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In a previous work arXiv:physics/0611108v2, it was shown that the volume spanned by a molecular system in its conformational space can be effectively bounded by a polyhedral cone, this cone is described by means of a simple combinatorial formula. On the other hand it was constructed a transversal graph structure encoding the region of conformational space accessible to the system. From the information in this graph, it is possible to decompose the main cone into a hierarchy of smaller ones that are more manageable, and are progressively more tightly bound to the region in which the system evolves.
On the basis of empirical evidence from molecular dynamics simulations, molecular conformational space can be described by means of a partition of central conical regions characterized by the dominance relations between cartesian coordinates. This wo
In previous works it was shown that protein 3D-conformations could be encoded into discrete sequences called dominance partition sequences (DPS), that generated a linear partition of molecular conformational space into regions of molecular conformati
In a previous work a procedure was decribed for dividing the $3 times N$-dimensional conformational space of a molecular system into a number of discrete cells, this partition allowed the building of a combinatorial structure from data sampled in mol
In previous works [physics/0204035, physics/0404052, physics/0509126] a procedure was described for dividing the $3 times N$-dimensional conformational space of a molecular system into a number of discrete cells, this partition allowed the building o
In the first work of this series [physics/0204035] it was shown that the conformational space of a molecule could be described to a fair degree of accuracy by means of a central hyperplane arrangement. The hyperplanes divide the espace into a hierarc