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Comparison of numerical results with these obtained from engineering methods allows one to validate the empirical estimations based on strong simplifications.
Use of the FDI methods allows one to prevent the destruction of equipment and avoid great losses.
The use of these methods allows one to efficiently predict the coefficients of thermal expansion, and for the latter method, even to determine their temperature dependence from relatively short simulations.
Ancestral sequence reconstruction, using weighted parsimony and maximum likelihood methods, allows one to resurrect plausible models of extinct protein sequences in the laboratory.
For the weight matrices/energy matrices used in the study, see Additional file 1, Additional file 2, Additional file 3 and Additional file 4. The energy matrices constructed using each of the methods allows one to assign an estimated binding energy to a given site.
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The presented modelling methods allow one to evaluate a design from thermal, stiffness and durability points of view.
Component Mode Synthesis (CMS) methods allow one to reduce the order of the model at the subcomponent level.
The currently used methods allow one component to share common characteristics with only one group of components, which may be affected by the same source of failure.
Such methods allow one to engineer proteins with specificity for designed biological probes such as inhibitors, substrates or small molecule dimerizers.
The use of detailed mathematical methods allowed one to reconstruct the 3D structure of both fuel and air electrodes having 2D images as input.
The created methods allowed one to solve a number of important problems in various branches of the natural sciences.
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