Optimal Control Theory and Differential Games
Game theory is a theory of conflict and cooperation between rational decision makers. It relies heavily on mathematical models and has proven useful to address problems of conflict and cooperation in economics and management science, as well as other areas of our life.
Optimal control theory is a branch of mathematics developed to control a dynamic system. It deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved.
Protein-Protein Interaction Data Analysis
The protein-protein interaction data is processed using feature selection and classification methods so that a certain type of interaction can be labeled as structural, enzymatic, antibody, or non-biological. working on multiple similar objects identification in one image using Evolution Strategies.
Statistics and Modern Approaches
Modern approaches to hypothesis testing, and in critique of the standard P-value significance tests of null hypotheses, the exercises in which can be defined as mathematical impossibilities making H0 testing a technical hoax. Identification and critique of contemporary misinterpretation of the P-value, and questioning the value of probabilistic approaches to data analysis as compared with a scientific repeated data approach. Effect size estimation and identifying bias in effect size estimates. Production of public domain software for statistical analysis and effect size computations.
Knot theory is a field of topology that that studies mathematical knots. One ongoing research in the department is modeling protein-DNA interactions. The enzymatic mechanisms are modeled using knot theoretical concepts. Do you know that DNA can be knotted?
page last updated 4/23/2015 12:40 PM