Compared to the full space time model with imposed Dirichlet boundary conditions the interface dynamics is reduced, yet requires no approximations.
Fig. 17 Time-average magnetic field properties on the CMB (left) and on the surface of Mars (right) in a dynamo model with imposed outer boundary heat flux due to a polar impactor as in Fig. 16.
Experimental correlations for the parameters of the plug-flow model with imposed longitudinal dispersion, i.e. the longitudinal dispersion coefficient and the real mass-transfer coefficient, have been derived.
For partial Mayo score, a 1-point change corresponded to a mean change of: 0.31 points (P < 0.0001; patient preference assessment), 0.34 points (P < 0.0001; patient satisfaction assessment), and 0.32 points (P < 0.0001; patient willingness assessment) if a model with imposed linear relationship between the IBD PRTI item score and the partial Mayo score was used.
For the total Mayo score, a 1-point change corresponded to a mean change in Patient Preference Assessment of 0.24 points (P < 0.0001), 0.26 points in Patient Satisfaction Assessment (P < 0.0001) and 0.24 points in Patient Willingness Assessment (P < 0.0001) if a model with imposed linear relationship between IBD PRTI item score and the total Mayo score is used.
Those differences were: 1.2 points (P < 0.0001; Patient Preference Assessment), 1.4 points (P <0.0001; Patient Satisfaction Assessment), and 1.2 points (P < 0.0001; Patient Willingness Assessment) if a model with imposed linear relationship between IBD PRTI item score and Mayo endoscopy score was used.
Comparison of model prediction with imposed random correlation demonstrated biologic relevance of the model and the reduction of overfitting in DF.
The dynamo models with an imposed probabilistic tomography heat flux pattern are characterized by stronger magnetic and convective activity at low-latitude than the dynamo models with conventional tomography heat flux.
The fundamental principle was to establish several nested models with restrictions imposed gradually and prove the invariance of restricted parameters by comparing the differences of goodness of fit between these models based on assuming the previous model to be correct [ 38].
A preliminary modeling study has been conducted by using the SAMI3/ESF model with artificially imposed MSTID structures in off-equatorial regions (Krall et al. 2011).
