Two contrasting theories have emerged that attempt to describe T-cell ligand potency, one based on the t 1/2 of the interaction and the other based on the equilibrium affinity (K D ). Here, we have identified and studied an extensive set of T-cell receptor (TCR)-peptide-MHC (pMHC) interactions for CD4 + cells that have differential K D s and kinetics of binding. Our data indicate that ligands with a short t 1/2 can be highly stimulatory if they have fast onrates. Simple models suggest these fast kinetic ligands are stimulatory because the pMHCs bind and rebind the same TCR several times. Rebinding occurs when the TCR-pMHC on-rate outcompetes TCR-pMHC diffusion within the cell membrane, creating an aggregate t 1/2 (t a ) that can be significantly longer than a single TCRpMHC encounter. Accounting for t a , ligand potency is K D -based when ligands have fast on-rates (k on ) and t 1/2 -dependent when they have slow k on . Thus, TCR-pMHC k on allow high-affinity short t 1/2 ligands to follow a kinetic proofreading model.T cell receptors (TCRs) expressed on T cells bind host MHC proteins presenting both self-and foreign pathogen-derived peptides (pMHCs). Depending on the signal emanating from these interactions, diverse biological outcomes ensue. In the thymus, these TCR-pMHC-mediated signals shape the specificity of the mature T-cell repertoire and prevent overtly self-reactive T cells from escaping (1). In the periphery, naive T cells require continual TCR engagement with self-pMHC complexes to receive a homeostatic survival signal, whereas engagements with foreign peptides induce rapid T-cell division and the acquisition of effector functions (2). How T cells interpret the interaction between their TCR and pMHC ligands leading to these different biological outcomes is greatly debated.Two competing models of T-cell activation have been proposed, with ligand potency being a function of TCR-pMHC equilibrium affinity (K D ) (3-7) or t 1/2 (8-11). Evidence supporting K D -based receptor occupancy models of TCR signaling comes from sets of ligands that show a correlation between the K D and ligand potency (3, 5) and from the fact that ligands induce qualitatively distinct biological outcomes depending on their concentration (12).In sharp contrast to receptor occupancy models, t 1/2 -based kinetic proofreading models hypothesize that the TCR must be engaged long enough to complete a series of signaling events, including coreceptor recruitment and TCR phosphorylation (13). Increases in the t 1/2 of the TCR-pMHC engagement raise the probability that any single TCR-pMHC engagement will surpass the threshold amount of time required to initiate T-cell activation (14). Recently, this threshold amount of time has been predicted to be at least 2 s (9, 15). Whether there is, in addition, an optimal t 1/2 that balances these kinetic proofreading requirements and the serial triggering of TCRs has been debated (16,17).Further evidence supporting t 1/2 -based kinetic proofreading models arises from the discovery of antagonist pMHC l...