Molecular evolution of affinity and flexibility in the immune system

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.

[1]  Wilfred F van Gunsteren,et al.  Entropy calculation of HIV-1 Env gp120, its receptor CD4, and their complex: an analysis of configurational entropy changes upon complexation. , 2005, Biophysical journal.

[2]  M. Gilson,et al.  Ligand configurational entropy and protein binding , 2007, Proceedings of the National Academy of Sciences.

[3]  Dan S. Tawfik,et al.  Antibody Multispecificity Mediated by Conformational Diversity , 2003, Science.

[4]  S. Jusuf,et al.  Configurational entropy and cooperativity between ligand binding and dimerization in glycopeptide antibiotics. , 2003, Journal of the American Chemical Society.

[5]  Charles L Brooks,et al.  Protein and peptide folding explored with molecular simulations. , 2002, Accounts of chemical research.

[6]  J. Herron,et al.  Molecular dynamics of the anti-fluorescein 4-4-20 antigen-binding fragment. 2. Time-resolved fluorescence spectroscopy. , 1995, Biochemistry.

[7]  Min Zhou,et al.  Understanding noncovalent interactions: ligand binding energy and catalytic efficiency from ligand-induced reductions in motion within receptors and enzymes. , 2004, Angewandte Chemie.

[8]  W. Jiskoot,et al.  Role of electrostatic interactions in the binding of fluorescein by anti-fluorescein antibody 4-4-20. , 1993, Biochemistry.

[9]  E. Kabat,et al.  Sequences of proteins of immunological interest , 1991 .

[10]  D. Kranz,et al.  Thermodynamic properties of ligand binding by monoclonal anti-fluorescyl antibodies. , 1986, Biochemistry.

[11]  Charles L. Brooks,et al.  New analytic approximation to the standard molecular volume definition and its application to generalized Born calculations , 2003, J. Comput. Chem..

[12]  Themis Lazaridis,et al.  Binding Affinity and Specificity from Computational Studies , 2002 .

[13]  S. Smith‐Gill,et al.  X-ray snapshots of the maturation of an antibody response to a protein antigen , 2003, Nature Structural Biology.

[14]  J. Herron,et al.  Molecular dynamics of the anti-fluorescein 4-4-20 antigen-binding fragment. 1. Computer simulations. , 1995, Biochemistry.

[15]  Richard H. Henchman,et al.  Revisiting free energy calculations: a theoretical connection to MM/PBSA and direct calculation of the association free energy. , 2004, Biophysical journal.

[16]  Wilfred F van Gunsteren,et al.  Free energies of ligand binding for structurally diverse compounds. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[17]  I. Roterman,et al.  The Indirect Generation of Long‐distance Structural Changes in Antibodies upon their Binding to Antigen , 2006, Chemical biology & drug design.

[18]  H. Mo,et al.  Changes in structure and dynamics of the Fv fragment of a catalytic antibody upon binding of inhibitor , 2003, Protein science : a publication of the Protein Society.

[19]  H. Kaback,et al.  Energetics of Ligand-induced Conformational Flexibility in the Lactose Permease of Escherichia coli* , 2006, Journal of Biological Chemistry.

[20]  M. Thorpe,et al.  Rigidity theory and applications , 2002 .

[21]  B. Roux,et al.  Calculation of absolute protein-ligand binding free energy from computer simulations. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[22]  Kim K. Baldridge,et al.  Flexibility and molecular recognition in the immune system , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[23]  M. Gilson,et al.  Free energy, entropy, and induced fit in host-guest recognition: calculations with the second-generation mining minima algorithm. , 2004, Journal of the American Chemical Society.

[24]  Ioan Andricioaei,et al.  On the calculation of entropy from covariance matrices of the atomic fluctuations , 2001 .

[25]  Dusanka Janezic,et al.  Harmonic analysis of large systems. I. Methodology , 1995, J. Comput. Chem..

[26]  G. Montich,et al.  Protein stability induced by ligand binding correlates with changes in protein flexibility , 2003, Protein science : a publication of the Protein Society.

[27]  M. Karplus,et al.  Method for estimating the configurational entropy of macromolecules , 1981 .

[28]  Edward W. Voss,et al.  Fluorescein hapten : an immunological probe , 1984 .

[29]  M. Karplus,et al.  Proteins: A Theoretical Perspective of Dynamics, Structure, and Thermodynamics , 1988 .

[30]  M. Karplus,et al.  Multiple conformational states of proteins: a molecular dynamics analysis of myoglobin. , 1987, Science.

[31]  Charles L. Brooks,et al.  Performance comparison of generalized born and Poisson methods in the calculation of electrostatic solvation energies for protein structures , 2004, J. Comput. Chem..

[32]  P. Wolynes,et al.  The energy landscapes and motions of proteins. , 1991, Science.

[33]  R. Jimenez,et al.  Protein dynamics and the immunological evolution of molecular recognition. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[34]  K. D. Hardman,et al.  1.85 A structure of anti-fluorescein 4-4-20 Fab. , 1995, Protein engineering.

[35]  Allen H. Terry,et al.  High resolution structures of the 4-4-20 Fab-fluorescein complex in two solvent systems: effects of solvent on structure and antigen-binding affinity. , 1994, Biophysical journal.

[36]  M. Gilson,et al.  Calculation of cyclodextrin binding affinities: energy, entropy, and implications for drug design. , 2004, Biophysical journal.

[37]  Jens Carlsson,et al.  Absolute and relative entropies from computer simulation with applications to ligand binding. , 2005, The journal of physical chemistry. B.

[38]  Ian F. Thorpe,et al.  Antibody evolution constrains conformational heterogeneity by tailoring protein dynamics , 2006, Proceedings of the National Academy of Sciences.

[39]  Dan S. Tawfik,et al.  Structure and kinetics of a transient antibody binding intermediate reveal a kinetic discrimination mechanism in antigen recognition. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[40]  Ian F. Thorpe,et al.  Conformational substates modulate hydride transfer in dihydrofolate reductase. , 2005, Journal of the American Chemical Society.

[41]  J. Saven,et al.  Modulating the DNA affinity of Elk-1 with computationally selected mutations. , 2005, Journal of molecular biology.

[42]  Michael K Gilson,et al.  Evaluating the Accuracy of the Quasiharmonic Approximation. , 2005, Journal of chemical theory and computation.

[43]  J. Onuchic,et al.  Protein folding funnels: the nature of the transition state ensemble. , 1996, Folding & design.

[44]  Jin Wang Diffusion and single molecule dynamics on biomolecular interface binding energy landscape , 2006 .

[45]  C. Brooks,et al.  Novel generalized Born methods , 2002 .