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- W1573113798 abstract "During the germinal center reaction, B lymphocytes proliferate, mutate and differentiate, while being submitted to a powerful selection, creating a micro-evolutionary mechanism at the heart of adaptive immunity. We introduce and analyze a simplified mathematical model of the division-mutation process, by considering random walks and branching random walks on graphs, whose structure reflects the associated mutation rules. In particular, we investigate how the combination of various division and mutation models influences the typical time-scales characterizing the efficiency of state space exploration for these processes, such as hitting times and cover times. Beyond the initial biological motivation, this framework is not limited to the modelling of B-cell learning process in germinal centers, as it may be relevant to model other evolutionary systems, but also information propagation in networks, gossip models or epidemic processes." @default.
- W1573113798 created "2016-06-24" @default.
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- W1573113798 date "2015-01-30" @default.
- W1573113798 modified "2023-09-27" @default.
- W1573113798 title "Branching random walks on binary strings and application to adaptive immunity" @default.
- W1573113798 hasPublicationYear "2015" @default.
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