A mathematical model for germinal centre kinetics and affinity maturation. 2002

Dagmar Iber, and Philip K Maini
Centre for Mathematical Biology, Mathematical Institute, 24-29 St Giles, Oxford OX1 3LB, UK. di205@cam.ac.uk

We present a mathematical model which reproduces experimental data on the germinal centre (GC) kinetics of the primed primary immune response and on affinity maturation observed during the reaction. We show that antigen masking by antibodies which are produced by emerging plasma cells can drive affinity maturation and provide a feedback mechanism by which the reaction is stable against variations in the initial antigen amount over several orders of magnitude. This provides a possible answer to the long-standing question of the role of antigen reduction in driving affinity maturation. By comparing model predictions with experimental results, we propose that the selection probability of centrocytes and the recycling probability of selected centrocytes are not constant but vary during the GC reaction with respect to time. It is shown that the efficiency of affinity maturation is highest if clones with an affinity for the antigen well above the average affinity in the GC leave the GC for either the memory or plasma cell pool. It is further shown that termination of somatic hypermutation several days before the end of the germinal centre reaction is beneficial for affinity maturation. The impact on affinity maturation of simultaneous initiation of memory cell formation and somatic hypermutation vs. delayed initiation of memory cell formation is discussed.

UI MeSH Term Description Entries
D007156 Immunologic Memory The altered state of immunologic responsiveness resulting from initial contact with antigen, which enables the individual to produce antibodies more rapidly and in greater quantity in response to secondary antigenic stimulus. Immune Memory,Immunological Memory,Memory, Immunologic,Immune Memories,Immunologic Memories,Immunological Memories,Memory, Immune,Memory, Immunological
D010950 Plasma Cells Specialized forms of antibody-producing B-LYMPHOCYTES. They synthesize and secrete immunoglobulin. They are found only in lymphoid organs and at sites of immune responses and normally do not circulate in the blood or lymph. (Rosen et al., Dictionary of Immunology, 1989, p169 & Abbas et al., Cellular and Molecular Immunology, 2d ed, p20) Plasmacytes,Cell, Plasma,Cells, Plasma,Plasma Cell,Plasmacyte
D002999 Clone Cells A group of genetically identical cells all descended from a single common ancestral cell by mitosis in eukaryotes or by binary fission in prokaryotes. Clone cells also include populations of recombinant DNA molecules all carrying the same inserted sequence. (From King & Stansfield, Dictionary of Genetics, 4th ed) Clones,Cell, Clone,Cells, Clone,Clone,Clone Cell
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000915 Antibody Affinity A measure of the binding strength between antibody and a simple hapten or antigen determinant. It depends on the closeness of stereochemical fit between antibody combining sites and antigen determinants, on the size of the area of contact between them, and on the distribution of charged and hydrophobic groups. It includes the concept of "avidity," which refers to the strength of the antigen-antibody bond after formation of reversible complexes. Affinity, Antibody,Antibody Avidity,Avidity, Antibody,Affinities, Antibody,Antibody Affinities,Antibody Avidities,Avidities, Antibody
D000941 Antigens Substances that are recognized by the immune system and induce an immune reaction. Antigen
D018448 Models, Immunological Theoretical representations that simulate the behavior or activity of immune system, processes, or phenomena. They include the use of mathematical equations, computers, and other electrical equipment. Immunological Models,Immunologic Model,Model, Immunologic,Immunologic Models,Immunological Model,Model, Immunological,Models, Immunologic
D018858 Germinal Center The activated center of a lymphoid follicle in secondary lymphoid tissue where B-LYMPHOCYTES are stimulated by antigens and helper T cells (T-LYMPHOCYTES, HELPER-INDUCER) are stimulated to generate memory cells. Center, Germinal,Centers, Germinal,Germinal Centers

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