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Dynamics of one-pass germinal center models: implications for affinity maturation
M Oprea1, E van Nimwegen, A S Perelson
1Department of Computer Science, University of New Mexico, Albuquerque 87131, USA. mihaela@santafe.edu
Bulletin of Mathematical Biology
|May 29, 2000
Summary
Affinity maturation, crucial for immune response, involves antibody gene mutation and selection. This study models a single-pass mutation-selection process, finding it inefficient for generating high-affinity antibodies with decaying antigen levels.
Area of Science:
- Immunology
- Computational Biology
- Molecular Biology
Background:
- Antibody affinity maturation increases antibody effectiveness over time during immune responses.
- This process involves somatic hypermutation of immunoglobulin genes and selection of high-affinity B cell variants within germinal centers.
- Existing models often assume a multi-step mutation and selection process within germinal centers.
Purpose of the Study:
- To investigate whether a single-pass mechanism of mutation and selection can explain the observed efficiency of affinity maturation.
- To analyze one-pass models of the germinal center reaction with decaying antigen and mutation at transcription or replication.
Main Methods:
- Analysis of one-pass mathematical models of the germinal center reaction.
- Modeling antigen decay and mutation occurrence during B cell gene transcription or replication.
- Evaluating model output against experimental data on affinity maturation efficiency.
Main Results:
- The proportion of high-affinity cells in the output of a germinal center varies logarithmically with selection probability in one-pass models.
- For biologically realistic parameters, the efficiency of single-pass mutation-selection models is insufficient to explain experimental data.
- The study highlights potential limitations of models assuming no post-selection amplification.
Conclusions:
- A single-pass mutation and selection mechanism is unlikely to account for the high efficiency of antibody affinity maturation.
- The findings suggest that multi-step processes or alternative mechanisms may be necessary to explain experimental observations.
- The analysis provides insights into selection dynamics in populations subjected to decaying selective forces.