Publication

Modélisation numérique des formes d’équilibre d’un globule rouge

2013
Student Projects

Abstract

Nous nous proposons dans cette étude de valider le modèle introduit par Canham et Helfrich afin de décrire les formes d’équilibre statique d’un globule rouge. Selon ce modèle, la forme du globule rouge est solution d’un problème d’optimisation sous contrainte: minimisation de l’énergie de Canham Helfrich pour un volume et une aire fixés. Après avoir formaliser le problème matématiquement, nous dérivons la conditionn d’optimalité menant à une équation différentielle ordinaire non linéaire vérifiée par la forme du globule rouge. Nous traitons les cas bidimensionnel et tridimensionnel axismétrique. Nous présentons ensuite la méthodologie employée pour résoudre numériquement le problème et exploitons les résultats des simulations.

Official source

https://infoscience.epfl.ch/entities/publication/c93abb0d-2d1b-4d23-9b55-737b6b7969a7

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

2013
Student Projects

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/c93abb0d-2d1b-4d23-9b55-737b6b7969a7

About this result

Related concepts (5)

Danièle Bourcier

Danièle Bourcier (born 1946 in Anjou) is a French lawyer and essayist, who has contributed to the emergence of a new discipline in France: Law, Computing and linguistics. She is director of research emeritus at CNRS, leads the "Law and Governance technologies" Department at the Centre for Administrative Science Research (CERSA) at the University Paris II, and is associate researcher at the March Bloch Centre in Berlin and at the IDT laboratory of the Autonomous University of Barcelona.

Antoine Magnan

Antoine Magnan (13 June 1881 – 5 March 1938) was a French zoologist and aeronautical engineer who studied the flight of insects and birds for possible lessons to apply to powered flight. He is best known for a remark in his 1934 book Le Vol des Insectes ("Insect Flight") that insect flight was impossible. Magnan was born in the central 7th arrondissement of Paris on 13 June 1881. He qualified as a doctor of medicine and of science, and received the diploma of superior studies in zoology.

Schwarz lantern

In mathematics, the Schwarz lantern is a polyhedral approximation to a cylinder, used as a pathological example of the difficulty of defining the area of a smooth (curved) surface as the limit of the areas of polyhedra. It is formed by stacked rings of isosceles triangles, arranged within each ring in the same pattern as an antiprism. The resulting shape can be folded from paper, and is named after mathematician Hermann Schwarz and for its resemblance to a cylindrical paper lantern.