Abstract
Analysis of the tertiary structural alterations in hemoglobin induced by ligand binding demonstrates that an allosteric core composed of the heme, histidine F8, the FG corner and part of the F-helix plays an essential role in co-operativity. This conclusion is based on structural and spectroscopic data and theoretical studies of hemoglobin chains. The methodology employed in the calculations is presented with details of the empirical energy function. Energy minimized structures of the unliganded hemoglobin chains, which serve as reference systems for the analysis, are described. To determine the structural changes induced by ligand binding, the effects of FeN bond shortening and of heme translation and tilting perturbations are examined. Energy minimization in the presence of the perturbations serves to provide information concerning the globin structural modifications produced by them. The validity of the results is supported by comparisons with the X-ray data of Anderson, Pulsinelli, Baldwin and Chothia on tertiary changes in the hemoglobin subunits. Internal to the allosteric core, there appear to be two stable positions for its elements: one of these corresponds to the liganded and the other to the unliganded species. The unliganded geometry fits without strain into the deoxy tetramer, while the liganded one fits without strain into the oxy tetramer. On ligation of a subunit in the deoxy tetramer, the structural changes within the allosteric core are in the direction of those found in going from the unliganded deoxy to the liganded oxy system, although they are reduced by the presence of constraints due to the other subunits in the deoxy tetramer. In addition, the quaternary constraints in the deoxy tetramer prevent the large overall displacement of the allosteric core that occurs in the transition to the liganded oxy tetramer. The coupling between the changes internal to the allosteric core, produced on ligation and the overall displacement of the core that accompanies the quaternary transition, is an essential element of the co-operative mechanism. As shown in previous work (Gelin & Karplus, 1977), the proximal histidine serves as the link between the position of the heme and the F-helix; the asymmetric orientation of the histidine in the deoxy structure, coupled with contributions from other heme-protein interactions, appears to initiate the tertiary structural changes induced by ligand binding. The reduced oxygen affinity of hemoglobin results not from tension on the heme in the unliganded structure (there is none) but instead from strain in the liganded subunit of the tetramer within the deoxy quaternary structure. Further, the changes in the allosteric core provide a relatively localized reaction path for transmitting information concerning ligand binding from the heme group to the surface of the subunit; particularly in the α-chain, the residue Val FG5 appears to play an important role in the reaction path. The present analysis has important implications for realistic statistical thermodynamic models of hemoglobin co-operativity. It suggests that the previously formulated model (Szabo & Karplus, 1972) should be generalized by the introduction of two different subunit tertiary structures in the deoxy and in the oxy tetramer; they would be associated with the unliganded and the liganded allosteric core, respectively, and would take account of steric constraints that reduce the ligand affinity of the deoxy tetramer.
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