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Branching random walks applied to antibody affinity maturation

By Irene Balelli

Also appears in collection : Les probabilités de demain 2016

Antibody affinity maturation is a key process in adaptive immunity: it’s a mechanism which allows B-cells 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 division-mutation-selection process of B-cells during an immune response. In particular, we investigate how the combination of various mutation models influences the typical time-scales characterizing the efficiency of the state space exploration. Our method is based on the complementarity between probabilistic tools and numerical simulations.

Information about the video

  • Date of recording 5/17/16
  • Date of publication 5/22/16
  • Institution IHES
  • Format MP4

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