Abstract

Intravital imaging of antibody optimization in germinal center (GC) reactions has set a new dimension in the understanding of the humoral immune response during the last decade. The inclusion of spatio-temporal cellular dynamics in the research on GCs required analysis using the agent-based mathematical models. In this study, we integrate the available intravital imaging data from various research groups and incorporate these into a quantitative mathematical model of GC reactions and antibody affinity maturation. Interestingly, the integration of data concerning the spatial organization of GCs and B cell motility allows to draw conclusions on the strength of the selection pressure and the control of B cell division by T follicular helper cells.

Highlights

  • Germinal centers (GCs) are specialized environments normally located in lymphoid tissues giving rise to high-affinity antibodies [1, 2]

  • GCs exhibit a specific spatial organization in dark zone (DZ) and light zone (LZ) [11], which is due to highly motile B and T cells, respectively

  • While T cells are mostly found in the LZ [12], B cells are sorted according to the differentiation state: dividing and mutating B cells are concentrated in the DZ while B cells in the state of competitive selection are in the LZ

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Summary

INTRODUCTION

Germinal centers (GCs) are specialized environments normally located in lymphoid tissues giving rise to high-affinity antibodies [1, 2]. Soluble high-affinity antibodies that are derived from the GC product, namely the plasma cells, feed back onto the GC reaction itself by covering the antigen presented on the FDC network [26] These recent developments led to an extension of the mathematical models to include antibody feedback, DND [27], and continuous influx of founder clones into GCs [25]. In view of the tight connection between the spatial dynamics of GC B cells and B cell selection, we asked whether it would be possible to derive the strength of competition and the number of induced B cell divisions after recycling from the integrated two-photon data on B cell motility in GCs. The significant changes in the model represent the inclusion of a large body of new research. We show that DND is required to reproduce experimental results and specify the related model parameters for the first time

MATERIALS AND METHODS
Space Discretization
Overview on GC Dynamics In Silico
Antibody Feedback
Continuous Influx of B Cell Founder Cells
Dynamic Number of Divisions
Reached Distance
Speed Distribution
Turning Angle Distribution
Transzone Migration
DZ to LZ Ratio
DISCUSSION
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