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In this work we aim to understand how cellular aggregation and angiogenic pattern formation develop in bone marrow endothelial networks by integrating spatial-temporal mathematical models with theory regarding how cellular metabolism scales with cell number. Presently, efforts to model angiogenic pattern formation fail to accurately predict spatial characteristics often observed.

Biological allometries, such as the scaling of metabolism to mass or cell number, have been hypothesized to result from natural selection to maximize how vascular networks fill space yet minimize internal transport distances and resistance to motion. Metabolic scaling theory argues that two guiding principles—optimization of motion and space-filling fractal distributions—describe a diversity of biological networks and predict how the geometry of these networks influences organismal metabolism. Recently, metabolic scaling theory has …