In the optimization formulation, three different types of the performance indices are considered as the objective function.
Based on the chemical structure and the method of formulation, three different types of biomaterials are identified, (i) solid scaffolds, (ii) hydrogels, and (iii) particles in solution.
Formulations for different types of gas solid non-catalytic reactions are given.
The results are useful in establishing rudimentary estimates of the error produced by using the variational mutliscale formulation for several different types of problems related to subsurface water resource systems.
Details about the mathematical formulation of the different types of statistics and their corresponding null-hypotheses are found in the Supplementary Material.
The performance of the new methods are investigate for tow types of static Hamilton-Jacobi formulations are investigated, the isotropic eikonal equation and an anisotropic formulation used to simulate different types of geological folding.
The formulation is applicable to different types of matrix material (e.g. brittle, perfectly-plastic, strain-hardening), which are modelled through generic piecewise-linear and fracture-mechanics consistent shear constitutive laws.
A dislocation-density grain boundary (GB) interaction scheme was coupled within a dislocation-density based crystal plasticity formulation to investigate how different types of CSL GBs affect dislocation-density evolution, plastic deformation, dislocation pile-up formation, TG and IG fracture, and fracture toughness.
Collagenase formulations as well as different types of gradient compounds have been identified as containing endotoxins in varying amounts [ 19].
Each formulation contained one of three different types of surface modified TiO2 NCs, which were WP-S (small sized hydrophilic TiO2NCs, ~10 nm), OP-S (small sized hydrophobic TiO2NCs, ~15 nm), and OP-L (large sized hydrophobic TiO2NCs, ~200 nm).
