Skip to main content
. 2009 Nov 26;5(11):e1000578. doi: 10.1371/journal.pcbi.1000578

Figure 1. Rebinding in kinetic proofreading models.

Figure 1

(A) Canonical kinetic proofreading postulates that the TCR proximal signaling events can be organized into successive steps that begin when pMHC binds TCR (Inline graphic). The TCR traverses through these steps (Inline graphic) at a rate (Inline graphic) while the pMHC is bound and a productive signal is transduced only once a critical step has been reached (Inline graphic). When unbound, the pMHC may diffuse away (Inline graphic) and subsequently bind another TCR (Inline graphic). (B) Signal persistence allows the TCR to maintain its signaling state when pMHC unbinds (Inline graphic). Three possibilities arise: (1) The pMHC may rebind the TCR which resumes proofreading (Inline graphic), (2) The TCR decays to the unmodified state (Inline graphic), (3) The pMHC may diffuse away (Inline graphic). All rates are first order in units of Inline graphic with the exception of Inline graphic which is a second order rate in units of Inline graphic. Main text results are focused on analyzing the generic models of panels (A) and (B) but our results are confirmed using a particular realization of TCR-proximal signals, shown in (C), which explicitly models the enzymatic activity of Lck in the sequential phosphorylation of a Inline graphic and the stabilization of a fully phosphorylated ITAM by Zap70. This model is adapted from Altan-Bonnet and Germain [40] and modified to include rebinding and signal persistence (bottom row). As in (A–B) when pMHC is unbound from TCR it may diffuse away (arrow not shown). In all three models the effective binding (coupling) rate (Inline graphic) is Inline graphic and the effective unbinding (uncoupling) rate (Inline graphic) is Inline graphic. All models are described in the Methods.