PT - JOURNAL ARTICLE AU - Romeil Sandhu AU - Eneda Toska AU - Maurizio Scaltriti AU - José Baselga AU - Joseph Deasy AU - Jung Hun Oh AU - Sarah Tannenbaum AU - Allen Tannenbaum TI - Curvature Analysis of Estrogen Receptor Positive Breast Cancer Under PI3K Inhibition AID - 10.1101/049437 DP - 2016 Jan 01 TA - bioRxiv PG - 049437 4099 - http://biorxiv.org/content/early/2016/04/20/049437.short 4100 - http://biorxiv.org/content/early/2016/04/20/049437.full AB - In this note, we re-examine the work of Bosch et al. from a network point of view. In particular, we employ an extended defintion of Ollivier-Ricci curvature that allows us to study graphs with both positive and negative weights. This is done by utilizing a dual formulation of the Wasserstein 1-metric, allowing us to extend the Earth Mover’s Distance to signed measures. The resulting curvature may be applied study the robustness properties of general networks modelled as weighted graphs. In this note, we apply the theory to elucidate the robustness and therefore possible mechanisms of resistance of estrogen receptor positive breast cancer under PI3K inhibition.