“…1B) generate a space-filling alternative (Egginton & Ross, 1989 thereby allowing the exploration of the local influences associated with microvascular remodelling, as well as any mismatch between angiogenesis and local O 2 demand (Degens et al, 1992(Degens et al, , 2002(Degens et al, , 2006(Degens et al, , 2008Egginton et al, 2001;Wüst et al, 2009a). This gives Voronoi polygons an advantage in assessing the efficacy of applications to pathological scenarios, such as ischaemia, where potential therapeutic interventions include strength training (Deveci & Egginton, 2002;Suzuki et al, 2000), endurance exercise (Ahmed et al, 1997;Scott et al, 2009), electrical stimulation (Ebina et al, 2002), and alterations in muscle temperature (Egginton et al, 2001;Egginton, 2002). In addition to their ability to reproduce robust versions of the aforementioned global measures, Voronoi polygons have the capacity to provide indices of capillary supply to individual fibres, with both direct contact and indirect influence, and to fibres of different metabolic activities.…”