Branching random walks on binary strings for evolutionary processes in adaptive immunity
Available in arXiv, 2018
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 rules in evolutionary processes and obtain estimates for the cover times of the branching random walk.
Recommended citation: Balelli, I., Milišić, V., Wainrib, G. (2018). Random walks on binary strings applied to the somatic hypermutation of B-cells. Mathematical biosciences, 300, 168-186.