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We discuss the origin of two classes of germinal centers that have been observed during humoral immune responses: Some germinal centers develop very well and give rise to a large number of high affinity antibody producing plasma cells.…

Biological Physics · Physics 2007-05-23 Michael Meyer-Hermann , Tilo Beyer

Lymphocyte selection is a fundamental operation of adaptive immunity. In order to produce B-lymphocytes with a desired antigenic profile, a process of mutation-selection occurs in the germinal center, which is part of the lymph nodes. We…

Analysis of PDEs · Mathematics 2015-01-28 Vuk Milisic , Gilles Wainrib

B cells and the antibodies they produce are vital to health and survival, motivating research on the details of the mutational and evolutionary processes in the germinal centers (GC) from which mature B cells arise. It is known that B cells…

During germinal center reactions the appearance of two specific zones is observed: the dark and the light zone. Up to now, the origin and function of these zones are poorly understood. In the framework of a stochastic and discrete model…

Biological Physics · Physics 2007-05-23 Michael Meyer-Hermann

The specific morphology of germinal centers is analyzed in the context of the optimization of the humoral immune response. The relevance of dark and light zones for the affinity maturation process is investigated in the framework of a…

Biological Physics · Physics 2007-05-23 Michael Meyer-Hermann

A central feature of vertebrate immune response is affinity maturation, wherein antibody-producing B cells undergo evolutionary selection in microanatomical structures called germinal centers, which form in secondary lymphoid organs upon…

Populations and Evolution · Quantitative Biology 2024-02-15 Bertrand Ottino-Loffler , Gabriel Victora

We introduce a new model for the dynamics of centroblasts and centrocytes in a germinal center. The model reduces the germinal center reaction to the elements considered as essential and embeds proliferation of centroblasts, point mutations…

Biological Physics · Physics 2009-09-25 Michael Meyer-Hermann , Andreas Deutsch , Michal Or-Guil

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 cell receptors with improved binding characteristics for…

Cell Behavior · Quantitative Biology 2007-05-23 Michael Meyer-Hermann , Philip K. Maini , Dagmar Iber

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. The construction of our mathematical framework is…

Probability · Mathematics 2018-01-04 Irene Balelli , Vuk Milišić , Gilles Wainrib

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 encountered some conflicts with experiments. To resolve these…

Populations and Evolution · Quantitative Biology 2015-05-18 Jingshan Zhang , Eugene I. Shakhnovich

The mammalian adaptive immune system has evolved over millions of years to become an incredibly effective defense against foreign antigens. The adaptive immune system's humoral response creates plasma B cells and memory B cells, each with…

Cell Behavior · Quantitative Biology 2021-06-21 Stephen Lindsly , Maya Gupta , Cooper Stansbury , Indika Rajapakse

Reaction systems are a computational model inspired by the bio-chemical reactions that happen inside biological cells. They have been and currently are studied for their many nice theoretical properties. They are also a useful modeling tool…

Formal Languages and Automata Theory · Computer Science 2020-08-05 Claudio Ferretti , Alberto Leporati , Luca Manzoni , Antonio E. Porreca

Haematopoiesis is the process of generation of blood cells. Lymphopoiesis generates lymphocytes, the cells in charge of the adaptive immune response. Disruptions of this process are associated with diseases like leukaemia, which is…

A new detailed mathematical model for dynamics of immune response to hepatitis B is proposed, which takes into account contributions from innate and adaptive immune responses, as well as cytokines. Stability analysis of different steady…

Populations and Evolution · Quantitative Biology 2018-05-16 F. Fatehi Chenar , Y. N. Kyrychko , K. B. Blyuss

The physical interpretation of the functioning of the adaptive immune system, which has been thoroughly characterized on genetic and molecular levels, provides a unique opportunity to define an adaptive self-organizing biological system in…

Molecular Networks · Quantitative Biology 2023-05-19 Jozsef Prechl

We present a hierarchical Bayesian inference approach to estimating the structural properties and the phase space center of a globular cluster (GC) given the spatial and kinematic information of its stars based on lowered isothermal cluster…

Astrophysics of Galaxies · Physics 2023-11-21 Robin Y. Wen , Joshua S. Speagle , Jeremy J. Webb , Gwendolyn M. Eadie

This paper studies a system of Ordinary Differential Equations modeling a chemical reaction network and derives from it a simulation tool mimicking Loss of Function and Gain of Function mutations found in cancer cells. More specifically,…

Molecular Networks · Quantitative Biology 2020-04-07 Sara Sommariva , Giacomo Caviglia , Michele Piana

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 adaptive immunity. A new foreign pathogen is confronted…

Probability · Mathematics 2016-02-12 Irene Balelli , Vuk Milisic , Gilles Wainrib

According to Jerne's idiotypic network hypothesis, the adaptive immune system is regulated by interactions between the variable regions of antibodies, B cells, and T cells.1 The symmetrical immune network theory2,3 is based on Jerne's…

Cell Behavior · Quantitative Biology 2014-03-07 Earnest Leung , Geoffrey W. Hoffmann

Follicle-stimulating hormone (FSH) and luteinizing hormone (LH) play essential roles in animal reproduction. They exert their function through binding to their cognate receptors, which belong to the large family of G protein-coupled…

Molecular Networks · Quantitative Biology 2018-08-07 Mohammed Akli Ayoub , Romain Yvinec , Pascale Crépieux , Anne Poupon
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