# MAT-24803 Mathematics in Biotechnological Systems

## Course

Credits 3.00

Teaching method | Contact hours |

Lectures | 24 |

Practical intensively supervised | 12 |

Course coordinator(s) | dr. M de Gee |

dr. ir. AJB van Boxtel | |

Lecturer(s) | dr. M de Gee |

dr. ir. AJB van Boxtel | |

Examiner(s) | dr. M de Gee |

dr. ir. AJB van Boxtel |

### Language of instruction:

Dutch

### Assumed knowledge on:

MAT-14903 and MAT-15003

### Continuation courses:

Signals and Systems Modeling

### Contents:

Study of biotechnological systems requires mathematical and systems knowledge for analysis and interpretation of the behaviour. In this course the basic concepts that reveal the behaviour of systems as gene networks, cell fluxes and bioreactors are discussed. The course is based on a systems approach for defining subunits of the systems, and uses differential equations to find the time behaviour of the systems. Matrix calculus that supports these techniques and methods for the interpretation of results and data obtained from experiments are discussed. The practicals concern simulation exercises to solve the differential equations numerically and to interpret the results and experimental data.

### Learning outcomes:

After this course the student is expected to:

- have working knowledge of concepts, methods and techniques from mathematics and system theory;

- be able to apply mathematical knowledge, insights and methods to solve mathematical problems in biology and biotechnology using a systematic approach;

- be able to critically reflect upon the results;

- be able to interpret the results in terms of the (physical, chemical, biological) problem that was modelled mathematically;

- be able to evaluate mathematical models for problems in biology and biotechnology;

- be able to use mathematical software (Mathcad) in elaborating mathematical models.

### Activities:

- preparing for lectures by self-study and doing exercises;

- active participation in lectures;

- doing the exercises;

- computer practical (compulsory).

### Examination:

Written exam with open questions and/or multiple choice questions.

### Literature:

Reader 'Mathematics in biotechnological systems' and practical manual.

Programme | Phase | Specialization | Period | ||
---|---|---|---|---|---|

Compulsory for: | BBT | Biotechnology | BSc | 5MO | |

BAT | Biosystems Engineering | BSc | 5MO |

Minor | Period | ||
---|---|---|---|

Compulsory for: | WUBIT | BSc Minor Biotechnology | 5MO |