Random walks on binary strings applied to the somatic hypermutation of B-cells

I Balelli, V Milišić, G Wainrib - Mathematical biosciences, 2018 - Elsevier
Within the germinal center in follicles, B-cells proliferate, mutate and differentiate, while
being submitted to a powerful selection: a micro-evolutionary mechanism at the heart of …

Evolutionary walks on rugged landscapes

CA Macken, PS Hagan, AS Perelson - SIAM Journal on Applied Mathematics, 1991 - SIAM
The rapid evolution of antibody molecules during an immune response enables the immune
system to respond efficiently to an immense variety of challenges. To investigate this …

Antigen-driven selection in germinal centers as reflected by the shape characteristics of immunoglobulin gene lineage trees: a large-scale simulation study

G Shahaf, M Barak, NS Zuckerman, N Swerdlin… - Journal of theoretical …, 2008 - Elsevier
During the immune response, the generation of memory B lymphocytes in germinal centers
involves affinity maturation of the cells' antigen receptors, based on somatic hypermutation …

[HTML][HTML] A branching stochastic evolutionary model of the B-cell repertoire

O Hyrien, NM Yanev - Journal of Mathematical Biology, 2024 - Springer
We propose a stochastic framework to describe the evolution of the B-cell repertoire during
germinal center (GC) reactions. Our model is formulated as a multitype age-dependent …

A stochastic model of B cell affinity maturation and a network model of immune memory

T Szabados, G Tusnády, L Varga, T Bakács - arXiv preprint arXiv …, 2015 - arxiv.org
Many events in the vertebrate immune system are influenced by some element of chance.
The objective of the present work is to describe affinity maturation of B lymphocytes (in which …

Activated germinal centre B cells undergo directed migration

MJ O'Connor, AE Hauser… - … journal of data …, 2011 - inderscienceonline.com
Affinity maturation, the fundamental basis for adaptive immunity, is accomplished through
somatic hypermutation of B-cell receptors followed by expansion of rare mutants with higher …

Immune system learning and memory quantified by graphical analysis of B-lymphocyte phylogenetic trees

DK Dunn-Walters, H Edelman, R Mehr - BioSystems, 2004 - Elsevier
The immune system learns from its encounters with pathogens and memorizes its
experiences. One of the mechanisms it uses for this purpose is the intra-individual evolution …

Adaptive evolution on neutral networks

CO Wilke - Bulletin of mathematical biology, 2001 - Elsevier
We study the evolution of large but finite asexual populations evolving in fitness landscapes
in which all mutations are either neutral or strongly deleterious. We demonstrate that despite …

Immune recognition dynamics of a primary infection

R Morán-Tovar, M Lässig - arXiv preprint arXiv:2304.02794, 2023 - arxiv.org
The immune response to an acute primary infection is a coupled process of antigen
proliferation, molecular recognition by naive B-cells, and their subsequent proliferation and …

Multi-type galton–watson processes with affinity-dependent selection applied to antibody affinity maturation

I Balelli, V Milišić, G Wainrib - Bulletin of mathematical biology, 2019 - Springer
We analyze the interactions between division, mutation and selection in a simplified
evolutionary model, assuming that the population observed can be classified into fitness …