The immune system responds to the introduction of foreign antigens by rapidly evolving antibodies with increasing affinity for the antigen (i.e., maturation). To investigate the factors that control this process at the molecular level, we have assessed the changes in flexibility that accompany ligand binding at four stages of maturation in the 4-4-20 antibody. Our studies, based on molecular dynamics, indicate that increased affinity for the target ligand is associated with a decreased entropic cost to binding. The entropy of binding is unfavorable, opposing favorable enthalpic contributions that arise during complex formation. Computed binding free energies for the various antibody-ligand complexes qualitatively reproduce the trends observed in the experimentally derived values, although the absolute magnitude of free-energy differences is overestimated. Our results support the existence of a correlation between high-affinity interactions and decreased protein flexibility in this series of antibody molecules. This observation is likely to be a general feature of molecular association processes and key to the molecular evolution of antibody responses. molecular recognition ͉ antibody ͉ ligand association ͉ binding ͉ entropy M olecular recognition plays a central role in many biological processes, including the regulation of development, cell signaling, and neutralization of foreign molecules by the immune system. Consequently, there is significant interest in elucidating the mechanisms involved in recognition processes from both experimental (1, 2) and theoretical (3, 4) perspectives; this subject is discussed in a number of reviews (5-7). Secreted antibodies (Abs) play a central role in the immune response and bind to their target antigens with both high affinity and specificity. These molecules serve as excellent models with which to examine the mechanisms of molecular recognition. The Ab 4-4-20 is particularly useful in this regard, as it binds to the chromophore fluorescein (FLU) with high affinity (8). Interaction of 4-4-20 with FLU has greatly facilitated structural, kinetic and, thermodynamic characterization of this Ab (9-12). Romesberg and colleagues (13-15) have characterized evolution of the immunological response for the well studied 4-4-20. They have deduced a sequence of mutations that engender increased affinity for the target ligand during the maturation process; evidence has been presented that the flexibility of the binding pocket decreases in concert with gains in affinity.As maturation proceeds, affinity for FLU increases going from the germ line (GL) Ab through two intermediates (IMs) (IM1 and IM2, respectively) until finally the highest affinity mature (AM) 4-4-20 Ab is attained. As determined by surface plasmon resonance, the dissociation constant of AM for FLU is 220 nM (14). IM2 has a dissociation constant of 400 nM and differs from AM in that residue 46 in the light chain is leucine (L L 46) rather than the valine (V L 46) present in the crystal structure. V L 46 does not interact with ...