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Predictions of a developed Monte Carlo based model are in good qualitative agreement with experimental observations.

The fatigue notch factors predicted using the new probabilistic mesomechanics based model are in good agreements with experimental for notched titanium alloy specimens subjected to cyclic loads with various stress ratios.

In addition, the prediction performance of AADC based model is shown in Table 3.

A fracture mechanics based model is proposed in order to estimate the required prestressing level needed to arrest the crack propagation in the notched beams.

A static trip-chain equilibrium based model is adopted in the paper to provide a better evaluation of the area-based tolls on trip-chain demands.

The premises on which the physiologically based model is founded are reviewed in this paper.

The methods for quantifying variable importance in neural network based model are used in many scientific fields.

The PDEs based model and the ODEs based model are shown in the next subsection.

The fact that tau pathology and tauopathy-associated behavioral abnormalities appear to occur independently of neuronal loss in our AAV-based model is in agreement with reports in other tau models, including the rTg4510 and humanized tau mouse models (50, 51), although future studies will need to assess whether neuronal loss is observed in the AAV1-TauP301L model beyond 6 months of age.

Studies from PBM, DEM to hybrid models, CFD and ANN based models were presented in terms of their performance and challenges.

The estimated parameters of the age-adjusted copula based model and correlation based models are summarized in Table 5.