The SOMA2 environment [1 3] is a web server based system offering a framework for integrating molecular modelling applications, including molecular data exchange.
These areas are somewhat unique as their progenitors (Fisher [ 3], Pearson [ 4], and Jeffreys [ 5]) were mostly applied scientists who wrestled with the need to interpret real world experiments and data in the context of scientifically rooted mathematical or probability models, with applications including early population genetics, time series analysis, biometry and toxicology.
We consider modelling and other applications, including the role of nearest neighbourhood in experimental design, the representation of connectivity in maps, and a new method for performing field surveys using hexagonal grids, which was demonstrated on montane heath vegetation.
Recently, it has also been proved that fractional differential equations are significant and essential tools when applied in the study of nonlocal or time-dependent processes and in the modeling of many applications, including chaotic dynamics, material sciences, mechanic of fractal and complex media, quantum mechanics, physical kinetics, chemistry, biology, economics and control theory [8].
Next, a modified total/scattered field FDTD approach will be applied to the modeling of biophotonics applications including optical phase contrast microscope (OPCM) imaging of cells containing gold nanoparticles (NPs) as well as its potential application as a modality for in vivo flow cytometry configurations.
Building dynamic models is important in many applications including model-based design, optimization, and control.
Thereby, HDD can complement established tools and in vitro models in important applications including drug screening and biomaterial development.
Participatory modeling is a methodology that leverages the principles of user-oriented design to ensure that computational applications, including modeling, simulation, and informatics technologies, are comprehensible to stakeholders in a decision space.
This paper provides a critical review of the commonly used computational fracture models in structural engineering applications including: (a) Rice and Tracey void growth model; (b) stress modified critical strain criterion; (c) Gurson-Tvergaard-Needleman model and (d) weakly coupled ductile fracture model.
