Biomathematik (ILS-MA-M2)10 ECTS
(englische Bezeichnung: Biomathematics)
(Prüfungsordnungsmodul: Biomathematik)

Lehrveranstaltungen:

• • Biomathematik
    (Vorlesung, Lars Schewe, Di, 10:00 - 12:00, Übung 1 / 01.250-128; Do, 8:00 - 10:00, Übung 5 / 01.254-128)
  • Übung zur Biomathematik
    (Übung, Lars Schewe)

Inhalt:

• Systems of difference equations and of ordinary differential equations

• Existence and uniqueness of solutions, steady‐state solutions, linear stability analysis

• Qualitative behavior and phase plane analysis

• Discrete and continuous models for interacting populations (predator‐pray models, competition models, mutualism and symbiosis)

• Epidemic models and the dynamics of infectious diseases

• Reaction kinetics (mass‐action, enzyme kinetics)

• Regulation mechanisms in biological systems

• Excitable systems and dynamic behavior of neuronal membranes

Lernziele und Kompetenzen:

Students are able to

• analyse and simulate systems of ordinary differential equations

• possess profound knowledge in the area of mathematical modelling of processes in biology

• recognise the most important underlying mechanisms in biochemical and biophysical systems and give quantitative descriptions

• acquire problem‐oriented learning stategies and improve their skills in interdisciplinary approaches

Literatur:

• Systems Biology. A Textbook, Klipp, Liebermeister, Wierling, Kowald, Lehrach, Herwig,2010.

• A course in Mathematical Biology, de Vries, Hillen, Lewis, Müller, Schönfisch, 2006

Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:

1. 643#65#H
   (Po-Vers. 2012 | NatFak | Integrated Life Sciences: Biologie, Biomathematik, Biophysik (Master of Science) | Modulgruppen | MG1: Mathematische Modellierung und Systembiologie | Biomathematik)

Studien-/Prüfungsleistungen:

Biomathematik (Prüfungsnummer: 80901)

(englischer Titel: Oral Examination on Biomathematics)

Prüfungsleistung, Klausur, Dauer (in Minuten): 90, benotet, 10 ECTS

Anteil an der Berechnung der Modulnote: 100.0 %

weitere Erläuterungen:
paper and computer exercises as a measure of performance level

Erstablegung: WS 2017/2018, 1. Wdh.: SS 2018

1. Prüfer:

Lars Schewe