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 …

Mimicking the Strategy of the Immune System: Insight Gained from Mathematics

Z Agur, G Mazor, I Meilijson - Theoretical and Experimental Insights into …, 1992 - Springer
The humoral immune response to antigenic challenge involves a Darwinian process of
somatic mutations and selection for B-cells carrying higher affinity antibodies. Insufficient …

Mathematical modeling of lymphocytes selection in the germinal center

V Milisic, G Wainrib - Journal of mathematical biology, 2017 - Springer
Lymphocyte selection is a fundamental process of adaptive immunity. In order to produce B-
lymphocytes with a target antigenic profile, mutation selection and division occur in the …

A concerted action of B cell selection mechanisms

M Meyer–Hermann - Advances in Complex Systems, 2007 - World Scientific
Mathematical modeling of complex biological systems has been shown to lead to
contradictory results. Two completely different approaches are compared using a highly …

Robustness and evolvability of the b cell mutator mechanism

P Theodosopoulos, T Theodosopoulos - arXiv preprint q-bio/0506004, 2005 - arxiv.org
We present a model that considers the maturation of the antibody population following
primary antigen presentation as a global optimization problem. The trade-off that emerges …

An analysis of B cell selection mechanisms in germinal centers

ME Meyer-Hermann, PK Maini… - … medicine and biology: a …, 2006 - ieeexplore.ieee.org
Affinity maturation of antibodies during immune responses is achieved by multiple rounds of
somatic hypermutation and subsequent preferential selection of those B cells that express B …

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 …

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 …

Evolution at the edge of chaos: a paradigm for the maturation of the humoral immune response

PK Theodosopoulos, TV Theodosopoulos - Evolution as Computation …, 2002 - Springer
We study the maturation of the antibody population following primary antigen presentation
as a global optimization problem. Emphasis is placed on the trade-off between the safety of …

Optimality of mutation and selection in germinal centers

J Zhang, EI Shakhnovich - PLoS computational biology, 2010 - journals.plos.org
The population dynamics theory of B cells in a typical germinal center could play an
important role in revealing how affinity maturation is achieved. However, the existing models …