Mathematical modeling of complex mechanical systems

Mathematical Modeling of Complex Biological Systems

To understand complex biological systems such as cells, tissues, or even the human body, it is not sufficient to identify and characterize the individual molecules in the system. It also is necessary to obtain a thorough understanding of the interaction between molecules and pathways. This is even truer for understanding complex diseases such as cancer, Alzheimer's disease, or alcoholism. With ...

Mathematical Modeling of the Temperature-Dependent Growth of Living Systems

In this investigation a non-equilibrium thermodynamic model of the temperature dependent biological growth of a living systems has been analyzed. The results are derived on the basis of Gompertzian growth equation. In this model, we have considered the temperature dependent growth rate and development parameter. The non-equilibrium thermodynamic model is also considered for exploring the variat...

Modeling and Control of Complex Dynamic Systems: Applied Mathematical Aspects

2. Mathematical Modeling of Complex Systems 2.1 Materials Science Applications

My research is in the area of applied mathematics with main focus on scientific computing and development of efficient models and numerical algorithms. My work reflects an interplay of rigorous mathematical theory with the complexity of real life phenomena. I have been fortunate to be part of several interdisciplinary projects and gained valuable research experience working with colleagues from...

Mathematical and Computational Modeling in Complex Biological Systems

The biological process and molecular functions involved in the cancer progression remain difficult to understand for biologists and clinical doctors. Recent developments in high-throughput technologies urge the systems biology to achieve more precise models for complex diseases. Computational and mathematical models are gradually being used to help us understand the omics data produced by high-...