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Published online on March 1, 2007, 10.1073/pnas.0610533104
PNAS | March 13, 2007 | vol. 104 | no. 11 | 4261-4266


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BIOLOGICAL SCIENCES / BIOCHEMISTRY
Drug target interaction energies by the kernel energy method in aminoglycoside drugs and ribosomal A site RNA targets

Lulu Huang*, Lou Massa{dagger}, and Jerome Karle*,{ddagger}

*Laboratory for the Structure of Matter, Naval Research Laboratory, Washington, DC 20375-5341; and {dagger}Hunter College, Graduate School, City University of New York, New York, NY 10021

Contributed by Jerome Karle, December 5, 2006 (received for review October 1, 2006)

It is possible to use the full power of ab initio quantum mechanics in application to the interaction of drugs and their molecular targets. This idea had barely been realized until recently, because of the well known growth in computational difficulty of the use of quantum mechanics, with the number of atoms in the molecule to be studied. Because the biochemical molecules of medicinal chemistry are so often large, containing thousands or even tens of thousands of atoms, the computational difficulty of the full quantum problem had been prohibitive. Two things have happened, however, that change this perspective: (i) the advances of parallel supercomputers, and (ii) the discovery of a quantum formalism called quantum crystallography and the use of quantum kernels, a method that is well suited for parallel computation. Such advances would allow the quantum mechanical ab initio calculation of the molecular energy of peptides, proteins, DNA, and RNA, obtaining results of high accuracy. In this approach the computational difficulty of representing a molecule increases only modestly with the number of atoms. The calculations are simplified by adopting an acceptable approximation that allows a full biological molecule to be represented by smaller "kernels" of atoms. These results suggest that problems of medicinal chemistry, such as the rational design of drugs, may be illuminated by quantum mechanical analysis. The general case is illustrated by specific examples, namely, the HF/STO-3G calculations of three aminoglycoside drugs that attach to ribosomal A-site RNA nucleotide targets.

biological molecules | Hartree-Fock | quantum mechanics


Author contributions: L.H., L.M., and J.K. designed research, performed research, and wrote the paper.

The authors declare no conflict of interest.

This article contains supporting information online at www.pnas.org/cgi/content/full/0610533104/DC1.

{ddagger}To whom correspondence should be addressed. E-mail: jerome.karle{at}nrl.navy.mil

© 2007 by The National Academy of Sciences of the USA


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Proc. Natl. Acad. Sci. USAHome page
L. Huang, L. Massa, and J. Karle
The kernel energy method of quantum mechanical approximation carried to fourth-order terms
PNAS, February 12, 2008; 105(6): 1849 - 1854.
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