DYNAMICAL SYSTEM MODELLING
Dynamical System Modelling is a research group at Department of Mathematical Sciences. It was formerly known as Theoretical and computational modelling of complex system group. This group has been involved in research and developments for many years and have been successful in developing personnel and researchers who are competent in the related areas of mathematical and fuzzy modeling, high performance and computational modelling. Some of current research areas of groups include brain science, tumour growth modelling, effect of ionising radiation to cells, delay differential equations, fuzzy delay differential equation, and control for industrial applications.
Current Research Interest
- Visualization, monitoring, prediction and psychometric evaluation for human physiological and behavioral changes such as tumor growth, brain science and intelligence.
- Mathematical modeling of tumor growth by fuzzy delay differential equations. The study includes the analysis of the stability of steady state and also the numerical solution of the system.
- Classification of delay differential equations to solvable lie algebra.
- Theoretical Modelling of Epileptic Seizure Via Flat Electroencephalography.
- Mathematical modelling of the effect of ionising radiation. The aim of this research is to work on cell survival under radiation. Here we develop a more realistic mechanistic model of high and low dose ionising radiation damage. We use the framework of structured population theory. The study includes the stability analysis, bifurcation and also the numerical solution of the system by the aid of mathematical software C++, MATLAB or MAPLE.
- Analytical solution to mathematical m0del involving diffusion advection equation.
Address:
DYNAMICAL SYSTEM MODELLING RESEARCH GROUP
Department of Mathematical Sciences,
Faculty of Science, UTM,
81310 Johor Bahru,
Johor, Malaysia