SubjectsSubjects(version: 902)
Course, academic year 2021/2022
Mathematical Models of Chemical and Pharmaceutical Processes - P111009
Title: Matematické modely chemických a farmaceutických procesů
Guaranteed by: Department of Organic Technology (111)
Actual: from 2020
Semester: summer
Points: summer s.:0
E-Credits: summer s.:0
Examination process: summer s.:
Hours per week, examination: summer s.:0/0 [hours/week]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
For type: doctoral
Note: course is intended for doctoral students only
can be fulfilled in the future
Guarantor: Zámostný Petr prof. Ing. Ph.D.
Annotation -
Last update: Fialová Jana (24.04.2020)
Subject is focused on getting PhD students of technological study programs familiar with mathematical modeling techniques and with the mathematical modeling applications for study, analysis, and optimization of chemical and pharmaceutical processes. Subject offers an overview of mathematical modeling techniques, as well as demonstration of implementation and application of various models.
Aim of the course -
Last update: Fialová Jana (24.04.2020)

Students will be able to:

  • select appropriate mathematical modeling technique for specific problem solving
  • establish mass, energy, and momentum balance equations for complex dynamic systems
  • implement simple mathematical models in Matlab environment

Literature -
Last update: Fialová Jana (24.04.2020)

R: Ingham J., Dunn I. J., Heinzle E., Přenosil J. E.: Chemical Engineering Dynamics - Modelling with PC Simulation, VCH, Wienheim 1994.

A: Hickey A. J., Ganderton D: Pharmaceutical Process Engineering, Marcel Dekker 2001.

A: Fogler H. S.: Elements of Reaction Engineering, Prentice Hall, New Jersey 2000.

Syllabus -
Last update: Fialová Jana (24.04.2020)

1. Introduction to matematical models, types of models

2. Empirical and mechanistical models

3. Modeling fluid dynamics

4. Heat and mass transfer models

5. Models of complex reaction systems and heterogeneous catalytic systems

6. Models of processes involving particulate solids

7. Models optimization

8. Identification of mathematical model parameters

9. Model discrimination

10. Artificial neural networks

11. Probabilistic models

Course completion requirements -
Last update: Fialová Jana (24.04.2020)

Project based on development of mathematical model of specified system and successful project discussion.