arXiv subjects
Publications and source records attributed to Elinor Velasquez.
A differential-difference operator is used to model the heat equation on a finite graph analogue of Poincaré's upper half-plane. Finite analogues of the classical theta functions are shown to be solutions to the heat equation in this setting.
A prototype for a web application was designed and implemented as a guide to be used by clinicians when designing the best drug therapy for a specific cancer patient, given biological data derived from the patients tumor tissue biopsy. A representation of the patients metabolic pathways is displayed as a graph in the application, with nodes as substrates and products and edges as enzymes. The top metabolically active sub- paths in the pathway, ranked using an algorithm based on both the patients biological data and the graph topology, are also displayed and can be individually highlighted to examine potential enzymatic sites to be disrupted by a drug.