Modelling and Simulation in Mathematical Biology

Course offering details

Instructors: Dr. rer. nat. Alf Gerisch

Event type: Lecture & Exercise

Org-unit: Dept. 04 - Mathematics

Displayed in timetable as: Mod. Math. Biol.

Subject:

Crediting for:

Hours per week: 3

Language of instruction: German and English

Min. | Max. participants: - | -

Digital Teaching:


  • Lecture notes for preparation and follow-up of lectures and studying at home
  • Lectures via Zoom (with recording) and subsequent open discussion (without recording)
  • Exercise sessions and office hours via Zoom or Discord
  • Forums for questions as well as all materials for the course available in Moodle

Course Contents:


  • Typical fields of application
    Population dynamics and kinetics of biochemical reactions, pattern formation, modelling of tissue evolution.

  • Modelling techniques
    Continuum models; diffusion-reaction systems; Turing instability; chemotaxis and cell adhesion; positivity and mass conservation.

  • Simulation techniques
    Method of lines; advection-dominated problems; nonlocal terms; sensitivity analysis.

Literature:
Lecture notes for the course including further reading list.

Preconditions:
recommended: Numerical Analysis of Ordinary Differential Equations

Further Grading Information:
All further information and materials for the course are provided in the corresponding Moodle course.

Online Offerings:
moodle

Small group(s)
This course is divided into the following small groups:
  • Modelling and Simulation in Mathematical Biology Exercise

    Dr. rer. nat. Alf Gerisch

    Wed, 4. Nov. 2020 [13:30]-Wed, 10. Feb. 2021 [15:10]

Literature
Appointments
Date From To Room Instructors
1 Tue, 3. Nov. 2020 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
2 Tue, 10. Nov. 2020 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
3 Tue, 17. Nov. 2020 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
4 Tue, 24. Nov. 2020 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
5 Tue, 1. Dec. 2020 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
6 Tue, 8. Dec. 2020 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
7 Tue, 15. Dec. 2020 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
8 Tue, 12. Jan. 2021 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
9 Tue, 19. Jan. 2021 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
10 Tue, 26. Jan. 2021 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
11 Tue, 2. Feb. 2021 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
12 Tue, 9. Feb. 2021 11:40 13:20 >Digitaler Veranstaltungstermin Dr. rer. nat. Alf Gerisch
Class session overview
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Instructors
Dr. rer. nat. Alf Gerisch