Recent interest in modeling biochemical networks raises questions about the relationship between often complex mathematical models and familiar arithmetic concepts from classical enzymology, and also about connections between modeling and experimental data. This review addresses both topics by familiarizing readers with key concepts (and terminology) in the construction, validation, and applica...

An amoeba is the image of a subvariety an algebraic torus under logarithmic moment map. We consider some qualitative aspects amoebas, establishing results and posing problems for further study. These include determining dimension amoeba, describing as semi-algebraic set, identifying varieties whose amoebas are finite intersection hypersurfaces. show that not full such if its variety nondegenera...