Based on our experience in kinetic modelling of coupled multiple metabolic pathways, we propose a generic rate equation for the dynamical modelling of metabolic kinetics. It is symmetric for forward and backward reactions. It’s Michaelis-Menten-King-Altman form makes the kinetic parameters (or functions) easy to relate to experimental values in database and to use in computation. In addition, s...

This paper presents the results of modelling the heat transfer process in heterogeneous media with the assumption that part of the heat flux is dispersed in the air around the beam. The heat transfer process in a solid material (beam) can be described by an integer order partial differential equation. However, in heterogeneous media, it can be described by a sub- or hyperdiffusion equation whic...

A semiclassical transport equation for electrons in a semiconductor crystal is considered. It includes a nonlinear scattering operator modelling electron-phonon interaction. A formal macroscopic limit under the assumption of a small phonon energy is carried out, leading to the so called spherical harmonics expansion (SHE-) model for an energy-dependent distribution function with a scattering op...

We study the structure of stationary solutions to the Doi-Onsager equation with Maier-Saupe potential on the sphere, which arises in the modelling of rigid rod-like molecules of polymers. The stationary solutions are shown to be necessarily a set of axially symmetric functions, and a complete classification of parameters for phase transitions to these stationary solutions is obtained. It is sho...

We propose a model for the aggregate stock market together with its dividend yield and earnings yield so that the ex-ante risk premium could be extracted in an unobserved component modelling framework. We posit the model as a linked stochastic differential equation system and the linking variable is the ex-ante risk premium. By hypothesising a realistic dynamic structure for the ex-ante risk pr...

A semiclassical transport equation for electrons in a semiconductor crystal is considered. It includes a nonlinear scattering operator modelling electron-phonon interaction. A formal macroscopic limit under the assumption of a small phonon energy is carried out, leading to the so called spherical harmonics expansion (SHE-) model for an energy-dependent distribution function with a scattering op...

The cobweb model of competitive market dynamics has been examined in the form of system dynamics model. The classical formulation of the cobweb demand-supply model has been transformed in the set of equations suitable for system dynamics modelling. The model has been expanded by the time parameter ∆t which enables the stability analysis of the model for the change in the ∆t. The structure of th...