CBCGS [2019 - current]

CBGS [2015 - 2018]

Old [2000 - 2014]

## Topics with syllabus and resources

100.00 Basic Modelling Principles

- Introduction
- definition of Modelling and simulation
- different types of models
- application of mathematical modelling
- fundamental laws: continuity equation, energy equation, equation of motion, transport equation, equation of state, Phase and chemical equilibrium, chemical kinetics with examples

200.00 Mathematical Models for Biochemical Engineering Systems

- Batch Reactor, CSTR isothermal with cooling/heating jacket or coil, Continuous Stirred Tank Bioreactor, Fed Batch reactor, Batch distillation

300.00 Numerical Methods

- Solution of linear algebraic equations by Cramer’s rule, Gauss elimination, Gauss siedel iterative method
- Solution of Non algebraic equations by Bisection method, Newton Raphson, Secant Method
- Numerical integration: Trapezoidal rule, Simpson’s 1/3 rule, Simpson’s 3/8 rule, Euler’s method, Runga Kutta method Basic data analysis-curve fitting

400.00 Modelling Approaches for Biological Systems

- Growth kinetic Models - structured and unstructured systems;
- Compartment models;
- Deterministic and stochastic approaches for modelling structured systems
- Thermal death kinetics models, Stochastic Model for thermal sterilization of medium

500.00 Modelling

- Modelling for activated sludge process
- Model for anaerobic digestion
- Model for lactic acid fermentation, antibiotic production, Ethanol fermentation