA, is derived and shown to correctly describe the statistics of intrinsic noise about the macroscopic concentrations under timescale separation conditions.
Thompson et al. used the macroscopic criteria we described.
Although the macroscopic concentration of Tb3+/Eu3+ activators is fixed at 4 at.% in this work, concentration difference exists among different crystal planes.
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