My research is focused on mathematical modeling in the interdisciplinary areas of materials science and crystal growth and on development of advanced computational methods for tracking material/fluid surfaces and interfaces. Primarily, I am interested in modeling formation of a micro(nano)structure arrays as a result of the morphological (shape) instabilities of a solid film surfaces, material ...

Abnormal brain function in schizophrenia involves an extended network of brain structures. In schizophrenia, an abnormal dopamine activity in accordance with altered GABA and glutamate transmission appears to interfere with this process. In this study, we have examined the effect of dopamine hyperactivity on CA3 pyramidal cells using a mathematical model. Our simulation results show that while ...

The difference between international politics as it actually is and a rational theory derived from it is like the difference between a photograph and a painted portrait. The photograph shows everything that can be seen by the naked eye; the painted portrait does not show everything that can be seen by the naked eye, but it shows, or at least seems to show, one thing that the naked eye cannot se...

Explanations of human behavior are most often presented in a verbal form as theories. Psychologists can also harness the power and precision of mathematics by explaining behavior quantitatively. This chapter introduces the reader to how this is done and the advantages of doing so. It begins by contrasting mathematical modeling with hypothesis testing to highlight how the two methods of knowledg...

Consideration of the Current-voltage (I-V) characteristics variations of solar modules with temperature and irradiations variations is basic for maximum power point tracking (MPPT). Having a simple and accurate mathematical model for the optimize utilization of the solar modules is essential. In this paper, a novel modeling of photovoltaic systems with novel coefficients is proposed for mathema...

Consideration of the Current-voltage (I-V) characteristics variations of solar modules with temperature and irradiations variations is basic for maximum power point tracking (MPPT). Having a simple and accurate mathematical model for the optimize utilization of the solar modules is essential. In this paper, a novel modeling of photovoltaic systems with novel coefficients is proposed for mathema...

The paper presents a mathematical base modeling combined to Modified-Winding -Function-Approach (MWFA) for eccentricity fault detection of a round-rotor synchronous machine. For this aim, a 6-pole machine is considered, and the machine inductances are computed by MWFA in healthy and also under eccentricity fault. A numerical discrete-time method has been proposed to machine modeling in voltage-...