Adaptive Immunity & Clonal Selection

B-cell evolution in shape space — affinity maturation via somatic hypermutation

Parameters

Clonal Selection Theory

Shape space (Perelson & Oster 1979): antibodies and antigens live in an abstract N-dimensional space. Binding affinity = Gaussian function of distance.

Germinal center reaction: B-cells with high affinity are selected to proliferate and undergo somatic hypermutation — random walks in shape space guided by selection.

Memory: Long-lived memory B-cells (gold dots) persist after clearance. Second exposure triggers rapid recall response.

Colors: Pink=naive, Red=activated, Gold=memory, White=antigen