# Card-index course

## Introduction to Mathematical and Computational Models in Biology

### Introduction à la modélisation mathématique et computationnelle en biologie

#### Responsible Faculty: School of Biology (FBM-BIO)

Teacher(s): Sara Mitri

No timetable defined.

### Course

Autumn semester

10 hours per semester

Aperiodic

Teaching language(s): English, French

Public: On written demand

Credits: 0

### Objective

1. Be able to define what models are and when they are needed

2. Know the different types of mathematical and computational models and what each is useful for

3. Be able to recognize the basic forms of commonly used mathematical equations

4. Be able to solve simple mathematical equations

5. Know the steps involved in building a model from scratch

6. Know how to set up and analyse a simple model using R

7. Be able to interpret the results of a model and what they mean in biology

### Content

1. Introduction and philosophy of modeling

2. Recognizing mathematical equations

3. Solving equations and fitting data to a model

4. Mini-project building a simple model of an epidemic in R

5. Computational models of spatial patterns

6. Introduction to game theory

7. Revision and project presentations

### Evaluation

Written exam (1h)

Mini-project in groups of 3-4 students and 8-minute presentation of results (4h of work)

### Bibliography

Kokko, H. (2007) Modelling for Field Biologists and Other Interesting People. Cambridge : Cambridge University Press. Otto, S., Day, T. (2007) A Biologist's Guide to Mathematical Modeling in Ecology and Evolution. Princeton & Oxford: Princeton University Press.

**Accéder au plein texte (imprimé et/ou électronique) via la Bibliothèque cantonale et universitaire - Lausanne, site Unithèque:**

1. Otto SP, Day T. *A Biologist's Guide to Mathematical Modeling in Ecology and Evolution [Livre Électronique]*. Princeton University Press; 2007. [Lien RenouVaud]

2. Kokko H. *Modelling for Field Biologists and Other Interesting People [Livre Électronique]*. Cambridge University Press; 2007. [Lien RenouVaud]

### Programme requirements

Basic mathematics (will be revised during class)

Basics of R (will be revised during class)