Abstract
Analytic and numerical methods now allow optimization of the electrostatic contribution to the free energy of association of two molecules in solution. Using a continuum electrostatic approximation based on the linearized Poisson-Boltzmann equation, the electrostatic free energy of rigid bimolecular association becomes a quadratic function of the reactant-charge distributions. By optimizing the charge distribution of one reactant, we find that the electrostatic free energy can be minimized, and made favorable in many cases. Furthermore, a rigorous method for visualizing the extent of electrostatic complementarity between two molecules has been developed. In this paper we review the framework and progress of charge optimization and discuss some of the implications emerging to date.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Z. S. Hendsch and B. Tidor. Do salt bridges stabilize proteins? A continuum electrostatic analysis. Protein Sci., 3:211–226, 1994.
C. Tanford, P. K. De, and V. G. Taggart. The role of the α-helix in the structure of proteins. Optical rotatory dispersion of β-lactoglobulin. J. Am. Chem. Soc., 82:6028–6034, 1960.
C. H. Paul. Building models of globular protein molecules from their amino acid sequences. I. Theory. J. Mol. Biol., 155:53–62, 1982.
C. V. Sindelar, Z. S. Hendsch, and B. Tidor. Effects of salt bridges on protein structure and design. Protein Sci., 102:4404–4410, 1998.
B. Honig, K. Sharp, and A.-S. Yang. Macroscopic models of aqueous solutions: Biological and chemical applications. J. Phys. Chem., 97:1101–1109, 1993.
B. Honig and A. Nicholls. Classical electrostatics in biology and chemistry. Science (Washington, D.C.), 268:1144–1149, 1995.
Kim Sharp, J. Jean-Charles, and B. Honig. J. Phys. Chem., 96:3822–3828, 1992.
Jian Shen and Florante A. Quiocho. Calculation of binding energy differences for receptor-ligand systems using the poisson-boltzmann method. J. Comput. Chem., 16:445–448, 1995.
J. Shen and J. Wendoloski. Electrostatic binding energy calculation using the finite difference solution to the linearized Poisson-Boltzmann equation: Assessment of its accuracy. J. Comput. Chem., 17:350–357, 1996.
M. K. Gilson, K. A. Sharp, and B. H. Honig. Calculating the electrostatic potential of molecules in solution: Method and error assessment. J. Comput. Chem., 9:327–335, 1988.
O’M. Bockris and A. K. N. Reddy. Modern Electrochemistry. Plenum, New York, 1973.
F. M. Richards. Areas, volumes, packing, and protein structure. Annu. Rev. Biophys. Bioeng., 6:151–176, 1977.
M. L. Connolly. Analytical molecular surface calculation. J. Appl. Cryst., 16:548–558, 1983.
M. K. Gilson and B. H. Honig. Nature (London), 330:84, 1987.
Erik Kangas and Bruce Tidor. Optimizing electrostatic affinity in ligand-receptor binding: Theory, computation and ligand properties. J. Chem. Phys., 109:7522–7545, 1998.
K. A. Sharp and B. Honig. Calculating total electrostatic energies with the nonlinear Poisson-Boltzmann equation. J. Phys. Chem., 94:7684–7692, 1990.
J. Theodoor G. Overbeek. The role of energy and entropy in the electrical double layer. Colloids and Surfaces, 51:61–75, 1990.
M. K. Gilson and B. Honig. Calculation of the total electrostatic energy of a macro-molecular system: Solvation energies, binding energies, and conformational analysis. Proteins: Struct., Funct., Genet., 4:7–18, 1988.
Wolfgang K. H. Panofsky and Melba Phillips. Classical Electricity and Magnetism. Addison-Wesley, Reading, Massachusetts, second edition, 1962.
L.-P. Lee and B. Tidor. Optimization of electrostatic binding free energy. J. Chem. Phys., 106:8681–8690, 1997.
G. Strang. Introduction to Linear Algebra. Wellesley-Cambridge Press, Wellesley, Massachusetts, 1993.
L. T. Chong, S. E. Dempster, Z. S. Hendsch, L.-P. Lee, and B. Tidor. Computation of electrostatic complements to proteins: A case of charge stabilized binding. Protein Sci., 7:206–210, 1998.
J. Novotny and K. Sharp. Electrostatic fields in antibodies and antibody/antigen complexes. Prog. Biophys. Molec. Biol., 58:203–224, 1992.
V. K. Misra, K. A. Sharp, R. A. Friedman, and B. Honig. Salt effects on ligand-DNA binding: Minor groove binding antibiotics. J. Mol. Biol., 238:245–263, 1994.
V. K. Misra, J. L. Hecht, K. A. Sharp, R. A. Friedman, and B. Honig. Salt effects on protein-DNA interactions: The λcI repressor and EcoRI endonuclease. J. Mol. Biol., 238:264–280, 1994.
K. A. Sharp. Electrostatic interactions in hirudin-thrombin binding. Biophys. Chem., 61:37–49, 1996.
J. Novotny, R. E. Bruccoleri, M. Davis, and K. A. Sharp. Empirical free energy calculations: A blind test and further improvements to the method. J. Mol. Biol., 268:401–411, 1997.
Results from our research group.
Erik Kangas and Bruce Tidor. Charge optimization leads to favorable electrostatic binding free energy. Phys. Rev. E, 59:5958–5961, 1999.
Erik Kangas and Bruce Tidor.
J. G. Kirkwood. Theory of solutions of molecules containing widely separated charges with special application to zwitterions. J. Chem. Phys., 2:351–361, 1934.
Charles Tanford and John G. Kirkwood. Theory of protein titration curves. i. general equations for impenetrable spheres. J. Am. Chem. Soc., 79:5333–5339, 1957.
V. A. Parsegian. Ion—membrane interactions as structural forces. Ann. N. Y. Acad. Sci., 264:161–174, 1975.
E. von Kitzing and D. M. Soumpasis. Electrostatics of a simple membrane model using Green’s functions formalism. Biophysical J., 71:795–810, 1996.
K. A. Sharp and B. Honig. Electrostatic interactions in macromolecules: Theory and applications. Annu. Rev. Biophys. Biophys. Chem., 19:301–332, 1990.
A. Nicholls, K. A. Sharp, and B. Honig. Protein folding and association: Insights from the interfacial and thermodynamic properties of hydrocarbons. Proteins: Struct., Funct., Genet., 11:281–296, 1991.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Kangas, E., Tidor, B. (2000). Electrostatic Optimization in Ligand Complementarity and Design. In: Floudas, C.A., Pardalos, P.M. (eds) Optimization in Computational Chemistry and Molecular Biology. Nonconvex Optimization and Its Applications, vol 40. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3218-4_13
Download citation
DOI: https://doi.org/10.1007/978-1-4757-3218-4_13
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4826-7
Online ISBN: 978-1-4757-3218-4
eBook Packages: Springer Book Archive