Introduction to Nonsmooth Optimization by Adil Bagirov Napsu Karmitsa & Marko M. Mäkelä
Author:Adil Bagirov, Napsu Karmitsa & Marko M. Mäkelä
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham
The determination of the conformation of a molecule, especially in the protein folding framework, is one of the most important problems in computational chemistry and biology. This is because the conformation is strongly associated with the chemical and biological properties of the molecule. The determination of the molecular conformation can be tackled either by minimizing the potential energy function (if the conformation corresponds to the global minimizer of this function) or by solving a distance geometry problem where some or all distances between the pairs of atoms are known. Both of these methods end in some sort of global optimization problem. The distances required in the distance geometry problem may be obtained e.g. via nuclear magnetic resonance (NMR) spectroscopy.
The molecular distance geometry problem (MDGP) can be formulated as follows Find positions of atoms in such that
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