(A) Schematic representation of the exclusive and independent models of BCR phosphorylation and internalization. The independent model includes all the reactions in the exclusive model plus the additional ones indicated. Eliminating the sequestration reaction corresponds to clathrin deletion while eliminating the removal reaction corresponds to dn-dynamin (see discussion). (B) Extent of phosphorylation for wild-type (red), dn-dynamin (green), and clathrin mutant scenarios (blue). (C) Maximal signaling through the BCR, as assayed by Igα phosphorylation, as a function of ligand avidity. A comparison of exclusive (red) and independent (green) signaling and internalization models is provided (inset).
Time to maximum BCR signal intensity as a function of ligand avidity as predicted for the exclusive (red) and independent (green) models. The parameters used to generate the figure are k off = 2.0 min −1, k +a = k –a = 4.0 min −1, k +s = 8.0 min −1, k –s = 4.0 min −1, k p = 10.0 min −1, k r = 5.0 min −1, k c = 4.0 min −1, k d = 2.0 min −1, and k g = 2.0 min −1; K i = K M = 0.1 in units such that the initial BCR concentration is unity. The rate parameters were selected to give for the wild-type a maximum phosphorylation of about 10% at 2–3 min and decay on the order of 10 min. In the case of the non-exclusive model, we substitute either k p = 12.0 min −1 (faster phosphorylation), k c = 2.0 min −1 (slower sequester) or k d = 8.0 min −1 with k g = 4.0 min −1 (faster removal) to maintain the same maximum integrated phosphorylation to facilitate comparison. Data for scaled k d and k g are shown; scaled k p and k c give qualitatively similar behavior.