RT Journal Article
SR Electronic
T1 Curvature Analysis of Estrogen Receptor Positive Breast Cancer Under PI3K Inhibition
JF bioRxiv
FD Cold Spring Harbor Laboratory
SP 049437
DO 10.1101/049437
A1 Romeil Sandhu
A1 Eneda Toska
A1 Maurizio Scaltriti
A1 José Baselga
A1 Joseph Deasy
A1 Jung Hun Oh
A1 Sarah Tannenbaum
A1 Allen Tannenbaum
YR 2016
UL http://biorxiv.org/content/early/2016/04/20/049437.abstract
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.