Add to Watchlist
Branching random walks applied to antibody affinity maturation
3 views
Citation of segment
Embed Code
Formal Metadata
Title  Branching random walks applied to antibody affinity maturation 
Title of Series  Les Probabilités de Demain 
Part Number  10 
Number of Parts  17 
Author 
Balelli, Irene

License 
CC Attribution 3.0 Unported: You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
DOI  10.5446/20266 
Publisher  Institut des Hautes Études Scientifiques (IHÉS) 
Release Date  2016 
Language  English 
Content Metadata
Subject Area  Mathematics 
Abstract  Antibody affinity maturation is a key process in adaptive immunity: it’s a mechanism which allows Bcells to produce high affinity antibodies against a specific antigen. Besides the biological motivations, the analysis of this learning process brought us to build a mathematical model which could be relevant to model other evolutionary systems, but also gossip or virus propagation. Our aim is to propose and analyze a mathematical model of the divisionmutationselection process of Bcells during an immune response. In particular, we investigate how the combination of various mutation models influences the typical timescales characterizing the efficiency of the state space exploration. Our method is based on the complementarity between probabilistic tools and numerical simulations. 
Series
Annotations
Transcript