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math.PR2016
Multi-type Galton-Watson processes with affinity-dependent selection applied to antibody affinity maturation
Irene Balelli, Vuk Milišić, Gilles Wainrib
We analyze the interactions between division, mutation and selection in a simplified evolutionary model, assuming that the population observed can be classified into fitness levels…
math.PR2016★ 1 cited
Branching Random Walks on Binary Strings for Evolutionary Processes
Irene Balelli, Vuk Milisic, Gilles Wainrib
In this article, we study branching random walks on graphs modeling division-mutation processes inspired by adaptive immunity. We apply the theory of expander graphs on mutation ru…