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. Author manuscript; available in PMC: 2021 Apr 27.
Published in final edited form as: Integr Biol (Camb). 2013 Dec;5(12):1426–1438. doi: 10.1039/c3ib40085a

Table 2.

Morphological interpretation of the slopes in the Minkowsky functionals with respect to vascular networks

Metric Slope Sign Morphologic interpretation
Area Flat + Many branches, small intervascular spaces, tortuous vessels
Steep Few branches, large intervascular spaces, straight vessels
Boundary Flat Simple structure, few branches
Steep Complex structure, many branches
Spaces Flat + Round lacunas, large variation in lacuna size
Steep Elongated lacunas, lacunas of similar size
Flat Sparse tree, few blind ends located far away from other vessels
Steep Dense tree, many blind ends close to other vessels