SYSTEMS AND METHODS FOR MAKING TWO DIMENSIONAL GRAPHS OF COMPLEX MOLECULES
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United States of America Patent
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Feb 19, 2015
app pub date -
Mar 12, 2013
filing date -
Mar 21, 2012
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Abstract
Systems and methods for two-dimensional visualization of a molecule, comprising the set of particles {p1, . . . , pN}, are provided. A set of N three-dimensional coordinates {x1, . . . , xN} is obtained, each xi in {x1, . . . , xN} describing a three-dimensional position for a corresponding particle pi in {p1, . . . , pN}. A cost function containing the error in a set of two-dimensional coordinates (c1, . . . , cN), where each Ci in (c1, . . . , cN) corresponds to a three-dimensional coordinate xi in {x1, . . . , xN}, is minimized until an exit condition is achieved. The minimization alters the values of (c1, . . . , cN). A set of physical properties SM is obtained, each Si,j in SM representing a physical property shared by a pair of particles (pi, pj) in {p1, . . . , pN}. Coordinates (c1, . . . , cN) are plotted as nodes of a two-dimensional graph after minimization. A plurality of edges for the graph is plotted. An edge in the plurality of edges connects a coordinate pair (ci, cj) in the graph that corresponds to a pair of particles (pi, pj) in {p1, . . . , pN}. A characteristic of the edge is determined by a physical property si,j in SM for the pair of particles (pi, pj).
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