Mathematics applied to Biological and Medical Sciences

Coordinators: L. Almeida and M. Thieullen

The Mathematics Applied to Biological & Medical Sciences (MBIO in French) Major is one of five Majors offered by the speciality of Mathematical Modeling, a second-year Master's degree of Mathematics and its Applications.

The MBIO Major focuses on simulation and modeling for life sciences, relying on the tools of deterministic and stochastic analysis. The goal of this Major is not to cover all the "Life sciences", but to give a global view of the “continuous” tools and their applications, including questions of fundamental biology and biomedical applications.

Both of these aims are included in this course: the training of researchers in "Mathematics for Biology", and direct opportunities in Biotechnology.

Students who plan to start a thesis will find many research subjects and financial aid. They are proposed by Mathematics, Scientific Computing, Biology or Medicine research groups.

The students who decide to stop their studies after completing a Master's degree will nevertheless have seen fascinating scientific problems, where mathematics is a fundamental tool to deal with the complexity of the phenomena examined. Nowadays, many laboratories, institutes and companies use modeling and offer internships in this area.

Students who make a definitive decision concerning the choice of the MBIO Major before the basic courses begin, can replace one or two of the proposed basic courses by the following courses (referred to as "Basic (other speciality)" ) :

This choice must first be approved by the coordinators of the speciality and of the Major.

Course title Lecturer(s) Type Course Code
Mathematical methods in Biology Benoit Perthame Fundamental 5MM03
Elliptic equations Didier Smets Fundamental 5MM47
Probabilistic Numerical Methods Julien Reygner Fundamental 5MM35
Statistics and Learning Lorenzo Zambotti Fundamental 5MA06
Application of Inverse Problem Methods to Population Dynamics Philippe Moireau & Marie Doumic Fundamental 5MM19
Control in Finite and Infinite Dimension Emmanuel Trélat Fundamental 5MM53
Stochastic Analysis, Asymptotic of Partial Differential Equation, Application to Big Data in Molecular and Cellular Dynamics and Neuroscience David Holcman Fundamental (external) 5MM31
Some Mathematical Methods for the Neurosciences Etienne Tanré & Romain Veltz Fundamental (external) 5MM22
Randomised trees for evolutionary biology Amaury Lambert Specialised 5MA11
Reaction-diffusion equations and dynamics of biological populations Henri Berestycki Specialised 5MM05
Propagation of evidence in bayesian networks, application to medical science Gregory Nuel Specialised 5MA12
Modelling of growth and regeneration processes in multi-cellular tissues involving agent-based models Dirk Drasdo Specialised 5MM20
Models and methods in the neurosciences Michèle Thieullen Specialised 5MM51
Modelling and numerical methods in hemodynamics Miguel Fernandez Specialised 5MM26
Stochastic models of molecular biology Philippe Robert Specialised
Growth models for biological tissues Luis Almeida Specialised 5MM39
Stochastic calculus (other speciality) Zhan Shi Basic (other speciality) 5MM48
Markov Process, application to population dynamics (other speciality) Irina Kourkova Basic (other speciality) 5MM32