# Fiches de cours

## Mathematical mechanical biology

#### Enseignant(s) :

Lessinnes Thomas Olivier D.

English

#### Summary

The course will be split into three parts which will respectively cover bio-filaments, bio-membranes and morphoelasticity.

#### Content

-- statistical mechanics of different chains of growing complexity.

-- classical rod mechanics (Kirchhoff and Cosserat).

-- Geometry of surfaces and its application to mechanics.

-- Fluid bio-membranes.

-- Axisymmetric Membranes and Shells in linear and nonlinear elasticity.

-- Growth of rods.

-- A brief introduction to classical nonlinear elasticity.

-- Volumetric growth.

#### Keywords

nonlinear elasticity

growing bodies

bio-filaments

bio-membranes

Analysis I-III

Physics I

Physics II

#### Learning Outcomes

By the end of the course, the student must be able to:
• Develop models of different systems in the framework of continuum mechanics.
• Solve typical problems related to mechanics and growth.
• Propose well motivated approximations.

#### Expected student activities

Besides attending the lecture and exercice sessions (which are both recommended albeit not compulsory), the curious students will be strongly encouraged to also do some home reading.

#### Assessment methods

oral exam

"Dans le cas de l¿art. 3 al. 5 du Règlement de section, l¿enseignant décide de la forme de l¿examen qu¿il communique aux étudiants concernés."

#### Supervision

 Office hours No Assistants Yes Forum No

No

### Dans les plans d'études

• Mathématiques, 2018-2019, Bachelor semestre 5
• Semestre
Automne
• Forme de l'examen
Oral
• Crédits
5
• Matière examinée
Mathematical mechanical biology
• Cours
2 Heure(s) hebdo x 14 semaines
• Exercices
2 Heure(s) hebdo x 14 semaines

LuMaMeJeVe
8-9
9-10
10-11
11-12
12-13
13-14
14-15
15-16
16-17
17-18
18-19
19-20
20-21
21-22
En construction
Cours
Exercice, TP
Projet, autre

### légende

• Semestre d'automne
• Session d'hiver
• Semestre de printemps
• Session d'été
• Cours en français
• Cours en anglais
• Cours en allemand