Objectives in terms of knowledge (course content) :

• Modeling life systems: the compartment model,
• The S.I.R. model in disease spreading,
• The prey / predator model in species regulation,
• Writing and solving differential equations of order 1 (simple and coupled) applied to biology,
• Writing and solving differential equations of order 2 (simple and coupled) applied to biology,
• Basic knowledges of numerical methods applied to functions and differential equations,
• Cross knowledge with Data Sciences courses in order to numerically solve coupled differential systems

Objectives in terms of skills :

The student will master the modeling of simple biological systems (bacterial growth, radioactive decay, fermentor, gene regulation, component cycles, …) using differential equations. He/she will be able to solve them using analytical and/or computational approaches.
 

Bibliography course supports :

• Mathématiques pour les Sciences de la Vie et de la Nature, JP. Betrandias, EDP Sciences
• Analyse, concepts et contextes : fonctions à plusieurs variables, Stewart, Ed. De Boeck Université