Modeliing of biological systems
[GBIO2060]
[30h + 30h] 5 credits
This course is taught in the 1st semester.
Teacher(s): Georges Bastin, Philippe Lefèvre
Language: French
Level: Second
Aims
- to understand the basic elements of biology required to conceive mathematical models
- to understand and be able to model different categories of biological systems by using appropriate model types.
- to make a documented choice between different model types according to the application.
- to be able to use computer tools to implement the developed models and to simulate them numerically
Main themes
This course will first explain how to build a mathematical model in the biomedical field, from the basic laws of nature. It will describe how this design always implies an experimental approach aimed at getting data which will serve as a basis to develop the new model. The mathematical model will be presented as a tool allowing to explain the system's basic mechanism and allowing to predict the system behaviour when exposed to new stimuli.
The different steps of the development of a new model will be explained: initial observation, hypothesis, model testing and validation.
The different model types will be described and illustrated by examples: deterministic or stochastic; static, dynamic or chaotic; parametric or non-parametric; distributed or non-distributed.
These notions will be illustrated by examples of mathematical models in the biomedical field: models in physiology, compartmental models, and population models.
Content and teaching methods
Introduction
- To understand and model biological systems
- Model designing, test and validation
- Different types of models of biological systems
Method: theoretical course and practical work.
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)