A major challenge for an inter-disciplinary program such as neuroscience is the integration of ideas within the disciplines to achieve a common goal. Apart from doing research in respective disciplines and catering to their audience, neuroscience as an inter-disciplinary field must cross the hurdle of discipline unification to achieve any significant strides in understanding the complexities of human brain. In other words, neuroscientists in their respective disciplines must build their research, and hence understanding, upon researches of their colleagues from other disciplines.
If we consider respective disciplines as rungs of a ladder, the objective of a neuroscientist should be to join the rungs for achieving the common goal of understanding how brain works. Taking the concept from systems theory this can be done on two accounts: model-order reduction (MOR) and scientific reduction (SR). MOR is the simplification of the amount of detail needed in obtaining computationally tractable models of ever more complex systems. Thus with MOR one moves towards increasing level of abstraction from mechanism to behavior. SR on the other hand is migrating scientific study and theory from the level of phenomena more directly observable by our senses to levels of increasingly refined scientific constructs.
This personal website contains tools needed for implementing systems theory approach in achieving the objective of linking the rungs. The tools are in the form of tutorials, lectures and miscellaneous notes. Description of my research is also provided.
|∙ Basic Concepts of Set Theory|
|∙ Information Theory|
|∙ Theory of dimensionless products|
|∙ Memory Layout of numpy's ndarray|
|∙ My Ph.D Dissertation|
|∙ My M.S Thesis|