Stochastic fluctuations of molecule numbers are ubiquitous in biological systems. Important examples include gene expression and enzymatic processes in living cells. Such systems are typically modelled as chemical reaction networks whose dynamics are governed by the Chemical Master Equation. Despite its simple structure, no analytic solutions to the Chemical Master Equation are known for most s...

This paper proposes a novel data structure for equationbased plant models. The data structure facilitates the plant modelling process starting from physics-based component creation through model simplification to Modelica model export.

A hybrid model incorporating process and system modelling characteristics has been developed and applied to the evolution of a theoretical estuary with a small lake basin, partially enclosed by a barrier with an entrance open to the sea. The one-dimensional model is capable of modelling changes in sedimentation both spatially and temporally and hence, tracks changes in crosssection dimensions a...

A semi-empirical equation of state has been studied for modelling vapour-liquid data of pure substances. The specific molecular based equation of state is employed here as basis because of its mathematical simplicity. The semi-empirical extension has been accomplished to real fluids by correlating the density dependence of the attraction term to vapour liquid data of a reference fluid. The resu...

Pipes are widely used in many industrial and mechanical applications and devices. Although there are many different constructions according to the specific application and device, these can show helical pattern, such as spiral pipes, wire-reinforced pipes/shells, spring-suspension, and so on. Theoretical modelling of wave propagation provides a prediction about the dynamic behavior, and it is f...

The mathematical properties of a nonlinear parabolic equation arising in the modelling of non-newtonian flows are investigated. The peculiarity of this equation is that it may degenerate into a hyperbolic equation (in fact a linear advection equation). Depending on the initial data, at least two situations can be encountered: the equation may have a unique solution in a convenient class, or it ...

in traditional bazaars social interactions, parallel to economic and movement interactions, created a mixed urban space which was dynamic, lively and attractive to the audience. however, modern shopping centers and shopping malls are economy focused and void of variety of urban spaces like traditional bazaars. the presence of public open spaces and urban squares undetectable from traditional ba...