Abstract: Disclosed herein is a method comprising imaging a network section through which flow occurs; where the flow is selected from a group consisting of fluid, electrons, protons, neutrons and holes; partitioning the image into sub-regions based on metabolic need and function; where each region comprises one or more sources and one or more sinks; where the flow emanates from the source and exits into the sinks; performing a Delaunay triangulation tessellation on one or more sub-regions by connecting one or more sources and one or more sinks; where the Delaunay triangulations maximize the minimum angle of all the angles of the triangles in the triangulation; generating a Voronoi diagram from the Delaunay triangulation by subdividing the sub-regions into Voronoi cells, where each Voronoi cell contains exactly one sink or one source; and where the intersections of Voronoi cells are Voronoi cell vertices; locating a sink endpoint centroid; connecting a source to a nearest Voronoi cell vertex; connecting at least one si

Abstract: Disclosed herein is a method comprising a method comprising imaging a network section through which flow occurs; where the flow is selected from a group consisting of fluid, electrons, protons, neutrons and holes; partitioning the image into sub-regions based on metabolic need and function; where each region comprises one or more sources and one or more sinks; where the flow emanates from the source and exits into the sinks; generating a Voronoi diagram from the Delaunay triangulation by subdividing the sub-regions into Voronoi cells, where each Voronoi cell contains exactly one sink or one source; and where the intersections of Voronoi cells are Voronoi cell vertices; calculating a flow rate in each Voronoi cell; and according a color to Voronoi cells based on their flow rates; where Voronoi cells having similar rates are accorded similar colors.

Abstract: Disclosed herein is a method comprising imaging a network section through which flow occurs; where the flow is selected from a group consisting of fluid, electrons, protons, neutrons and holes; partitioning the image into sub-regions based on metabolic need and function; where each region comprises one or more sources and one or more sinks; where the flow emanates from the source and exits into the sinks; performing a Delaunay triangulation tessellation on one or more sub-regions by connecting one or more sources and one or more sinks; where the Delaunay triangulations maximize the minimum angle of all the angles of the triangles in the triangulation; generating a Voronoi diagram from the Delaunay triangulation by subdividing the sub-regions into Voronoi cells, where each Voronoi cell contains exactly one sink or one source; and where the intersections of Voronoi cells are Voronoi cell vertices; locating a sink endpoint centroid; connecting a source to a nearest Voronoi cell vertex; connecting at least one si