Biomedical System Analysis

Students should be able to: 1. demonstrate the knowledge of the mathematical concepts applied in biomedical engineering, including linear relations and functions, systems of inequalities; 2. apply the best mathematical method for addressing a particular bioengineering problem; 3. formulate bioengineering problems in terms of appropriate mathematical modelling methods; 4. analyse biological data using appropriate mathematical methods; 5. evaluate the output of the mathematical modelling methods concerning the underlying biological processes; 6. manipulate experimental data using mathematical methods; and 7. assess the output of the mathematical analysis of a bioengineering problem.

Advanced mathematical concepts: linear relations and functions; systems of equations and inequalities; polar coordinates and complex numbers; exponential and logarithmic functions; iteration; statistics and data Analysis; limits, derivatives and integrals: applications of differentiation and integration. Mathematical methods and Models: numerical methods; finite differences; solutions of differential equations; role and application of models in biology and medicine. Computer simulations: Development of computer simulation techniques to study physiological system.