Integration of graph theory and quantum chemistry for structure-activity relationships. 1994

K Balasubramanian
Department of Chemistry, Arizona State University, Tempe 85287-1604, USA.

The objective of this article is to outline both graph-theoretically based and quantum chemically based structural indices of potential use in quantitative structure activity correlations. We consider graph-theoretical indices such as the connectivity index, topological index, Wiener index and molecular ID indices. Several structural and geometry-dependent indices can be derived from semiempirical and ab initio quantum calculations based on the charge densities, overlap matrices, frontier orbitals, molecular hardness, free valence, density matrices, quantum spectral difference indices, quantum spectral indices and bond matrices. Finally, the use of electrostatic potentials and charge densities for the prediction of reactive sites will be discussed.

UI MeSH Term Description Entries
D008956 Models, Chemical Theoretical representations that simulate the behavior or activity of chemical processes or phenomena; includes the use of mathematical equations, computers, and other electronic equipment. Chemical Models,Chemical Model,Model, Chemical
D009281 Naphthalenes Two-ring crystalline hydrocarbons isolated from coal tar. They are used as intermediates in chemical synthesis, as insect repellents, fungicides, lubricants, preservatives, and, formerly, as topical antiseptics.
D011789 Quantum Theory The theory that the radiation and absorption of energy take place in definite quantities called quanta (E) which vary in size and are defined by the equation E Quantum Theories,Theories, Quantum,Theory, Quantum
D002070 Butadienes Four carbon unsaturated hydrocarbons containing two double bonds. Butadiene Derivative,Butadiene Derivatives,Derivative, Butadiene,Derivatives, Butadiene
D003196 Computer Graphics The process of pictorial communication, between human and computers, in which the computer input and output have the form of charts, drawings, or other appropriate pictorial representation. Computer Graphic,Graphic, Computer,Graphics, Computer
D003198 Computer Simulation Computer-based representation of physical systems and phenomena such as chemical processes. Computational Modeling,Computational Modelling,Computer Models,In silico Modeling,In silico Models,In silico Simulation,Models, Computer,Computerized Models,Computer Model,Computer Simulations,Computerized Model,In silico Model,Model, Computer,Model, Computerized,Model, In silico,Modeling, Computational,Modeling, In silico,Modelling, Computational,Simulation, Computer,Simulation, In silico,Simulations, Computer
D004563 Electrochemistry The study of chemical changes resulting from electrical action and electrical activity resulting from chemical changes. Electrochemistries
D004980 Ethane A two carbon alkane with the formula H3C-CH3.
D006838 Hydrocarbons Organic compounds that primarily contain carbon and hydrogen atoms with the carbon atoms forming a linear or circular structure. Hydrocarbon,Saturated Hydrocarbons,Unsaturated Hydrocarbons,Hydrocarbons, Saturated,Hydrocarbons, Unsaturated
D013329 Structure-Activity Relationship The relationship between the chemical structure of a compound and its biological or pharmacological activity. Compounds are often classed together because they have structural characteristics in common including shape, size, stereochemical arrangement, and distribution of functional groups. Relationship, Structure-Activity,Relationships, Structure-Activity,Structure Activity Relationship,Structure-Activity Relationships

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